1545821349.079 * [misc]progress: [Phase 1 of 3] Setting up. 1545821349.079 * * * [misc]progress: [1/2] Preparing points 1545821349.079 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545821349.191 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.191 * * * * [misc]points: Sampling 196 additional inputs, on iter 1 have 60 / 256 1545821349.250 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.250 * * * * [misc]points: Sampling 141 additional inputs, on iter 2 have 115 / 256 1545821349.287 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.287 * * * * [misc]points: Sampling 107 additional inputs, on iter 3 have 149 / 256 1545821349.349 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.349 * * * * [misc]points: Sampling 77 additional inputs, on iter 4 have 179 / 256 1545821349.384 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.385 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1545821349.398 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.398 * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 1545821349.408 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.408 * * * * [misc]points: Sampling 35 additional inputs, on iter 7 have 221 / 256 1545821349.416 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.416 * * * * [misc]points: Sampling 27 additional inputs, on iter 8 have 229 / 256 1545821349.428 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.428 * * * * [misc]points: Sampling 20 additional inputs, on iter 9 have 236 / 256 1545821349.439 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.439 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1545821349.449 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.449 * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 1545821349.453 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.454 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1545821349.457 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.457 * * * * [misc]points: Sampling 6 additional inputs, on iter 13 have 250 / 256 1545821349.460 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.460 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1545821349.463 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.463 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1545821349.465 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.465 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1545821349.468 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.468 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1545821349.470 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.470 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1545821349.473 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.473 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545821349.475 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.475 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1545821349.478 * * * * [misc]points: Filtering points with unrepresentable outputs 1545821349.478 * * * * [exit]points: Sampled 257 points with exact outputs 1545821349.478 * * * [misc]progress: [2/2] Setting up program. 1545821349.484 * [misc]progress: [Phase 2 of 3] Improving. 1545821349.484 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545821349.484 * * [misc]simplify: iters left: 6 (13 enodes) 1545821349.523 * * [misc]simplify: iters left: 5 (28 enodes) 1545821349.531 * * [misc]simplify: iters left: 4 (41 enodes) 1545821349.536 * * [misc]simplify: iters left: 3 (51 enodes) 1545821349.542 * * [misc]simplify: iters left: 2 (53 enodes) 1545821349.548 * * [misc]simplify: iters left: 1 (57 enodes) 1545821349.553 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545821349.566 * * [misc]progress: iteration 1 / 4 1545821349.566 * * * [misc]progress: picking best candidate 1545821349.578 * * * * [misc]pick: Picked # 1545821349.578 * * * [misc]progress: localizing error 1545821349.608 * * * [misc]progress: generating rewritten candidates 1545821349.608 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545821349.615 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545821349.616 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545821349.622 * * * [misc]progress: generating series expansions 1545821349.622 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545821349.622 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545821349.622 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545821349.622 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821349.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.623 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.623 * [misc]taylor: Taking taylor expansion of k in k 1545821349.623 * [misc]backup-simplify: Simplify 0 into 0 1545821349.623 * [misc]backup-simplify: Simplify 1 into 1 1545821349.623 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.623 * [misc]backup-simplify: Simplify 2 into 2 1545821349.623 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821349.623 * [misc]taylor: Taking taylor expansion of n in k 1545821349.623 * [misc]backup-simplify: Simplify n into n 1545821349.623 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.623 * [misc]backup-simplify: Simplify PI into PI 1545821349.623 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821349.623 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821349.623 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821349.623 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821349.624 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.624 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.624 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821349.624 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821349.624 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.624 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.624 * [misc]taylor: Taking taylor expansion of k in n 1545821349.624 * [misc]backup-simplify: Simplify k into k 1545821349.624 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.624 * [misc]backup-simplify: Simplify 2 into 2 1545821349.624 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.624 * [misc]taylor: Taking taylor expansion of n in n 1545821349.624 * [misc]backup-simplify: Simplify 0 into 0 1545821349.625 * [misc]backup-simplify: Simplify 1 into 1 1545821349.625 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.625 * [misc]backup-simplify: Simplify PI into PI 1545821349.625 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821349.625 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821349.626 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821349.627 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821349.627 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.627 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821349.627 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821349.627 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821349.628 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.629 * [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)))) 1545821349.629 * [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))))) 1545821349.629 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821349.629 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821349.629 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821349.629 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821349.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.629 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821349.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.630 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.630 * [misc]taylor: Taking taylor expansion of k in n 1545821349.630 * [misc]backup-simplify: Simplify k into k 1545821349.630 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821349.630 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.630 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.630 * [misc]backup-simplify: Simplify 2 into 2 1545821349.630 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.630 * [misc]taylor: Taking taylor expansion of n in n 1545821349.630 * [misc]backup-simplify: Simplify 0 into 0 1545821349.630 * [misc]backup-simplify: Simplify 1 into 1 1545821349.630 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.630 * [misc]backup-simplify: Simplify PI into PI 1545821349.630 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821349.630 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821349.631 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821349.631 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821349.632 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.632 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821349.632 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821349.632 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821349.632 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.633 * [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)))) 1545821349.633 * [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))))) 1545821349.633 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.633 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.633 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.633 * [misc]taylor: Taking taylor expansion of k in k 1545821349.633 * [misc]backup-simplify: Simplify 0 into 0 1545821349.633 * [misc]backup-simplify: Simplify 1 into 1 1545821349.633 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821349.633 * [misc]taylor: Taking taylor expansion of n in k 1545821349.633 * [misc]backup-simplify: Simplify n into n 1545821349.634 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821349.634 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821349.634 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821349.634 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.634 * [misc]backup-simplify: Simplify 2 into 2 1545821349.634 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.634 * [misc]backup-simplify: Simplify PI into PI 1545821349.634 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.634 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.634 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821349.634 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.634 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.635 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.635 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545821349.635 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545821349.636 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545821349.636 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821349.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821349.639 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545821349.639 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.639 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.639 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.640 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545821349.641 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821349.641 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.641 * [misc]backup-simplify: Simplify 0 into 0 1545821349.641 * [misc]backup-simplify: Simplify 0 into 0 1545821349.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545821349.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821349.644 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.644 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.644 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821349.644 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.644 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545821349.646 * [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))))))) 1545821349.647 * [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))))))) 1545821349.648 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545821349.652 * [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 1545821349.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545821349.652 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.653 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.653 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821349.654 * [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 1545821349.654 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.654 * [misc]backup-simplify: Simplify 0 into 0 1545821349.654 * [misc]backup-simplify: Simplify 0 into 0 1545821349.655 * [misc]backup-simplify: Simplify 0 into 0 1545821349.655 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545821349.656 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.659 * [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 1545821349.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.659 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821349.659 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.660 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821349.663 * [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))))) 1545821349.665 * [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))))) 1545821349.671 * [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))))) 1545821349.671 * [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)))) 1545821349.671 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545821349.671 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.671 * [misc]taylor: Taking taylor expansion of k in k 1545821349.671 * [misc]backup-simplify: Simplify 0 into 0 1545821349.671 * [misc]backup-simplify: Simplify 1 into 1 1545821349.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.672 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821349.672 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821349.672 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.672 * [misc]backup-simplify: Simplify 2 into 2 1545821349.672 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821349.672 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.672 * [misc]backup-simplify: Simplify PI into PI 1545821349.672 * [misc]taylor: Taking taylor expansion of n in k 1545821349.672 * [misc]backup-simplify: Simplify n into n 1545821349.672 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821349.672 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821349.672 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821349.672 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.672 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.673 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821349.673 * [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)))) 1545821349.673 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of k in n 1545821349.673 * [misc]backup-simplify: Simplify k into k 1545821349.673 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.673 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.673 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.673 * [misc]backup-simplify: Simplify 2 into 2 1545821349.673 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.674 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.674 * [misc]backup-simplify: Simplify PI into PI 1545821349.674 * [misc]taylor: Taking taylor expansion of n in n 1545821349.674 * [misc]backup-simplify: Simplify 0 into 0 1545821349.674 * [misc]backup-simplify: Simplify 1 into 1 1545821349.674 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.674 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.675 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.675 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.675 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821349.675 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821349.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.676 * [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))) 1545821349.677 * [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)))) 1545821349.677 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.677 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.677 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.677 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.677 * [misc]taylor: Taking taylor expansion of k in n 1545821349.678 * [misc]backup-simplify: Simplify k into k 1545821349.678 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.678 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821349.678 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.678 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.678 * [misc]backup-simplify: Simplify 2 into 2 1545821349.678 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.678 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.678 * [misc]backup-simplify: Simplify PI into PI 1545821349.678 * [misc]taylor: Taking taylor expansion of n in n 1545821349.678 * [misc]backup-simplify: Simplify 0 into 0 1545821349.678 * [misc]backup-simplify: Simplify 1 into 1 1545821349.678 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.678 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.679 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.679 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.679 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821349.679 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821349.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.680 * [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))) 1545821349.681 * [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)))) 1545821349.681 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545821349.681 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545821349.681 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821349.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.681 * [misc]taylor: Taking taylor expansion of k in k 1545821349.681 * [misc]backup-simplify: Simplify 0 into 0 1545821349.682 * [misc]backup-simplify: Simplify 1 into 1 1545821349.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.682 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545821349.682 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821349.682 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821349.682 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.682 * [misc]backup-simplify: Simplify 2 into 2 1545821349.682 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.682 * [misc]backup-simplify: Simplify PI into PI 1545821349.682 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.683 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.683 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821349.683 * [misc]taylor: Taking taylor expansion of n in k 1545821349.683 * [misc]backup-simplify: Simplify n into n 1545821349.683 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821349.683 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.683 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.683 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.683 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821349.684 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545821349.684 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545821349.685 * [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)))) 1545821349.686 * [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)))) 1545821349.687 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821349.687 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821349.690 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.690 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821349.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821349.690 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.691 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.692 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545821349.693 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821349.693 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.693 * [misc]backup-simplify: Simplify 0 into 0 1545821349.693 * [misc]backup-simplify: Simplify 0 into 0 1545821349.693 * [misc]backup-simplify: Simplify 0 into 0 1545821349.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.701 * [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 1545821349.701 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.702 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821349.702 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.703 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.703 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545821349.706 * [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 1545821349.706 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.706 * [misc]backup-simplify: Simplify 0 into 0 1545821349.706 * [misc]backup-simplify: Simplify 0 into 0 1545821349.706 * [misc]backup-simplify: Simplify 0 into 0 1545821349.706 * [misc]backup-simplify: Simplify 0 into 0 1545821349.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.717 * [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 1545821349.717 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821349.718 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.719 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.720 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545821349.724 * [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 1545821349.724 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.724 * [misc]backup-simplify: Simplify 0 into 0 1545821349.724 * [misc]backup-simplify: Simplify 0 into 0 1545821349.725 * [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))))) 1545821349.725 * [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)) 1545821349.725 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545821349.725 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.725 * [misc]taylor: Taking taylor expansion of k in k 1545821349.725 * [misc]backup-simplify: Simplify 0 into 0 1545821349.725 * [misc]backup-simplify: Simplify 1 into 1 1545821349.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.726 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821349.726 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821349.726 * [misc]taylor: Taking taylor expansion of -2 in k 1545821349.726 * [misc]backup-simplify: Simplify -2 into -2 1545821349.726 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821349.726 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.726 * [misc]backup-simplify: Simplify PI into PI 1545821349.726 * [misc]taylor: Taking taylor expansion of n in k 1545821349.726 * [misc]backup-simplify: Simplify n into n 1545821349.726 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821349.726 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821349.726 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821349.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.727 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821349.727 * [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))) 1545821349.727 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of k in n 1545821349.727 * [misc]backup-simplify: Simplify k into k 1545821349.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.727 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of -2 in n 1545821349.727 * [misc]backup-simplify: Simplify -2 into -2 1545821349.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.727 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.727 * [misc]backup-simplify: Simplify PI into PI 1545821349.727 * [misc]taylor: Taking taylor expansion of n in n 1545821349.727 * [misc]backup-simplify: Simplify 0 into 0 1545821349.727 * [misc]backup-simplify: Simplify 1 into 1 1545821349.728 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.728 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821349.728 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821349.728 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.728 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821349.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821349.729 * [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))) 1545821349.729 * [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)))) 1545821349.729 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821349.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821349.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821349.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821349.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.730 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.730 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.730 * [misc]taylor: Taking taylor expansion of k in n 1545821349.730 * [misc]backup-simplify: Simplify k into k 1545821349.730 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.730 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.730 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.730 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821349.730 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821349.730 * [misc]taylor: Taking taylor expansion of -2 in n 1545821349.730 * [misc]backup-simplify: Simplify -2 into -2 1545821349.730 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.730 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.730 * [misc]backup-simplify: Simplify PI into PI 1545821349.730 * [misc]taylor: Taking taylor expansion of n in n 1545821349.730 * [misc]backup-simplify: Simplify 0 into 0 1545821349.730 * [misc]backup-simplify: Simplify 1 into 1 1545821349.730 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.730 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821349.730 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821349.730 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.731 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821349.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821349.731 * [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))) 1545821349.732 * [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)))) 1545821349.732 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.732 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of k in k 1545821349.732 * [misc]backup-simplify: Simplify 0 into 0 1545821349.732 * [misc]backup-simplify: Simplify 1 into 1 1545821349.732 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.732 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545821349.732 * [misc]taylor: Taking taylor expansion of -2 in k 1545821349.732 * [misc]backup-simplify: Simplify -2 into -2 1545821349.732 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.732 * [misc]backup-simplify: Simplify PI into PI 1545821349.732 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821349.733 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821349.733 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821349.733 * [misc]taylor: Taking taylor expansion of n in k 1545821349.733 * [misc]backup-simplify: Simplify n into n 1545821349.733 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821349.733 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.733 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.733 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821349.733 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545821349.734 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545821349.734 * [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)))) 1545821349.734 * [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)))) 1545821349.735 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821349.736 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821349.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545821349.739 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821349.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821349.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.740 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821349.741 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545821349.742 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821349.742 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.742 * [misc]backup-simplify: Simplify 0 into 0 1545821349.742 * [misc]backup-simplify: Simplify 0 into 0 1545821349.743 * [misc]backup-simplify: Simplify 0 into 0 1545821349.744 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.745 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.751 * [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 1545821349.751 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821349.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821349.755 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545821349.758 * [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 1545821349.758 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.758 * [misc]backup-simplify: Simplify 0 into 0 1545821349.758 * [misc]backup-simplify: Simplify 0 into 0 1545821349.758 * [misc]backup-simplify: Simplify 0 into 0 1545821349.758 * [misc]backup-simplify: Simplify 0 into 0 1545821349.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.762 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.770 * [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 1545821349.770 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821349.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821349.772 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545821349.776 * [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 1545821349.776 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.776 * [misc]backup-simplify: Simplify 0 into 0 1545821349.776 * [misc]backup-simplify: Simplify 0 into 0 1545821349.777 * [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))))) 1545821349.777 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545821349.777 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545821349.777 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545821349.777 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.777 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.777 * [misc]backup-simplify: Simplify 2 into 2 1545821349.777 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.777 * [misc]taylor: Taking taylor expansion of n in n 1545821349.777 * [misc]backup-simplify: Simplify 0 into 0 1545821349.777 * [misc]backup-simplify: Simplify 1 into 1 1545821349.777 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.777 * [misc]backup-simplify: Simplify PI into PI 1545821349.778 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.778 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.778 * [misc]backup-simplify: Simplify 2 into 2 1545821349.778 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.778 * [misc]taylor: Taking taylor expansion of n in n 1545821349.778 * [misc]backup-simplify: Simplify 0 into 0 1545821349.778 * [misc]backup-simplify: Simplify 1 into 1 1545821349.778 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.778 * [misc]backup-simplify: Simplify PI into PI 1545821349.778 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821349.778 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821349.778 * [misc]backup-simplify: Simplify 0 into 0 1545821349.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821349.780 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821349.780 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.781 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821349.782 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821349.782 * [misc]backup-simplify: Simplify 0 into 0 1545821349.784 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.785 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545821349.785 * [misc]backup-simplify: Simplify 0 into 0 1545821349.787 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821349.789 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545821349.789 * [misc]backup-simplify: Simplify 0 into 0 1545821349.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821349.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545821349.794 * [misc]backup-simplify: Simplify 0 into 0 1545821349.795 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821349.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545821349.798 * [misc]backup-simplify: Simplify 0 into 0 1545821349.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545821349.803 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545821349.803 * [misc]backup-simplify: Simplify 0 into 0 1545821349.803 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545821349.803 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545821349.803 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545821349.803 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.803 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.803 * [misc]backup-simplify: Simplify 2 into 2 1545821349.803 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.803 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.803 * [misc]backup-simplify: Simplify PI into PI 1545821349.803 * [misc]taylor: Taking taylor expansion of n in n 1545821349.803 * [misc]backup-simplify: Simplify 0 into 0 1545821349.803 * [misc]backup-simplify: Simplify 1 into 1 1545821349.803 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.803 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.804 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.804 * [misc]backup-simplify: Simplify 2 into 2 1545821349.804 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.804 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.804 * [misc]backup-simplify: Simplify PI into PI 1545821349.804 * [misc]taylor: Taking taylor expansion of n in n 1545821349.804 * [misc]backup-simplify: Simplify 0 into 0 1545821349.804 * [misc]backup-simplify: Simplify 1 into 1 1545821349.804 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.804 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.804 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.805 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821349.805 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821349.805 * [misc]backup-simplify: Simplify 0 into 0 1545821349.806 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.807 * [misc]backup-simplify: Simplify 0 into 0 1545821349.808 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.809 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.809 * [misc]backup-simplify: Simplify 0 into 0 1545821349.810 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.811 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821349.811 * [misc]backup-simplify: Simplify 0 into 0 1545821349.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.814 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821349.814 * [misc]backup-simplify: Simplify 0 into 0 1545821349.815 * [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 1545821349.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821349.817 * [misc]backup-simplify: Simplify 0 into 0 1545821349.817 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545821349.817 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545821349.817 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545821349.817 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821349.817 * [misc]taylor: Taking taylor expansion of -2 in n 1545821349.817 * [misc]backup-simplify: Simplify -2 into -2 1545821349.817 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.817 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.817 * [misc]backup-simplify: Simplify PI into PI 1545821349.817 * [misc]taylor: Taking taylor expansion of n in n 1545821349.817 * [misc]backup-simplify: Simplify 0 into 0 1545821349.817 * [misc]backup-simplify: Simplify 1 into 1 1545821349.817 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.817 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821349.818 * [misc]taylor: Taking taylor expansion of -2 in n 1545821349.818 * [misc]backup-simplify: Simplify -2 into -2 1545821349.818 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.818 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.818 * [misc]backup-simplify: Simplify PI into PI 1545821349.818 * [misc]taylor: Taking taylor expansion of n in n 1545821349.818 * [misc]backup-simplify: Simplify 0 into 0 1545821349.818 * [misc]backup-simplify: Simplify 1 into 1 1545821349.818 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.818 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821349.818 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821349.819 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821349.819 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821349.819 * [misc]backup-simplify: Simplify 0 into 0 1545821349.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.821 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.821 * [misc]backup-simplify: Simplify 0 into 0 1545821349.822 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.822 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.822 * [misc]backup-simplify: Simplify 0 into 0 1545821349.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.825 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821349.825 * [misc]backup-simplify: Simplify 0 into 0 1545821349.826 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.827 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821349.828 * [misc]backup-simplify: Simplify 0 into 0 1545821349.829 * [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 1545821349.831 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821349.831 * [misc]backup-simplify: Simplify 0 into 0 1545821349.831 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545821349.831 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545821349.831 * [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)))) 1545821349.831 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545821349.831 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545821349.831 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821349.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.831 * [misc]taylor: Taking taylor expansion of k in k 1545821349.831 * [misc]backup-simplify: Simplify 0 into 0 1545821349.831 * [misc]backup-simplify: Simplify 1 into 1 1545821349.831 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.832 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821349.832 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821349.832 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.832 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.832 * [misc]taylor: Taking taylor expansion of k in k 1545821349.832 * [misc]backup-simplify: Simplify 0 into 0 1545821349.832 * [misc]backup-simplify: Simplify 1 into 1 1545821349.832 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.832 * [misc]backup-simplify: Simplify 2 into 2 1545821349.832 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821349.832 * [misc]taylor: Taking taylor expansion of n in k 1545821349.832 * [misc]backup-simplify: Simplify n into n 1545821349.832 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.832 * [misc]backup-simplify: Simplify PI into PI 1545821349.832 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821349.832 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821349.832 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821349.833 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821349.833 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.833 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.833 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821349.833 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821349.833 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of k in n 1545821349.833 * [misc]backup-simplify: Simplify k into k 1545821349.833 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.833 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821349.833 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821349.833 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821349.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.833 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.833 * [misc]taylor: Taking taylor expansion of k in n 1545821349.833 * [misc]backup-simplify: Simplify k into k 1545821349.833 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.833 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.833 * [misc]backup-simplify: Simplify 2 into 2 1545821349.834 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.834 * [misc]taylor: Taking taylor expansion of n in n 1545821349.834 * [misc]backup-simplify: Simplify 0 into 0 1545821349.834 * [misc]backup-simplify: Simplify 1 into 1 1545821349.834 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.834 * [misc]backup-simplify: Simplify PI into PI 1545821349.834 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821349.834 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821349.834 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821349.835 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821349.836 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.836 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821349.836 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821349.836 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821349.836 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.837 * [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)))) 1545821349.837 * [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))))) 1545821349.837 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of k in n 1545821349.837 * [misc]backup-simplify: Simplify k into k 1545821349.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.837 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821349.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821349.837 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821349.837 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.837 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.837 * [misc]taylor: Taking taylor expansion of k in n 1545821349.837 * [misc]backup-simplify: Simplify k into k 1545821349.837 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.837 * [misc]backup-simplify: Simplify 2 into 2 1545821349.837 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821349.837 * [misc]taylor: Taking taylor expansion of n in n 1545821349.837 * [misc]backup-simplify: Simplify 0 into 0 1545821349.838 * [misc]backup-simplify: Simplify 1 into 1 1545821349.838 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.838 * [misc]backup-simplify: Simplify PI into PI 1545821349.838 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821349.838 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821349.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821349.839 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821349.839 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.839 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821349.839 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821349.839 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821349.839 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.840 * [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)))) 1545821349.840 * [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))))) 1545821349.841 * [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))) 1545821349.841 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.841 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.841 * [misc]taylor: Taking taylor expansion of k in k 1545821349.841 * [misc]backup-simplify: Simplify 0 into 0 1545821349.841 * [misc]backup-simplify: Simplify 1 into 1 1545821349.841 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of n in k 1545821349.841 * [misc]backup-simplify: Simplify n into n 1545821349.841 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821349.841 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821349.841 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.841 * [misc]backup-simplify: Simplify 2 into 2 1545821349.841 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.841 * [misc]backup-simplify: Simplify PI into PI 1545821349.841 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.842 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.842 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821349.842 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.842 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821349.842 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.842 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545821349.843 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545821349.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821349.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.843 * [misc]taylor: Taking taylor expansion of k in k 1545821349.843 * [misc]backup-simplify: Simplify 0 into 0 1545821349.843 * [misc]backup-simplify: Simplify 1 into 1 1545821349.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821349.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821349.844 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545821349.844 * [misc]backup-simplify: Simplify 0 into 0 1545821349.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821349.847 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821349.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.850 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545821349.850 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.850 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.851 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.851 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545821349.853 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821349.854 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545821349.854 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.854 * [misc]backup-simplify: Simplify 0 into 0 1545821349.855 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545821349.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821349.858 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.859 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821349.859 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.859 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545821349.861 * [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))))))) 1545821349.863 * [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))))))) 1545821349.864 * [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))))))) 1545821349.866 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.868 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545821349.873 * [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 1545821349.873 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545821349.873 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.874 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.875 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821349.878 * [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 1545821349.878 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.879 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545821349.881 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545821349.881 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.881 * [misc]backup-simplify: Simplify 0 into 0 1545821349.881 * [misc]backup-simplify: Simplify 0 into 0 1545821349.882 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821349.883 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821349.884 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545821349.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.890 * [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 1545821349.891 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.891 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821349.891 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.891 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.892 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821349.894 * [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))))) 1545821349.899 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +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)))))))) 1545821349.902 * [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)))))))) 1545821349.904 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821349.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545821349.915 * [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 1545821349.915 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545821349.915 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.916 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821349.917 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545821349.921 * [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 1545821349.921 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.922 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545821349.923 * [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 1545821349.923 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.923 * [misc]backup-simplify: Simplify 0 into 0 1545821349.923 * [misc]backup-simplify: Simplify 0 into 0 1545821349.923 * [misc]backup-simplify: Simplify 0 into 0 1545821349.923 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.925 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821349.927 * [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 1545821349.929 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821349.937 * [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 1545821349.937 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.938 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821349.938 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545821349.943 * [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))))))) 1545821349.950 * [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)))))))))))))) 1545821349.954 * [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)))))))))))))) 1545821349.961 * [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)))))))))))))))))))))) 1545821349.961 * [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))))) 1545821349.961 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545821349.961 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821349.961 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821349.961 * [misc]taylor: Taking taylor expansion of k in k 1545821349.961 * [misc]backup-simplify: Simplify 0 into 0 1545821349.961 * [misc]backup-simplify: Simplify 1 into 1 1545821349.961 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821349.961 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821349.961 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of k in k 1545821349.962 * [misc]backup-simplify: Simplify 0 into 0 1545821349.962 * [misc]backup-simplify: Simplify 1 into 1 1545821349.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.962 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.962 * [misc]backup-simplify: Simplify 2 into 2 1545821349.962 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821349.962 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.962 * [misc]backup-simplify: Simplify PI into PI 1545821349.962 * [misc]taylor: Taking taylor expansion of n in k 1545821349.962 * [misc]backup-simplify: Simplify n into n 1545821349.962 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821349.962 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821349.962 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821349.962 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.962 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.962 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.962 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821349.963 * [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)))) 1545821349.963 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of k in n 1545821349.963 * [misc]backup-simplify: Simplify k into k 1545821349.963 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821349.963 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821349.963 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of k in n 1545821349.963 * [misc]backup-simplify: Simplify k into k 1545821349.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.963 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.963 * [misc]backup-simplify: Simplify 2 into 2 1545821349.963 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.963 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.963 * [misc]backup-simplify: Simplify PI into PI 1545821349.963 * [misc]taylor: Taking taylor expansion of n in n 1545821349.963 * [misc]backup-simplify: Simplify 0 into 0 1545821349.963 * [misc]backup-simplify: Simplify 1 into 1 1545821349.963 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.963 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.964 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.964 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821349.964 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821349.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.965 * [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))) 1545821349.965 * [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)))) 1545821349.965 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of k in n 1545821349.965 * [misc]backup-simplify: Simplify k into k 1545821349.965 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821349.965 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821349.965 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.965 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821349.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.965 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821349.965 * [misc]taylor: Taking taylor expansion of k in n 1545821349.966 * [misc]backup-simplify: Simplify k into k 1545821349.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821349.966 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821349.966 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821349.966 * [misc]taylor: Taking taylor expansion of 2 in n 1545821349.966 * [misc]backup-simplify: Simplify 2 into 2 1545821349.966 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821349.966 * [misc]taylor: Taking taylor expansion of PI in n 1545821349.966 * [misc]backup-simplify: Simplify PI into PI 1545821349.966 * [misc]taylor: Taking taylor expansion of n in n 1545821349.966 * [misc]backup-simplify: Simplify 0 into 0 1545821349.966 * [misc]backup-simplify: Simplify 1 into 1 1545821349.966 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821349.966 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.966 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.966 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821349.966 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821349.966 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821349.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.967 * [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))) 1545821349.968 * [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)))) 1545821349.968 * [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)) 1545821349.968 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821349.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821349.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821349.968 * [misc]taylor: Taking taylor expansion of k in k 1545821349.968 * [misc]backup-simplify: Simplify 0 into 0 1545821349.968 * [misc]backup-simplify: Simplify 1 into 1 1545821349.969 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821349.969 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545821349.969 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821349.969 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821349.969 * [misc]taylor: Taking taylor expansion of 2 in k 1545821349.969 * [misc]backup-simplify: Simplify 2 into 2 1545821349.969 * [misc]taylor: Taking taylor expansion of PI in k 1545821349.969 * [misc]backup-simplify: Simplify PI into PI 1545821349.969 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821349.969 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821349.969 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821349.969 * [misc]taylor: Taking taylor expansion of n in k 1545821349.969 * [misc]backup-simplify: Simplify n into n 1545821349.969 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821349.969 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821349.969 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821349.969 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821349.970 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821349.970 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545821349.970 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545821349.971 * [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)))) 1545821349.971 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821349.971 * [misc]taylor: Taking taylor expansion of k in k 1545821349.971 * [misc]backup-simplify: Simplify 0 into 0 1545821349.971 * [misc]backup-simplify: Simplify 1 into 1 1545821349.971 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821349.971 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821349.971 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545821349.971 * [misc]backup-simplify: Simplify 0 into 0 1545821349.972 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821349.973 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821349.974 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821349.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821349.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821349.974 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.975 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545821349.976 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821349.977 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545821349.977 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.977 * [misc]backup-simplify: Simplify 0 into 0 1545821349.977 * [misc]backup-simplify: Simplify 0 into 0 1545821349.977 * [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)))))) 1545821349.978 * [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)))))) 1545821349.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.979 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821349.982 * [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 1545821349.982 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821349.983 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821349.983 * [misc]backup-simplify: Simplify (- 0) into 0 1545821349.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821349.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821349.984 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545821349.985 * [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 1545821349.986 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545821349.986 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545821349.986 * [misc]taylor: Taking taylor expansion of 0 in k 1545821349.986 * [misc]backup-simplify: Simplify 0 into 0 1545821349.986 * [misc]backup-simplify: Simplify 0 into 0 1545821349.986 * [misc]backup-simplify: Simplify 0 into 0 1545821349.987 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821349.988 * [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)))))) 1545821349.988 * [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)))))) 1545821349.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821349.992 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821350.000 * [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 1545821350.000 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821350.001 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821350.001 * [misc]backup-simplify: Simplify (- 0) into 0 1545821350.001 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821350.002 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821350.003 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545821350.007 * [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 1545821350.007 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545821350.008 * [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 1545821350.008 * [misc]taylor: Taking taylor expansion of 0 in k 1545821350.008 * [misc]backup-simplify: Simplify 0 into 0 1545821350.008 * [misc]backup-simplify: Simplify 0 into 0 1545821350.008 * [misc]backup-simplify: Simplify 0 into 0 1545821350.008 * [misc]backup-simplify: Simplify 0 into 0 1545821350.010 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821350.010 * [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)))))) 1545821350.011 * [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)))))) 1545821350.014 * [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)))))))) 1545821350.014 * [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))) 1545821350.014 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545821350.014 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545821350.014 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821350.014 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821350.014 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821350.015 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821350.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821350.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821350.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821350.015 * [misc]taylor: Taking taylor expansion of k in k 1545821350.015 * [misc]backup-simplify: Simplify 0 into 0 1545821350.015 * [misc]backup-simplify: Simplify 1 into 1 1545821350.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821350.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821350.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.016 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821350.016 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821350.016 * [misc]taylor: Taking taylor expansion of -2 in k 1545821350.016 * [misc]backup-simplify: Simplify -2 into -2 1545821350.016 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821350.016 * [misc]taylor: Taking taylor expansion of PI in k 1545821350.016 * [misc]backup-simplify: Simplify PI into PI 1545821350.016 * [misc]taylor: Taking taylor expansion of n in k 1545821350.016 * [misc]backup-simplify: Simplify n into n 1545821350.016 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821350.016 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821350.016 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821350.017 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821350.017 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821350.017 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821350.017 * [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))) 1545821350.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821350.017 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821350.017 * [misc]taylor: Taking taylor expansion of -1 in k 1545821350.017 * [misc]backup-simplify: Simplify -1 into -1 1545821350.017 * [misc]taylor: Taking taylor expansion of k in k 1545821350.017 * [misc]backup-simplify: Simplify 0 into 0 1545821350.017 * [misc]backup-simplify: Simplify 1 into 1 1545821350.018 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821350.018 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821350.018 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821350.019 * [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)))) 1545821350.019 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821350.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of k in n 1545821350.019 * [misc]backup-simplify: Simplify k into k 1545821350.019 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821350.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821350.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.019 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of -2 in n 1545821350.019 * [misc]backup-simplify: Simplify -2 into -2 1545821350.019 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821350.019 * [misc]taylor: Taking taylor expansion of PI in n 1545821350.019 * [misc]backup-simplify: Simplify PI into PI 1545821350.019 * [misc]taylor: Taking taylor expansion of n in n 1545821350.019 * [misc]backup-simplify: Simplify 0 into 0 1545821350.019 * [misc]backup-simplify: Simplify 1 into 1 1545821350.020 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821350.020 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821350.020 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821350.020 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821350.021 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821350.021 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821350.022 * [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))) 1545821350.022 * [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)))) 1545821350.023 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821350.023 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821350.023 * [misc]taylor: Taking taylor expansion of -1 in n 1545821350.023 * [misc]backup-simplify: Simplify -1 into -1 1545821350.023 * [misc]taylor: Taking taylor expansion of k in n 1545821350.023 * [misc]backup-simplify: Simplify k into k 1545821350.023 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821350.023 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821350.023 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821350.023 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821350.024 * [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))) 1545821350.024 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821350.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.024 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of k in n 1545821350.024 * [misc]backup-simplify: Simplify k into k 1545821350.024 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821350.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821350.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.024 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of -2 in n 1545821350.024 * [misc]backup-simplify: Simplify -2 into -2 1545821350.024 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821350.024 * [misc]taylor: Taking taylor expansion of PI in n 1545821350.024 * [misc]backup-simplify: Simplify PI into PI 1545821350.025 * [misc]taylor: Taking taylor expansion of n in n 1545821350.025 * [misc]backup-simplify: Simplify 0 into 0 1545821350.025 * [misc]backup-simplify: Simplify 1 into 1 1545821350.025 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821350.025 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821350.026 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821350.026 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821350.026 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821350.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821350.027 * [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))) 1545821350.028 * [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)))) 1545821350.028 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821350.028 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821350.028 * [misc]taylor: Taking taylor expansion of -1 in n 1545821350.028 * [misc]backup-simplify: Simplify -1 into -1 1545821350.028 * [misc]taylor: Taking taylor expansion of k in n 1545821350.028 * [misc]backup-simplify: Simplify k into k 1545821350.028 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821350.028 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821350.028 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821350.028 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821350.029 * [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))) 1545821350.029 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821350.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.029 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821350.029 * [misc]taylor: Taking taylor expansion of k in k 1545821350.029 * [misc]backup-simplify: Simplify 0 into 0 1545821350.029 * [misc]backup-simplify: Simplify 1 into 1 1545821350.030 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821350.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821350.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821350.030 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545821350.030 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545821350.030 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545821350.030 * [misc]taylor: Taking taylor expansion of -2 in k 1545821350.030 * [misc]backup-simplify: Simplify -2 into -2 1545821350.030 * [misc]taylor: Taking taylor expansion of PI in k 1545821350.030 * [misc]backup-simplify: Simplify PI into PI 1545821350.030 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821350.031 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821350.031 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821350.031 * [misc]taylor: Taking taylor expansion of n in k 1545821350.031 * [misc]backup-simplify: Simplify n into n 1545821350.031 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821350.031 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821350.031 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821350.031 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821350.032 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545821350.032 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545821350.033 * [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)))) 1545821350.033 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821350.033 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821350.033 * [misc]taylor: Taking taylor expansion of -1 in k 1545821350.033 * [misc]backup-simplify: Simplify -1 into -1 1545821350.033 * [misc]taylor: Taking taylor expansion of k in k 1545821350.033 * [misc]backup-simplify: Simplify 0 into 0 1545821350.033 * [misc]backup-simplify: Simplify 1 into 1 1545821350.033 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821350.034 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821350.034 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821350.035 * [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))))) 1545821350.035 * [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))))) 1545821350.037 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821350.037 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821350.040 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545821350.040 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821350.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821350.041 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821350.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821350.042 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545821350.044 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821350.045 * [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 1545821350.045 * [misc]taylor: Taking taylor expansion of 0 in k 1545821350.045 * [misc]backup-simplify: Simplify 0 into 0 1545821350.045 * [misc]backup-simplify: Simplify 0 into 0 1545821350.045 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821350.046 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821350.047 * [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)))))) 1545821350.048 * [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)))))) 1545821350.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821350.051 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821350.056 * [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 1545821350.056 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821350.056 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821350.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821350.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821350.058 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545821350.060 * [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 1545821350.060 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821350.061 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545821350.062 * [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 1545821350.062 * [misc]taylor: Taking taylor expansion of 0 in k 1545821350.062 * [misc]backup-simplify: Simplify 0 into 0 1545821350.062 * [misc]backup-simplify: Simplify 0 into 0 1545821350.062 * [misc]backup-simplify: Simplify 0 into 0 1545821350.062 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821350.063 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821350.065 * [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)))))) 1545821350.066 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) 1545821350.068 * [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))))))))))) 1545821350.068 * * * [misc]progress: simplifying candidates 1545821350.068 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545821350.068 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545821350.068 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545821350.068 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545821350.069 * * [misc]simplify: iters left: 6 (11 enodes) 1545821350.072 * * [misc]simplify: iters left: 5 (21 enodes) 1545821350.079 * * [misc]simplify: iters left: 4 (47 enodes) 1545821350.098 * * [misc]simplify: iters left: 3 (112 enodes) 1545821350.131 * * [misc]simplify: iters left: 2 (337 enodes) 1545821350.428 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545821350.428 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545821350.429 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545821350.429 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545821350.429 * [enter]simplify: Simplifying (* PI (* n 2)) 1545821350.429 * * [misc]simplify: iters left: 4 (5 enodes) 1545821350.430 * * [misc]simplify: iters left: 3 (9 enodes) 1545821350.431 * * [misc]simplify: iters left: 2 (15 enodes) 1545821350.433 * * [misc]simplify: iters left: 1 (17 enodes) 1545821350.435 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545821350.435 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545821350.435 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545821350.435 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545821350.435 * * [misc]simplify: iters left: 5 (8 enodes) 1545821350.436 * * [misc]simplify: iters left: 4 (12 enodes) 1545821350.438 * * [misc]simplify: iters left: 3 (18 enodes) 1545821350.440 * * [misc]simplify: iters left: 2 (20 enodes) 1545821350.443 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545821350.443 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545821350.443 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545821350.443 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821350.443 * * [misc]simplify: iters left: 5 (6 enodes) 1545821350.444 * * [misc]simplify: iters left: 4 (8 enodes) 1545821350.445 * * [misc]simplify: iters left: 3 (11 enodes) 1545821350.447 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821350.447 * [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))) 1545821350.447 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545821350.447 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821350.447 * * [misc]simplify: iters left: 5 (6 enodes) 1545821350.448 * * [misc]simplify: iters left: 4 (8 enodes) 1545821350.449 * * [misc]simplify: iters left: 3 (11 enodes) 1545821350.450 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821350.450 * [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))) 1545821350.450 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545821350.451 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821350.451 * * [misc]simplify: iters left: 4 (5 enodes) 1545821350.452 * * [misc]simplify: iters left: 3 (7 enodes) 1545821350.453 * * [misc]simplify: iters left: 2 (10 enodes) 1545821350.456 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821350.456 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545821350.456 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545821350.456 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821350.456 * * [misc]simplify: iters left: 5 (9 enodes) 1545821350.459 * * [misc]simplify: iters left: 4 (15 enodes) 1545821350.463 * * [misc]simplify: iters left: 3 (21 enodes) 1545821350.468 * * [misc]simplify: iters left: 2 (22 enodes) 1545821350.474 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821350.474 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545821350.474 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545821350.474 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821350.474 * * [misc]simplify: iters left: 5 (9 enodes) 1545821350.477 * * [misc]simplify: iters left: 4 (15 enodes) 1545821350.481 * * [misc]simplify: iters left: 3 (21 enodes) 1545821350.487 * * [misc]simplify: iters left: 2 (22 enodes) 1545821350.492 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821350.492 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545821350.492 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545821350.492 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545821350.492 * * [misc]simplify: iters left: 5 (7 enodes) 1545821350.495 * * [misc]simplify: iters left: 4 (9 enodes) 1545821350.497 * * [misc]simplify: iters left: 3 (12 enodes) 1545821350.498 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821350.498 * [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))) 1545821350.498 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545821350.498 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545821350.498 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545821350.498 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545821350.499 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545821350.499 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545821350.499 * * [misc]simplify: iters left: 6 (14 enodes) 1545821350.502 * * [misc]simplify: iters left: 5 (27 enodes) 1545821350.507 * * [misc]simplify: iters left: 4 (55 enodes) 1545821350.517 * * [misc]simplify: iters left: 3 (144 enodes) 1545821350.585 * * [misc]simplify: iters left: 2 (492 enodes) 1545821351.153 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545821351.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545821351.153 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545821351.154 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545821351.154 * * [misc]simplify: iters left: 6 (14 enodes) 1545821351.157 * * [misc]simplify: iters left: 5 (27 enodes) 1545821351.161 * * [misc]simplify: iters left: 4 (55 enodes) 1545821351.172 * * [misc]simplify: iters left: 3 (144 enodes) 1545821351.236 * * [misc]simplify: iters left: 2 (492 enodes) 1545821351.738 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545821351.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545821351.738 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545821351.738 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545821351.739 * * [misc]simplify: iters left: 6 (14 enodes) 1545821351.743 * * [misc]simplify: iters left: 5 (24 enodes) 1545821351.751 * * [misc]simplify: iters left: 4 (43 enodes) 1545821351.765 * * [misc]simplify: iters left: 3 (73 enodes) 1545821351.800 * * [misc]simplify: iters left: 2 (220 enodes) 1545821352.020 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545821352.020 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545821352.020 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545821352.020 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545821352.020 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545821352.020 * [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))) 1545821352.021 * * [misc]simplify: iters left: 6 (16 enodes) 1545821352.026 * * [misc]simplify: iters left: 5 (31 enodes) 1545821352.040 * * [misc]simplify: iters left: 4 (62 enodes) 1545821352.058 * * [misc]simplify: iters left: 3 (99 enodes) 1545821352.083 * * [misc]simplify: iters left: 2 (130 enodes) 1545821352.100 * * [misc]simplify: iters left: 1 (140 enodes) 1545821352.120 * [exit]simplify: Simplified to (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545821352.120 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1545821352.120 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545821352.120 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545821352.120 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545821352.120 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545821352.120 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545821352.121 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.121 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.125 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.130 * * [misc]simplify: iters left: 4 (25 enodes) 1545821352.138 * * [misc]simplify: iters left: 3 (26 enodes) 1545821352.145 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.145 * [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))))) 1545821352.145 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545821352.145 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.149 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.154 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.161 * * [misc]simplify: iters left: 3 (25 enodes) 1545821352.167 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545821352.168 * [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))))) 1545821352.168 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545821352.168 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545821352.168 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.172 * * [misc]simplify: iters left: 5 (16 enodes) 1545821352.176 * * [misc]simplify: iters left: 4 (22 enodes) 1545821352.183 * * [misc]simplify: iters left: 3 (24 enodes) 1545821352.189 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545821352.189 * [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))))) 1545821352.189 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545821352.189 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.193 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.198 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.204 * * [misc]simplify: iters left: 3 (25 enodes) 1545821352.210 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545821352.211 * [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))))) 1545821352.211 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545821352.211 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545821352.211 * * [misc]simplify: iters left: 6 (9 enodes) 1545821352.214 * * [misc]simplify: iters left: 5 (16 enodes) 1545821352.219 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.225 * * [misc]simplify: iters left: 3 (26 enodes) 1545821352.230 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545821352.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545821352.231 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545821352.231 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.234 * * [misc]simplify: iters left: 5 (17 enodes) 1545821352.239 * * [misc]simplify: iters left: 4 (23 enodes) 1545821352.245 * * [misc]simplify: iters left: 3 (24 enodes) 1545821352.251 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545821352.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545821352.251 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545821352.251 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.251 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.255 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.260 * * [misc]simplify: iters left: 4 (25 enodes) 1545821352.266 * * [misc]simplify: iters left: 3 (26 enodes) 1545821352.273 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.273 * [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))))) 1545821352.273 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545821352.273 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.277 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.283 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.290 * * [misc]simplify: iters left: 3 (25 enodes) 1545821352.296 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545821352.296 * [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))))) 1545821352.296 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545821352.296 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545821352.296 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.300 * * [misc]simplify: iters left: 5 (16 enodes) 1545821352.304 * * [misc]simplify: iters left: 4 (22 enodes) 1545821352.310 * * [misc]simplify: iters left: 3 (24 enodes) 1545821352.316 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545821352.316 * [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))))) 1545821352.316 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545821352.316 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.320 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.325 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.331 * * [misc]simplify: iters left: 3 (25 enodes) 1545821352.337 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545821352.337 * [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))))) 1545821352.337 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545821352.337 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545821352.337 * * [misc]simplify: iters left: 6 (9 enodes) 1545821352.340 * * [misc]simplify: iters left: 5 (16 enodes) 1545821352.345 * * [misc]simplify: iters left: 4 (24 enodes) 1545821352.350 * * [misc]simplify: iters left: 3 (26 enodes) 1545821352.356 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545821352.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545821352.356 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545821352.356 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.360 * * [misc]simplify: iters left: 5 (17 enodes) 1545821352.364 * * [misc]simplify: iters left: 4 (23 enodes) 1545821352.371 * * [misc]simplify: iters left: 3 (24 enodes) 1545821352.377 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545821352.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545821352.377 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545821352.377 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.377 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.381 * * [misc]simplify: iters left: 5 (15 enodes) 1545821352.385 * * [misc]simplify: iters left: 4 (18 enodes) 1545821352.390 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.391 * [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))))) 1545821352.391 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545821352.391 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.394 * * [misc]simplify: iters left: 5 (14 enodes) 1545821352.399 * * [misc]simplify: iters left: 4 (17 enodes) 1545821352.404 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545821352.404 * [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))))) 1545821352.404 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545821352.404 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.404 * * [misc]simplify: iters left: 6 (10 enodes) 1545821352.407 * * [misc]simplify: iters left: 5 (12 enodes) 1545821352.411 * * [misc]simplify: iters left: 4 (15 enodes) 1545821352.415 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.415 * [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))))) 1545821352.416 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.416 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.419 * * [misc]simplify: iters left: 5 (14 enodes) 1545821352.423 * * [misc]simplify: iters left: 4 (17 enodes) 1545821352.430 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.430 * [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))))) 1545821352.430 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545821352.430 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545821352.430 * * [misc]simplify: iters left: 6 (9 enodes) 1545821352.433 * * [misc]simplify: iters left: 5 (13 enodes) 1545821352.437 * * [misc]simplify: iters left: 4 (18 enodes) 1545821352.441 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821352.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545821352.442 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545821352.442 * * [misc]simplify: iters left: 6 (10 enodes) 1545821352.445 * * [misc]simplify: iters left: 5 (13 enodes) 1545821352.448 * * [misc]simplify: iters left: 4 (16 enodes) 1545821352.453 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545821352.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545821352.453 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545821352.453 * [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)))) 1545821352.454 * * [misc]simplify: iters left: 6 (16 enodes) 1545821352.459 * * [misc]simplify: iters left: 5 (28 enodes) 1545821352.468 * * [misc]simplify: iters left: 4 (46 enodes) 1545821352.480 * * [misc]simplify: iters left: 3 (50 enodes) 1545821352.492 * * [misc]simplify: iters left: 2 (53 enodes) 1545821352.505 * [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)))) 1545821352.505 * [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))))) 1545821352.506 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545821352.506 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.510 * * [misc]simplify: iters left: 5 (20 enodes) 1545821352.516 * * [misc]simplify: iters left: 4 (29 enodes) 1545821352.522 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.525 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545821352.525 * [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))))) 1545821352.525 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545821352.525 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545821352.526 * * [misc]simplify: iters left: 6 (15 enodes) 1545821352.528 * * [misc]simplify: iters left: 5 (23 enodes) 1545821352.531 * * [misc]simplify: iters left: 4 (34 enodes) 1545821352.536 * * [misc]simplify: iters left: 3 (37 enodes) 1545821352.540 * [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)))))) 1545821352.540 * [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))))) 1545821352.541 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.541 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.543 * * [misc]simplify: iters left: 5 (20 enodes) 1545821352.545 * * [misc]simplify: iters left: 4 (29 enodes) 1545821352.552 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.560 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.560 * [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))))) 1545821352.560 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545821352.561 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545821352.561 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.566 * * [misc]simplify: iters left: 5 (24 enodes) 1545821352.573 * * [misc]simplify: iters left: 4 (39 enodes) 1545821352.581 * * [misc]simplify: iters left: 3 (40 enodes) 1545821352.585 * * [misc]simplify: iters left: 2 (41 enodes) 1545821352.590 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545821352.590 * [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)))) 1545821352.590 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545821352.590 * * [misc]simplify: iters left: 6 (13 enodes) 1545821352.592 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.594 * * [misc]simplify: iters left: 4 (28 enodes) 1545821352.598 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.602 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545821352.602 * [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)))) 1545821352.602 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545821352.602 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.602 * * [misc]simplify: iters left: 6 (15 enodes) 1545821352.604 * * [misc]simplify: iters left: 5 (23 enodes) 1545821352.608 * * [misc]simplify: iters left: 4 (32 enodes) 1545821352.617 * * [misc]simplify: iters left: 3 (34 enodes) 1545821352.626 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.626 * [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))))) 1545821352.627 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545821352.627 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.631 * * [misc]simplify: iters left: 5 (20 enodes) 1545821352.637 * * [misc]simplify: iters left: 4 (29 enodes) 1545821352.642 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545821352.647 * [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))))) 1545821352.647 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545821352.647 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.647 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.649 * * [misc]simplify: iters left: 5 (20 enodes) 1545821352.652 * * [misc]simplify: iters left: 4 (29 enodes) 1545821352.657 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.660 * [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))))) 1545821352.661 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.661 * * [misc]simplify: iters left: 6 (14 enodes) 1545821352.663 * * [misc]simplify: iters left: 5 (20 enodes) 1545821352.665 * * [misc]simplify: iters left: 4 (29 enodes) 1545821352.671 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.679 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545821352.679 * [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))))) 1545821352.679 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545821352.679 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545821352.679 * * [misc]simplify: iters left: 6 (13 enodes) 1545821352.683 * * [misc]simplify: iters left: 5 (21 enodes) 1545821352.690 * * [misc]simplify: iters left: 4 (32 enodes) 1545821352.698 * * [misc]simplify: iters left: 3 (33 enodes) 1545821352.705 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545821352.705 * [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)))) 1545821352.706 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545821352.706 * * [misc]simplify: iters left: 6 (13 enodes) 1545821352.710 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.715 * * [misc]simplify: iters left: 4 (28 enodes) 1545821352.723 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.730 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545821352.731 * [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)))) 1545821352.731 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545821352.731 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545821352.731 * * [misc]simplify: iters left: 6 (6 enodes) 1545821352.733 * * [misc]simplify: iters left: 5 (10 enodes) 1545821352.735 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545821352.735 * [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))))) 1545821352.736 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545821352.736 * * [misc]simplify: iters left: 6 (13 enodes) 1545821352.740 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.745 * * [misc]simplify: iters left: 4 (28 enodes) 1545821352.752 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.760 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545821352.760 * [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))))) 1545821352.760 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545821352.761 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545821352.761 * * [misc]simplify: iters left: 4 (5 enodes) 1545821352.762 * * [misc]simplify: iters left: 3 (7 enodes) 1545821352.764 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545821352.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545821352.764 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.764 * * [misc]simplify: iters left: 6 (13 enodes) 1545821352.768 * * [misc]simplify: iters left: 5 (19 enodes) 1545821352.774 * * [misc]simplify: iters left: 4 (28 enodes) 1545821352.782 * * [misc]simplify: iters left: 3 (30 enodes) 1545821352.791 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545821352.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545821352.791 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545821352.791 * [enter]simplify: Simplifying (/ 1 1) 1545821352.791 * * [misc]simplify: iters left: 2 (2 enodes) 1545821352.792 * * [misc]simplify: iters left: 1 (4 enodes) 1545821352.793 * [exit]simplify: Simplified to 1 1545821352.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545821352.793 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545821352.793 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.797 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.802 * * [misc]simplify: iters left: 4 (27 enodes) 1545821352.810 * * [misc]simplify: iters left: 3 (29 enodes) 1545821352.817 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545821352.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545821352.817 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545821352.817 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545821352.817 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545821352.818 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545821352.818 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545821352.818 * * [misc]simplify: iters left: 2 (3 enodes) 1545821352.819 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545821352.819 * [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)))) 1545821352.819 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545821352.819 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545821352.819 * * [misc]simplify: iters left: 2 (3 enodes) 1545821352.820 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821352.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545821352.820 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545821352.820 * [enter]simplify: Simplifying (sqrt k) 1545821352.820 * * [misc]simplify: iters left: 1 (2 enodes) 1545821352.821 * [exit]simplify: Simplified to (sqrt k) 1545821352.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545821352.821 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545821352.821 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545821352.822 * * [misc]simplify: iters left: 5 (7 enodes) 1545821352.824 * * [misc]simplify: iters left: 4 (12 enodes) 1545821352.828 * * [misc]simplify: iters left: 3 (18 enodes) 1545821352.833 * * [misc]simplify: iters left: 2 (20 enodes) 1545821352.837 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545821352.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545821352.838 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545821352.838 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545821352.838 * * [misc]simplify: iters left: 5 (7 enodes) 1545821352.840 * * [misc]simplify: iters left: 4 (12 enodes) 1545821352.844 * * [misc]simplify: iters left: 3 (18 enodes) 1545821352.849 * * [misc]simplify: iters left: 2 (20 enodes) 1545821352.854 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545821352.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545821352.855 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545821352.856 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545821352.856 * * [misc]simplify: iters left: 5 (7 enodes) 1545821352.858 * * [misc]simplify: iters left: 4 (9 enodes) 1545821352.861 * * [misc]simplify: iters left: 3 (12 enodes) 1545821352.864 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821352.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821352.864 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545821352.865 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821352.865 * * [misc]simplify: iters left: 6 (12 enodes) 1545821352.869 * * [misc]simplify: iters left: 5 (18 enodes) 1545821352.874 * * [misc]simplify: iters left: 4 (27 enodes) 1545821352.882 * * [misc]simplify: iters left: 3 (29 enodes) 1545821352.890 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545821352.890 * [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))))))) 1545821352.890 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545821352.890 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821352.891 * * [misc]simplify: iters left: 6 (11 enodes) 1545821352.894 * * [misc]simplify: iters left: 5 (17 enodes) 1545821352.899 * * [misc]simplify: iters left: 4 (26 enodes) 1545821352.906 * * [misc]simplify: iters left: 3 (27 enodes) 1545821352.913 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545821352.913 * [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))))))) 1545821352.913 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545821352.913 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545821352.913 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545821352.913 * * [misc]simplify: iters left: 5 (7 enodes) 1545821352.916 * * [misc]simplify: iters left: 4 (12 enodes) 1545821352.919 * * [misc]simplify: iters left: 3 (18 enodes) 1545821352.924 * * [misc]simplify: iters left: 2 (20 enodes) 1545821352.929 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545821352.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545821352.929 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545821352.929 * [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))))) 1545821352.930 * * [misc]simplify: iters left: 6 (37 enodes) 1545821352.947 * * [misc]simplify: iters left: 5 (108 enodes) 1545821352.995 * * [misc]simplify: iters left: 4 (368 enodes) 1545821353.313 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (log (* PI 2)) (log (* PI 2))) (* (* k (* k 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2))) (fma (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1545821353.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (log (* PI 2)) (log (* PI 2))) (* (* k (* k 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2))) (fma (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1545821353.314 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545821353.314 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545821353.314 * * [misc]simplify: iters left: 6 (15 enodes) 1545821353.320 * * [misc]simplify: iters left: 5 (33 enodes) 1545821353.331 * * [misc]simplify: iters left: 4 (64 enodes) 1545821353.761 * * [misc]simplify: iters left: 3 (179 enodes) 1545821353.898 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545821353.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1545821353.898 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545821353.898 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545821353.898 * * [misc]simplify: iters left: 6 (15 enodes) 1545821353.904 * * [misc]simplify: iters left: 5 (30 enodes) 1545821353.912 * * [misc]simplify: iters left: 4 (65 enodes) 1545821353.926 * * [misc]simplify: iters left: 3 (208 enodes) 1545821354.058 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545821354.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545821354.058 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545821354.058 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821354.059 * * [misc]simplify: iters left: 4 (5 enodes) 1545821354.060 * * [misc]simplify: iters left: 3 (9 enodes) 1545821354.063 * * [misc]simplify: iters left: 2 (15 enodes) 1545821354.066 * * [misc]simplify: iters left: 1 (17 enodes) 1545821354.073 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821354.073 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545821354.073 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545821354.073 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821354.074 * * [misc]simplify: iters left: 4 (5 enodes) 1545821354.075 * * [misc]simplify: iters left: 3 (9 enodes) 1545821354.078 * * [misc]simplify: iters left: 2 (15 enodes) 1545821354.080 * * [misc]simplify: iters left: 1 (17 enodes) 1545821354.082 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821354.082 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545821354.082 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545821354.082 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821354.082 * * [misc]simplify: iters left: 4 (5 enodes) 1545821354.083 * * [misc]simplify: iters left: 3 (9 enodes) 1545821354.085 * * [misc]simplify: iters left: 2 (15 enodes) 1545821354.086 * * [misc]simplify: iters left: 1 (17 enodes) 1545821354.088 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821354.088 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545821354.089 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545821354.089 * [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)))))))))))))))))))))) 1545821354.089 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821354.089 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545821354.089 * [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)))))))) 1545821354.089 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821354.089 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545821354.089 * [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))))))))))) 1545821354.089 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821354.089 * * * [misc]progress: adding candidates to table 1545821355.205 * * [misc]progress: iteration 2 / 4 1545821355.205 * * * [misc]progress: picking best candidate 1545821355.285 * * * * [misc]pick: Picked # 1545821355.285 * * * [misc]progress: localizing error 1545821355.297 * * * [misc]progress: generating rewritten candidates 1545821355.297 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545821355.303 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1545821355.305 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545821355.314 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545821355.321 * * * [misc]progress: generating series expansions 1545821355.321 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545821355.321 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545821355.321 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545821355.321 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.322 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.322 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.322 * [misc]taylor: Taking taylor expansion of k in k 1545821355.322 * [misc]backup-simplify: Simplify 0 into 0 1545821355.322 * [misc]backup-simplify: Simplify 1 into 1 1545821355.322 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.322 * [misc]backup-simplify: Simplify 2 into 2 1545821355.322 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821355.322 * [misc]taylor: Taking taylor expansion of n in k 1545821355.322 * [misc]backup-simplify: Simplify n into n 1545821355.322 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.322 * [misc]backup-simplify: Simplify PI into PI 1545821355.322 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821355.322 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821355.322 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821355.323 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.323 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.323 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.323 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821355.323 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821355.323 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821355.323 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821355.323 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821355.323 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821355.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.324 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821355.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.324 * [misc]taylor: Taking taylor expansion of k in n 1545821355.324 * [misc]backup-simplify: Simplify k into k 1545821355.324 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.324 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.324 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.324 * [misc]backup-simplify: Simplify 2 into 2 1545821355.324 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.324 * [misc]taylor: Taking taylor expansion of n in n 1545821355.324 * [misc]backup-simplify: Simplify 0 into 0 1545821355.324 * [misc]backup-simplify: Simplify 1 into 1 1545821355.324 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.324 * [misc]backup-simplify: Simplify PI into PI 1545821355.324 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.325 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.326 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.326 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.326 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821355.327 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821355.327 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821355.327 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.328 * [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)))) 1545821355.329 * [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))))) 1545821355.329 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.329 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.329 * [misc]taylor: Taking taylor expansion of k in n 1545821355.329 * [misc]backup-simplify: Simplify k into k 1545821355.329 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.329 * [misc]backup-simplify: Simplify 2 into 2 1545821355.329 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.329 * [misc]taylor: Taking taylor expansion of n in n 1545821355.329 * [misc]backup-simplify: Simplify 0 into 0 1545821355.329 * [misc]backup-simplify: Simplify 1 into 1 1545821355.329 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.329 * [misc]backup-simplify: Simplify PI into PI 1545821355.330 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.330 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.331 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.331 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.332 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.332 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821355.332 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821355.332 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821355.333 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.333 * [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)))) 1545821355.334 * [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))))) 1545821355.334 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.334 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.334 * [misc]taylor: Taking taylor expansion of k in k 1545821355.334 * [misc]backup-simplify: Simplify 0 into 0 1545821355.334 * [misc]backup-simplify: Simplify 1 into 1 1545821355.334 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821355.334 * [misc]taylor: Taking taylor expansion of n in k 1545821355.334 * [misc]backup-simplify: Simplify n into n 1545821355.334 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821355.335 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821355.335 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821355.335 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.335 * [misc]backup-simplify: Simplify 2 into 2 1545821355.335 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.335 * [misc]backup-simplify: Simplify PI into PI 1545821355.335 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.335 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.336 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.336 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.336 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.336 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.337 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545821355.338 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545821355.338 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545821355.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.340 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821355.341 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.342 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545821355.342 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.342 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.342 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.343 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545821355.343 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.344 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.344 * [misc]backup-simplify: Simplify 0 into 0 1545821355.344 * [misc]backup-simplify: Simplify 0 into 0 1545821355.344 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545821355.344 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821355.346 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.347 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821355.347 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.347 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.347 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545821355.348 * [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))))))) 1545821355.349 * [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))))))) 1545821355.350 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.351 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545821355.354 * [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 1545821355.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545821355.354 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.355 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.355 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821355.357 * [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 1545821355.357 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.357 * [misc]backup-simplify: Simplify 0 into 0 1545821355.357 * [misc]backup-simplify: Simplify 0 into 0 1545821355.357 * [misc]backup-simplify: Simplify 0 into 0 1545821355.358 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545821355.358 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.361 * [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 1545821355.361 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821355.362 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.362 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.362 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545821355.364 * [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))))) 1545821355.365 * [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))))) 1545821355.368 * [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))))) 1545821355.368 * [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)))) 1545821355.368 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545821355.368 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.368 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.368 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.368 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.368 * [misc]taylor: Taking taylor expansion of k in k 1545821355.368 * [misc]backup-simplify: Simplify 0 into 0 1545821355.368 * [misc]backup-simplify: Simplify 1 into 1 1545821355.369 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.369 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821355.369 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821355.369 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.369 * [misc]backup-simplify: Simplify 2 into 2 1545821355.369 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.369 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.369 * [misc]backup-simplify: Simplify PI into PI 1545821355.369 * [misc]taylor: Taking taylor expansion of n in k 1545821355.369 * [misc]backup-simplify: Simplify n into n 1545821355.369 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.369 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821355.369 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821355.369 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.369 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.369 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.369 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821355.369 * [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)))) 1545821355.369 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.369 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.369 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.369 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.369 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.369 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.370 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.370 * [misc]taylor: Taking taylor expansion of k in n 1545821355.370 * [misc]backup-simplify: Simplify k into k 1545821355.370 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.370 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.370 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.370 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.370 * [misc]backup-simplify: Simplify 2 into 2 1545821355.370 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.370 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.370 * [misc]backup-simplify: Simplify PI into PI 1545821355.370 * [misc]taylor: Taking taylor expansion of n in n 1545821355.370 * [misc]backup-simplify: Simplify 0 into 0 1545821355.370 * [misc]backup-simplify: Simplify 1 into 1 1545821355.370 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.370 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.370 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.371 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.371 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.371 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.371 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.372 * [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))) 1545821355.372 * [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)))) 1545821355.372 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.372 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.372 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of k in n 1545821355.372 * [misc]backup-simplify: Simplify k into k 1545821355.372 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.372 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.372 * [misc]backup-simplify: Simplify 2 into 2 1545821355.372 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.372 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.372 * [misc]backup-simplify: Simplify PI into PI 1545821355.372 * [misc]taylor: Taking taylor expansion of n in n 1545821355.372 * [misc]backup-simplify: Simplify 0 into 0 1545821355.372 * [misc]backup-simplify: Simplify 1 into 1 1545821355.373 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.373 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.373 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.373 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.373 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.373 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.374 * [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))) 1545821355.374 * [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)))) 1545821355.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of k in k 1545821355.375 * [misc]backup-simplify: Simplify 0 into 0 1545821355.375 * [misc]backup-simplify: Simplify 1 into 1 1545821355.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.375 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.375 * [misc]backup-simplify: Simplify 2 into 2 1545821355.375 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.375 * [misc]backup-simplify: Simplify PI into PI 1545821355.375 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.375 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821355.375 * [misc]taylor: Taking taylor expansion of n in k 1545821355.375 * [misc]backup-simplify: Simplify n into n 1545821355.375 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821355.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.376 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.376 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.376 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821355.376 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545821355.377 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545821355.377 * [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)))) 1545821355.377 * [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)))) 1545821355.378 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821355.380 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.380 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.380 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.380 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.381 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.381 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545821355.382 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.382 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.382 * [misc]backup-simplify: Simplify 0 into 0 1545821355.382 * [misc]backup-simplify: Simplify 0 into 0 1545821355.382 * [misc]backup-simplify: Simplify 0 into 0 1545821355.383 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.384 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.387 * [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 1545821355.387 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821355.387 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821355.387 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.387 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.388 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545821355.389 * [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 1545821355.389 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.390 * [misc]backup-simplify: Simplify 0 into 0 1545821355.390 * [misc]backup-simplify: Simplify 0 into 0 1545821355.390 * [misc]backup-simplify: Simplify 0 into 0 1545821355.390 * [misc]backup-simplify: Simplify 0 into 0 1545821355.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.391 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.396 * [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 1545821355.396 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821355.396 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821355.397 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.397 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.398 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545821355.400 * [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 1545821355.400 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.400 * [misc]backup-simplify: Simplify 0 into 0 1545821355.400 * [misc]backup-simplify: Simplify 0 into 0 1545821355.400 * [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))))) 1545821355.400 * [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)) 1545821355.400 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545821355.401 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.401 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of k in k 1545821355.401 * [misc]backup-simplify: Simplify 0 into 0 1545821355.401 * [misc]backup-simplify: Simplify 1 into 1 1545821355.401 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.401 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.401 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.401 * [misc]backup-simplify: Simplify -2 into -2 1545821355.401 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.401 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.401 * [misc]backup-simplify: Simplify PI into PI 1545821355.401 * [misc]taylor: Taking taylor expansion of n in k 1545821355.401 * [misc]backup-simplify: Simplify n into n 1545821355.401 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.401 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821355.401 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821355.401 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.401 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.401 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821355.401 * [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))) 1545821355.402 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of k in n 1545821355.402 * [misc]backup-simplify: Simplify k into k 1545821355.402 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.402 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.402 * [misc]backup-simplify: Simplify -2 into -2 1545821355.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.402 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.402 * [misc]backup-simplify: Simplify PI into PI 1545821355.402 * [misc]taylor: Taking taylor expansion of n in n 1545821355.402 * [misc]backup-simplify: Simplify 0 into 0 1545821355.402 * [misc]backup-simplify: Simplify 1 into 1 1545821355.402 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.402 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.403 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.403 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.403 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.403 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.404 * [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))) 1545821355.404 * [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)))) 1545821355.404 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of k in n 1545821355.404 * [misc]backup-simplify: Simplify k into k 1545821355.404 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.404 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.404 * [misc]backup-simplify: Simplify -2 into -2 1545821355.404 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.404 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.404 * [misc]backup-simplify: Simplify PI into PI 1545821355.404 * [misc]taylor: Taking taylor expansion of n in n 1545821355.404 * [misc]backup-simplify: Simplify 0 into 0 1545821355.404 * [misc]backup-simplify: Simplify 1 into 1 1545821355.404 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.405 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.405 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.405 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.405 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.405 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.406 * [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))) 1545821355.406 * [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)))) 1545821355.406 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545821355.406 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545821355.406 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.406 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.406 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.407 * [misc]taylor: Taking taylor expansion of k in k 1545821355.407 * [misc]backup-simplify: Simplify 0 into 0 1545821355.407 * [misc]backup-simplify: Simplify 1 into 1 1545821355.407 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.407 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.407 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545821355.407 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545821355.407 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545821355.407 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.407 * [misc]backup-simplify: Simplify -2 into -2 1545821355.407 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.407 * [misc]backup-simplify: Simplify PI into PI 1545821355.407 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.407 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.407 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821355.407 * [misc]taylor: Taking taylor expansion of n in k 1545821355.407 * [misc]backup-simplify: Simplify n into n 1545821355.407 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821355.407 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.408 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.408 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821355.408 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545821355.408 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545821355.409 * [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)))) 1545821355.409 * [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)))) 1545821355.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.410 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821355.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545821355.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.412 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.413 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545821355.414 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.414 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.414 * [misc]backup-simplify: Simplify 0 into 0 1545821355.414 * [misc]backup-simplify: Simplify 0 into 0 1545821355.414 * [misc]backup-simplify: Simplify 0 into 0 1545821355.415 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.415 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.420 * [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 1545821355.420 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821355.420 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821355.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.421 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545821355.423 * [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 1545821355.423 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.423 * [misc]backup-simplify: Simplify 0 into 0 1545821355.423 * [misc]backup-simplify: Simplify 0 into 0 1545821355.423 * [misc]backup-simplify: Simplify 0 into 0 1545821355.423 * [misc]backup-simplify: Simplify 0 into 0 1545821355.424 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.425 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.430 * [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 1545821355.430 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821355.430 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821355.430 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.431 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.431 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545821355.433 * [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 1545821355.434 * [misc]taylor: Taking taylor expansion of 0 in k 1545821355.434 * [misc]backup-simplify: Simplify 0 into 0 1545821355.434 * [misc]backup-simplify: Simplify 0 into 0 1545821355.434 * [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))))) 1545821355.434 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1545821355.434 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545821355.434 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545821355.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.434 * [misc]backup-simplify: Simplify 2 into 2 1545821355.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.434 * [misc]taylor: Taking taylor expansion of n in n 1545821355.434 * [misc]backup-simplify: Simplify 0 into 0 1545821355.434 * [misc]backup-simplify: Simplify 1 into 1 1545821355.434 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.434 * [misc]backup-simplify: Simplify PI into PI 1545821355.434 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.434 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.434 * [misc]backup-simplify: Simplify 2 into 2 1545821355.434 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.434 * [misc]taylor: Taking taylor expansion of n in n 1545821355.435 * [misc]backup-simplify: Simplify 0 into 0 1545821355.435 * [misc]backup-simplify: Simplify 1 into 1 1545821355.435 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.435 * [misc]backup-simplify: Simplify PI into PI 1545821355.435 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.435 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.435 * [misc]backup-simplify: Simplify 0 into 0 1545821355.435 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.436 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.436 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.437 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821355.437 * [misc]backup-simplify: Simplify 0 into 0 1545821355.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545821355.439 * [misc]backup-simplify: Simplify 0 into 0 1545821355.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821355.441 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545821355.441 * [misc]backup-simplify: Simplify 0 into 0 1545821355.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821355.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545821355.445 * [misc]backup-simplify: Simplify 0 into 0 1545821355.446 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821355.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545821355.448 * [misc]backup-simplify: Simplify 0 into 0 1545821355.451 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545821355.453 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545821355.453 * [misc]backup-simplify: Simplify 0 into 0 1545821355.453 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545821355.453 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545821355.453 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545821355.453 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.453 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.453 * [misc]backup-simplify: Simplify 2 into 2 1545821355.453 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.453 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.453 * [misc]backup-simplify: Simplify PI into PI 1545821355.454 * [misc]taylor: Taking taylor expansion of n in n 1545821355.454 * [misc]backup-simplify: Simplify 0 into 0 1545821355.454 * [misc]backup-simplify: Simplify 1 into 1 1545821355.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.454 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.454 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.454 * [misc]backup-simplify: Simplify 2 into 2 1545821355.454 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.454 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.454 * [misc]backup-simplify: Simplify PI into PI 1545821355.454 * [misc]taylor: Taking taylor expansion of n in n 1545821355.454 * [misc]backup-simplify: Simplify 0 into 0 1545821355.454 * [misc]backup-simplify: Simplify 1 into 1 1545821355.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.455 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.455 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.456 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.456 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821355.456 * [misc]backup-simplify: Simplify 0 into 0 1545821355.457 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.458 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.458 * [misc]backup-simplify: Simplify 0 into 0 1545821355.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.460 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.460 * [misc]backup-simplify: Simplify 0 into 0 1545821355.461 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.462 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821355.462 * [misc]backup-simplify: Simplify 0 into 0 1545821355.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.466 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821355.466 * [misc]backup-simplify: Simplify 0 into 0 1545821355.469 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821355.472 * [misc]backup-simplify: Simplify 0 into 0 1545821355.473 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545821355.473 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545821355.473 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545821355.473 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.473 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.473 * [misc]backup-simplify: Simplify -2 into -2 1545821355.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.473 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.473 * [misc]backup-simplify: Simplify PI into PI 1545821355.473 * [misc]taylor: Taking taylor expansion of n in n 1545821355.473 * [misc]backup-simplify: Simplify 0 into 0 1545821355.473 * [misc]backup-simplify: Simplify 1 into 1 1545821355.473 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.473 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.473 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.473 * [misc]backup-simplify: Simplify -2 into -2 1545821355.473 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.473 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.473 * [misc]backup-simplify: Simplify PI into PI 1545821355.473 * [misc]taylor: Taking taylor expansion of n in n 1545821355.473 * [misc]backup-simplify: Simplify 0 into 0 1545821355.474 * [misc]backup-simplify: Simplify 1 into 1 1545821355.474 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.474 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.474 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.475 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.476 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821355.476 * [misc]backup-simplify: Simplify 0 into 0 1545821355.478 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.479 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.479 * [misc]backup-simplify: Simplify 0 into 0 1545821355.480 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.482 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.482 * [misc]backup-simplify: Simplify 0 into 0 1545821355.484 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.485 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545821355.485 * [misc]backup-simplify: Simplify 0 into 0 1545821355.486 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.488 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545821355.488 * [misc]backup-simplify: Simplify 0 into 0 1545821355.489 * [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 1545821355.491 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545821355.491 * [misc]backup-simplify: Simplify 0 into 0 1545821355.491 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545821355.491 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545821355.491 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545821355.491 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545821355.491 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545821355.491 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.492 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.492 * [misc]taylor: Taking taylor expansion of k in n 1545821355.492 * [misc]backup-simplify: Simplify k into k 1545821355.492 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.492 * [misc]backup-simplify: Simplify 2 into 2 1545821355.492 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.492 * [misc]taylor: Taking taylor expansion of n in n 1545821355.492 * [misc]backup-simplify: Simplify 0 into 0 1545821355.492 * [misc]backup-simplify: Simplify 1 into 1 1545821355.492 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.492 * [misc]backup-simplify: Simplify PI into PI 1545821355.492 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.492 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.493 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.493 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.493 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.493 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821355.493 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821355.493 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821355.494 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.494 * [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)))) 1545821355.495 * [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))))) 1545821355.495 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1545821355.495 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821355.495 * [misc]taylor: Taking taylor expansion of k in n 1545821355.495 * [misc]backup-simplify: Simplify k into k 1545821355.495 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821355.495 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821355.495 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.495 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.495 * [misc]taylor: Taking taylor expansion of k in k 1545821355.495 * [misc]backup-simplify: Simplify 0 into 0 1545821355.495 * [misc]backup-simplify: Simplify 1 into 1 1545821355.495 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.495 * [misc]backup-simplify: Simplify 2 into 2 1545821355.495 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821355.495 * [misc]taylor: Taking taylor expansion of n in k 1545821355.496 * [misc]backup-simplify: Simplify n into n 1545821355.496 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.496 * [misc]backup-simplify: Simplify PI into PI 1545821355.496 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821355.496 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821355.496 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821355.496 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.496 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.496 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.496 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821355.496 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821355.496 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545821355.496 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821355.496 * [misc]taylor: Taking taylor expansion of k in k 1545821355.496 * [misc]backup-simplify: Simplify 0 into 0 1545821355.496 * [misc]backup-simplify: Simplify 1 into 1 1545821355.496 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.497 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.497 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.497 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.497 * [misc]taylor: Taking taylor expansion of k in k 1545821355.497 * [misc]backup-simplify: Simplify 0 into 0 1545821355.497 * [misc]backup-simplify: Simplify 1 into 1 1545821355.497 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.497 * [misc]backup-simplify: Simplify 2 into 2 1545821355.497 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821355.497 * [misc]taylor: Taking taylor expansion of n in k 1545821355.497 * [misc]backup-simplify: Simplify n into n 1545821355.497 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.497 * [misc]backup-simplify: Simplify PI into PI 1545821355.497 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821355.497 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821355.497 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821355.497 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.497 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.498 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821355.498 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821355.498 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545821355.498 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821355.498 * [misc]taylor: Taking taylor expansion of k in k 1545821355.498 * [misc]backup-simplify: Simplify 0 into 0 1545821355.498 * [misc]backup-simplify: Simplify 1 into 1 1545821355.498 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.498 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.498 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1545821355.498 * [misc]taylor: Taking taylor expansion of 0 in n 1545821355.498 * [misc]backup-simplify: Simplify 0 into 0 1545821355.498 * [misc]backup-simplify: Simplify 0 into 0 1545821355.499 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545821355.499 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545821355.499 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545821355.499 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821355.500 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.500 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545821355.500 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545821355.500 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1545821355.501 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1545821355.501 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545821355.501 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545821355.501 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.501 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.502 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545821355.502 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545821355.502 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545821355.502 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.502 * [misc]taylor: Taking taylor expansion of n in n 1545821355.502 * [misc]backup-simplify: Simplify 0 into 0 1545821355.502 * [misc]backup-simplify: Simplify 1 into 1 1545821355.502 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.502 * [misc]backup-simplify: Simplify PI into PI 1545821355.502 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.502 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.502 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545821355.503 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.503 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545821355.503 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821355.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.503 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821355.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821355.504 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.504 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821355.505 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.506 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.507 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.507 * [misc]backup-simplify: Simplify 0 into 0 1545821355.508 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.508 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545821355.509 * [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 1545821355.509 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821355.509 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545821355.510 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545821355.512 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1545821355.514 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1545821355.514 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.514 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.514 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.514 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.514 * [misc]backup-simplify: Simplify 2 into 2 1545821355.514 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.515 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.515 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1545821355.515 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.515 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.515 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.515 * [misc]backup-simplify: Simplify 2 into 2 1545821355.515 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.515 * [misc]taylor: Taking taylor expansion of n in n 1545821355.515 * [misc]backup-simplify: Simplify 0 into 0 1545821355.515 * [misc]backup-simplify: Simplify 1 into 1 1545821355.515 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.515 * [misc]backup-simplify: Simplify PI into PI 1545821355.515 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.515 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.516 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.516 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.516 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545821355.516 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821355.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.516 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821355.517 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821355.517 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545821355.517 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545821355.517 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.517 * [misc]taylor: Taking taylor expansion of n in n 1545821355.517 * [misc]backup-simplify: Simplify 0 into 0 1545821355.517 * [misc]backup-simplify: Simplify 1 into 1 1545821355.517 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.517 * [misc]backup-simplify: Simplify PI into PI 1545821355.517 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.517 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.517 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545821355.517 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.518 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545821355.518 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.518 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.518 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.518 * [misc]taylor: Taking taylor expansion of n in n 1545821355.518 * [misc]backup-simplify: Simplify 0 into 0 1545821355.518 * [misc]backup-simplify: Simplify 1 into 1 1545821355.518 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.518 * [misc]backup-simplify: Simplify PI into PI 1545821355.518 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.519 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545821355.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.519 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545821355.520 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821355.520 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.520 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821355.520 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821355.521 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.521 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545821355.522 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1545821355.522 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1545821355.523 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.523 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545821355.524 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.524 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821355.526 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.526 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545821355.527 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1545821355.529 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545821355.529 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1545821355.532 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545821355.533 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.533 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821355.534 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.535 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545821355.538 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545821355.542 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545821355.545 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545821355.546 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545821355.547 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.548 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545821355.549 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545821355.550 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545821355.553 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545821355.554 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545821355.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545821355.560 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545821355.560 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545821355.560 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545821355.560 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of k in n 1545821355.561 * [misc]backup-simplify: Simplify k into k 1545821355.561 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.561 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.561 * [misc]backup-simplify: Simplify 2 into 2 1545821355.561 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.561 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.561 * [misc]backup-simplify: Simplify PI into PI 1545821355.561 * [misc]taylor: Taking taylor expansion of n in n 1545821355.561 * [misc]backup-simplify: Simplify 0 into 0 1545821355.561 * [misc]backup-simplify: Simplify 1 into 1 1545821355.561 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.561 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.562 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.562 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.562 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.562 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.562 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.563 * [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))) 1545821355.563 * [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)))) 1545821355.563 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545821355.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821355.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.564 * [misc]taylor: Taking taylor expansion of k in n 1545821355.564 * [misc]backup-simplify: Simplify k into k 1545821355.564 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.564 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821355.564 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.564 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821355.564 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of k in k 1545821355.564 * [misc]backup-simplify: Simplify 0 into 0 1545821355.564 * [misc]backup-simplify: Simplify 1 into 1 1545821355.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.564 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.564 * [misc]backup-simplify: Simplify 2 into 2 1545821355.564 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.564 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.564 * [misc]backup-simplify: Simplify PI into PI 1545821355.564 * [misc]taylor: Taking taylor expansion of n in k 1545821355.564 * [misc]backup-simplify: Simplify n into n 1545821355.564 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.564 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821355.564 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821355.564 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.565 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.565 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.565 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821355.565 * [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)))) 1545821355.565 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545821355.565 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821355.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.565 * [misc]taylor: Taking taylor expansion of k in k 1545821355.565 * [misc]backup-simplify: Simplify 0 into 0 1545821355.565 * [misc]backup-simplify: Simplify 1 into 1 1545821355.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.566 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.566 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of k in k 1545821355.566 * [misc]backup-simplify: Simplify 0 into 0 1545821355.566 * [misc]backup-simplify: Simplify 1 into 1 1545821355.566 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.566 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.566 * [misc]backup-simplify: Simplify 2 into 2 1545821355.566 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.566 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.566 * [misc]backup-simplify: Simplify PI into PI 1545821355.566 * [misc]taylor: Taking taylor expansion of n in k 1545821355.566 * [misc]backup-simplify: Simplify n into n 1545821355.566 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.566 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821355.566 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821355.566 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.566 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.567 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.567 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821355.567 * [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)))) 1545821355.567 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545821355.567 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821355.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.567 * [misc]taylor: Taking taylor expansion of k in k 1545821355.567 * [misc]backup-simplify: Simplify 0 into 0 1545821355.567 * [misc]backup-simplify: Simplify 1 into 1 1545821355.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.567 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.568 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.568 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545821355.568 * [misc]taylor: Taking taylor expansion of 0 in n 1545821355.568 * [misc]backup-simplify: Simplify 0 into 0 1545821355.568 * [misc]backup-simplify: Simplify 0 into 0 1545821355.568 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821355.568 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821355.568 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.568 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.568 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.568 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.569 * [misc]taylor: Taking taylor expansion of k in n 1545821355.569 * [misc]backup-simplify: Simplify k into k 1545821355.569 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.569 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.569 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.569 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.569 * [misc]backup-simplify: Simplify 2 into 2 1545821355.569 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.569 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.569 * [misc]backup-simplify: Simplify PI into PI 1545821355.569 * [misc]taylor: Taking taylor expansion of n in n 1545821355.569 * [misc]backup-simplify: Simplify 0 into 0 1545821355.569 * [misc]backup-simplify: Simplify 1 into 1 1545821355.569 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.569 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.569 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.569 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.569 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.570 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.570 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.570 * [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))) 1545821355.571 * [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)))) 1545821355.571 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545821355.572 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1545821355.572 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.572 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.572 * [misc]backup-simplify: Simplify 0 into 0 1545821355.573 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821355.573 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.574 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821355.574 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821355.574 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.574 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.574 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.574 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.574 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of k in n 1545821355.574 * [misc]backup-simplify: Simplify k into k 1545821355.574 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.574 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.574 * [misc]backup-simplify: Simplify 2 into 2 1545821355.574 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.574 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.574 * [misc]backup-simplify: Simplify PI into PI 1545821355.574 * [misc]taylor: Taking taylor expansion of n in n 1545821355.574 * [misc]backup-simplify: Simplify 0 into 0 1545821355.574 * [misc]backup-simplify: Simplify 1 into 1 1545821355.574 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.575 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.575 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.575 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.575 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.575 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.576 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.576 * [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))) 1545821355.576 * [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)))) 1545821355.577 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545821355.577 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1545821355.578 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.578 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.579 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.579 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821355.581 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.581 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.581 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.581 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.582 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545821355.583 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.584 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545821355.584 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545821355.585 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.585 * [misc]backup-simplify: Simplify 0 into 0 1545821355.585 * [misc]backup-simplify: Simplify 0 into 0 1545821355.585 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.586 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821355.586 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821355.586 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821355.586 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.586 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.586 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.586 * [misc]taylor: Taking taylor expansion of k in n 1545821355.587 * [misc]backup-simplify: Simplify k into k 1545821355.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.587 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.587 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.587 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.587 * [misc]backup-simplify: Simplify 2 into 2 1545821355.587 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.587 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.587 * [misc]backup-simplify: Simplify PI into PI 1545821355.587 * [misc]taylor: Taking taylor expansion of n in n 1545821355.587 * [misc]backup-simplify: Simplify 0 into 0 1545821355.587 * [misc]backup-simplify: Simplify 1 into 1 1545821355.587 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.587 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.588 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.588 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.588 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.588 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.589 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.589 * [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))) 1545821355.590 * [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)))) 1545821355.590 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545821355.591 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1545821355.592 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.593 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545821355.595 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545821355.596 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821355.596 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545821355.596 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.596 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821355.596 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821355.596 * [misc]taylor: Taking taylor expansion of -1 in n 1545821355.596 * [misc]backup-simplify: Simplify -1 into -1 1545821355.596 * [misc]taylor: Taking taylor expansion of k in n 1545821355.596 * [misc]backup-simplify: Simplify k into k 1545821355.596 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821355.596 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821355.596 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821355.596 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821355.596 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.596 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.597 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of k in n 1545821355.597 * [misc]backup-simplify: Simplify k into k 1545821355.597 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.597 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.597 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.597 * [misc]backup-simplify: Simplify -2 into -2 1545821355.597 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.597 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.597 * [misc]backup-simplify: Simplify PI into PI 1545821355.597 * [misc]taylor: Taking taylor expansion of n in n 1545821355.597 * [misc]backup-simplify: Simplify 0 into 0 1545821355.597 * [misc]backup-simplify: Simplify 1 into 1 1545821355.598 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.598 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.598 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.598 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.599 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.600 * [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))) 1545821355.600 * [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)))) 1545821355.601 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545821355.601 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821355.601 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821355.601 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821355.601 * [misc]taylor: Taking taylor expansion of -1 in k 1545821355.601 * [misc]backup-simplify: Simplify -1 into -1 1545821355.601 * [misc]taylor: Taking taylor expansion of k in k 1545821355.601 * [misc]backup-simplify: Simplify 0 into 0 1545821355.601 * [misc]backup-simplify: Simplify 1 into 1 1545821355.602 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821355.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.602 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821355.602 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821355.602 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821355.602 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821355.602 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.602 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.602 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.602 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.603 * [misc]taylor: Taking taylor expansion of k in k 1545821355.603 * [misc]backup-simplify: Simplify 0 into 0 1545821355.603 * [misc]backup-simplify: Simplify 1 into 1 1545821355.603 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.603 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.603 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.603 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821355.603 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821355.603 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.603 * [misc]backup-simplify: Simplify -2 into -2 1545821355.603 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.603 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.603 * [misc]backup-simplify: Simplify PI into PI 1545821355.603 * [misc]taylor: Taking taylor expansion of n in k 1545821355.603 * [misc]backup-simplify: Simplify n into n 1545821355.603 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.603 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821355.603 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821355.603 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.604 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.604 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821355.604 * [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))) 1545821355.604 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821355.604 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821355.604 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821355.604 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821355.604 * [misc]taylor: Taking taylor expansion of -1 in k 1545821355.604 * [misc]backup-simplify: Simplify -1 into -1 1545821355.604 * [misc]taylor: Taking taylor expansion of k in k 1545821355.604 * [misc]backup-simplify: Simplify 0 into 0 1545821355.604 * [misc]backup-simplify: Simplify 1 into 1 1545821355.605 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821355.605 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.605 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821355.605 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821355.605 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821355.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821355.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.606 * [misc]taylor: Taking taylor expansion of k in k 1545821355.606 * [misc]backup-simplify: Simplify 0 into 0 1545821355.606 * [misc]backup-simplify: Simplify 1 into 1 1545821355.606 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.606 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.606 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821355.606 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821355.606 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.606 * [misc]backup-simplify: Simplify -2 into -2 1545821355.606 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.606 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.606 * [misc]backup-simplify: Simplify PI into PI 1545821355.606 * [misc]taylor: Taking taylor expansion of n in k 1545821355.606 * [misc]backup-simplify: Simplify n into n 1545821355.606 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.606 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821355.606 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821355.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.607 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821355.607 * [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))) 1545821355.607 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821355.607 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.607 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.607 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.607 * [misc]backup-simplify: Simplify -2 into -2 1545821355.607 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.607 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.607 * [misc]backup-simplify: Simplify PI into PI 1545821355.607 * [misc]taylor: Taking taylor expansion of n in n 1545821355.607 * [misc]backup-simplify: Simplify 0 into 0 1545821355.607 * [misc]backup-simplify: Simplify 1 into 1 1545821355.608 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.608 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.608 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.608 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.608 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.608 * [misc]taylor: Taking taylor expansion of k in n 1545821355.608 * [misc]backup-simplify: Simplify k into k 1545821355.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.609 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.609 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.609 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.609 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.610 * [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)))) 1545821355.610 * [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))))) 1545821355.610 * [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))))) 1545821355.611 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821355.611 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.612 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545821355.612 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.612 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.612 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.612 * [misc]backup-simplify: Simplify -2 into -2 1545821355.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.612 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.612 * [misc]backup-simplify: Simplify PI into PI 1545821355.612 * [misc]taylor: Taking taylor expansion of n in n 1545821355.612 * [misc]backup-simplify: Simplify 0 into 0 1545821355.612 * [misc]backup-simplify: Simplify 1 into 1 1545821355.612 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.612 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.613 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.613 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.613 * [misc]taylor: Taking taylor expansion of k in n 1545821355.613 * [misc]backup-simplify: Simplify k into k 1545821355.613 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.613 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.613 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.613 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.614 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.614 * [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)))) 1545821355.614 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545821355.615 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1545821355.615 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545821355.616 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545821355.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.616 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.617 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.618 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821355.619 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545821355.620 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545821355.621 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.622 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1545821355.622 * [misc]backup-simplify: Simplify 0 into 0 1545821355.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.623 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821355.623 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545821355.623 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545821355.623 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821355.623 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.623 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.623 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.623 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.623 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.624 * [misc]backup-simplify: Simplify -2 into -2 1545821355.624 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.624 * [misc]backup-simplify: Simplify PI into PI 1545821355.624 * [misc]taylor: Taking taylor expansion of n in n 1545821355.624 * [misc]backup-simplify: Simplify 0 into 0 1545821355.624 * [misc]backup-simplify: Simplify 1 into 1 1545821355.624 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.624 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.624 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.624 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.624 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.624 * [misc]taylor: Taking taylor expansion of k in n 1545821355.624 * [misc]backup-simplify: Simplify k into k 1545821355.624 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.625 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.625 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.625 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.626 * [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)))) 1545821355.627 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545821355.627 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1545821355.628 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545821355.629 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545821355.630 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545821355.630 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545821355.630 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545821355.631 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1545821355.631 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of k in n 1545821355.631 * [misc]backup-simplify: Simplify k into k 1545821355.631 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.631 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821355.631 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.631 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821355.631 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.631 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.631 * [misc]taylor: Taking taylor expansion of k in n 1545821355.631 * [misc]backup-simplify: Simplify k into k 1545821355.631 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.631 * [misc]backup-simplify: Simplify 2 into 2 1545821355.631 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.631 * [misc]taylor: Taking taylor expansion of n in n 1545821355.631 * [misc]backup-simplify: Simplify 0 into 0 1545821355.631 * [misc]backup-simplify: Simplify 1 into 1 1545821355.631 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.631 * [misc]backup-simplify: Simplify PI into PI 1545821355.631 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.632 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.632 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.632 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.633 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.633 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821355.633 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821355.633 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821355.633 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.634 * [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)))) 1545821355.634 * [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))))) 1545821355.634 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545821355.634 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821355.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.634 * [misc]taylor: Taking taylor expansion of k in k 1545821355.634 * [misc]backup-simplify: Simplify 0 into 0 1545821355.634 * [misc]backup-simplify: Simplify 1 into 1 1545821355.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.634 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.635 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.635 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.635 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.635 * [misc]taylor: Taking taylor expansion of k in k 1545821355.635 * [misc]backup-simplify: Simplify 0 into 0 1545821355.635 * [misc]backup-simplify: Simplify 1 into 1 1545821355.635 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.635 * [misc]backup-simplify: Simplify 2 into 2 1545821355.635 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of n in k 1545821355.635 * [misc]backup-simplify: Simplify n into n 1545821355.635 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.635 * [misc]backup-simplify: Simplify PI into PI 1545821355.635 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821355.635 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821355.635 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821355.635 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.635 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.635 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.635 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821355.635 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821355.635 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545821355.635 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of k in k 1545821355.636 * [misc]backup-simplify: Simplify 0 into 0 1545821355.636 * [misc]backup-simplify: Simplify 1 into 1 1545821355.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.636 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.636 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.636 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.636 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.636 * [misc]taylor: Taking taylor expansion of k in k 1545821355.636 * [misc]backup-simplify: Simplify 0 into 0 1545821355.636 * [misc]backup-simplify: Simplify 1 into 1 1545821355.636 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.636 * [misc]backup-simplify: Simplify 2 into 2 1545821355.636 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545821355.636 * [misc]taylor: Taking taylor expansion of n in k 1545821355.636 * [misc]backup-simplify: Simplify n into n 1545821355.636 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.636 * [misc]backup-simplify: Simplify PI into PI 1545821355.636 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545821355.636 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545821355.636 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545821355.637 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821355.637 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.637 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.637 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545821355.637 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545821355.637 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1545821355.637 * [misc]taylor: Taking taylor expansion of 0 in n 1545821355.637 * [misc]backup-simplify: Simplify 0 into 0 1545821355.637 * [misc]backup-simplify: Simplify 0 into 0 1545821355.637 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545821355.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545821355.638 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545821355.638 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821355.638 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.638 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.638 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545821355.639 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1545821355.639 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545821355.639 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.639 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.639 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.639 * [misc]backup-simplify: Simplify 2 into 2 1545821355.639 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.639 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.639 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.639 * [misc]taylor: Taking taylor expansion of n in n 1545821355.639 * [misc]backup-simplify: Simplify 0 into 0 1545821355.640 * [misc]backup-simplify: Simplify 1 into 1 1545821355.640 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.640 * [misc]backup-simplify: Simplify PI into PI 1545821355.640 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.640 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.641 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.641 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.641 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821355.641 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.642 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.642 * [misc]backup-simplify: Simplify 0 into 0 1545821355.642 * [misc]backup-simplify: Simplify 0 into 0 1545821355.642 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545821355.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545821355.644 * [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 1545821355.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821355.645 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545821355.646 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1545821355.647 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821355.648 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.649 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1545821355.649 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.649 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.649 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.649 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.649 * [misc]backup-simplify: Simplify 2 into 2 1545821355.649 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.650 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.650 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.650 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.650 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.650 * [misc]backup-simplify: Simplify 2 into 2 1545821355.650 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.650 * [misc]taylor: Taking taylor expansion of n in n 1545821355.650 * [misc]backup-simplify: Simplify 0 into 0 1545821355.650 * [misc]backup-simplify: Simplify 1 into 1 1545821355.650 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.650 * [misc]backup-simplify: Simplify PI into PI 1545821355.650 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.650 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.651 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.652 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.652 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.652 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.652 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.652 * [misc]taylor: Taking taylor expansion of n in n 1545821355.652 * [misc]backup-simplify: Simplify 0 into 0 1545821355.652 * [misc]backup-simplify: Simplify 1 into 1 1545821355.652 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.652 * [misc]backup-simplify: Simplify PI into PI 1545821355.653 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.653 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.653 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.654 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.654 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545821355.654 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821355.654 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.654 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.654 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821355.654 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.654 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.654 * [misc]backup-simplify: Simplify 2 into 2 1545821355.654 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.654 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.654 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.655 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.655 * [misc]taylor: Taking taylor expansion of n in n 1545821355.655 * [misc]backup-simplify: Simplify 0 into 0 1545821355.655 * [misc]backup-simplify: Simplify 1 into 1 1545821355.655 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.655 * [misc]backup-simplify: Simplify PI into PI 1545821355.655 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.655 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.656 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.656 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.657 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.657 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545821355.658 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545821355.658 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.659 * [misc]backup-simplify: Simplify 0 into 0 1545821355.660 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.662 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.663 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.664 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.665 * [misc]backup-simplify: Simplify 0 into 0 1545821355.666 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545821355.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1545821355.669 * [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 1545821355.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821355.670 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.670 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1545821355.672 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (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 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1545821355.672 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.674 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821355.675 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545821355.675 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.675 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.675 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.675 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.676 * [misc]backup-simplify: Simplify 2 into 2 1545821355.676 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.676 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.676 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.676 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.676 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.676 * [misc]backup-simplify: Simplify 2 into 2 1545821355.676 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.676 * [misc]taylor: Taking taylor expansion of n in n 1545821355.676 * [misc]backup-simplify: Simplify 0 into 0 1545821355.676 * [misc]backup-simplify: Simplify 1 into 1 1545821355.676 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.676 * [misc]backup-simplify: Simplify PI into PI 1545821355.676 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.677 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.677 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.678 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.679 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.679 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.679 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.679 * [misc]taylor: Taking taylor expansion of n in n 1545821355.679 * [misc]backup-simplify: Simplify 0 into 0 1545821355.679 * [misc]backup-simplify: Simplify 1 into 1 1545821355.679 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.679 * [misc]backup-simplify: Simplify PI into PI 1545821355.679 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.680 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.680 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.681 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.681 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.681 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.681 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.681 * [misc]backup-simplify: Simplify 2 into 2 1545821355.681 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.681 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.681 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545821355.681 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.681 * [misc]backup-simplify: Simplify 2 into 2 1545821355.681 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.682 * [misc]taylor: Taking taylor expansion of n in n 1545821355.682 * [misc]backup-simplify: Simplify 0 into 0 1545821355.682 * [misc]backup-simplify: Simplify 1 into 1 1545821355.682 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.682 * [misc]backup-simplify: Simplify PI into PI 1545821355.682 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.682 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821355.683 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.683 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545821355.684 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.685 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.685 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.685 * [misc]taylor: Taking taylor expansion of n in n 1545821355.685 * [misc]backup-simplify: Simplify 0 into 0 1545821355.685 * [misc]backup-simplify: Simplify 1 into 1 1545821355.685 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.685 * [misc]backup-simplify: Simplify PI into PI 1545821355.685 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.686 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.686 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.686 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.686 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545821355.686 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821355.686 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.686 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.686 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821355.686 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821355.686 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.687 * [misc]backup-simplify: Simplify 2 into 2 1545821355.687 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821355.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821355.687 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821355.687 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821355.687 * [misc]taylor: Taking taylor expansion of n in n 1545821355.687 * [misc]backup-simplify: Simplify 0 into 0 1545821355.687 * [misc]backup-simplify: Simplify 1 into 1 1545821355.687 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.687 * [misc]backup-simplify: Simplify PI into PI 1545821355.687 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821355.688 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821355.688 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.689 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821355.689 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.690 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545821355.691 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545821355.691 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.693 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1545821355.694 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1545821355.695 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1545821355.695 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.696 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821355.696 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821355.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.696 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.697 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.697 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.697 * [misc]backup-simplify: Simplify 0 into 0 1545821355.698 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.699 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545821355.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545821355.703 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545821355.704 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545821355.707 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1545821355.709 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.710 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.712 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821355.715 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1545821355.719 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821355.722 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821355.724 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821355.725 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545821355.726 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545821355.729 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821355.734 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821355.736 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821355.737 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821355.744 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545821355.745 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545821355.745 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545821355.745 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of k in n 1545821355.745 * [misc]backup-simplify: Simplify k into k 1545821355.745 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821355.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821355.745 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.745 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.746 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.746 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.746 * [misc]taylor: Taking taylor expansion of k in n 1545821355.746 * [misc]backup-simplify: Simplify k into k 1545821355.746 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.746 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.746 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.746 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.746 * [misc]backup-simplify: Simplify 2 into 2 1545821355.746 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.746 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.746 * [misc]backup-simplify: Simplify PI into PI 1545821355.746 * [misc]taylor: Taking taylor expansion of n in n 1545821355.746 * [misc]backup-simplify: Simplify 0 into 0 1545821355.746 * [misc]backup-simplify: Simplify 1 into 1 1545821355.746 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.747 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.747 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.747 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.747 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.747 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.748 * [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))) 1545821355.749 * [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)))) 1545821355.749 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of k in k 1545821355.749 * [misc]backup-simplify: Simplify 0 into 0 1545821355.749 * [misc]backup-simplify: Simplify 1 into 1 1545821355.749 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.749 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.749 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of k in k 1545821355.749 * [misc]backup-simplify: Simplify 0 into 0 1545821355.749 * [misc]backup-simplify: Simplify 1 into 1 1545821355.749 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.749 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821355.749 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821355.750 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.750 * [misc]backup-simplify: Simplify 2 into 2 1545821355.750 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.750 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.750 * [misc]backup-simplify: Simplify PI into PI 1545821355.750 * [misc]taylor: Taking taylor expansion of n in k 1545821355.750 * [misc]backup-simplify: Simplify n into n 1545821355.750 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.750 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821355.750 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821355.750 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.750 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.750 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.750 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821355.750 * [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)))) 1545821355.750 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821355.750 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821355.750 * [misc]taylor: Taking taylor expansion of k in k 1545821355.750 * [misc]backup-simplify: Simplify 0 into 0 1545821355.750 * [misc]backup-simplify: Simplify 1 into 1 1545821355.750 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.751 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821355.751 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.751 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of k in k 1545821355.751 * [misc]backup-simplify: Simplify 0 into 0 1545821355.751 * [misc]backup-simplify: Simplify 1 into 1 1545821355.751 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.751 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of 2 in k 1545821355.751 * [misc]backup-simplify: Simplify 2 into 2 1545821355.751 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.751 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.751 * [misc]backup-simplify: Simplify PI into PI 1545821355.751 * [misc]taylor: Taking taylor expansion of n in k 1545821355.751 * [misc]backup-simplify: Simplify n into n 1545821355.751 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.751 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545821355.751 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545821355.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.752 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821355.752 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821355.752 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545821355.752 * [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)))) 1545821355.752 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545821355.752 * [misc]taylor: Taking taylor expansion of 0 in n 1545821355.752 * [misc]backup-simplify: Simplify 0 into 0 1545821355.752 * [misc]backup-simplify: Simplify 0 into 0 1545821355.752 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545821355.752 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.752 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.752 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.752 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.753 * [misc]taylor: Taking taylor expansion of k in n 1545821355.753 * [misc]backup-simplify: Simplify k into k 1545821355.753 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.753 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.753 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.753 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.753 * [misc]backup-simplify: Simplify 2 into 2 1545821355.753 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.753 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.753 * [misc]backup-simplify: Simplify PI into PI 1545821355.753 * [misc]taylor: Taking taylor expansion of n in n 1545821355.753 * [misc]backup-simplify: Simplify 0 into 0 1545821355.753 * [misc]backup-simplify: Simplify 1 into 1 1545821355.753 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.753 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.753 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.753 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.753 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.754 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.754 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.754 * [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))) 1545821355.755 * [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)))) 1545821355.755 * [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))))) 1545821355.756 * [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)))))) 1545821355.756 * [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)))))) 1545821355.756 * [misc]backup-simplify: Simplify 0 into 0 1545821355.757 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545821355.757 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.757 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.757 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of k in n 1545821355.757 * [misc]backup-simplify: Simplify k into k 1545821355.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.757 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.757 * [misc]backup-simplify: Simplify 2 into 2 1545821355.757 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.757 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.757 * [misc]backup-simplify: Simplify PI into PI 1545821355.757 * [misc]taylor: Taking taylor expansion of n in n 1545821355.757 * [misc]backup-simplify: Simplify 0 into 0 1545821355.757 * [misc]backup-simplify: Simplify 1 into 1 1545821355.758 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.758 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.758 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.758 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.758 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.758 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.759 * [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))) 1545821355.759 * [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)))) 1545821355.760 * [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))))) 1545821355.760 * [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)))))) 1545821355.761 * [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)))))) 1545821355.761 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545821355.763 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545821355.763 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.764 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.764 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.764 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.765 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545821355.766 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.766 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545821355.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545821355.766 * [misc]backup-simplify: Simplify 0 into 0 1545821355.766 * [misc]backup-simplify: Simplify 0 into 0 1545821355.767 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821355.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545821355.767 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.767 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.767 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821355.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.768 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.768 * [misc]taylor: Taking taylor expansion of k in n 1545821355.768 * [misc]backup-simplify: Simplify k into k 1545821355.768 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.768 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545821355.768 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545821355.768 * [misc]taylor: Taking taylor expansion of 2 in n 1545821355.768 * [misc]backup-simplify: Simplify 2 into 2 1545821355.768 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.768 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.768 * [misc]backup-simplify: Simplify PI into PI 1545821355.768 * [misc]taylor: Taking taylor expansion of n in n 1545821355.768 * [misc]backup-simplify: Simplify 0 into 0 1545821355.768 * [misc]backup-simplify: Simplify 1 into 1 1545821355.768 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.768 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545821355.768 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545821355.768 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.768 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821355.769 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821355.769 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545821355.769 * [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))) 1545821355.770 * [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)))) 1545821355.770 * [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))))) 1545821355.771 * [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)))))) 1545821355.771 * [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)))))) 1545821355.774 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1545821355.774 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545821355.774 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1545821355.774 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of k in n 1545821355.774 * [misc]backup-simplify: Simplify k into k 1545821355.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.774 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.774 * [misc]backup-simplify: Simplify -2 into -2 1545821355.774 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.774 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.774 * [misc]backup-simplify: Simplify PI into PI 1545821355.774 * [misc]taylor: Taking taylor expansion of n in n 1545821355.774 * [misc]backup-simplify: Simplify 0 into 0 1545821355.774 * [misc]backup-simplify: Simplify 1 into 1 1545821355.775 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.775 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.775 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.775 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.775 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.776 * [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))) 1545821355.777 * [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)))) 1545821355.777 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821355.777 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821355.777 * [misc]taylor: Taking taylor expansion of -1 in n 1545821355.777 * [misc]backup-simplify: Simplify -1 into -1 1545821355.777 * [misc]taylor: Taking taylor expansion of k in n 1545821355.777 * [misc]backup-simplify: Simplify k into k 1545821355.777 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821355.777 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821355.777 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821355.778 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821355.778 * [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))) 1545821355.778 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545821355.778 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821355.778 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821355.778 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821355.778 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.778 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.779 * [misc]taylor: Taking taylor expansion of k in k 1545821355.779 * [misc]backup-simplify: Simplify 0 into 0 1545821355.779 * [misc]backup-simplify: Simplify 1 into 1 1545821355.779 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.779 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821355.779 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821355.779 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.779 * [misc]backup-simplify: Simplify -2 into -2 1545821355.779 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.779 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.779 * [misc]backup-simplify: Simplify PI into PI 1545821355.779 * [misc]taylor: Taking taylor expansion of n in k 1545821355.779 * [misc]backup-simplify: Simplify n into n 1545821355.779 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.779 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821355.779 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821355.780 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.780 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.780 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821355.780 * [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))) 1545821355.780 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821355.780 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821355.780 * [misc]taylor: Taking taylor expansion of -1 in k 1545821355.780 * [misc]backup-simplify: Simplify -1 into -1 1545821355.780 * [misc]taylor: Taking taylor expansion of k in k 1545821355.780 * [misc]backup-simplify: Simplify 0 into 0 1545821355.780 * [misc]backup-simplify: Simplify 1 into 1 1545821355.780 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821355.781 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.781 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821355.781 * [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)))) 1545821355.781 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821355.781 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.781 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821355.782 * [misc]taylor: Taking taylor expansion of k in k 1545821355.782 * [misc]backup-simplify: Simplify 0 into 0 1545821355.782 * [misc]backup-simplify: Simplify 1 into 1 1545821355.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821355.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821355.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.782 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545821355.782 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545821355.782 * [misc]taylor: Taking taylor expansion of -2 in k 1545821355.782 * [misc]backup-simplify: Simplify -2 into -2 1545821355.782 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545821355.782 * [misc]taylor: Taking taylor expansion of PI in k 1545821355.782 * [misc]backup-simplify: Simplify PI into PI 1545821355.782 * [misc]taylor: Taking taylor expansion of n in k 1545821355.782 * [misc]backup-simplify: Simplify n into n 1545821355.782 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545821355.782 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545821355.782 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545821355.782 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821355.783 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821355.783 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545821355.783 * [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))) 1545821355.783 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821355.783 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821355.783 * [misc]taylor: Taking taylor expansion of -1 in k 1545821355.783 * [misc]backup-simplify: Simplify -1 into -1 1545821355.783 * [misc]taylor: Taking taylor expansion of k in k 1545821355.783 * [misc]backup-simplify: Simplify 0 into 0 1545821355.783 * [misc]backup-simplify: Simplify 1 into 1 1545821355.784 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821355.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821355.784 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821355.785 * [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)))) 1545821355.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.785 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.785 * [misc]backup-simplify: Simplify -2 into -2 1545821355.785 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.785 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.785 * [misc]backup-simplify: Simplify PI into PI 1545821355.785 * [misc]taylor: Taking taylor expansion of n in n 1545821355.785 * [misc]backup-simplify: Simplify 0 into 0 1545821355.785 * [misc]backup-simplify: Simplify 1 into 1 1545821355.786 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.786 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.786 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.786 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.786 * [misc]taylor: Taking taylor expansion of k in n 1545821355.786 * [misc]backup-simplify: Simplify k into k 1545821355.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.787 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.787 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.788 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.789 * [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)))) 1545821355.789 * [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))))) 1545821355.790 * [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))))) 1545821355.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821355.791 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821355.792 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821355.792 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.792 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.792 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.792 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.792 * [misc]backup-simplify: Simplify -2 into -2 1545821355.792 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.793 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.793 * [misc]backup-simplify: Simplify PI into PI 1545821355.793 * [misc]taylor: Taking taylor expansion of n in n 1545821355.793 * [misc]backup-simplify: Simplify 0 into 0 1545821355.793 * [misc]backup-simplify: Simplify 1 into 1 1545821355.793 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.793 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.794 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.794 * [misc]taylor: Taking taylor expansion of k in n 1545821355.794 * [misc]backup-simplify: Simplify k into k 1545821355.794 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.795 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.795 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.795 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.796 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.796 * [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)))) 1545821355.797 * [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))))) 1545821355.798 * [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)))))) 1545821355.798 * [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)))))) 1545821355.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821355.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821355.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821355.801 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545821355.801 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545821355.804 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545821355.805 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545821355.806 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821355.807 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545821355.807 * [misc]backup-simplify: Simplify 0 into 0 1545821355.808 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821355.809 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821355.810 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821355.810 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821355.810 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821355.810 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of -2 in n 1545821355.810 * [misc]backup-simplify: Simplify -2 into -2 1545821355.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545821355.810 * [misc]taylor: Taking taylor expansion of PI in n 1545821355.810 * [misc]backup-simplify: Simplify PI into PI 1545821355.810 * [misc]taylor: Taking taylor expansion of n in n 1545821355.810 * [misc]backup-simplify: Simplify 0 into 0 1545821355.810 * [misc]backup-simplify: Simplify 1 into 1 1545821355.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545821355.811 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545821355.811 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545821355.811 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821355.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821355.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821355.811 * [misc]taylor: Taking taylor expansion of k in n 1545821355.811 * [misc]backup-simplify: Simplify k into k 1545821355.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821355.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821355.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821355.812 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545821355.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821355.812 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821355.812 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545821355.813 * [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)))) 1545821355.813 * [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))))) 1545821355.814 * [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)))))) 1545821355.814 * [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)))))) 1545821355.815 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1545821355.816 * * * [misc]progress: simplifying candidates 1545821355.816 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1545821355.816 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1545821355.816 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1545821355.816 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545821355.816 * * [misc]simplify: iters left: 6 (11 enodes) 1545821355.818 * * [misc]simplify: iters left: 5 (21 enodes) 1545821355.821 * * [misc]simplify: iters left: 4 (47 enodes) 1545821355.830 * * [misc]simplify: iters left: 3 (112 enodes) 1545821355.882 * * [misc]simplify: iters left: 2 (337 enodes) 1545821356.152 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545821356.152 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1545821356.152 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1545821356.153 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1545821356.153 * [enter]simplify: Simplifying (* PI (* n 2)) 1545821356.153 * * [misc]simplify: iters left: 4 (5 enodes) 1545821356.154 * * [misc]simplify: iters left: 3 (9 enodes) 1545821356.155 * * [misc]simplify: iters left: 2 (15 enodes) 1545821356.159 * * [misc]simplify: iters left: 1 (17 enodes) 1545821356.163 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545821356.163 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1545821356.163 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1545821356.163 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545821356.163 * * [misc]simplify: iters left: 5 (8 enodes) 1545821356.166 * * [misc]simplify: iters left: 4 (12 enodes) 1545821356.168 * * [misc]simplify: iters left: 3 (18 enodes) 1545821356.171 * * [misc]simplify: iters left: 2 (20 enodes) 1545821356.174 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545821356.174 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1545821356.174 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1545821356.174 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821356.174 * * [misc]simplify: iters left: 5 (6 enodes) 1545821356.175 * * [misc]simplify: iters left: 4 (8 enodes) 1545821356.176 * * [misc]simplify: iters left: 3 (11 enodes) 1545821356.178 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821356.178 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545821356.178 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1545821356.178 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821356.178 * * [misc]simplify: iters left: 5 (6 enodes) 1545821356.179 * * [misc]simplify: iters left: 4 (8 enodes) 1545821356.180 * * [misc]simplify: iters left: 3 (11 enodes) 1545821356.181 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821356.181 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545821356.181 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1545821356.182 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821356.182 * * [misc]simplify: iters left: 4 (5 enodes) 1545821356.182 * * [misc]simplify: iters left: 3 (7 enodes) 1545821356.183 * * [misc]simplify: iters left: 2 (10 enodes) 1545821356.185 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821356.185 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1545821356.185 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1545821356.185 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821356.185 * * [misc]simplify: iters left: 5 (9 enodes) 1545821356.186 * * [misc]simplify: iters left: 4 (15 enodes) 1545821356.188 * * [misc]simplify: iters left: 3 (21 enodes) 1545821356.191 * * [misc]simplify: iters left: 2 (22 enodes) 1545821356.193 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821356.193 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821356.193 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1545821356.194 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821356.194 * * [misc]simplify: iters left: 5 (9 enodes) 1545821356.195 * * [misc]simplify: iters left: 4 (15 enodes) 1545821356.197 * * [misc]simplify: iters left: 3 (21 enodes) 1545821356.202 * * [misc]simplify: iters left: 2 (22 enodes) 1545821356.207 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821356.207 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821356.207 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1545821356.207 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545821356.208 * * [misc]simplify: iters left: 5 (7 enodes) 1545821356.210 * * [misc]simplify: iters left: 4 (9 enodes) 1545821356.212 * * [misc]simplify: iters left: 3 (12 enodes) 1545821356.213 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821356.213 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821356.213 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1545821356.213 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1545821356.213 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1545821356.213 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1545821356.213 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1545821356.214 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1545821356.214 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1545821356.214 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1545821356.215 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1545821356.215 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1545821356.216 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1545821356.216 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545821356.216 * * [misc]simplify: iters left: 6 (14 enodes) 1545821356.218 * * [misc]simplify: iters left: 5 (26 enodes) 1545821356.223 * * [misc]simplify: iters left: 4 (59 enodes) 1545821356.235 * * [misc]simplify: iters left: 3 (172 enodes) 1545821356.305 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1545821356.305 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1545821356.305 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1545821356.305 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545821356.305 * * [misc]simplify: iters left: 6 (14 enodes) 1545821356.310 * * [misc]simplify: iters left: 5 (26 enodes) 1545821356.319 * * [misc]simplify: iters left: 4 (59 enodes) 1545821356.343 * * [misc]simplify: iters left: 3 (172 enodes) 1545821356.412 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1545821356.413 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1545821356.413 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1545821356.413 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821356.413 * * [misc]simplify: iters left: 6 (14 enodes) 1545821356.415 * * [misc]simplify: iters left: 5 (24 enodes) 1545821356.423 * * [misc]simplify: iters left: 4 (46 enodes) 1545821356.438 * * [misc]simplify: iters left: 3 (105 enodes) 1545821356.475 * * [misc]simplify: iters left: 2 (342 enodes) 1545821356.734 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1545821356.734 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1545821356.734 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1545821356.734 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1545821356.734 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1545821356.735 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821356.735 * * [misc]simplify: iters left: 6 (16 enodes) 1545821356.740 * * [misc]simplify: iters left: 5 (31 enodes) 1545821356.751 * * [misc]simplify: iters left: 4 (65 enodes) 1545821356.771 * * [misc]simplify: iters left: 3 (98 enodes) 1545821356.799 * * [misc]simplify: iters left: 2 (124 enodes) 1545821356.841 * * [misc]simplify: iters left: 1 (131 enodes) 1545821356.868 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1545821356.869 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1545821356.869 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1545821356.869 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1545821356.869 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1545821356.869 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1545821356.869 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1545821356.869 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545821356.869 * * [misc]simplify: iters left: 6 (12 enodes) 1545821356.873 * * [misc]simplify: iters left: 5 (19 enodes) 1545821356.879 * * [misc]simplify: iters left: 4 (27 enodes) 1545821356.886 * * [misc]simplify: iters left: 3 (29 enodes) 1545821356.894 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545821356.894 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821356.894 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821356.894 * * [misc]simplify: iters left: 6 (12 enodes) 1545821356.898 * * [misc]simplify: iters left: 5 (18 enodes) 1545821356.903 * * [misc]simplify: iters left: 4 (24 enodes) 1545821356.910 * * [misc]simplify: iters left: 3 (25 enodes) 1545821356.914 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821356.914 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821356.914 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1545821356.914 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545821356.914 * * [misc]simplify: iters left: 6 (12 enodes) 1545821356.916 * * [misc]simplify: iters left: 5 (19 enodes) 1545821356.918 * * [misc]simplify: iters left: 4 (27 enodes) 1545821356.922 * * [misc]simplify: iters left: 3 (29 enodes) 1545821356.926 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545821356.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821356.926 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821356.926 * * [misc]simplify: iters left: 6 (12 enodes) 1545821356.928 * * [misc]simplify: iters left: 5 (18 enodes) 1545821356.930 * * [misc]simplify: iters left: 4 (24 enodes) 1545821356.933 * * [misc]simplify: iters left: 3 (25 enodes) 1545821356.937 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821356.937 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821356.937 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1545821356.938 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545821356.938 * * [misc]simplify: iters left: 6 (11 enodes) 1545821356.939 * * [misc]simplify: iters left: 5 (15 enodes) 1545821356.941 * * [misc]simplify: iters left: 4 (20 enodes) 1545821356.944 * * [misc]simplify: iters left: 3 (21 enodes) 1545821356.947 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545821356.947 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821356.947 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821356.948 * * [misc]simplify: iters left: 6 (11 enodes) 1545821356.951 * * [misc]simplify: iters left: 5 (14 enodes) 1545821356.955 * * [misc]simplify: iters left: 4 (17 enodes) 1545821356.960 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821356.960 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821356.960 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1545821356.960 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545821356.960 * * [misc]simplify: iters left: 6 (16 enodes) 1545821356.966 * * [misc]simplify: iters left: 5 (28 enodes) 1545821356.974 * * [misc]simplify: iters left: 4 (46 enodes) 1545821356.987 * * [misc]simplify: iters left: 3 (50 enodes) 1545821356.995 * * [misc]simplify: iters left: 2 (53 enodes) 1545821357.002 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545821357.002 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545821357.002 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.002 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.005 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.008 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.012 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.016 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.016 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545821357.016 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1545821357.016 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.016 * * [misc]simplify: iters left: 6 (15 enodes) 1545821357.019 * * [misc]simplify: iters left: 5 (23 enodes) 1545821357.022 * * [misc]simplify: iters left: 4 (34 enodes) 1545821357.027 * * [misc]simplify: iters left: 3 (36 enodes) 1545821357.032 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.032 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545821357.032 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.033 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.037 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.043 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.050 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.058 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.058 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545821357.058 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1545821357.058 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545821357.058 * * [misc]simplify: iters left: 6 (6 enodes) 1545821357.060 * * [misc]simplify: iters left: 5 (10 enodes) 1545821357.064 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.068 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821357.068 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545821357.068 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.068 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.072 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.078 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.086 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.094 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545821357.094 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.094 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1545821357.094 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545821357.094 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.098 * * [misc]simplify: iters left: 5 (16 enodes) 1545821357.102 * * [misc]simplify: iters left: 4 (22 enodes) 1545821357.108 * * [misc]simplify: iters left: 3 (23 enodes) 1545821357.110 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545821357.110 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821357.111 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.111 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.112 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.115 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.118 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.121 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.121 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821357.121 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1545821357.121 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545821357.122 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.123 * * [misc]simplify: iters left: 5 (16 enodes) 1545821357.125 * * [misc]simplify: iters left: 4 (22 enodes) 1545821357.128 * * [misc]simplify: iters left: 3 (23 enodes) 1545821357.131 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545821357.131 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821357.131 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.131 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.133 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.135 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.139 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.142 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.142 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545821357.142 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1545821357.142 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545821357.142 * * [misc]simplify: iters left: 6 (10 enodes) 1545821357.144 * * [misc]simplify: iters left: 5 (12 enodes) 1545821357.146 * * [misc]simplify: iters left: 4 (15 enodes) 1545821357.148 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545821357.148 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821357.148 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.148 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.150 * * [misc]simplify: iters left: 5 (14 enodes) 1545821357.152 * * [misc]simplify: iters left: 4 (17 enodes) 1545821357.154 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.154 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821357.154 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1545821357.154 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545821357.154 * * [misc]simplify: iters left: 6 (15 enodes) 1545821357.156 * * [misc]simplify: iters left: 5 (23 enodes) 1545821357.159 * * [misc]simplify: iters left: 4 (32 enodes) 1545821357.164 * * [misc]simplify: iters left: 3 (34 enodes) 1545821357.169 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545821357.169 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545821357.169 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.169 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.173 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.179 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.187 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.195 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545821357.195 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1545821357.195 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.195 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.200 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.205 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.213 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.220 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.220 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545821357.221 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.221 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.225 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.231 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.239 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.246 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545821357.246 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1545821357.247 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545821357.247 * * [misc]simplify: iters left: 4 (5 enodes) 1545821357.248 * * [misc]simplify: iters left: 3 (7 enodes) 1545821357.251 * * [misc]simplify: iters left: 2 (9 enodes) 1545821357.252 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821357.252 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545821357.252 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.252 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.254 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.257 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.262 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.265 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545821357.265 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.265 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1545821357.266 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545821357.266 * * [misc]simplify: iters left: 6 (9 enodes) 1545821357.267 * * [misc]simplify: iters left: 5 (16 enodes) 1545821357.269 * * [misc]simplify: iters left: 4 (22 enodes) 1545821357.272 * * [misc]simplify: iters left: 3 (23 enodes) 1545821357.274 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545821357.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821357.274 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.274 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.276 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.278 * * [misc]simplify: iters left: 4 (23 enodes) 1545821357.281 * * [misc]simplify: iters left: 3 (24 enodes) 1545821357.284 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545821357.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545821357.284 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1545821357.285 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545821357.285 * * [misc]simplify: iters left: 6 (9 enodes) 1545821357.286 * * [misc]simplify: iters left: 5 (16 enodes) 1545821357.288 * * [misc]simplify: iters left: 4 (22 enodes) 1545821357.291 * * [misc]simplify: iters left: 3 (23 enodes) 1545821357.293 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545821357.293 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545821357.293 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.294 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.295 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.297 * * [misc]simplify: iters left: 4 (23 enodes) 1545821357.300 * * [misc]simplify: iters left: 3 (24 enodes) 1545821357.303 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545821357.303 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545821357.303 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1545821357.304 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545821357.304 * * [misc]simplify: iters left: 6 (9 enodes) 1545821357.305 * * [misc]simplify: iters left: 5 (13 enodes) 1545821357.307 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.309 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545821357.309 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821357.309 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.309 * * [misc]simplify: iters left: 6 (10 enodes) 1545821357.310 * * [misc]simplify: iters left: 5 (13 enodes) 1545821357.312 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.314 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.314 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821357.314 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1545821357.314 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545821357.315 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.317 * * [misc]simplify: iters left: 5 (24 enodes) 1545821357.320 * * [misc]simplify: iters left: 4 (33 enodes) 1545821357.324 * * [misc]simplify: iters left: 3 (34 enodes) 1545821357.328 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1545821357.328 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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)))))))) 1545821357.328 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.328 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.331 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.334 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.337 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.341 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.341 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545821357.341 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1545821357.341 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.341 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.343 * * [misc]simplify: iters left: 5 (21 enodes) 1545821357.346 * * [misc]simplify: iters left: 4 (30 enodes) 1545821357.350 * * [misc]simplify: iters left: 3 (31 enodes) 1545821357.353 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1545821357.353 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545821357.353 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.354 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.356 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.358 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.362 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.366 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.366 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545821357.366 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1545821357.366 * [enter]simplify: Simplifying (/ 1 1) 1545821357.366 * * [misc]simplify: iters left: 2 (2 enodes) 1545821357.367 * * [misc]simplify: iters left: 1 (4 enodes) 1545821357.367 * [exit]simplify: Simplified to 1 1545821357.367 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545821357.367 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.367 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.369 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.371 * * [misc]simplify: iters left: 4 (27 enodes) 1545821357.375 * * [misc]simplify: iters left: 3 (29 enodes) 1545821357.381 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.381 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545821357.381 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1545821357.382 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1545821357.382 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1545821357.382 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1545821357.382 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821357.382 * * [misc]simplify: iters left: 5 (9 enodes) 1545821357.385 * * [misc]simplify: iters left: 4 (15 enodes) 1545821357.389 * * [misc]simplify: iters left: 3 (21 enodes) 1545821357.395 * * [misc]simplify: iters left: 2 (22 enodes) 1545821357.400 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821357.400 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.400 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1545821357.401 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545821357.401 * * [misc]simplify: iters left: 5 (9 enodes) 1545821357.403 * * [misc]simplify: iters left: 4 (15 enodes) 1545821357.408 * * [misc]simplify: iters left: 3 (21 enodes) 1545821357.413 * * [misc]simplify: iters left: 2 (22 enodes) 1545821357.419 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545821357.419 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.419 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1545821357.420 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545821357.420 * * [misc]simplify: iters left: 5 (8 enodes) 1545821357.422 * * [misc]simplify: iters left: 4 (11 enodes) 1545821357.425 * * [misc]simplify: iters left: 3 (14 enodes) 1545821357.430 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545821357.431 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821357.431 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1545821357.431 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.431 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.435 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.440 * * [misc]simplify: iters left: 4 (26 enodes) 1545821357.447 * * [misc]simplify: iters left: 3 (27 enodes) 1545821357.454 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545821357.454 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.454 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1545821357.454 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.455 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.458 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.463 * * [misc]simplify: iters left: 4 (26 enodes) 1545821357.471 * * [misc]simplify: iters left: 3 (27 enodes) 1545821357.477 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545821357.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.478 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1545821357.478 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545821357.478 * * [misc]simplify: iters left: 5 (10 enodes) 1545821357.481 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.485 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.488 * * [misc]simplify: iters left: 2 (26 enodes) 1545821357.491 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545821357.491 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545821357.491 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1545821357.491 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821357.491 * * [misc]simplify: iters left: 4 (4 enodes) 1545821357.492 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821357.492 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545821357.492 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1545821357.492 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545821357.492 * * [misc]simplify: iters left: 2 (3 enodes) 1545821357.493 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821357.493 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545821357.493 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1545821357.493 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1545821357.493 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545821357.493 * * [misc]simplify: iters left: 5 (8 enodes) 1545821357.494 * * [misc]simplify: iters left: 4 (12 enodes) 1545821357.496 * * [misc]simplify: iters left: 3 (18 enodes) 1545821357.499 * * [misc]simplify: iters left: 2 (20 enodes) 1545821357.501 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545821357.501 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1545821357.501 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1545821357.501 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1545821357.501 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1545821357.501 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1545821357.502 * [enter]simplify: Simplifying (- 1) 1545821357.502 * * [misc]simplify: iters left: 2 (2 enodes) 1545821357.503 * * [misc]simplify: iters left: 1 (5 enodes) 1545821357.503 * [exit]simplify: Simplified to -1 1545821357.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1545821357.503 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1545821357.503 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1545821357.504 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1545821357.504 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.504 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.506 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.509 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.513 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.516 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.517 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.517 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1545821357.517 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.517 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.519 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.521 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.525 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.528 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.529 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1545821357.529 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.529 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.531 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.534 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.537 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.540 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.540 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1545821357.541 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.541 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.542 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.545 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.548 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.551 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.551 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1545821357.551 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.551 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.553 * * [misc]simplify: iters left: 5 (14 enodes) 1545821357.555 * * [misc]simplify: iters left: 4 (17 enodes) 1545821357.557 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821357.557 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1545821357.558 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.558 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.560 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.562 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.569 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.577 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.577 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.577 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1545821357.577 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.577 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.582 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.588 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.593 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.597 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.597 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1545821357.597 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.597 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.599 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.602 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.605 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.609 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545821357.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545821357.609 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1545821357.609 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.609 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.611 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.613 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.616 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.620 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.620 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1545821357.620 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.621 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.623 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.625 * * [misc]simplify: iters left: 4 (24 enodes) 1545821357.628 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.631 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545821357.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545821357.631 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1545821357.631 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.632 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.633 * * [misc]simplify: iters left: 5 (14 enodes) 1545821357.635 * * [misc]simplify: iters left: 4 (17 enodes) 1545821357.637 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821357.637 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1545821357.638 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.638 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.640 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.646 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.654 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.661 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.661 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1545821357.662 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.662 * * [misc]simplify: iters left: 6 (14 enodes) 1545821357.666 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.671 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.679 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.686 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545821357.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545821357.687 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1545821357.687 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.687 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.691 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.696 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.704 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.712 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545821357.712 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545821357.712 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1545821357.712 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.712 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.715 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.720 * * [misc]simplify: iters left: 4 (23 enodes) 1545821357.726 * * [misc]simplify: iters left: 3 (24 enodes) 1545821357.732 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545821357.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545821357.732 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1545821357.733 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545821357.733 * * [misc]simplify: iters left: 6 (11 enodes) 1545821357.736 * * [misc]simplify: iters left: 5 (17 enodes) 1545821357.741 * * [misc]simplify: iters left: 4 (23 enodes) 1545821357.748 * * [misc]simplify: iters left: 3 (24 enodes) 1545821357.754 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545821357.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545821357.755 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1545821357.755 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.755 * * [misc]simplify: iters left: 6 (10 enodes) 1545821357.758 * * [misc]simplify: iters left: 5 (13 enodes) 1545821357.762 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.767 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821357.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821357.767 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1545821357.767 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.767 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.771 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.777 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.785 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.793 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.793 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1545821357.793 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545821357.793 * * [misc]simplify: iters left: 6 (13 enodes) 1545821357.798 * * [misc]simplify: iters left: 5 (19 enodes) 1545821357.804 * * [misc]simplify: iters left: 4 (28 enodes) 1545821357.809 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.813 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545821357.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545821357.813 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1545821357.813 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.813 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.815 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.818 * * [misc]simplify: iters left: 4 (27 enodes) 1545821357.822 * * [misc]simplify: iters left: 3 (29 enodes) 1545821357.826 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545821357.826 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1545821357.826 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.826 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.828 * * [misc]simplify: iters left: 5 (18 enodes) 1545821357.830 * * [misc]simplify: iters left: 4 (27 enodes) 1545821357.834 * * [misc]simplify: iters left: 3 (29 enodes) 1545821357.837 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.837 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545821357.838 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1545821357.838 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545821357.838 * * [misc]simplify: iters left: 6 (12 enodes) 1545821357.840 * * [misc]simplify: iters left: 5 (20 enodes) 1545821357.842 * * [misc]simplify: iters left: 4 (29 enodes) 1545821357.850 * * [misc]simplify: iters left: 3 (30 enodes) 1545821357.858 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1545821357.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1545821357.858 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1545821357.859 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545821357.859 * * [misc]simplify: iters left: 5 (8 enodes) 1545821357.861 * * [misc]simplify: iters left: 4 (12 enodes) 1545821357.865 * * [misc]simplify: iters left: 3 (18 enodes) 1545821357.870 * * [misc]simplify: iters left: 2 (20 enodes) 1545821357.875 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545821357.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1545821357.875 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1545821357.875 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545821357.875 * * [misc]simplify: iters left: 5 (10 enodes) 1545821357.878 * * [misc]simplify: iters left: 4 (16 enodes) 1545821357.883 * * [misc]simplify: iters left: 3 (25 enodes) 1545821357.890 * * [misc]simplify: iters left: 2 (26 enodes) 1545821357.897 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545821357.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545821357.897 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1545821357.897 * [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))))) 1545821357.898 * * [misc]simplify: iters left: 6 (37 enodes) 1545821357.914 * * [misc]simplify: iters left: 5 (108 enodes) 1545821357.939 * * [misc]simplify: iters left: 4 (368 enodes) 1545821358.181 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (log (* PI 2)) (log (* PI 2))) (* (* k (* k 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2))) (fma (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1545821358.181 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (log (* PI 2)) (log (* PI 2))) (* (* k (* k 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2))) (fma (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1545821358.181 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1545821358.181 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545821358.181 * * [misc]simplify: iters left: 6 (15 enodes) 1545821358.185 * * [misc]simplify: iters left: 5 (33 enodes) 1545821358.190 * * [misc]simplify: iters left: 4 (64 enodes) 1545821358.206 * * [misc]simplify: iters left: 3 (179 enodes) 1545821358.343 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545821358.343 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1545821358.344 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1545821358.344 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545821358.344 * * [misc]simplify: iters left: 6 (15 enodes) 1545821358.350 * * [misc]simplify: iters left: 5 (30 enodes) 1545821358.362 * * [misc]simplify: iters left: 4 (65 enodes) 1545821358.388 * * [misc]simplify: iters left: 3 (208 enodes) 1545821358.575 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545821358.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1545821358.576 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1545821358.576 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821358.576 * * [misc]simplify: iters left: 4 (5 enodes) 1545821358.577 * * [misc]simplify: iters left: 3 (9 enodes) 1545821358.578 * * [misc]simplify: iters left: 2 (15 enodes) 1545821358.580 * * [misc]simplify: iters left: 1 (17 enodes) 1545821358.582 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821358.582 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545821358.582 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1545821358.582 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821358.582 * * [misc]simplify: iters left: 4 (5 enodes) 1545821358.583 * * [misc]simplify: iters left: 3 (9 enodes) 1545821358.584 * * [misc]simplify: iters left: 2 (15 enodes) 1545821358.586 * * [misc]simplify: iters left: 1 (17 enodes) 1545821358.588 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821358.588 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545821358.588 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1545821358.588 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545821358.588 * * [misc]simplify: iters left: 4 (5 enodes) 1545821358.589 * * [misc]simplify: iters left: 3 (9 enodes) 1545821358.591 * * [misc]simplify: iters left: 2 (15 enodes) 1545821358.593 * * [misc]simplify: iters left: 1 (17 enodes) 1545821358.594 * [exit]simplify: Simplified to (* (* PI n) 2) 1545821358.595 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545821358.595 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1545821358.595 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545821358.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545821358.595 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1545821358.595 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545821358.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545821358.595 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1545821358.595 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545821358.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545821358.595 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1545821358.595 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1545821358.596 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821358.596 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1545821358.596 * [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)))))))) 1545821358.596 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821358.596 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1545821358.596 * [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))))))))))) 1545821358.596 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821358.596 * * * [misc]progress: adding candidates to table 1545821360.342 * * [misc]progress: iteration 3 / 4 1545821360.342 * * * [misc]progress: picking best candidate 1545821360.381 * * * * [misc]pick: Picked # 1545821360.381 * * * [misc]progress: localizing error 1545821360.423 * * * [misc]progress: generating rewritten candidates 1545821360.423 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1545821360.426 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) 1545821360.427 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1545821360.436 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545821360.444 * * * [misc]progress: generating series expansions 1545821360.444 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1545821360.444 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545821360.444 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545821360.444 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.444 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.444 * [misc]taylor: Taking taylor expansion of k in k 1545821360.444 * [misc]backup-simplify: Simplify 0 into 0 1545821360.444 * [misc]backup-simplify: Simplify 1 into 1 1545821360.444 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821360.444 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.444 * [misc]backup-simplify: Simplify 2 into 2 1545821360.444 * [misc]taylor: Taking taylor expansion of n in k 1545821360.444 * [misc]backup-simplify: Simplify n into n 1545821360.444 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821360.444 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821360.444 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.444 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.445 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821360.445 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821360.445 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.445 * [misc]taylor: Taking taylor expansion of k in n 1545821360.445 * [misc]backup-simplify: Simplify k into k 1545821360.445 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.445 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.445 * [misc]backup-simplify: Simplify 2 into 2 1545821360.445 * [misc]taylor: Taking taylor expansion of n in n 1545821360.445 * [misc]backup-simplify: Simplify 0 into 0 1545821360.445 * [misc]backup-simplify: Simplify 1 into 1 1545821360.445 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.445 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.445 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.445 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821360.446 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821360.446 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821360.449 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.449 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821360.449 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821360.449 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.449 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.449 * [misc]taylor: Taking taylor expansion of k in n 1545821360.449 * [misc]backup-simplify: Simplify k into k 1545821360.449 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.449 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.449 * [misc]backup-simplify: Simplify 2 into 2 1545821360.449 * [misc]taylor: Taking taylor expansion of n in n 1545821360.449 * [misc]backup-simplify: Simplify 0 into 0 1545821360.449 * [misc]backup-simplify: Simplify 1 into 1 1545821360.450 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.450 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.450 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.450 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821360.450 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821360.450 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821360.450 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.450 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821360.451 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821360.451 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.451 * [misc]backup-simplify: Simplify 2 into 2 1545821360.451 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.451 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of n in k 1545821360.451 * [misc]backup-simplify: Simplify n into n 1545821360.451 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821360.451 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.451 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.451 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.451 * [misc]taylor: Taking taylor expansion of k in k 1545821360.451 * [misc]backup-simplify: Simplify 0 into 0 1545821360.451 * [misc]backup-simplify: Simplify 1 into 1 1545821360.451 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545821360.451 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.452 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.452 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.452 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545821360.452 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545821360.452 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545821360.452 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.454 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545821360.454 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.454 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.455 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545821360.455 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.455 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.455 * [misc]backup-simplify: Simplify 0 into 0 1545821360.455 * [misc]backup-simplify: Simplify 0 into 0 1545821360.456 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821360.456 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.456 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.458 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545821360.458 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.458 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545821360.459 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545821360.459 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545821360.459 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821360.462 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821360.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545821360.462 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.463 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545821360.464 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821360.464 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.464 * [misc]backup-simplify: Simplify 0 into 0 1545821360.464 * [misc]backup-simplify: Simplify 0 into 0 1545821360.464 * [misc]backup-simplify: Simplify 0 into 0 1545821360.464 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.464 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.464 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.467 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821360.468 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545821360.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.468 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545821360.469 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545821360.470 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545821360.471 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545821360.472 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.472 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545821360.472 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of k in k 1545821360.472 * [misc]backup-simplify: Simplify 0 into 0 1545821360.472 * [misc]backup-simplify: Simplify 1 into 1 1545821360.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.472 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821360.472 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.472 * [misc]backup-simplify: Simplify 2 into 2 1545821360.472 * [misc]taylor: Taking taylor expansion of n in k 1545821360.472 * [misc]backup-simplify: Simplify n into n 1545821360.472 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821360.472 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821360.472 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.472 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.473 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.473 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821360.473 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.473 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.473 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of k in n 1545821360.473 * [misc]backup-simplify: Simplify k into k 1545821360.473 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.473 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.473 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.473 * [misc]backup-simplify: Simplify 2 into 2 1545821360.473 * [misc]taylor: Taking taylor expansion of n in n 1545821360.473 * [misc]backup-simplify: Simplify 0 into 0 1545821360.473 * [misc]backup-simplify: Simplify 1 into 1 1545821360.473 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.473 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.473 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.473 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.473 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.474 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.474 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.474 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.474 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of k in n 1545821360.474 * [misc]backup-simplify: Simplify k into k 1545821360.474 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.474 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.474 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.474 * [misc]backup-simplify: Simplify 2 into 2 1545821360.474 * [misc]taylor: Taking taylor expansion of n in n 1545821360.474 * [misc]backup-simplify: Simplify 0 into 0 1545821360.474 * [misc]backup-simplify: Simplify 1 into 1 1545821360.474 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.475 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.475 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.475 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.475 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.475 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.475 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.475 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.475 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545821360.475 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545821360.475 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.476 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.476 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.476 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.476 * [misc]taylor: Taking taylor expansion of k in k 1545821360.476 * [misc]backup-simplify: Simplify 0 into 0 1545821360.476 * [misc]backup-simplify: Simplify 1 into 1 1545821360.476 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.476 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545821360.476 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545821360.476 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.476 * [misc]backup-simplify: Simplify 2 into 2 1545821360.476 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.476 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821360.476 * [misc]taylor: Taking taylor expansion of n in k 1545821360.476 * [misc]backup-simplify: Simplify n into n 1545821360.476 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821360.476 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.476 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.476 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.476 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821360.476 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545821360.477 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545821360.477 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.477 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821360.479 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.479 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.479 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.479 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.480 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821360.480 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.480 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.480 * [misc]backup-simplify: Simplify 0 into 0 1545821360.480 * [misc]backup-simplify: Simplify 0 into 0 1545821360.480 * [misc]backup-simplify: Simplify 0 into 0 1545821360.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.483 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821360.483 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821360.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821360.483 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.484 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.484 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545821360.485 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821360.485 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.485 * [misc]backup-simplify: Simplify 0 into 0 1545821360.485 * [misc]backup-simplify: Simplify 0 into 0 1545821360.485 * [misc]backup-simplify: Simplify 0 into 0 1545821360.485 * [misc]backup-simplify: Simplify 0 into 0 1545821360.486 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.489 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545821360.490 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821360.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821360.490 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.490 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.491 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545821360.493 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545821360.493 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.493 * [misc]backup-simplify: Simplify 0 into 0 1545821360.493 * [misc]backup-simplify: Simplify 0 into 0 1545821360.493 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545821360.493 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.493 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545821360.493 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.493 * [misc]taylor: Taking taylor expansion of k in k 1545821360.493 * [misc]backup-simplify: Simplify 0 into 0 1545821360.494 * [misc]backup-simplify: Simplify 1 into 1 1545821360.494 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.494 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.494 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821360.494 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821360.494 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.494 * [misc]backup-simplify: Simplify -2 into -2 1545821360.494 * [misc]taylor: Taking taylor expansion of n in k 1545821360.494 * [misc]backup-simplify: Simplify n into n 1545821360.494 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821360.494 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821360.494 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.494 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.494 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821360.494 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.494 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.494 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of k in n 1545821360.494 * [misc]backup-simplify: Simplify k into k 1545821360.494 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.494 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.494 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.494 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.495 * [misc]backup-simplify: Simplify -2 into -2 1545821360.495 * [misc]taylor: Taking taylor expansion of n in n 1545821360.495 * [misc]backup-simplify: Simplify 0 into 0 1545821360.495 * [misc]backup-simplify: Simplify 1 into 1 1545821360.495 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.495 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.495 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.495 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.495 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.495 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.495 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.496 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of k in n 1545821360.496 * [misc]backup-simplify: Simplify k into k 1545821360.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.496 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.496 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.496 * [misc]backup-simplify: Simplify -2 into -2 1545821360.496 * [misc]taylor: Taking taylor expansion of n in n 1545821360.496 * [misc]backup-simplify: Simplify 0 into 0 1545821360.496 * [misc]backup-simplify: Simplify 1 into 1 1545821360.496 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.496 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.496 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.496 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.496 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.497 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.497 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.497 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of k in k 1545821360.497 * [misc]backup-simplify: Simplify 0 into 0 1545821360.497 * [misc]backup-simplify: Simplify 1 into 1 1545821360.497 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.497 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.497 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.497 * [misc]backup-simplify: Simplify -2 into -2 1545821360.497 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.497 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821360.497 * [misc]taylor: Taking taylor expansion of n in k 1545821360.497 * [misc]backup-simplify: Simplify n into n 1545821360.497 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821360.497 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.498 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.498 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821360.498 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545821360.498 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545821360.498 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.498 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821360.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821360.500 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.500 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.501 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821360.501 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.501 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.501 * [misc]backup-simplify: Simplify 0 into 0 1545821360.501 * [misc]backup-simplify: Simplify 0 into 0 1545821360.502 * [misc]backup-simplify: Simplify 0 into 0 1545821360.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.504 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545821360.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821360.504 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821360.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.505 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.505 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545821360.506 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821360.506 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.506 * [misc]backup-simplify: Simplify 0 into 0 1545821360.506 * [misc]backup-simplify: Simplify 0 into 0 1545821360.506 * [misc]backup-simplify: Simplify 0 into 0 1545821360.506 * [misc]backup-simplify: Simplify 0 into 0 1545821360.507 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.510 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545821360.511 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821360.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821360.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.511 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.512 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545821360.515 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545821360.516 * [misc]taylor: Taking taylor expansion of 0 in k 1545821360.516 * [misc]backup-simplify: Simplify 0 into 0 1545821360.516 * [misc]backup-simplify: Simplify 0 into 0 1545821360.516 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545821360.516 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) 1545821360.516 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545821360.516 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545821360.516 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821360.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821360.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821360.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.517 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.517 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.517 * [misc]taylor: Taking taylor expansion of k in k 1545821360.517 * [misc]backup-simplify: Simplify 0 into 0 1545821360.517 * [misc]backup-simplify: Simplify 1 into 1 1545821360.517 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.517 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.517 * [misc]backup-simplify: Simplify PI into PI 1545821360.517 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.518 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.518 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.518 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.518 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.519 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821360.519 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821360.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821360.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821360.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.519 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.519 * [misc]taylor: Taking taylor expansion of k in k 1545821360.519 * [misc]backup-simplify: Simplify 0 into 0 1545821360.519 * [misc]backup-simplify: Simplify 1 into 1 1545821360.520 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.520 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.520 * [misc]backup-simplify: Simplify PI into PI 1545821360.520 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.520 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.520 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.520 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.521 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.522 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821360.522 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545821360.524 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821360.525 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821360.525 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.525 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.526 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545821360.529 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821360.530 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821360.535 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545821360.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.535 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.536 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.537 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545821360.542 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821360.544 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821360.547 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545821360.547 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.547 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545821360.547 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.547 * [misc]taylor: Taking taylor expansion of k in k 1545821360.547 * [misc]backup-simplify: Simplify 0 into 0 1545821360.547 * [misc]backup-simplify: Simplify 1 into 1 1545821360.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.547 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.548 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.548 * [misc]backup-simplify: Simplify PI into PI 1545821360.548 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.548 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.549 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821360.549 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.549 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821360.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821360.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.550 * [misc]taylor: Taking taylor expansion of k in k 1545821360.550 * [misc]backup-simplify: Simplify 0 into 0 1545821360.550 * [misc]backup-simplify: Simplify 1 into 1 1545821360.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.550 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.550 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.550 * [misc]backup-simplify: Simplify PI into PI 1545821360.550 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.550 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.551 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.551 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821360.551 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.552 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify 0 into 0 1545821360.552 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545821360.552 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.552 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545821360.552 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.552 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821360.552 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821360.552 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.552 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.553 * [misc]taylor: Taking taylor expansion of k in k 1545821360.553 * [misc]backup-simplify: Simplify 0 into 0 1545821360.553 * [misc]backup-simplify: Simplify 1 into 1 1545821360.553 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.553 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.553 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.553 * [misc]backup-simplify: Simplify PI into PI 1545821360.553 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.554 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.554 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.554 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.555 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.555 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.555 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of k in k 1545821360.555 * [misc]backup-simplify: Simplify 0 into 0 1545821360.555 * [misc]backup-simplify: Simplify 1 into 1 1545821360.555 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.555 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.555 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.555 * [misc]backup-simplify: Simplify PI into PI 1545821360.555 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.556 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.556 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.556 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.557 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.557 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify 0 into 0 1545821360.557 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545821360.557 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1545821360.558 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545821360.558 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545821360.558 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.558 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.558 * [misc]taylor: Taking taylor expansion of k in n 1545821360.558 * [misc]backup-simplify: Simplify k into k 1545821360.558 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.558 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.558 * [misc]backup-simplify: Simplify 2 into 2 1545821360.558 * [misc]taylor: Taking taylor expansion of n in n 1545821360.558 * [misc]backup-simplify: Simplify 0 into 0 1545821360.558 * [misc]backup-simplify: Simplify 1 into 1 1545821360.558 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.559 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.559 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.559 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821360.559 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821360.559 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821360.559 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.560 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821360.560 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821360.560 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545821360.560 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821360.560 * [misc]taylor: Taking taylor expansion of k in n 1545821360.561 * [misc]backup-simplify: Simplify k into k 1545821360.561 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821360.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821360.561 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.561 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.561 * [misc]taylor: Taking taylor expansion of k in k 1545821360.561 * [misc]backup-simplify: Simplify 0 into 0 1545821360.561 * [misc]backup-simplify: Simplify 1 into 1 1545821360.561 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821360.561 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.561 * [misc]backup-simplify: Simplify 2 into 2 1545821360.561 * [misc]taylor: Taking taylor expansion of n in k 1545821360.561 * [misc]backup-simplify: Simplify n into n 1545821360.561 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821360.561 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821360.562 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.562 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.562 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.562 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821360.562 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821360.562 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545821360.562 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821360.562 * [misc]taylor: Taking taylor expansion of k in k 1545821360.562 * [misc]backup-simplify: Simplify 0 into 0 1545821360.562 * [misc]backup-simplify: Simplify 1 into 1 1545821360.562 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.563 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.563 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.563 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.563 * [misc]taylor: Taking taylor expansion of k in k 1545821360.564 * [misc]backup-simplify: Simplify 0 into 0 1545821360.564 * [misc]backup-simplify: Simplify 1 into 1 1545821360.564 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821360.564 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821360.564 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.564 * [misc]backup-simplify: Simplify 2 into 2 1545821360.564 * [misc]taylor: Taking taylor expansion of n in k 1545821360.564 * [misc]backup-simplify: Simplify n into n 1545821360.564 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821360.564 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821360.564 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.564 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.564 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.564 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821360.565 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821360.565 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545821360.565 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821360.565 * [misc]taylor: Taking taylor expansion of k in k 1545821360.565 * [misc]backup-simplify: Simplify 0 into 0 1545821360.565 * [misc]backup-simplify: Simplify 1 into 1 1545821360.565 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.565 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.566 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545821360.566 * [misc]taylor: Taking taylor expansion of 0 in n 1545821360.566 * [misc]backup-simplify: Simplify 0 into 0 1545821360.566 * [misc]backup-simplify: Simplify 0 into 0 1545821360.566 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545821360.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545821360.567 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821360.567 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.567 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.568 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545821360.568 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545821360.568 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545821360.569 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545821360.570 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545821360.570 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545821360.570 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.570 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.570 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545821360.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821360.570 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821360.570 * [misc]taylor: Taking taylor expansion of n in n 1545821360.570 * [misc]backup-simplify: Simplify 0 into 0 1545821360.570 * [misc]backup-simplify: Simplify 1 into 1 1545821360.570 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.571 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.571 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821360.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.571 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821360.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821360.572 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.572 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821360.573 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545821360.574 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.575 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.576 * [misc]backup-simplify: Simplify 0 into 0 1545821360.577 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545821360.579 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545821360.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.579 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.580 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545821360.581 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545821360.583 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545821360.586 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545821360.586 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545821360.586 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.587 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.587 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.587 * [misc]backup-simplify: Simplify 2 into 2 1545821360.587 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.587 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.587 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.587 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.587 * [misc]backup-simplify: Simplify 2 into 2 1545821360.587 * [misc]taylor: Taking taylor expansion of n in n 1545821360.587 * [misc]backup-simplify: Simplify 0 into 0 1545821360.587 * [misc]backup-simplify: Simplify 1 into 1 1545821360.588 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.588 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.588 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.588 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545821360.588 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821360.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.588 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821360.588 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821360.589 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821360.589 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821360.589 * [misc]taylor: Taking taylor expansion of n in n 1545821360.589 * [misc]backup-simplify: Simplify 0 into 0 1545821360.589 * [misc]backup-simplify: Simplify 1 into 1 1545821360.589 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.589 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.589 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.589 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545821360.589 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545821360.590 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.590 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.590 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545821360.590 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821360.590 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821360.590 * [misc]taylor: Taking taylor expansion of n in n 1545821360.590 * [misc]backup-simplify: Simplify 0 into 0 1545821360.590 * [misc]backup-simplify: Simplify 1 into 1 1545821360.590 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.590 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.590 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.591 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821360.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.591 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821360.591 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821360.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.592 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545821360.592 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545821360.593 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545821360.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.594 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545821360.594 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.597 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.598 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545821360.599 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545821360.600 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545821360.601 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545821360.604 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545821360.605 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.605 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821360.606 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545821360.607 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.611 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545821360.615 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545821360.618 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545821360.620 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545821360.620 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821360.621 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.622 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.624 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.624 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.625 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821360.630 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545821360.631 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545821360.631 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545821360.631 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.631 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.631 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.631 * [misc]taylor: Taking taylor expansion of k in n 1545821360.631 * [misc]backup-simplify: Simplify k into k 1545821360.631 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.632 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.632 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.632 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.632 * [misc]backup-simplify: Simplify 2 into 2 1545821360.632 * [misc]taylor: Taking taylor expansion of n in n 1545821360.632 * [misc]backup-simplify: Simplify 0 into 0 1545821360.632 * [misc]backup-simplify: Simplify 1 into 1 1545821360.632 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.632 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.632 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.632 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.632 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.633 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.633 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.634 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.634 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821360.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.634 * [misc]taylor: Taking taylor expansion of k in n 1545821360.634 * [misc]backup-simplify: Simplify k into k 1545821360.634 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.634 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821360.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821360.634 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.635 * [misc]taylor: Taking taylor expansion of k in k 1545821360.635 * [misc]backup-simplify: Simplify 0 into 0 1545821360.635 * [misc]backup-simplify: Simplify 1 into 1 1545821360.635 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.635 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821360.635 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821360.635 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.635 * [misc]backup-simplify: Simplify 2 into 2 1545821360.635 * [misc]taylor: Taking taylor expansion of n in k 1545821360.635 * [misc]backup-simplify: Simplify n into n 1545821360.635 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821360.635 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821360.635 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.636 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.636 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.636 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821360.636 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.636 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821360.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821360.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.636 * [misc]taylor: Taking taylor expansion of k in k 1545821360.636 * [misc]backup-simplify: Simplify 0 into 0 1545821360.636 * [misc]backup-simplify: Simplify 1 into 1 1545821360.637 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.637 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.637 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.637 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821360.637 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821360.637 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.637 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821360.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of k in k 1545821360.638 * [misc]backup-simplify: Simplify 0 into 0 1545821360.638 * [misc]backup-simplify: Simplify 1 into 1 1545821360.638 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.638 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821360.638 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.638 * [misc]backup-simplify: Simplify 2 into 2 1545821360.638 * [misc]taylor: Taking taylor expansion of n in k 1545821360.638 * [misc]backup-simplify: Simplify n into n 1545821360.638 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821360.638 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821360.638 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.639 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.639 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.639 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821360.639 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.639 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821360.639 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821360.639 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.639 * [misc]taylor: Taking taylor expansion of k in k 1545821360.639 * [misc]backup-simplify: Simplify 0 into 0 1545821360.639 * [misc]backup-simplify: Simplify 1 into 1 1545821360.640 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.640 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.640 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.640 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545821360.640 * [misc]taylor: Taking taylor expansion of 0 in n 1545821360.641 * [misc]backup-simplify: Simplify 0 into 0 1545821360.641 * [misc]backup-simplify: Simplify 0 into 0 1545821360.641 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821360.641 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.641 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.641 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.641 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.641 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.641 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.641 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of k in n 1545821360.642 * [misc]backup-simplify: Simplify k into k 1545821360.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.642 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.642 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.642 * [misc]backup-simplify: Simplify 2 into 2 1545821360.642 * [misc]taylor: Taking taylor expansion of n in n 1545821360.642 * [misc]backup-simplify: Simplify 0 into 0 1545821360.642 * [misc]backup-simplify: Simplify 1 into 1 1545821360.642 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.642 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.643 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.643 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.643 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.643 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.644 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.644 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.645 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.645 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.646 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.646 * [misc]backup-simplify: Simplify 0 into 0 1545821360.646 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821360.647 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.648 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821360.648 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.648 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.648 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.648 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.649 * [misc]taylor: Taking taylor expansion of k in n 1545821360.649 * [misc]backup-simplify: Simplify k into k 1545821360.649 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.649 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.649 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.649 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.649 * [misc]backup-simplify: Simplify 2 into 2 1545821360.649 * [misc]taylor: Taking taylor expansion of n in n 1545821360.649 * [misc]backup-simplify: Simplify 0 into 0 1545821360.649 * [misc]backup-simplify: Simplify 1 into 1 1545821360.649 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.649 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.649 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.649 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.649 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.650 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.650 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.651 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.651 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.651 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.652 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821360.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.654 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.655 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.656 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821360.657 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545821360.658 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545821360.658 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.658 * [misc]backup-simplify: Simplify 0 into 0 1545821360.658 * [misc]backup-simplify: Simplify 0 into 0 1545821360.658 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.659 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821360.660 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821360.660 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.661 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.661 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.661 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.661 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.661 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of k in n 1545821360.661 * [misc]backup-simplify: Simplify k into k 1545821360.661 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.661 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.661 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.661 * [misc]backup-simplify: Simplify 2 into 2 1545821360.661 * [misc]taylor: Taking taylor expansion of n in n 1545821360.661 * [misc]backup-simplify: Simplify 0 into 0 1545821360.661 * [misc]backup-simplify: Simplify 1 into 1 1545821360.661 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.662 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.662 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.662 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.662 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.662 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.662 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.663 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.663 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.663 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.664 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.664 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.666 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545821360.666 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.666 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545821360.666 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.666 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821360.666 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821360.666 * [misc]taylor: Taking taylor expansion of -1 in n 1545821360.666 * [misc]backup-simplify: Simplify -1 into -1 1545821360.666 * [misc]taylor: Taking taylor expansion of k in n 1545821360.666 * [misc]backup-simplify: Simplify k into k 1545821360.666 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821360.666 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821360.666 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821360.666 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821360.667 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of k in n 1545821360.667 * [misc]backup-simplify: Simplify k into k 1545821360.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.667 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.667 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.667 * [misc]backup-simplify: Simplify -2 into -2 1545821360.667 * [misc]taylor: Taking taylor expansion of n in n 1545821360.667 * [misc]backup-simplify: Simplify 0 into 0 1545821360.667 * [misc]backup-simplify: Simplify 1 into 1 1545821360.667 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.667 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.667 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.668 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.668 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.669 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.669 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.669 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821360.669 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821360.669 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821360.669 * [misc]taylor: Taking taylor expansion of -1 in k 1545821360.669 * [misc]backup-simplify: Simplify -1 into -1 1545821360.669 * [misc]taylor: Taking taylor expansion of k in k 1545821360.669 * [misc]backup-simplify: Simplify 0 into 0 1545821360.669 * [misc]backup-simplify: Simplify 1 into 1 1545821360.669 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821360.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.670 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821360.670 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.670 * [misc]taylor: Taking taylor expansion of k in k 1545821360.670 * [misc]backup-simplify: Simplify 0 into 0 1545821360.670 * [misc]backup-simplify: Simplify 1 into 1 1545821360.671 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.671 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821360.671 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821360.671 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.671 * [misc]backup-simplify: Simplify -2 into -2 1545821360.671 * [misc]taylor: Taking taylor expansion of n in k 1545821360.671 * [misc]backup-simplify: Simplify n into n 1545821360.671 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821360.671 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821360.671 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.671 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.671 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821360.671 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.672 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.672 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821360.672 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821360.672 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821360.672 * [misc]taylor: Taking taylor expansion of -1 in k 1545821360.672 * [misc]backup-simplify: Simplify -1 into -1 1545821360.672 * [misc]taylor: Taking taylor expansion of k in k 1545821360.672 * [misc]backup-simplify: Simplify 0 into 0 1545821360.672 * [misc]backup-simplify: Simplify 1 into 1 1545821360.672 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821360.672 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.673 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821360.673 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of k in k 1545821360.673 * [misc]backup-simplify: Simplify 0 into 0 1545821360.673 * [misc]backup-simplify: Simplify 1 into 1 1545821360.673 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.673 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.673 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821360.673 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.673 * [misc]backup-simplify: Simplify -2 into -2 1545821360.673 * [misc]taylor: Taking taylor expansion of n in k 1545821360.673 * [misc]backup-simplify: Simplify n into n 1545821360.673 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821360.673 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821360.673 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.674 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.674 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821360.674 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.674 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.674 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.674 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.674 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.674 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.674 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.674 * [misc]taylor: Taking taylor expansion of k in n 1545821360.674 * [misc]backup-simplify: Simplify k into k 1545821360.675 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.675 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.675 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.675 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.675 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.675 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.675 * [misc]backup-simplify: Simplify -2 into -2 1545821360.675 * [misc]taylor: Taking taylor expansion of n in n 1545821360.675 * [misc]backup-simplify: Simplify 0 into 0 1545821360.675 * [misc]backup-simplify: Simplify 1 into 1 1545821360.675 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.675 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.675 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.675 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.676 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.676 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.676 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.676 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.677 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.677 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821360.678 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.678 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.679 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.679 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.679 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of k in n 1545821360.679 * [misc]backup-simplify: Simplify k into k 1545821360.679 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.679 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.679 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.679 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.679 * [misc]backup-simplify: Simplify -2 into -2 1545821360.679 * [misc]taylor: Taking taylor expansion of n in n 1545821360.679 * [misc]backup-simplify: Simplify 0 into 0 1545821360.679 * [misc]backup-simplify: Simplify 1 into 1 1545821360.679 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.680 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.680 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.680 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.680 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.680 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.681 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.681 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.681 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.682 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821360.682 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821360.682 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821360.684 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821360.685 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.685 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.685 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.686 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821360.687 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.688 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545821360.688 * [misc]backup-simplify: Simplify 0 into 0 1545821360.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.690 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821360.691 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.691 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.691 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.691 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of k in n 1545821360.691 * [misc]backup-simplify: Simplify k into k 1545821360.691 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.691 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.691 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.691 * [misc]backup-simplify: Simplify -2 into -2 1545821360.691 * [misc]taylor: Taking taylor expansion of n in n 1545821360.691 * [misc]backup-simplify: Simplify 0 into 0 1545821360.691 * [misc]backup-simplify: Simplify 1 into 1 1545821360.692 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.692 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.692 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.692 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.693 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.693 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.693 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.694 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.694 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821360.695 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821360.695 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821360.697 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545821360.697 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545821360.698 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545821360.698 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545821360.698 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.698 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.698 * [misc]taylor: Taking taylor expansion of k in n 1545821360.698 * [misc]backup-simplify: Simplify k into k 1545821360.698 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.698 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.698 * [misc]backup-simplify: Simplify 2 into 2 1545821360.699 * [misc]taylor: Taking taylor expansion of n in n 1545821360.699 * [misc]backup-simplify: Simplify 0 into 0 1545821360.699 * [misc]backup-simplify: Simplify 1 into 1 1545821360.699 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.699 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.699 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.699 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821360.699 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821360.700 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821360.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.700 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821360.700 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821360.701 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.701 * [misc]taylor: Taking taylor expansion of k in n 1545821360.701 * [misc]backup-simplify: Simplify k into k 1545821360.701 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.701 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.701 * [misc]backup-simplify: Simplify PI into PI 1545821360.701 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.701 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821360.702 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821360.702 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821360.702 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545821360.702 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545821360.702 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821360.702 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.702 * [misc]taylor: Taking taylor expansion of k in n 1545821360.702 * [misc]backup-simplify: Simplify k into k 1545821360.703 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.703 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821360.703 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821360.703 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.703 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.703 * [misc]taylor: Taking taylor expansion of k in k 1545821360.703 * [misc]backup-simplify: Simplify 0 into 0 1545821360.703 * [misc]backup-simplify: Simplify 1 into 1 1545821360.703 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821360.703 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.703 * [misc]backup-simplify: Simplify 2 into 2 1545821360.703 * [misc]taylor: Taking taylor expansion of n in k 1545821360.703 * [misc]backup-simplify: Simplify n into n 1545821360.704 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821360.704 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821360.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.704 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.704 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821360.704 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821360.704 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821360.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821360.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821360.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.705 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.705 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.705 * [misc]taylor: Taking taylor expansion of k in k 1545821360.705 * [misc]backup-simplify: Simplify 0 into 0 1545821360.705 * [misc]backup-simplify: Simplify 1 into 1 1545821360.705 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.705 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.705 * [misc]backup-simplify: Simplify PI into PI 1545821360.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.705 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.705 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.706 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.706 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.707 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821360.707 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821360.707 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.707 * [misc]taylor: Taking taylor expansion of k in k 1545821360.707 * [misc]backup-simplify: Simplify 0 into 0 1545821360.707 * [misc]backup-simplify: Simplify 1 into 1 1545821360.707 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.708 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.708 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.708 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.708 * [misc]taylor: Taking taylor expansion of k in k 1545821360.708 * [misc]backup-simplify: Simplify 0 into 0 1545821360.708 * [misc]backup-simplify: Simplify 1 into 1 1545821360.708 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821360.708 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.708 * [misc]backup-simplify: Simplify 2 into 2 1545821360.708 * [misc]taylor: Taking taylor expansion of n in k 1545821360.708 * [misc]backup-simplify: Simplify n into n 1545821360.708 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821360.708 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821360.709 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.709 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.709 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.709 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821360.709 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821360.709 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821360.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821360.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821360.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821360.709 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.709 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821360.709 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.709 * [misc]taylor: Taking taylor expansion of k in k 1545821360.709 * [misc]backup-simplify: Simplify 0 into 0 1545821360.709 * [misc]backup-simplify: Simplify 1 into 1 1545821360.709 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.710 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.710 * [misc]backup-simplify: Simplify PI into PI 1545821360.710 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.710 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821360.710 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.710 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.711 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.711 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821360.711 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821360.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.711 * [misc]taylor: Taking taylor expansion of k in k 1545821360.711 * [misc]backup-simplify: Simplify 0 into 0 1545821360.711 * [misc]backup-simplify: Simplify 1 into 1 1545821360.712 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.712 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.713 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545821360.713 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545821360.713 * [misc]taylor: Taking taylor expansion of 0 in n 1545821360.713 * [misc]backup-simplify: Simplify 0 into 0 1545821360.713 * [misc]backup-simplify: Simplify 0 into 0 1545821360.715 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821360.715 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821360.715 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.716 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545821360.720 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821360.720 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545821360.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545821360.721 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821360.721 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.721 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545821360.722 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545821360.724 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545821360.725 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545821360.725 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545821360.725 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821360.725 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.725 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.725 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821360.725 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.725 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.725 * [misc]backup-simplify: Simplify 2 into 2 1545821360.726 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.726 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821360.726 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821360.726 * [misc]taylor: Taking taylor expansion of n in n 1545821360.726 * [misc]backup-simplify: Simplify 0 into 0 1545821360.726 * [misc]backup-simplify: Simplify 1 into 1 1545821360.726 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.726 * [misc]backup-simplify: Simplify PI into PI 1545821360.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821360.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821360.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.728 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.728 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821360.728 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.728 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.728 * [misc]backup-simplify: Simplify 0 into 0 1545821360.728 * [misc]backup-simplify: Simplify 0 into 0 1545821360.729 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821360.730 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.734 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545821360.734 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.735 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.738 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545821360.742 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821360.742 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545821360.744 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545821360.744 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.744 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545821360.747 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545821360.750 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545821360.753 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545821360.753 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.753 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.753 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.753 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.753 * [misc]backup-simplify: Simplify 2 into 2 1545821360.753 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.753 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.753 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.754 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.754 * [misc]backup-simplify: Simplify PI into PI 1545821360.754 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.754 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.754 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.754 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.754 * [misc]backup-simplify: Simplify PI into PI 1545821360.754 * [misc]taylor: Taking taylor expansion of n in n 1545821360.754 * [misc]backup-simplify: Simplify 0 into 0 1545821360.754 * [misc]backup-simplify: Simplify 1 into 1 1545821360.754 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.754 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.754 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.755 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.755 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.755 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.755 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.755 * [misc]backup-simplify: Simplify 2 into 2 1545821360.755 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.755 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.755 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821360.755 * [misc]taylor: Taking taylor expansion of n in n 1545821360.755 * [misc]backup-simplify: Simplify 0 into 0 1545821360.755 * [misc]backup-simplify: Simplify 1 into 1 1545821360.755 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.755 * [misc]backup-simplify: Simplify PI into PI 1545821360.755 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821360.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821360.756 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.756 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.756 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545821360.756 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545821360.756 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.756 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.756 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545821360.756 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545821360.756 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.756 * [misc]backup-simplify: Simplify 2 into 2 1545821360.756 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.757 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.757 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.757 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.757 * [misc]backup-simplify: Simplify 2 into 2 1545821360.757 * [misc]taylor: Taking taylor expansion of n in n 1545821360.757 * [misc]backup-simplify: Simplify 0 into 0 1545821360.757 * [misc]backup-simplify: Simplify 1 into 1 1545821360.757 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.757 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.757 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.757 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.757 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.757 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.757 * [misc]backup-simplify: Simplify PI into PI 1545821360.757 * [misc]taylor: Taking taylor expansion of n in n 1545821360.757 * [misc]backup-simplify: Simplify 0 into 0 1545821360.757 * [misc]backup-simplify: Simplify 1 into 1 1545821360.757 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.758 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.758 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.758 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.758 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545821360.759 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545821360.759 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.759 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821360.759 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.760 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545821360.760 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.761 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.761 * [misc]backup-simplify: Simplify 0 into 0 1545821360.761 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.762 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.763 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.764 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.764 * [misc]backup-simplify: Simplify 0 into 0 1545821360.764 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.765 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821360.769 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545821360.769 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821360.769 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.769 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545821360.774 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545821360.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545821360.776 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545821360.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821360.777 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545821360.779 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545821360.785 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545821360.794 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545821360.794 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545821360.794 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545821360.794 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545821360.794 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.795 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.795 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545821360.795 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545821360.795 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.795 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.795 * [misc]backup-simplify: Simplify 2 into 2 1545821360.795 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.795 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.795 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.795 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.795 * [misc]backup-simplify: Simplify PI into PI 1545821360.795 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.795 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.796 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.796 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.796 * [misc]backup-simplify: Simplify PI into PI 1545821360.796 * [misc]taylor: Taking taylor expansion of n in n 1545821360.796 * [misc]backup-simplify: Simplify 0 into 0 1545821360.796 * [misc]backup-simplify: Simplify 1 into 1 1545821360.796 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.796 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.797 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.797 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.797 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545821360.797 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.798 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.798 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.798 * [misc]backup-simplify: Simplify 2 into 2 1545821360.798 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.798 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.798 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.798 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.798 * [misc]backup-simplify: Simplify PI into PI 1545821360.799 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.799 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.799 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.799 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.799 * [misc]backup-simplify: Simplify PI into PI 1545821360.799 * [misc]taylor: Taking taylor expansion of n in n 1545821360.799 * [misc]backup-simplify: Simplify 0 into 0 1545821360.799 * [misc]backup-simplify: Simplify 1 into 1 1545821360.799 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.800 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.800 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.800 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.800 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545821360.800 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545821360.800 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545821360.800 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.800 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.800 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545821360.800 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545821360.800 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.801 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.801 * [misc]backup-simplify: Simplify 2 into 2 1545821360.801 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.801 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.801 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545821360.801 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.801 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.801 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.801 * [misc]backup-simplify: Simplify 2 into 2 1545821360.801 * [misc]taylor: Taking taylor expansion of n in n 1545821360.801 * [misc]backup-simplify: Simplify 0 into 0 1545821360.801 * [misc]backup-simplify: Simplify 1 into 1 1545821360.801 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.801 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.802 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.802 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.802 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.802 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.802 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.802 * [misc]backup-simplify: Simplify PI into PI 1545821360.802 * [misc]taylor: Taking taylor expansion of n in n 1545821360.802 * [misc]backup-simplify: Simplify 0 into 0 1545821360.802 * [misc]backup-simplify: Simplify 1 into 1 1545821360.802 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.803 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.804 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.804 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.804 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.804 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.804 * [misc]backup-simplify: Simplify 2 into 2 1545821360.804 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.804 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.804 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.804 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.805 * [misc]backup-simplify: Simplify 2 into 2 1545821360.805 * [misc]taylor: Taking taylor expansion of n in n 1545821360.805 * [misc]backup-simplify: Simplify 0 into 0 1545821360.805 * [misc]backup-simplify: Simplify 1 into 1 1545821360.805 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.805 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.805 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.805 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.805 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.805 * [misc]backup-simplify: Simplify PI into PI 1545821360.805 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.805 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821360.805 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821360.806 * [misc]taylor: Taking taylor expansion of n in n 1545821360.806 * [misc]backup-simplify: Simplify 0 into 0 1545821360.806 * [misc]backup-simplify: Simplify 1 into 1 1545821360.806 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.806 * [misc]backup-simplify: Simplify PI into PI 1545821360.806 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821360.806 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821360.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.807 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.807 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545821360.807 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545821360.807 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821360.807 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.807 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.807 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821360.807 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.807 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.807 * [misc]backup-simplify: Simplify 2 into 2 1545821360.808 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.808 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821360.808 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821360.808 * [misc]taylor: Taking taylor expansion of n in n 1545821360.808 * [misc]backup-simplify: Simplify 0 into 0 1545821360.808 * [misc]backup-simplify: Simplify 1 into 1 1545821360.808 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.808 * [misc]backup-simplify: Simplify PI into PI 1545821360.808 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821360.809 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821360.809 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.809 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.809 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545821360.809 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.810 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.810 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.810 * [misc]backup-simplify: Simplify 2 into 2 1545821360.810 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821360.810 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821360.810 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.810 * [misc]backup-simplify: Simplify 2 into 2 1545821360.810 * [misc]taylor: Taking taylor expansion of n in n 1545821360.810 * [misc]backup-simplify: Simplify 0 into 0 1545821360.810 * [misc]backup-simplify: Simplify 1 into 1 1545821360.810 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821360.810 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821360.810 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.810 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821360.810 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.810 * [misc]backup-simplify: Simplify PI into PI 1545821360.810 * [misc]taylor: Taking taylor expansion of n in n 1545821360.810 * [misc]backup-simplify: Simplify 0 into 0 1545821360.810 * [misc]backup-simplify: Simplify 1 into 1 1545821360.811 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821360.811 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821360.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.811 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821360.812 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545821360.812 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545821360.813 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.813 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545821360.814 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545821360.814 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545821360.814 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.815 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.815 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.815 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545821360.815 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545821360.816 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545821360.816 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.816 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.816 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545821360.817 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545821360.817 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545821360.817 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.817 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821360.817 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.818 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.818 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545821360.818 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545821360.818 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821360.818 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.819 * [misc]backup-simplify: Simplify 0 into 0 1545821360.821 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821360.821 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545821360.822 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545821360.824 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545821360.825 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.826 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821360.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821360.827 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.827 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821360.828 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545821360.828 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821360.829 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821360.831 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821360.832 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821360.834 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821360.837 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821360.841 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821360.845 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821360.846 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821360.847 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545821360.847 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545821360.852 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821360.856 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821360.857 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821360.859 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821360.865 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545821360.865 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545821360.865 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545821360.865 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of k in n 1545821360.865 * [misc]backup-simplify: Simplify k into k 1545821360.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.865 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.865 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.865 * [misc]backup-simplify: Simplify PI into PI 1545821360.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.866 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.866 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.866 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.866 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821360.866 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.866 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.866 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.866 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.866 * [misc]taylor: Taking taylor expansion of k in n 1545821360.866 * [misc]backup-simplify: Simplify k into k 1545821360.866 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.867 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.867 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.867 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.867 * [misc]backup-simplify: Simplify 2 into 2 1545821360.867 * [misc]taylor: Taking taylor expansion of n in n 1545821360.867 * [misc]backup-simplify: Simplify 0 into 0 1545821360.867 * [misc]backup-simplify: Simplify 1 into 1 1545821360.867 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.867 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.867 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.867 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.867 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.867 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.868 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.868 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821360.868 * [misc]taylor: Taking taylor expansion of k in n 1545821360.868 * [misc]backup-simplify: Simplify k into k 1545821360.868 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821360.868 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821360.868 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of k in k 1545821360.868 * [misc]backup-simplify: Simplify 0 into 0 1545821360.868 * [misc]backup-simplify: Simplify 1 into 1 1545821360.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.868 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.868 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.868 * [misc]backup-simplify: Simplify PI into PI 1545821360.868 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.869 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.869 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.869 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821360.869 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.869 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.869 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821360.869 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821360.869 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.870 * [misc]taylor: Taking taylor expansion of k in k 1545821360.870 * [misc]backup-simplify: Simplify 0 into 0 1545821360.870 * [misc]backup-simplify: Simplify 1 into 1 1545821360.870 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.870 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821360.870 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821360.870 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.870 * [misc]backup-simplify: Simplify 2 into 2 1545821360.870 * [misc]taylor: Taking taylor expansion of n in k 1545821360.870 * [misc]backup-simplify: Simplify n into n 1545821360.870 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821360.870 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821360.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.870 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.871 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821360.871 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.871 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of k in k 1545821360.871 * [misc]backup-simplify: Simplify 0 into 0 1545821360.871 * [misc]backup-simplify: Simplify 1 into 1 1545821360.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.871 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.871 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.871 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.871 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.871 * [misc]taylor: Taking taylor expansion of k in k 1545821360.871 * [misc]backup-simplify: Simplify 0 into 0 1545821360.871 * [misc]backup-simplify: Simplify 1 into 1 1545821360.872 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.872 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.872 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.872 * [misc]backup-simplify: Simplify PI into PI 1545821360.872 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.872 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.872 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.872 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.872 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821360.873 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.873 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.873 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of k in k 1545821360.873 * [misc]backup-simplify: Simplify 0 into 0 1545821360.873 * [misc]backup-simplify: Simplify 1 into 1 1545821360.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.873 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821360.873 * [misc]taylor: Taking taylor expansion of 2 in k 1545821360.873 * [misc]backup-simplify: Simplify 2 into 2 1545821360.873 * [misc]taylor: Taking taylor expansion of n in k 1545821360.873 * [misc]backup-simplify: Simplify n into n 1545821360.873 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821360.873 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821360.873 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.873 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821360.874 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821360.874 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821360.874 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.874 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821360.874 * [misc]taylor: Taking taylor expansion of k in k 1545821360.874 * [misc]backup-simplify: Simplify 0 into 0 1545821360.874 * [misc]backup-simplify: Simplify 1 into 1 1545821360.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.874 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821360.874 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821360.875 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545821360.875 * [misc]taylor: Taking taylor expansion of 0 in n 1545821360.875 * [misc]backup-simplify: Simplify 0 into 0 1545821360.875 * [misc]backup-simplify: Simplify 0 into 0 1545821360.875 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545821360.875 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.875 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.875 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.875 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.875 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.875 * [misc]taylor: Taking taylor expansion of k in n 1545821360.875 * [misc]backup-simplify: Simplify k into k 1545821360.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.876 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.876 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.876 * [misc]backup-simplify: Simplify PI into PI 1545821360.876 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.876 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.876 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.876 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.876 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821360.876 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.876 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.876 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.876 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.876 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.877 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.877 * [misc]taylor: Taking taylor expansion of k in n 1545821360.877 * [misc]backup-simplify: Simplify k into k 1545821360.877 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.877 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.877 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.877 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.877 * [misc]backup-simplify: Simplify 2 into 2 1545821360.877 * [misc]taylor: Taking taylor expansion of n in n 1545821360.877 * [misc]backup-simplify: Simplify 0 into 0 1545821360.877 * [misc]backup-simplify: Simplify 1 into 1 1545821360.877 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.877 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.877 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.877 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.877 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.878 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.878 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.878 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.878 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821360.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.879 * [misc]backup-simplify: Simplify 0 into 0 1545821360.880 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.880 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545821360.880 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.880 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.880 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.881 * [misc]taylor: Taking taylor expansion of k in n 1545821360.881 * [misc]backup-simplify: Simplify k into k 1545821360.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.881 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.881 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.881 * [misc]backup-simplify: Simplify PI into PI 1545821360.881 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.881 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.881 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.881 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.881 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821360.881 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.882 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of k in n 1545821360.882 * [misc]backup-simplify: Simplify k into k 1545821360.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.882 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.882 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.882 * [misc]backup-simplify: Simplify 2 into 2 1545821360.882 * [misc]taylor: Taking taylor expansion of n in n 1545821360.882 * [misc]backup-simplify: Simplify 0 into 0 1545821360.882 * [misc]backup-simplify: Simplify 1 into 1 1545821360.882 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.882 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.882 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.882 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.882 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.882 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.883 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.883 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.883 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.883 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821360.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821360.886 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821360.886 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.886 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.887 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821360.887 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.889 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821360.889 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.889 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.890 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545821360.890 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.891 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545821360.891 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545821360.891 * [misc]backup-simplify: Simplify (- 0) into 0 1545821360.891 * [misc]backup-simplify: Simplify 0 into 0 1545821360.891 * [misc]backup-simplify: Simplify 0 into 0 1545821360.892 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821360.892 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821360.893 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821360.893 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.893 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.893 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of k in n 1545821360.893 * [misc]backup-simplify: Simplify k into k 1545821360.893 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.893 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.893 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.893 * [misc]backup-simplify: Simplify PI into PI 1545821360.893 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.893 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.893 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.893 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.894 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821360.894 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821360.894 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.894 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of k in n 1545821360.894 * [misc]backup-simplify: Simplify k into k 1545821360.894 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.894 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821360.894 * [misc]taylor: Taking taylor expansion of 2 in n 1545821360.894 * [misc]backup-simplify: Simplify 2 into 2 1545821360.894 * [misc]taylor: Taking taylor expansion of n in n 1545821360.894 * [misc]backup-simplify: Simplify 0 into 0 1545821360.894 * [misc]backup-simplify: Simplify 1 into 1 1545821360.894 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821360.894 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821360.894 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.895 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821360.895 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821360.895 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821360.895 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821360.895 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821360.895 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821360.896 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821360.896 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.896 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821360.898 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545821360.898 * [misc]backup-simplify: Simplify (/ 1 (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545821360.898 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545821360.898 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.899 * [misc]taylor: Taking taylor expansion of k in n 1545821360.899 * [misc]backup-simplify: Simplify k into k 1545821360.899 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.899 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.899 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.899 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.899 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.899 * [misc]backup-simplify: Simplify -2 into -2 1545821360.899 * [misc]taylor: Taking taylor expansion of n in n 1545821360.899 * [misc]backup-simplify: Simplify 0 into 0 1545821360.899 * [misc]backup-simplify: Simplify 1 into 1 1545821360.899 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.899 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.899 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.899 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.899 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.899 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.900 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.900 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of k in n 1545821360.900 * [misc]backup-simplify: Simplify k into k 1545821360.900 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.900 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.900 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.900 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.900 * [misc]backup-simplify: Simplify PI into PI 1545821360.900 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.900 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.900 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.901 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821360.901 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.901 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821360.901 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821360.901 * [misc]taylor: Taking taylor expansion of -1 in n 1545821360.901 * [misc]backup-simplify: Simplify -1 into -1 1545821360.901 * [misc]taylor: Taking taylor expansion of k in n 1545821360.901 * [misc]backup-simplify: Simplify k into k 1545821360.901 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821360.901 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821360.901 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821360.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821360.901 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.902 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545821360.902 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of k in k 1545821360.902 * [misc]backup-simplify: Simplify 0 into 0 1545821360.902 * [misc]backup-simplify: Simplify 1 into 1 1545821360.902 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.902 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821360.902 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.902 * [misc]backup-simplify: Simplify -2 into -2 1545821360.902 * [misc]taylor: Taking taylor expansion of n in k 1545821360.902 * [misc]backup-simplify: Simplify n into n 1545821360.902 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821360.902 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821360.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.902 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.903 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821360.903 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.903 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.903 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of k in k 1545821360.903 * [misc]backup-simplify: Simplify 0 into 0 1545821360.903 * [misc]backup-simplify: Simplify 1 into 1 1545821360.903 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.903 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.903 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.903 * [misc]backup-simplify: Simplify PI into PI 1545821360.903 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.903 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.903 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.904 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.904 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821360.904 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821360.904 * [misc]taylor: Taking taylor expansion of -1 in k 1545821360.904 * [misc]backup-simplify: Simplify -1 into -1 1545821360.904 * [misc]taylor: Taking taylor expansion of k in k 1545821360.904 * [misc]backup-simplify: Simplify 0 into 0 1545821360.904 * [misc]backup-simplify: Simplify 1 into 1 1545821360.904 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821360.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.904 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821360.905 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.905 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.905 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of k in k 1545821360.905 * [misc]backup-simplify: Simplify 0 into 0 1545821360.905 * [misc]backup-simplify: Simplify 1 into 1 1545821360.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.905 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821360.905 * [misc]taylor: Taking taylor expansion of -2 in k 1545821360.905 * [misc]backup-simplify: Simplify -2 into -2 1545821360.905 * [misc]taylor: Taking taylor expansion of n in k 1545821360.905 * [misc]backup-simplify: Simplify n into n 1545821360.905 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821360.905 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821360.905 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.906 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.906 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821360.906 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.906 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of k in k 1545821360.906 * [misc]backup-simplify: Simplify 0 into 0 1545821360.906 * [misc]backup-simplify: Simplify 1 into 1 1545821360.906 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821360.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821360.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.906 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821360.906 * [misc]taylor: Taking taylor expansion of PI in k 1545821360.906 * [misc]backup-simplify: Simplify PI into PI 1545821360.906 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.906 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821360.907 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821360.907 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821360.907 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.907 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821360.907 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821360.907 * [misc]taylor: Taking taylor expansion of -1 in k 1545821360.907 * [misc]backup-simplify: Simplify -1 into -1 1545821360.907 * [misc]taylor: Taking taylor expansion of k in k 1545821360.907 * [misc]backup-simplify: Simplify 0 into 0 1545821360.907 * [misc]backup-simplify: Simplify 1 into 1 1545821360.907 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821360.907 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821360.908 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821360.908 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.908 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.908 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.908 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.908 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of k in n 1545821360.908 * [misc]backup-simplify: Simplify k into k 1545821360.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.908 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.908 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.908 * [misc]backup-simplify: Simplify -2 into -2 1545821360.908 * [misc]taylor: Taking taylor expansion of n in n 1545821360.908 * [misc]backup-simplify: Simplify 0 into 0 1545821360.908 * [misc]backup-simplify: Simplify 1 into 1 1545821360.909 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.909 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.909 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.909 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.910 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.910 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of k in n 1545821360.910 * [misc]backup-simplify: Simplify k into k 1545821360.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.910 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.910 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.910 * [misc]backup-simplify: Simplify PI into PI 1545821360.910 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.910 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.911 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821360.911 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.911 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.911 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.912 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.912 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545821360.912 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821360.913 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821360.913 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.913 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.913 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.913 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.914 * [misc]taylor: Taking taylor expansion of k in n 1545821360.914 * [misc]backup-simplify: Simplify k into k 1545821360.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.914 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.914 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.914 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.914 * [misc]backup-simplify: Simplify -2 into -2 1545821360.914 * [misc]taylor: Taking taylor expansion of n in n 1545821360.914 * [misc]backup-simplify: Simplify 0 into 0 1545821360.914 * [misc]backup-simplify: Simplify 1 into 1 1545821360.914 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.914 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.914 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.914 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.915 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.915 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.915 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.915 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of k in n 1545821360.915 * [misc]backup-simplify: Simplify k into k 1545821360.915 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.915 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.915 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.915 * [misc]backup-simplify: Simplify PI into PI 1545821360.915 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.915 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.915 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.916 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821360.916 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.916 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.916 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.917 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.917 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.919 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821360.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.919 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.919 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.919 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545821360.920 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.920 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821360.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821360.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821360.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821360.922 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821360.922 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.922 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821360.923 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821360.923 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545821360.924 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545821360.924 * [misc]backup-simplify: Simplify 0 into 0 1545821360.924 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545821360.924 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821360.925 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821360.926 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.926 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821360.926 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821360.926 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of k in n 1545821360.926 * [misc]backup-simplify: Simplify k into k 1545821360.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.926 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821360.926 * [misc]taylor: Taking taylor expansion of -2 in n 1545821360.926 * [misc]backup-simplify: Simplify -2 into -2 1545821360.926 * [misc]taylor: Taking taylor expansion of n in n 1545821360.926 * [misc]backup-simplify: Simplify 0 into 0 1545821360.926 * [misc]backup-simplify: Simplify 1 into 1 1545821360.926 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821360.926 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821360.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.927 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821360.927 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821360.927 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821360.927 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of k in n 1545821360.927 * [misc]backup-simplify: Simplify k into k 1545821360.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821360.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821360.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821360.927 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821360.927 * [misc]taylor: Taking taylor expansion of PI in n 1545821360.927 * [misc]backup-simplify: Simplify PI into PI 1545821360.928 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821360.928 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821360.928 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821360.928 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821360.928 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821360.928 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821360.929 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821360.929 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.929 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821360.931 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545821360.931 * * * [misc]progress: simplifying candidates 1545821360.931 * * * * [misc]progress: [ 1 / 123 ] simplifiying candidate # 1545821360.931 * * * * [misc]progress: [ 2 / 123 ] simplifiying candidate # 1545821360.931 * * * * [misc]progress: [ 3 / 123 ] simplifiying candidate # 1545821360.931 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545821360.931 * * [misc]simplify: iters left: 6 (9 enodes) 1545821360.933 * * [misc]simplify: iters left: 5 (16 enodes) 1545821360.936 * * [misc]simplify: iters left: 4 (32 enodes) 1545821360.944 * * [misc]simplify: iters left: 3 (72 enodes) 1545821360.967 * * [misc]simplify: iters left: 2 (195 enodes) 1545821361.052 * * [misc]simplify: iters left: 1 (347 enodes) 1545821361.224 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545821361.224 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1545821361.224 * * * * [misc]progress: [ 4 / 123 ] simplifiying candidate # 1545821361.225 * * * * [misc]progress: [ 5 / 123 ] simplifiying candidate # 1545821361.225 * [enter]simplify: Simplifying (* n 2) 1545821361.225 * * [misc]simplify: iters left: 2 (3 enodes) 1545821361.225 * * [misc]simplify: iters left: 1 (4 enodes) 1545821361.226 * [exit]simplify: Simplified to (* n 2) 1545821361.226 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1545821361.226 * * * * [misc]progress: [ 6 / 123 ] simplifiying candidate # 1545821361.226 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545821361.226 * * [misc]simplify: iters left: 3 (6 enodes) 1545821361.227 * * [misc]simplify: iters left: 2 (7 enodes) 1545821361.228 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545821361.228 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1545821361.228 * * * * [misc]progress: [ 7 / 123 ] simplifiying candidate # 1545821361.228 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821361.228 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.229 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.230 * * [misc]simplify: iters left: 3 (11 enodes) 1545821361.232 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821361.232 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1545821361.232 * * * * [misc]progress: [ 8 / 123 ] simplifiying candidate # 1545821361.232 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821361.232 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.233 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.234 * * [misc]simplify: iters left: 3 (11 enodes) 1545821361.235 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821361.235 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1545821361.235 * * * * [misc]progress: [ 9 / 123 ] simplifiying candidate # 1545821361.235 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821361.235 * * [misc]simplify: iters left: 4 (5 enodes) 1545821361.236 * * [misc]simplify: iters left: 3 (7 enodes) 1545821361.237 * * [misc]simplify: iters left: 2 (10 enodes) 1545821361.238 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821361.239 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1545821361.239 * * * * [misc]progress: [ 10 / 123 ] simplifiying candidate # 1545821361.239 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821361.239 * * [misc]simplify: iters left: 5 (7 enodes) 1545821361.240 * * [misc]simplify: iters left: 4 (10 enodes) 1545821361.241 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821361.241 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545821361.241 * * * * [misc]progress: [ 11 / 123 ] simplifiying candidate # 1545821361.241 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821361.241 * * [misc]simplify: iters left: 5 (7 enodes) 1545821361.242 * * [misc]simplify: iters left: 4 (10 enodes) 1545821361.244 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821361.244 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545821361.244 * * * * [misc]progress: [ 12 / 123 ] simplifiying candidate # 1545821361.244 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545821361.244 * * [misc]simplify: iters left: 5 (7 enodes) 1545821361.245 * * [misc]simplify: iters left: 4 (9 enodes) 1545821361.246 * * [misc]simplify: iters left: 3 (12 enodes) 1545821361.248 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545821361.248 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1545821361.248 * * * * [misc]progress: [ 13 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 14 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 15 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 16 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 17 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 18 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 19 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 20 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 21 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 22 / 123 ] simplifiying candidate # 1545821361.248 * * * * [misc]progress: [ 23 / 123 ] simplifiying candidate # 1545821361.249 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545821361.249 * * [misc]simplify: iters left: 3 (5 enodes) 1545821361.249 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545821361.249 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.249 * * * * [misc]progress: [ 24 / 123 ] simplifiying candidate # 1545821361.249 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821361.250 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.250 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.252 * * [misc]simplify: iters left: 3 (11 enodes) 1545821361.253 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821361.253 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.253 * * * * [misc]progress: [ 25 / 123 ] simplifiying candidate # 1545821361.254 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821361.254 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.255 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.256 * * [misc]simplify: iters left: 3 (11 enodes) 1545821361.258 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821361.258 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.258 * * * * [misc]progress: [ 26 / 123 ] simplifiying candidate # 1545821361.258 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821361.258 * * [misc]simplify: iters left: 4 (5 enodes) 1545821361.259 * * [misc]simplify: iters left: 3 (7 enodes) 1545821361.260 * * [misc]simplify: iters left: 2 (10 enodes) 1545821361.261 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821361.261 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.261 * * * * [misc]progress: [ 27 / 123 ] simplifiying candidate # 1545821361.261 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821361.261 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.262 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.263 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821361.263 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.263 * * * * [misc]progress: [ 28 / 123 ] simplifiying candidate # 1545821361.263 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821361.264 * * [misc]simplify: iters left: 5 (6 enodes) 1545821361.264 * * [misc]simplify: iters left: 4 (8 enodes) 1545821361.265 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821361.265 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821361.265 * * * * [misc]progress: [ 29 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 30 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 31 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 32 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 33 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 34 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 35 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 36 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 37 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 38 / 123 ] simplifiying candidate # 1545821361.266 * * * * [misc]progress: [ 39 / 123 ] simplifiying candidate # 1545821361.266 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545821361.266 * * [misc]simplify: iters left: 6 (12 enodes) 1545821361.268 * * [misc]simplify: iters left: 5 (21 enodes) 1545821361.276 * * [misc]simplify: iters left: 4 (44 enodes) 1545821361.295 * * [misc]simplify: iters left: 3 (133 enodes) 1545821361.361 * * [misc]simplify: iters left: 2 (353 enodes) 1545821361.466 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545821361.466 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1545821361.466 * * * * [misc]progress: [ 40 / 123 ] simplifiying candidate # 1545821361.466 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545821361.466 * * [misc]simplify: iters left: 6 (12 enodes) 1545821361.471 * * [misc]simplify: iters left: 5 (21 enodes) 1545821361.478 * * [misc]simplify: iters left: 4 (44 enodes) 1545821361.497 * * [misc]simplify: iters left: 3 (133 enodes) 1545821361.566 * * [misc]simplify: iters left: 2 (353 enodes) 1545821361.701 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545821361.701 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1545821361.701 * * * * [misc]progress: [ 41 / 123 ] simplifiying candidate # 1545821361.701 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545821361.701 * * [misc]simplify: iters left: 6 (12 enodes) 1545821361.703 * * [misc]simplify: iters left: 5 (19 enodes) 1545821361.709 * * [misc]simplify: iters left: 4 (32 enodes) 1545821361.719 * * [misc]simplify: iters left: 3 (69 enodes) 1545821361.751 * * [misc]simplify: iters left: 2 (200 enodes) 1545821361.845 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1545821361.845 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))))))) 1545821361.845 * * * * [misc]progress: [ 42 / 123 ] simplifiying candidate # 1545821361.845 * * * * [misc]progress: [ 43 / 123 ] simplifiying candidate # 1545821361.845 * * * * [misc]progress: [ 44 / 123 ] simplifiying candidate # 1545821361.846 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545821361.846 * * [misc]simplify: iters left: 6 (14 enodes) 1545821361.851 * * [misc]simplify: iters left: 5 (26 enodes) 1545821361.859 * * [misc]simplify: iters left: 4 (54 enodes) 1545821361.876 * * [misc]simplify: iters left: 3 (86 enodes) 1545821361.905 * * [misc]simplify: iters left: 2 (112 enodes) 1545821361.923 * * [misc]simplify: iters left: 1 (119 enodes) 1545821361.935 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545821361.935 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821361.935 * * * * [misc]progress: [ 45 / 123 ] simplifiying candidate # 1545821361.935 * * * * [misc]progress: [ 46 / 123 ] simplifiying candidate # 1545821361.935 * * * * [misc]progress: [ 47 / 123 ] simplifiying candidate # 1545821361.935 * * * * [misc]progress: [ 48 / 123 ] simplifiying candidate # 1545821361.935 * * * * [misc]progress: [ 49 / 123 ] simplifiying candidate # 1545821361.935 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545821361.935 * * [misc]simplify: iters left: 6 (10 enodes) 1545821361.937 * * [misc]simplify: iters left: 5 (14 enodes) 1545821361.939 * * [misc]simplify: iters left: 4 (16 enodes) 1545821361.941 * * [misc]simplify: iters left: 3 (17 enodes) 1545821361.943 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545821361.943 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545821361.944 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821361.944 * * [misc]simplify: iters left: 6 (10 enodes) 1545821361.945 * * [misc]simplify: iters left: 5 (13 enodes) 1545821361.947 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821361.947 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545821361.947 * * * * [misc]progress: [ 50 / 123 ] simplifiying candidate # 1545821361.947 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545821361.947 * * [misc]simplify: iters left: 6 (10 enodes) 1545821361.949 * * [misc]simplify: iters left: 5 (14 enodes) 1545821361.950 * * [misc]simplify: iters left: 4 (16 enodes) 1545821361.952 * * [misc]simplify: iters left: 3 (17 enodes) 1545821361.955 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545821361.955 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545821361.955 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821361.955 * * [misc]simplify: iters left: 6 (10 enodes) 1545821361.956 * * [misc]simplify: iters left: 5 (13 enodes) 1545821361.958 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821361.958 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545821361.958 * * * * [misc]progress: [ 51 / 123 ] simplifiying candidate # 1545821361.958 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545821361.959 * * [misc]simplify: iters left: 6 (11 enodes) 1545821361.960 * * [misc]simplify: iters left: 5 (15 enodes) 1545821361.962 * * [misc]simplify: iters left: 4 (20 enodes) 1545821361.965 * * [misc]simplify: iters left: 3 (21 enodes) 1545821361.968 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545821361.968 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545821361.968 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821361.968 * * [misc]simplify: iters left: 6 (9 enodes) 1545821361.969 * * [misc]simplify: iters left: 5 (11 enodes) 1545821361.972 * * [misc]simplify: iters left: 4 (14 enodes) 1545821361.973 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821361.974 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545821361.974 * * * * [misc]progress: [ 52 / 123 ] simplifiying candidate # 1545821361.974 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821361.974 * * [misc]simplify: iters left: 6 (14 enodes) 1545821361.976 * * [misc]simplify: iters left: 5 (23 enodes) 1545821361.979 * * [misc]simplify: iters left: 4 (35 enodes) 1545821361.984 * * [misc]simplify: iters left: 3 (38 enodes) 1545821361.989 * * [misc]simplify: iters left: 2 (41 enodes) 1545821361.994 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821361.994 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821361.994 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821361.995 * * [misc]simplify: iters left: 6 (12 enodes) 1545821361.996 * * [misc]simplify: iters left: 5 (15 enodes) 1545821361.999 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.001 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.001 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.001 * * * * [misc]progress: [ 53 / 123 ] simplifiying candidate # 1545821362.001 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.001 * * [misc]simplify: iters left: 6 (13 enodes) 1545821362.003 * * [misc]simplify: iters left: 5 (18 enodes) 1545821362.006 * * [misc]simplify: iters left: 4 (23 enodes) 1545821362.009 * * [misc]simplify: iters left: 3 (24 enodes) 1545821362.013 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.013 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.013 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.013 * * [misc]simplify: iters left: 6 (12 enodes) 1545821362.015 * * [misc]simplify: iters left: 5 (15 enodes) 1545821362.017 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.019 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.019 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.019 * * * * [misc]progress: [ 54 / 123 ] simplifiying candidate # 1545821362.019 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545821362.019 * * [misc]simplify: iters left: 6 (6 enodes) 1545821362.020 * * [misc]simplify: iters left: 5 (10 enodes) 1545821362.022 * * [misc]simplify: iters left: 4 (16 enodes) 1545821362.024 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821362.024 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.024 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.024 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.026 * * [misc]simplify: iters left: 5 (14 enodes) 1545821362.028 * * [misc]simplify: iters left: 4 (17 enodes) 1545821362.030 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.030 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.030 * * * * [misc]progress: [ 55 / 123 ] simplifiying candidate # 1545821362.030 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545821362.030 * * [misc]simplify: iters left: 5 (9 enodes) 1545821362.032 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.033 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545821362.033 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545821362.033 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821362.033 * * [misc]simplify: iters left: 6 (10 enodes) 1545821362.035 * * [misc]simplify: iters left: 5 (13 enodes) 1545821362.037 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821362.037 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545821362.037 * * * * [misc]progress: [ 56 / 123 ] simplifiying candidate # 1545821362.037 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545821362.037 * * [misc]simplify: iters left: 5 (9 enodes) 1545821362.038 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.040 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545821362.040 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1545821362.040 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821362.040 * * [misc]simplify: iters left: 6 (10 enodes) 1545821362.042 * * [misc]simplify: iters left: 5 (13 enodes) 1545821362.043 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821362.043 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1545821362.044 * * * * [misc]progress: [ 57 / 123 ] simplifiying candidate # 1545821362.044 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545821362.044 * * [misc]simplify: iters left: 6 (10 enodes) 1545821362.046 * * [misc]simplify: iters left: 5 (12 enodes) 1545821362.048 * * [misc]simplify: iters left: 4 (15 enodes) 1545821362.050 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545821362.050 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545821362.050 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821362.050 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.052 * * [misc]simplify: iters left: 5 (11 enodes) 1545821362.053 * * [misc]simplify: iters left: 4 (14 enodes) 1545821362.055 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821362.055 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1545821362.055 * * * * [misc]progress: [ 58 / 123 ] simplifiying candidate # 1545821362.055 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821362.055 * * [misc]simplify: iters left: 6 (13 enodes) 1545821362.057 * * [misc]simplify: iters left: 5 (18 enodes) 1545821362.060 * * [misc]simplify: iters left: 4 (21 enodes) 1545821362.062 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821362.063 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.063 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.063 * * [misc]simplify: iters left: 6 (12 enodes) 1545821362.064 * * [misc]simplify: iters left: 5 (15 enodes) 1545821362.066 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.069 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.069 * * * * [misc]progress: [ 59 / 123 ] simplifiying candidate # 1545821362.069 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.069 * * [misc]simplify: iters left: 6 (12 enodes) 1545821362.071 * * [misc]simplify: iters left: 5 (15 enodes) 1545821362.073 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.075 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.075 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.076 * * [misc]simplify: iters left: 6 (12 enodes) 1545821362.077 * * [misc]simplify: iters left: 5 (15 enodes) 1545821362.079 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.082 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.082 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.082 * * * * [misc]progress: [ 60 / 123 ] simplifiying candidate # 1545821362.082 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545821362.082 * * [misc]simplify: iters left: 4 (5 enodes) 1545821362.083 * * [misc]simplify: iters left: 3 (7 enodes) 1545821362.084 * * [misc]simplify: iters left: 2 (9 enodes) 1545821362.085 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821362.085 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.085 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.085 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.087 * * [misc]simplify: iters left: 5 (14 enodes) 1545821362.089 * * [misc]simplify: iters left: 4 (17 enodes) 1545821362.091 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.091 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.091 * * * * [misc]progress: [ 61 / 123 ] simplifiying candidate # 1545821362.091 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545821362.091 * * [misc]simplify: iters left: 5 (7 enodes) 1545821362.092 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.093 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545821362.093 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1545821362.094 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545821362.094 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.095 * * [misc]simplify: iters left: 5 (12 enodes) 1545821362.097 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545821362.097 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1545821362.097 * * * * [misc]progress: [ 62 / 123 ] simplifiying candidate # 1545821362.097 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545821362.097 * * [misc]simplify: iters left: 5 (7 enodes) 1545821362.098 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.099 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545821362.099 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1545821362.099 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545821362.099 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.101 * * [misc]simplify: iters left: 5 (12 enodes) 1545821362.102 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545821362.102 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1545821362.102 * * * * [misc]progress: [ 63 / 123 ] simplifiying candidate # 1545821362.102 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545821362.102 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.104 * * [misc]simplify: iters left: 5 (13 enodes) 1545821362.106 * * [misc]simplify: iters left: 4 (16 enodes) 1545821362.108 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545821362.108 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545821362.108 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545821362.108 * * [misc]simplify: iters left: 6 (8 enodes) 1545821362.109 * * [misc]simplify: iters left: 5 (10 enodes) 1545821362.111 * * [misc]simplify: iters left: 4 (13 enodes) 1545821362.112 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545821362.112 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1545821362.112 * * * * [misc]progress: [ 64 / 123 ] simplifiying candidate # 1545821362.112 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821362.113 * * [misc]simplify: iters left: 6 (12 enodes) 1545821362.114 * * [misc]simplify: iters left: 5 (19 enodes) 1545821362.117 * * [misc]simplify: iters left: 4 (22 enodes) 1545821362.120 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545821362.121 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.121 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.121 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.122 * * [misc]simplify: iters left: 5 (14 enodes) 1545821362.124 * * [misc]simplify: iters left: 4 (17 enodes) 1545821362.126 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.127 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.127 * * * * [misc]progress: [ 65 / 123 ] simplifiying candidate # 1545821362.127 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.127 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.128 * * [misc]simplify: iters left: 5 (16 enodes) 1545821362.130 * * [misc]simplify: iters left: 4 (19 enodes) 1545821362.133 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545821362.133 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.133 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.133 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.135 * * [misc]simplify: iters left: 5 (14 enodes) 1545821362.136 * * [misc]simplify: iters left: 4 (17 enodes) 1545821362.139 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.139 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545821362.139 * * * * [misc]progress: [ 66 / 123 ] simplifiying candidate # 1545821362.139 * [enter]simplify: Simplifying (/ 1 1) 1545821362.139 * * [misc]simplify: iters left: 2 (2 enodes) 1545821362.139 * * [misc]simplify: iters left: 1 (4 enodes) 1545821362.140 * [exit]simplify: Simplified to 1 1545821362.140 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.140 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.140 * * [misc]simplify: iters left: 6 (10 enodes) 1545821362.141 * * [misc]simplify: iters left: 5 (13 enodes) 1545821362.143 * * [misc]simplify: iters left: 4 (16 enodes) 1545821362.145 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.145 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.145 * * * * [misc]progress: [ 67 / 123 ] simplifiying candidate # 1545821362.145 * * * * [misc]progress: [ 68 / 123 ] simplifiying candidate # 1545821362.145 * * * * [misc]progress: [ 69 / 123 ] simplifiying candidate # 1545821362.145 * * * * [misc]progress: [ 70 / 123 ] simplifiying candidate # 1545821362.146 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821362.146 * * [misc]simplify: iters left: 5 (7 enodes) 1545821362.147 * * [misc]simplify: iters left: 4 (10 enodes) 1545821362.148 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821362.148 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545821362.148 * * * * [misc]progress: [ 71 / 123 ] simplifiying candidate # 1545821362.148 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821362.148 * * [misc]simplify: iters left: 5 (7 enodes) 1545821362.149 * * [misc]simplify: iters left: 4 (10 enodes) 1545821362.151 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821362.151 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545821362.151 * * * * [misc]progress: [ 72 / 123 ] simplifiying candidate # 1545821362.151 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545821362.151 * * [misc]simplify: iters left: 5 (6 enodes) 1545821362.152 * * [misc]simplify: iters left: 4 (8 enodes) 1545821362.153 * * [misc]simplify: iters left: 3 (11 enodes) 1545821362.154 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545821362.155 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1545821362.155 * * * * [misc]progress: [ 73 / 123 ] simplifiying candidate # 1545821362.155 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.155 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.156 * * [misc]simplify: iters left: 5 (12 enodes) 1545821362.158 * * [misc]simplify: iters left: 4 (15 enodes) 1545821362.160 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.160 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.160 * * * * [misc]progress: [ 74 / 123 ] simplifiying candidate # 1545821362.160 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.160 * * [misc]simplify: iters left: 6 (9 enodes) 1545821362.161 * * [misc]simplify: iters left: 5 (12 enodes) 1545821362.163 * * [misc]simplify: iters left: 4 (15 enodes) 1545821362.165 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.165 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821362.165 * * * * [misc]progress: [ 75 / 123 ] simplifiying candidate # 1545821362.165 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545821362.165 * * [misc]simplify: iters left: 5 (8 enodes) 1545821362.166 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.168 * * [misc]simplify: iters left: 3 (14 enodes) 1545821362.170 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545821362.170 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821362.170 * * * * [misc]progress: [ 76 / 123 ] simplifiying candidate # 1545821362.170 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821362.170 * * [misc]simplify: iters left: 4 (4 enodes) 1545821362.171 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821362.171 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1545821362.171 * * * * [misc]progress: [ 77 / 123 ] simplifiying candidate # 1545821362.171 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545821362.171 * * [misc]simplify: iters left: 2 (3 enodes) 1545821362.171 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821362.171 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1545821362.171 * * * * [misc]progress: [ 78 / 123 ] simplifiying candidate # 1545821362.171 * * * * [misc]progress: [ 79 / 123 ] simplifiying candidate # 1545821362.172 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545821362.172 * * [misc]simplify: iters left: 3 (6 enodes) 1545821362.173 * * [misc]simplify: iters left: 2 (7 enodes) 1545821362.173 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545821362.173 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1545821362.174 * * * * [misc]progress: [ 80 / 123 ] simplifiying candidate # 1545821362.174 * * * * [misc]progress: [ 81 / 123 ] simplifiying candidate # 1545821362.174 * * * * [misc]progress: [ 82 / 123 ] simplifiying candidate # 1545821362.174 * * * * [misc]progress: [ 83 / 123 ] simplifiying candidate # 1545821362.174 * [enter]simplify: Simplifying (- 1) 1545821362.174 * * [misc]simplify: iters left: 2 (2 enodes) 1545821362.175 * * [misc]simplify: iters left: 1 (5 enodes) 1545821362.175 * [exit]simplify: Simplified to -1 1545821362.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1)) 1545821362.175 * * * * [misc]progress: [ 84 / 123 ] simplifiying candidate # 1545821362.176 * [enter]simplify: Simplifying (- 1) 1545821362.176 * * [misc]simplify: iters left: 2 (2 enodes) 1545821362.177 * * [misc]simplify: iters left: 1 (5 enodes) 1545821362.178 * [exit]simplify: Simplified to -1 1545821362.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) -1)) 1545821362.178 * * * * [misc]progress: [ 85 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 86 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 87 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 88 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 89 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 90 / 123 ] simplifiying candidate # 1545821362.178 * * * * [misc]progress: [ 91 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 92 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 93 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 94 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 95 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 96 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 97 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 98 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 99 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 100 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 101 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 102 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 103 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 104 / 123 ] simplifiying candidate # 1545821362.179 * * * * [misc]progress: [ 105 / 123 ] simplifiying candidate # 1545821362.180 * * * * [misc]progress: [ 106 / 123 ] simplifiying candidate # 1545821362.180 * * * * [misc]progress: [ 107 / 123 ] simplifiying candidate # 1545821362.180 * * * * [misc]progress: [ 108 / 123 ] simplifiying candidate # 1545821362.180 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.180 * * [misc]simplify: iters left: 6 (10 enodes) 1545821362.183 * * [misc]simplify: iters left: 5 (13 enodes) 1545821362.187 * * [misc]simplify: iters left: 4 (16 enodes) 1545821362.192 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821362.192 * * * * [misc]progress: [ 109 / 123 ] simplifiying candidate # 1545821362.192 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821362.192 * * [misc]simplify: iters left: 6 (11 enodes) 1545821362.196 * * [misc]simplify: iters left: 5 (15 enodes) 1545821362.200 * * [misc]simplify: iters left: 4 (18 enodes) 1545821362.207 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1545821362.207 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (sqrt k))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545821362.207 * * * * [misc]progress: [ 110 / 123 ] simplifiying candidate # 1545821362.207 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545821362.207 * * [misc]simplify: iters left: 5 (8 enodes) 1545821362.210 * * [misc]simplify: iters left: 4 (11 enodes) 1545821362.219 * * [misc]simplify: iters left: 3 (14 enodes) 1545821362.223 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545821362.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545821362.223 * * * * [misc]progress: [ 111 / 123 ] simplifiying candidate # 1545821362.223 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545821362.223 * * [misc]simplify: iters left: 5 (7 enodes) 1545821362.226 * * [misc]simplify: iters left: 4 (9 enodes) 1545821362.228 * * [misc]simplify: iters left: 3 (12 enodes) 1545821362.232 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821362.232 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821362.232 * * * * [misc]progress: [ 112 / 123 ] simplifiying candidate # 1545821362.233 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545821362.233 * * [misc]simplify: iters left: 6 (35 enodes) 1545821362.248 * * [misc]simplify: iters left: 5 (102 enodes) 1545821362.291 * * [misc]simplify: iters left: 4 (321 enodes) 1545821362.537 * [exit]simplify: Simplified to (+ (fma (* (* (log 2) (log n)) (* (* k k) (* (pow 2 1/2) (pow n 1/2)))) 1/4 (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (* (pow 2 1/2) (pow n 1/2)) 1/8) (* (* (log n) k) (* (log n) k)) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545821362.537 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (* (* (log 2) (log n)) (* (* k k) (* (pow 2 1/2) (pow n 1/2)))) 1/4 (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (* (pow 2 1/2) (pow n 1/2)) 1/8) (* (* (log n) k) (* (log n) k)) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))))))) 1545821362.537 * * * * [misc]progress: [ 113 / 123 ] simplifiying candidate # 1545821362.537 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545821362.538 * * [misc]simplify: iters left: 6 (13 enodes) 1545821362.543 * * [misc]simplify: iters left: 5 (27 enodes) 1545821362.553 * * [misc]simplify: iters left: 4 (53 enodes) 1545821362.572 * * [misc]simplify: iters left: 3 (120 enodes) 1545821362.649 * * [misc]simplify: iters left: 2 (380 enodes) 1545821363.133 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545821363.134 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2)))))) 1545821363.134 * * * * [misc]progress: [ 114 / 123 ] simplifiying candidate # 1545821363.134 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545821363.134 * * [misc]simplify: iters left: 6 (13 enodes) 1545821363.137 * * [misc]simplify: iters left: 5 (24 enodes) 1545821363.143 * * [misc]simplify: iters left: 4 (54 enodes) 1545821363.155 * * [misc]simplify: iters left: 3 (151 enodes) 1545821363.225 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545821363.225 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))))))) 1545821363.225 * * * * [misc]progress: [ 115 / 123 ] simplifiying candidate # 1545821363.226 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545821363.226 * * [misc]simplify: iters left: 6 (18 enodes) 1545821363.229 * * [misc]simplify: iters left: 5 (39 enodes) 1545821363.237 * * [misc]simplify: iters left: 4 (110 enodes) 1545821363.268 * * [misc]simplify: iters left: 3 (315 enodes) 1545821363.435 * [exit]simplify: Simplified to (fma (fma (* (* 1/8 k) k) (* (log PI) (log PI)) (* (log PI) (* k -1/2))) (sqrt PI) (sqrt PI)) 1545821363.435 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (fma (fma (* (* 1/8 k) k) (* (log PI) (log PI)) (* (log PI) (* k -1/2))) (sqrt PI) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821363.435 * * * * [misc]progress: [ 116 / 123 ] simplifiying candidate # 1545821363.435 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545821363.435 * * [misc]simplify: iters left: 5 (6 enodes) 1545821363.436 * * [misc]simplify: iters left: 4 (9 enodes) 1545821363.438 * * [misc]simplify: iters left: 3 (17 enodes) 1545821363.440 * * [misc]simplify: iters left: 2 (24 enodes) 1545821363.445 * * [misc]simplify: iters left: 1 (28 enodes) 1545821363.451 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545821363.452 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821363.452 * * * * [misc]progress: [ 117 / 123 ] simplifiying candidate # 1545821363.452 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545821363.452 * * [misc]simplify: iters left: 5 (6 enodes) 1545821363.453 * * [misc]simplify: iters left: 4 (9 enodes) 1545821363.455 * * [misc]simplify: iters left: 3 (17 enodes) 1545821363.457 * * [misc]simplify: iters left: 2 (24 enodes) 1545821363.460 * * [misc]simplify: iters left: 1 (28 enodes) 1545821363.472 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545821363.472 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821363.472 * * * * [misc]progress: [ 118 / 123 ] simplifiying candidate # 1545821363.473 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545821363.473 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545821363.473 * * * * [misc]progress: [ 119 / 123 ] simplifiying candidate # 1545821363.473 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545821363.473 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545821363.473 * * * * [misc]progress: [ 120 / 123 ] simplifiying candidate # 1545821363.473 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545821363.474 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1545821363.474 * * * * [misc]progress: [ 121 / 123 ] simplifiying candidate # 1545821363.474 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545821363.474 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821363.474 * * * * [misc]progress: [ 122 / 123 ] simplifiying candidate # 1545821363.474 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545821363.474 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821363.474 * * * * [misc]progress: [ 123 / 123 ] simplifiying candidate # 1545821363.475 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545821363.475 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821363.475 * * * [misc]progress: adding candidates to table 1545821365.313 * * [misc]progress: iteration 4 / 4 1545821365.313 * * * [misc]progress: picking best candidate 1545821365.347 * * * * [misc]pick: Picked # 1545821365.347 * * * [misc]progress: localizing error 1545821365.355 * * * [misc]progress: generating rewritten candidates 1545821365.355 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 2 2) 1545821365.356 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1545821365.357 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) 1545821365.361 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545821365.371 * * * [misc]progress: generating series expansions 1545821365.371 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 2) 1545821365.371 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545821365.371 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545821365.371 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.371 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.371 * [misc]taylor: Taking taylor expansion of k in k 1545821365.371 * [misc]backup-simplify: Simplify 0 into 0 1545821365.371 * [misc]backup-simplify: Simplify 1 into 1 1545821365.371 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821365.371 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.371 * [misc]backup-simplify: Simplify 2 into 2 1545821365.371 * [misc]taylor: Taking taylor expansion of n in k 1545821365.371 * [misc]backup-simplify: Simplify n into n 1545821365.371 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821365.371 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821365.371 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.372 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.372 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.372 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821365.372 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821365.372 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.372 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.372 * [misc]taylor: Taking taylor expansion of k in n 1545821365.372 * [misc]backup-simplify: Simplify k into k 1545821365.372 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.372 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.372 * [misc]backup-simplify: Simplify 2 into 2 1545821365.372 * [misc]taylor: Taking taylor expansion of n in n 1545821365.372 * [misc]backup-simplify: Simplify 0 into 0 1545821365.372 * [misc]backup-simplify: Simplify 1 into 1 1545821365.372 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.372 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.372 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.372 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821365.373 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821365.373 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821365.373 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.373 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821365.373 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821365.373 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.373 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.373 * [misc]taylor: Taking taylor expansion of k in n 1545821365.373 * [misc]backup-simplify: Simplify k into k 1545821365.373 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.373 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.373 * [misc]backup-simplify: Simplify 2 into 2 1545821365.373 * [misc]taylor: Taking taylor expansion of n in n 1545821365.373 * [misc]backup-simplify: Simplify 0 into 0 1545821365.373 * [misc]backup-simplify: Simplify 1 into 1 1545821365.374 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.374 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.374 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.374 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821365.374 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821365.374 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821365.374 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.374 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821365.375 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821365.375 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.375 * [misc]backup-simplify: Simplify 2 into 2 1545821365.375 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.375 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of n in k 1545821365.375 * [misc]backup-simplify: Simplify n into n 1545821365.375 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821365.375 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.375 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.375 * [misc]taylor: Taking taylor expansion of k in k 1545821365.375 * [misc]backup-simplify: Simplify 0 into 0 1545821365.375 * [misc]backup-simplify: Simplify 1 into 1 1545821365.375 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545821365.375 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.375 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.376 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.376 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545821365.376 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545821365.376 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545821365.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.378 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545821365.378 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.378 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.379 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545821365.382 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.382 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.382 * [misc]backup-simplify: Simplify 0 into 0 1545821365.382 * [misc]backup-simplify: Simplify 0 into 0 1545821365.382 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821365.382 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.382 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.384 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.384 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545821365.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.385 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545821365.385 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545821365.386 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1545821365.386 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821365.389 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821365.390 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545821365.390 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.390 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.390 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.391 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545821365.393 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821365.393 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.393 * [misc]backup-simplify: Simplify 0 into 0 1545821365.393 * [misc]backup-simplify: Simplify 0 into 0 1545821365.393 * [misc]backup-simplify: Simplify 0 into 0 1545821365.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.393 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.398 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821365.399 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545821365.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.400 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545821365.402 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545821365.403 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1545821365.405 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545821365.405 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.405 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545821365.405 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of k in k 1545821365.405 * [misc]backup-simplify: Simplify 0 into 0 1545821365.405 * [misc]backup-simplify: Simplify 1 into 1 1545821365.405 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.405 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821365.405 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.405 * [misc]backup-simplify: Simplify 2 into 2 1545821365.405 * [misc]taylor: Taking taylor expansion of n in k 1545821365.405 * [misc]backup-simplify: Simplify n into n 1545821365.406 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821365.406 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821365.406 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.406 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.406 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.406 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821365.406 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.406 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.406 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.406 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of k in n 1545821365.406 * [misc]backup-simplify: Simplify k into k 1545821365.406 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.406 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.406 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.406 * [misc]backup-simplify: Simplify 2 into 2 1545821365.406 * [misc]taylor: Taking taylor expansion of n in n 1545821365.406 * [misc]backup-simplify: Simplify 0 into 0 1545821365.406 * [misc]backup-simplify: Simplify 1 into 1 1545821365.406 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.407 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.407 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.407 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.407 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.407 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.407 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.407 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.408 * [misc]taylor: Taking taylor expansion of k in n 1545821365.408 * [misc]backup-simplify: Simplify k into k 1545821365.408 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.408 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.408 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.408 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.408 * [misc]backup-simplify: Simplify 2 into 2 1545821365.408 * [misc]taylor: Taking taylor expansion of n in n 1545821365.408 * [misc]backup-simplify: Simplify 0 into 0 1545821365.408 * [misc]backup-simplify: Simplify 1 into 1 1545821365.408 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.408 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.408 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.409 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.409 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of k in k 1545821365.409 * [misc]backup-simplify: Simplify 0 into 0 1545821365.409 * [misc]backup-simplify: Simplify 1 into 1 1545821365.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.409 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.409 * [misc]backup-simplify: Simplify 2 into 2 1545821365.409 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.409 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821365.409 * [misc]taylor: Taking taylor expansion of n in k 1545821365.409 * [misc]backup-simplify: Simplify n into n 1545821365.409 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821365.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.410 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.410 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.410 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821365.410 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545821365.410 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545821365.410 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.410 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.411 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821365.412 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.412 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.413 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821365.414 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.414 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.414 * [misc]backup-simplify: Simplify 0 into 0 1545821365.414 * [misc]backup-simplify: Simplify 0 into 0 1545821365.414 * [misc]backup-simplify: Simplify 0 into 0 1545821365.414 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.417 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545821365.417 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821365.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821365.417 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.417 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.418 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545821365.419 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821365.419 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.419 * [misc]backup-simplify: Simplify 0 into 0 1545821365.419 * [misc]backup-simplify: Simplify 0 into 0 1545821365.419 * [misc]backup-simplify: Simplify 0 into 0 1545821365.419 * [misc]backup-simplify: Simplify 0 into 0 1545821365.419 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.423 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545821365.424 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821365.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821365.424 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.425 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545821365.427 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545821365.427 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.427 * [misc]backup-simplify: Simplify 0 into 0 1545821365.427 * [misc]backup-simplify: Simplify 0 into 0 1545821365.427 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545821365.427 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.427 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545821365.427 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.427 * [misc]taylor: Taking taylor expansion of k in k 1545821365.427 * [misc]backup-simplify: Simplify 0 into 0 1545821365.427 * [misc]backup-simplify: Simplify 1 into 1 1545821365.428 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.428 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821365.428 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821365.428 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.428 * [misc]backup-simplify: Simplify -2 into -2 1545821365.428 * [misc]taylor: Taking taylor expansion of n in k 1545821365.428 * [misc]backup-simplify: Simplify n into n 1545821365.428 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821365.428 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821365.428 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.428 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.428 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821365.428 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.428 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of k in n 1545821365.428 * [misc]backup-simplify: Simplify k into k 1545821365.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.428 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.428 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.428 * [misc]backup-simplify: Simplify -2 into -2 1545821365.428 * [misc]taylor: Taking taylor expansion of n in n 1545821365.429 * [misc]backup-simplify: Simplify 0 into 0 1545821365.429 * [misc]backup-simplify: Simplify 1 into 1 1545821365.429 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.429 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.429 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.429 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.430 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of k in n 1545821365.430 * [misc]backup-simplify: Simplify k into k 1545821365.430 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.430 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.430 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.430 * [misc]backup-simplify: Simplify -2 into -2 1545821365.430 * [misc]taylor: Taking taylor expansion of n in n 1545821365.430 * [misc]backup-simplify: Simplify 0 into 0 1545821365.430 * [misc]backup-simplify: Simplify 1 into 1 1545821365.430 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.430 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.430 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.430 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.430 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.431 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.431 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of k in k 1545821365.431 * [misc]backup-simplify: Simplify 0 into 0 1545821365.431 * [misc]backup-simplify: Simplify 1 into 1 1545821365.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.431 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.431 * [misc]backup-simplify: Simplify -2 into -2 1545821365.431 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.431 * [misc]taylor: Taking taylor expansion of (log n) in k 1545821365.431 * [misc]taylor: Taking taylor expansion of n in k 1545821365.431 * [misc]backup-simplify: Simplify n into n 1545821365.431 * [misc]backup-simplify: Simplify (log n) into (log n) 1545821365.431 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.432 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545821365.432 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545821365.432 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545821365.432 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.432 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821365.434 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821365.434 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.435 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.435 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821365.436 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.436 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.436 * [misc]backup-simplify: Simplify 0 into 0 1545821365.436 * [misc]backup-simplify: Simplify 0 into 0 1545821365.436 * [misc]backup-simplify: Simplify 0 into 0 1545821365.436 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.438 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545821365.438 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821365.439 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545821365.439 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.439 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545821365.441 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545821365.441 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.441 * [misc]backup-simplify: Simplify 0 into 0 1545821365.442 * [misc]backup-simplify: Simplify 0 into 0 1545821365.442 * [misc]backup-simplify: Simplify 0 into 0 1545821365.442 * [misc]backup-simplify: Simplify 0 into 0 1545821365.442 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.449 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1545821365.449 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545821365.450 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545821365.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.450 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.451 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545821365.454 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545821365.454 * [misc]taylor: Taking taylor expansion of 0 in k 1545821365.454 * [misc]backup-simplify: Simplify 0 into 0 1545821365.454 * [misc]backup-simplify: Simplify 0 into 0 1545821365.455 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545821365.455 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1545821365.455 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545821365.455 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545821365.455 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.455 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.455 * [misc]taylor: Taking taylor expansion of k in k 1545821365.455 * [misc]backup-simplify: Simplify 0 into 0 1545821365.455 * [misc]backup-simplify: Simplify 1 into 1 1545821365.455 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.455 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.455 * [misc]backup-simplify: Simplify PI into PI 1545821365.456 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.456 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.456 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.456 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.456 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.457 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821365.457 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.457 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.457 * [misc]taylor: Taking taylor expansion of k in k 1545821365.457 * [misc]backup-simplify: Simplify 0 into 0 1545821365.457 * [misc]backup-simplify: Simplify 1 into 1 1545821365.457 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.457 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.457 * [misc]backup-simplify: Simplify PI into PI 1545821365.457 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.457 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.457 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.457 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.458 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.458 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821365.458 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545821365.460 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821365.460 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821365.460 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.460 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.461 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545821365.462 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821365.463 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821365.466 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545821365.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.466 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.466 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545821365.469 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821365.470 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821365.472 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545821365.472 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.472 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545821365.472 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.472 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.472 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of k in k 1545821365.472 * [misc]backup-simplify: Simplify 0 into 0 1545821365.472 * [misc]backup-simplify: Simplify 1 into 1 1545821365.472 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.472 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.472 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.472 * [misc]backup-simplify: Simplify PI into PI 1545821365.473 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.473 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.473 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.473 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.473 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821365.473 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.473 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821365.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821365.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.474 * [misc]taylor: Taking taylor expansion of k in k 1545821365.474 * [misc]backup-simplify: Simplify 0 into 0 1545821365.474 * [misc]backup-simplify: Simplify 1 into 1 1545821365.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.474 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.474 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.474 * [misc]backup-simplify: Simplify PI into PI 1545821365.474 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.474 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.474 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.474 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.474 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821365.475 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.475 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545821365.475 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.475 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545821365.475 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.475 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.475 * [misc]taylor: Taking taylor expansion of k in k 1545821365.475 * [misc]backup-simplify: Simplify 0 into 0 1545821365.475 * [misc]backup-simplify: Simplify 1 into 1 1545821365.475 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.475 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.476 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.476 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.476 * [misc]backup-simplify: Simplify PI into PI 1545821365.476 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.476 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.476 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.476 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.476 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.476 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.476 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821365.476 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821365.476 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.477 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.477 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.477 * [misc]taylor: Taking taylor expansion of k in k 1545821365.477 * [misc]backup-simplify: Simplify 0 into 0 1545821365.477 * [misc]backup-simplify: Simplify 1 into 1 1545821365.477 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.477 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.477 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.477 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.477 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.477 * [misc]backup-simplify: Simplify PI into PI 1545821365.477 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.477 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.477 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.477 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.478 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.478 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545821365.478 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) 1545821365.478 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545821365.478 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545821365.478 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.478 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.478 * [misc]taylor: Taking taylor expansion of k in n 1545821365.478 * [misc]backup-simplify: Simplify k into k 1545821365.478 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.478 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.478 * [misc]backup-simplify: Simplify 2 into 2 1545821365.478 * [misc]taylor: Taking taylor expansion of n in n 1545821365.478 * [misc]backup-simplify: Simplify 0 into 0 1545821365.478 * [misc]backup-simplify: Simplify 1 into 1 1545821365.479 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.479 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.479 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.479 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821365.479 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821365.479 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821365.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821365.480 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821365.480 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1545821365.480 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821365.480 * [misc]taylor: Taking taylor expansion of k in n 1545821365.480 * [misc]backup-simplify: Simplify k into k 1545821365.480 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821365.480 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821365.480 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.480 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.480 * [misc]taylor: Taking taylor expansion of k in k 1545821365.480 * [misc]backup-simplify: Simplify 0 into 0 1545821365.480 * [misc]backup-simplify: Simplify 1 into 1 1545821365.480 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821365.480 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.480 * [misc]backup-simplify: Simplify 2 into 2 1545821365.480 * [misc]taylor: Taking taylor expansion of n in k 1545821365.480 * [misc]backup-simplify: Simplify n into n 1545821365.480 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821365.480 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821365.480 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.480 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.481 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.481 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821365.481 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821365.481 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545821365.481 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of k in k 1545821365.481 * [misc]backup-simplify: Simplify 0 into 0 1545821365.481 * [misc]backup-simplify: Simplify 1 into 1 1545821365.481 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.481 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.481 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.481 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.481 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.482 * [misc]taylor: Taking taylor expansion of k in k 1545821365.482 * [misc]backup-simplify: Simplify 0 into 0 1545821365.482 * [misc]backup-simplify: Simplify 1 into 1 1545821365.482 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821365.482 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821365.482 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.482 * [misc]backup-simplify: Simplify 2 into 2 1545821365.482 * [misc]taylor: Taking taylor expansion of n in k 1545821365.482 * [misc]backup-simplify: Simplify n into n 1545821365.482 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821365.482 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821365.482 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.482 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.482 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.482 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821365.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821365.482 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1545821365.482 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821365.482 * [misc]taylor: Taking taylor expansion of k in k 1545821365.482 * [misc]backup-simplify: Simplify 0 into 0 1545821365.482 * [misc]backup-simplify: Simplify 1 into 1 1545821365.482 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.483 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.483 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1545821365.483 * [misc]taylor: Taking taylor expansion of 0 in n 1545821365.483 * [misc]backup-simplify: Simplify 0 into 0 1545821365.483 * [misc]backup-simplify: Simplify 0 into 0 1545821365.483 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545821365.484 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545821365.484 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821365.484 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.484 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545821365.485 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545821365.485 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1545821365.486 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1545821365.486 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545821365.486 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545821365.486 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.486 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.486 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545821365.486 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821365.486 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821365.486 * [misc]taylor: Taking taylor expansion of n in n 1545821365.486 * [misc]backup-simplify: Simplify 0 into 0 1545821365.486 * [misc]backup-simplify: Simplify 1 into 1 1545821365.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.487 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.487 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.487 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821365.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.487 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821365.488 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821365.488 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.488 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821365.489 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545821365.490 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.491 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.491 * [misc]backup-simplify: Simplify 0 into 0 1545821365.492 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545821365.493 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545821365.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.494 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.494 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.494 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545821365.495 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545821365.497 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1545821365.502 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1545821365.502 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1545821365.502 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1545821365.502 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1545821365.502 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.502 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.503 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.503 * [misc]backup-simplify: Simplify 2 into 2 1545821365.503 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.503 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.503 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.503 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.503 * [misc]backup-simplify: Simplify 2 into 2 1545821365.503 * [misc]taylor: Taking taylor expansion of n in n 1545821365.503 * [misc]backup-simplify: Simplify 0 into 0 1545821365.503 * [misc]backup-simplify: Simplify 1 into 1 1545821365.503 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.504 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.504 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.504 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545821365.504 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821365.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.504 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821365.504 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821365.504 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821365.504 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821365.504 * [misc]taylor: Taking taylor expansion of n in n 1545821365.504 * [misc]backup-simplify: Simplify 0 into 0 1545821365.504 * [misc]backup-simplify: Simplify 1 into 1 1545821365.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.505 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.505 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.505 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1545821365.505 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1545821365.505 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.505 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.505 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1545821365.505 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1545821365.505 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545821365.505 * [misc]taylor: Taking taylor expansion of n in n 1545821365.506 * [misc]backup-simplify: Simplify 0 into 0 1545821365.506 * [misc]backup-simplify: Simplify 1 into 1 1545821365.506 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.506 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.506 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.506 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545821365.506 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.507 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545821365.507 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545821365.507 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.508 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545821365.508 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1545821365.508 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1545821365.509 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.509 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545821365.509 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.510 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.511 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545821365.511 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1545821365.512 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545821365.513 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1545821365.515 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1545821365.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.515 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545821365.516 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1545821365.516 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.518 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1545821365.520 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545821365.522 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1545821365.523 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545821365.523 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821365.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.524 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.525 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.526 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.526 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1545821365.529 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545821365.529 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545821365.529 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545821365.529 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545821365.529 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.529 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.529 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.529 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.530 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.530 * [misc]taylor: Taking taylor expansion of k in n 1545821365.530 * [misc]backup-simplify: Simplify k into k 1545821365.530 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.530 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.530 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.530 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.530 * [misc]backup-simplify: Simplify 2 into 2 1545821365.530 * [misc]taylor: Taking taylor expansion of n in n 1545821365.530 * [misc]backup-simplify: Simplify 0 into 0 1545821365.530 * [misc]backup-simplify: Simplify 1 into 1 1545821365.530 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.530 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.530 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.530 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.530 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.531 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.531 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.531 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821365.531 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.531 * [misc]taylor: Taking taylor expansion of k in n 1545821365.531 * [misc]backup-simplify: Simplify k into k 1545821365.531 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.531 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821365.531 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.531 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821365.531 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.531 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.531 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.531 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.532 * [misc]taylor: Taking taylor expansion of k in k 1545821365.532 * [misc]backup-simplify: Simplify 0 into 0 1545821365.532 * [misc]backup-simplify: Simplify 1 into 1 1545821365.532 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.532 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821365.532 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821365.532 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.532 * [misc]backup-simplify: Simplify 2 into 2 1545821365.532 * [misc]taylor: Taking taylor expansion of n in k 1545821365.532 * [misc]backup-simplify: Simplify n into n 1545821365.532 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821365.532 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821365.532 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.532 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.532 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821365.532 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.532 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821365.532 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821365.532 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.532 * [misc]taylor: Taking taylor expansion of k in k 1545821365.532 * [misc]backup-simplify: Simplify 0 into 0 1545821365.533 * [misc]backup-simplify: Simplify 1 into 1 1545821365.533 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.533 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.533 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.533 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.533 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.533 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.533 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.533 * [misc]taylor: Taking taylor expansion of k in k 1545821365.533 * [misc]backup-simplify: Simplify 0 into 0 1545821365.533 * [misc]backup-simplify: Simplify 1 into 1 1545821365.533 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.533 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821365.534 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821365.534 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.534 * [misc]backup-simplify: Simplify 2 into 2 1545821365.534 * [misc]taylor: Taking taylor expansion of n in k 1545821365.534 * [misc]backup-simplify: Simplify n into n 1545821365.534 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821365.534 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821365.534 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.534 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.534 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.534 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821365.534 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.534 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821365.534 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821365.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.534 * [misc]taylor: Taking taylor expansion of k in k 1545821365.534 * [misc]backup-simplify: Simplify 0 into 0 1545821365.534 * [misc]backup-simplify: Simplify 1 into 1 1545821365.534 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.535 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.535 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.535 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545821365.535 * [misc]taylor: Taking taylor expansion of 0 in n 1545821365.535 * [misc]backup-simplify: Simplify 0 into 0 1545821365.535 * [misc]backup-simplify: Simplify 0 into 0 1545821365.535 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821365.535 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.535 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.536 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.536 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.536 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of k in n 1545821365.536 * [misc]backup-simplify: Simplify k into k 1545821365.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.536 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.536 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.536 * [misc]backup-simplify: Simplify 2 into 2 1545821365.536 * [misc]taylor: Taking taylor expansion of n in n 1545821365.536 * [misc]backup-simplify: Simplify 0 into 0 1545821365.536 * [misc]backup-simplify: Simplify 1 into 1 1545821365.536 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.536 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.536 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.536 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.536 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.537 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.537 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.537 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.537 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.537 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.538 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.538 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.538 * [misc]backup-simplify: Simplify 0 into 0 1545821365.538 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821365.539 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.539 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821365.539 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.539 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.539 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.539 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.539 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.539 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.539 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.540 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of k in n 1545821365.540 * [misc]backup-simplify: Simplify k into k 1545821365.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.540 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.540 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.540 * [misc]backup-simplify: Simplify 2 into 2 1545821365.540 * [misc]taylor: Taking taylor expansion of n in n 1545821365.540 * [misc]backup-simplify: Simplify 0 into 0 1545821365.540 * [misc]backup-simplify: Simplify 1 into 1 1545821365.540 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.540 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.540 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.540 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.540 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.540 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.541 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.541 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.541 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.541 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.541 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.542 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.542 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821365.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.543 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.544 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.544 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.544 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.545 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821365.546 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.547 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545821365.547 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545821365.547 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.547 * [misc]backup-simplify: Simplify 0 into 0 1545821365.548 * [misc]backup-simplify: Simplify 0 into 0 1545821365.548 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.549 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821365.550 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821365.550 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.550 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.550 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.550 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.550 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.551 * [misc]taylor: Taking taylor expansion of k in n 1545821365.551 * [misc]backup-simplify: Simplify k into k 1545821365.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.551 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.551 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.551 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.551 * [misc]backup-simplify: Simplify 2 into 2 1545821365.551 * [misc]taylor: Taking taylor expansion of n in n 1545821365.551 * [misc]backup-simplify: Simplify 0 into 0 1545821365.551 * [misc]backup-simplify: Simplify 1 into 1 1545821365.551 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.551 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.551 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.551 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.552 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.552 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.553 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.553 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.553 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.554 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.556 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545821365.556 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.556 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545821365.556 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.556 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821365.556 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821365.556 * [misc]taylor: Taking taylor expansion of -1 in n 1545821365.556 * [misc]backup-simplify: Simplify -1 into -1 1545821365.556 * [misc]taylor: Taking taylor expansion of k in n 1545821365.556 * [misc]backup-simplify: Simplify k into k 1545821365.556 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821365.556 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821365.557 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821365.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821365.557 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.557 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of k in n 1545821365.557 * [misc]backup-simplify: Simplify k into k 1545821365.557 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.557 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.557 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.557 * [misc]backup-simplify: Simplify -2 into -2 1545821365.557 * [misc]taylor: Taking taylor expansion of n in n 1545821365.557 * [misc]backup-simplify: Simplify 0 into 0 1545821365.557 * [misc]backup-simplify: Simplify 1 into 1 1545821365.558 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.558 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.558 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.558 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.559 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.560 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.560 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821365.560 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821365.560 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821365.560 * [misc]taylor: Taking taylor expansion of -1 in k 1545821365.560 * [misc]backup-simplify: Simplify -1 into -1 1545821365.560 * [misc]taylor: Taking taylor expansion of k in k 1545821365.560 * [misc]backup-simplify: Simplify 0 into 0 1545821365.560 * [misc]backup-simplify: Simplify 1 into 1 1545821365.560 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821365.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.561 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821365.561 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.561 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.561 * [misc]taylor: Taking taylor expansion of k in k 1545821365.561 * [misc]backup-simplify: Simplify 0 into 0 1545821365.561 * [misc]backup-simplify: Simplify 1 into 1 1545821365.561 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.561 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.562 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821365.562 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821365.562 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.562 * [misc]backup-simplify: Simplify -2 into -2 1545821365.562 * [misc]taylor: Taking taylor expansion of n in k 1545821365.562 * [misc]backup-simplify: Simplify n into n 1545821365.562 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821365.562 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821365.562 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.562 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.562 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821365.562 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.563 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.563 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821365.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821365.563 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821365.563 * [misc]taylor: Taking taylor expansion of -1 in k 1545821365.563 * [misc]backup-simplify: Simplify -1 into -1 1545821365.563 * [misc]taylor: Taking taylor expansion of k in k 1545821365.563 * [misc]backup-simplify: Simplify 0 into 0 1545821365.563 * [misc]backup-simplify: Simplify 1 into 1 1545821365.563 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821365.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.564 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821365.564 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of k in k 1545821365.564 * [misc]backup-simplify: Simplify 0 into 0 1545821365.564 * [misc]backup-simplify: Simplify 1 into 1 1545821365.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.564 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821365.564 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.564 * [misc]backup-simplify: Simplify -2 into -2 1545821365.564 * [misc]taylor: Taking taylor expansion of n in k 1545821365.564 * [misc]backup-simplify: Simplify n into n 1545821365.564 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821365.564 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821365.565 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.565 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821365.565 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.565 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.565 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.565 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.565 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.565 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.566 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of k in n 1545821365.566 * [misc]backup-simplify: Simplify k into k 1545821365.566 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.566 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.566 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.566 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.566 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.566 * [misc]backup-simplify: Simplify -2 into -2 1545821365.566 * [misc]taylor: Taking taylor expansion of n in n 1545821365.566 * [misc]backup-simplify: Simplify 0 into 0 1545821365.566 * [misc]backup-simplify: Simplify 1 into 1 1545821365.566 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.566 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.566 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.566 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.567 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.568 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.568 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.569 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821365.570 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.570 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.571 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.571 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of k in n 1545821365.571 * [misc]backup-simplify: Simplify k into k 1545821365.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.571 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.571 * [misc]backup-simplify: Simplify -2 into -2 1545821365.571 * [misc]taylor: Taking taylor expansion of n in n 1545821365.571 * [misc]backup-simplify: Simplify 0 into 0 1545821365.571 * [misc]backup-simplify: Simplify 1 into 1 1545821365.572 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.572 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.573 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.573 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.573 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.574 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.574 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821365.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821365.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821365.577 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821365.577 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.578 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.578 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821365.579 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.580 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1545821365.581 * [misc]backup-simplify: Simplify 0 into 0 1545821365.581 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.582 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821365.583 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.583 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.583 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.583 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.583 * [misc]taylor: Taking taylor expansion of k in n 1545821365.583 * [misc]backup-simplify: Simplify k into k 1545821365.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.584 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.584 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.584 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.584 * [misc]backup-simplify: Simplify -2 into -2 1545821365.584 * [misc]taylor: Taking taylor expansion of n in n 1545821365.584 * [misc]backup-simplify: Simplify 0 into 0 1545821365.584 * [misc]backup-simplify: Simplify 1 into 1 1545821365.584 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.584 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.584 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.585 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.585 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.586 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.586 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545821365.586 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821365.587 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1545821365.588 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545821365.588 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545821365.589 * [misc]backup-simplify: Simplify (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2)))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545821365.589 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1545821365.589 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.589 * [misc]taylor: Taking taylor expansion of k in n 1545821365.589 * [misc]backup-simplify: Simplify k into k 1545821365.589 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.589 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.589 * [misc]backup-simplify: Simplify 2 into 2 1545821365.589 * [misc]taylor: Taking taylor expansion of n in n 1545821365.590 * [misc]backup-simplify: Simplify 0 into 0 1545821365.590 * [misc]backup-simplify: Simplify 1 into 1 1545821365.590 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.590 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.590 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.590 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821365.590 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821365.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821365.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.591 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545821365.591 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545821365.591 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545821365.591 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545821365.591 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545821365.591 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545821365.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.591 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545821365.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.592 * [misc]taylor: Taking taylor expansion of k in n 1545821365.592 * [misc]backup-simplify: Simplify k into k 1545821365.592 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.592 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.592 * [misc]backup-simplify: Simplify PI into PI 1545821365.592 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.592 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545821365.592 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545821365.592 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545821365.593 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545821365.593 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545821365.593 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545821365.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.593 * [misc]taylor: Taking taylor expansion of k in n 1545821365.593 * [misc]backup-simplify: Simplify k into k 1545821365.593 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.593 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545821365.593 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545821365.593 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545821365.593 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.594 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.594 * [misc]taylor: Taking taylor expansion of k in k 1545821365.594 * [misc]backup-simplify: Simplify 0 into 0 1545821365.594 * [misc]backup-simplify: Simplify 1 into 1 1545821365.594 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821365.594 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.594 * [misc]backup-simplify: Simplify 2 into 2 1545821365.594 * [misc]taylor: Taking taylor expansion of n in k 1545821365.594 * [misc]backup-simplify: Simplify n into n 1545821365.594 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821365.594 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821365.594 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.594 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.595 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.595 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821365.595 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821365.595 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.595 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.595 * [misc]taylor: Taking taylor expansion of k in k 1545821365.595 * [misc]backup-simplify: Simplify 0 into 0 1545821365.595 * [misc]backup-simplify: Simplify 1 into 1 1545821365.595 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.595 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.595 * [misc]backup-simplify: Simplify PI into PI 1545821365.595 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.596 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.596 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.596 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.597 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.597 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821365.597 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821365.597 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.597 * [misc]taylor: Taking taylor expansion of k in k 1545821365.597 * [misc]backup-simplify: Simplify 0 into 0 1545821365.597 * [misc]backup-simplify: Simplify 1 into 1 1545821365.598 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.598 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.598 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.598 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.598 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.598 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.598 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.598 * [misc]taylor: Taking taylor expansion of k in k 1545821365.599 * [misc]backup-simplify: Simplify 0 into 0 1545821365.599 * [misc]backup-simplify: Simplify 1 into 1 1545821365.599 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545821365.599 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545821365.599 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.599 * [misc]backup-simplify: Simplify 2 into 2 1545821365.599 * [misc]taylor: Taking taylor expansion of n in k 1545821365.599 * [misc]backup-simplify: Simplify n into n 1545821365.599 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545821365.599 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545821365.599 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.599 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.599 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.599 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545821365.600 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545821365.600 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.600 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.600 * [misc]taylor: Taking taylor expansion of k in k 1545821365.600 * [misc]backup-simplify: Simplify 0 into 0 1545821365.600 * [misc]backup-simplify: Simplify 1 into 1 1545821365.600 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.600 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.600 * [misc]backup-simplify: Simplify PI into PI 1545821365.600 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.600 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545821365.601 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.601 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.601 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.602 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545821365.602 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545821365.602 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.602 * [misc]taylor: Taking taylor expansion of k in k 1545821365.602 * [misc]backup-simplify: Simplify 0 into 0 1545821365.602 * [misc]backup-simplify: Simplify 1 into 1 1545821365.602 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.602 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.603 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.603 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545821365.604 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545821365.604 * [misc]taylor: Taking taylor expansion of 0 in n 1545821365.604 * [misc]backup-simplify: Simplify 0 into 0 1545821365.604 * [misc]backup-simplify: Simplify 0 into 0 1545821365.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821365.606 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821365.606 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.606 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545821365.611 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545821365.611 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545821365.612 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545821365.612 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545821365.612 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.612 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.612 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545821365.613 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1545821365.614 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1545821365.615 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545821365.616 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.616 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.616 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.616 * [misc]backup-simplify: Simplify 2 into 2 1545821365.616 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.616 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821365.616 * [misc]taylor: Taking taylor expansion of n in n 1545821365.616 * [misc]backup-simplify: Simplify 0 into 0 1545821365.616 * [misc]backup-simplify: Simplify 1 into 1 1545821365.616 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.616 * [misc]backup-simplify: Simplify PI into PI 1545821365.617 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821365.618 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821365.618 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.618 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.618 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821365.619 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.619 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.619 * [misc]backup-simplify: Simplify 0 into 0 1545821365.619 * [misc]backup-simplify: Simplify 0 into 0 1545821365.619 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545821365.620 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.624 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545821365.625 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.625 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.625 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.626 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545821365.630 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545821365.631 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545821365.632 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1545821365.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.633 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545821365.634 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1545821365.639 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1545821365.643 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1545821365.643 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.643 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.643 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.643 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.643 * [misc]backup-simplify: Simplify 2 into 2 1545821365.643 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.644 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.644 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.644 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.644 * [misc]backup-simplify: Simplify PI into PI 1545821365.644 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.644 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.644 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.644 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.644 * [misc]backup-simplify: Simplify PI into PI 1545821365.644 * [misc]taylor: Taking taylor expansion of n in n 1545821365.644 * [misc]backup-simplify: Simplify 0 into 0 1545821365.644 * [misc]backup-simplify: Simplify 1 into 1 1545821365.644 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.645 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.645 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.646 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.646 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.646 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.646 * [misc]backup-simplify: Simplify 2 into 2 1545821365.646 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.646 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.646 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821365.646 * [misc]taylor: Taking taylor expansion of n in n 1545821365.646 * [misc]backup-simplify: Simplify 0 into 0 1545821365.646 * [misc]backup-simplify: Simplify 1 into 1 1545821365.646 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.646 * [misc]backup-simplify: Simplify PI into PI 1545821365.647 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821365.647 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821365.647 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.648 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.648 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545821365.648 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545821365.648 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.648 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.648 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545821365.648 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545821365.648 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.648 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.648 * [misc]backup-simplify: Simplify 2 into 2 1545821365.648 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.649 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.649 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.649 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.649 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.649 * [misc]backup-simplify: Simplify 2 into 2 1545821365.649 * [misc]taylor: Taking taylor expansion of n in n 1545821365.649 * [misc]backup-simplify: Simplify 0 into 0 1545821365.649 * [misc]backup-simplify: Simplify 1 into 1 1545821365.649 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.649 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.649 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.649 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.649 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.649 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.649 * [misc]backup-simplify: Simplify PI into PI 1545821365.649 * [misc]taylor: Taking taylor expansion of n in n 1545821365.649 * [misc]backup-simplify: Simplify 0 into 0 1545821365.649 * [misc]backup-simplify: Simplify 1 into 1 1545821365.650 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.650 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.651 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.652 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545821365.652 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545821365.653 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.653 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821365.653 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.653 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.654 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545821365.654 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545821365.654 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.654 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.655 * [misc]backup-simplify: Simplify 0 into 0 1545821365.656 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.658 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.659 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.660 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.660 * [misc]backup-simplify: Simplify 0 into 0 1545821365.661 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.662 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821365.669 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1545821365.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821365.669 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545821365.678 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1545821365.679 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545821365.682 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1545821365.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545821365.682 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.683 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545821365.685 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1545821365.690 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1545821365.699 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1545821365.700 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.700 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.700 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.700 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.700 * [misc]backup-simplify: Simplify 2 into 2 1545821365.700 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.701 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.701 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.701 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.701 * [misc]backup-simplify: Simplify PI into PI 1545821365.701 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.701 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.701 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.701 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.701 * [misc]backup-simplify: Simplify PI into PI 1545821365.701 * [misc]taylor: Taking taylor expansion of n in n 1545821365.701 * [misc]backup-simplify: Simplify 0 into 0 1545821365.701 * [misc]backup-simplify: Simplify 1 into 1 1545821365.701 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.702 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.702 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.703 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.703 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.703 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.703 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.703 * [misc]backup-simplify: Simplify 2 into 2 1545821365.703 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.703 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.703 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545821365.703 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.704 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.704 * [misc]backup-simplify: Simplify PI into PI 1545821365.704 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.704 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.704 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.704 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.704 * [misc]backup-simplify: Simplify PI into PI 1545821365.704 * [misc]taylor: Taking taylor expansion of n in n 1545821365.704 * [misc]backup-simplify: Simplify 0 into 0 1545821365.704 * [misc]backup-simplify: Simplify 1 into 1 1545821365.704 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.705 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.705 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.705 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.706 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.706 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.706 * [misc]backup-simplify: Simplify 2 into 2 1545821365.706 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.706 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.706 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.706 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.706 * [misc]backup-simplify: Simplify 2 into 2 1545821365.706 * [misc]taylor: Taking taylor expansion of n in n 1545821365.706 * [misc]backup-simplify: Simplify 0 into 0 1545821365.706 * [misc]backup-simplify: Simplify 1 into 1 1545821365.707 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.707 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.707 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.707 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.707 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.707 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.707 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.707 * [misc]backup-simplify: Simplify PI into PI 1545821365.708 * [misc]taylor: Taking taylor expansion of n in n 1545821365.708 * [misc]backup-simplify: Simplify 0 into 0 1545821365.708 * [misc]backup-simplify: Simplify 1 into 1 1545821365.708 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.708 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.709 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.709 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.709 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.709 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.709 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.709 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.709 * [misc]backup-simplify: Simplify 2 into 2 1545821365.710 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.710 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.710 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545821365.710 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.710 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.710 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.710 * [misc]backup-simplify: Simplify 2 into 2 1545821365.710 * [misc]taylor: Taking taylor expansion of n in n 1545821365.710 * [misc]backup-simplify: Simplify 0 into 0 1545821365.710 * [misc]backup-simplify: Simplify 1 into 1 1545821365.710 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.710 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.711 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.711 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.711 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.711 * [misc]backup-simplify: Simplify PI into PI 1545821365.711 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.711 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821365.711 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821365.711 * [misc]taylor: Taking taylor expansion of n in n 1545821365.711 * [misc]backup-simplify: Simplify 0 into 0 1545821365.711 * [misc]backup-simplify: Simplify 1 into 1 1545821365.711 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.711 * [misc]backup-simplify: Simplify PI into PI 1545821365.711 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821365.712 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821365.712 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.713 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.713 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.713 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.713 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.713 * [misc]backup-simplify: Simplify 2 into 2 1545821365.713 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.713 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545821365.713 * [misc]taylor: Taking taylor expansion of n in n 1545821365.713 * [misc]backup-simplify: Simplify 0 into 0 1545821365.713 * [misc]backup-simplify: Simplify 1 into 1 1545821365.713 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.713 * [misc]backup-simplify: Simplify PI into PI 1545821365.715 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545821365.715 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545821365.715 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.716 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.716 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545821365.716 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545821365.716 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.716 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.716 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545821365.716 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545821365.716 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545821365.716 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.716 * [misc]backup-simplify: Simplify 2 into 2 1545821365.716 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545821365.717 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545821365.717 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545821365.717 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545821365.717 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.717 * [misc]backup-simplify: Simplify 2 into 2 1545821365.717 * [misc]taylor: Taking taylor expansion of n in n 1545821365.717 * [misc]backup-simplify: Simplify 0 into 0 1545821365.717 * [misc]backup-simplify: Simplify 1 into 1 1545821365.717 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545821365.717 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545821365.717 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.717 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545821365.717 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545821365.717 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.717 * [misc]backup-simplify: Simplify PI into PI 1545821365.718 * [misc]taylor: Taking taylor expansion of n in n 1545821365.718 * [misc]backup-simplify: Simplify 0 into 0 1545821365.718 * [misc]backup-simplify: Simplify 1 into 1 1545821365.718 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545821365.718 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545821365.719 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.719 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545821365.720 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545821365.721 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545821365.721 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.722 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545821365.723 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545821365.724 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545821365.724 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.724 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.725 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.725 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545821365.725 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545821365.726 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545821365.726 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.726 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.727 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545821365.727 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545821365.728 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545821365.728 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.729 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545821365.729 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.729 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.729 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545821365.730 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545821365.730 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545821365.730 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.732 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.732 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.732 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.732 * [misc]backup-simplify: Simplify 0 into 0 1545821365.735 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821365.736 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545821365.737 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545821365.740 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545821365.741 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.743 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545821365.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545821365.746 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.746 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545821365.746 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545821365.747 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821365.750 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821365.752 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1545821365.755 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821365.759 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1545821365.764 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821365.771 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821365.778 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1545821365.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545821365.781 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545821365.782 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545821365.784 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821365.789 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821365.791 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821365.792 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545821365.803 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545821365.803 * [misc]backup-simplify: Simplify (* (/ 1 (* 1 (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))))) (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545821365.804 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1545821365.804 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of k in n 1545821365.804 * [misc]backup-simplify: Simplify k into k 1545821365.804 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.804 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.804 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.804 * [misc]backup-simplify: Simplify PI into PI 1545821365.805 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.805 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.805 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.805 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.805 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821365.806 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.806 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of k in n 1545821365.806 * [misc]backup-simplify: Simplify k into k 1545821365.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.806 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.806 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.806 * [misc]backup-simplify: Simplify 2 into 2 1545821365.806 * [misc]taylor: Taking taylor expansion of n in n 1545821365.806 * [misc]backup-simplify: Simplify 0 into 0 1545821365.806 * [misc]backup-simplify: Simplify 1 into 1 1545821365.806 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.806 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.807 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.807 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.807 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.808 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.808 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545821365.808 * [misc]taylor: Taking taylor expansion of k in n 1545821365.808 * [misc]backup-simplify: Simplify k into k 1545821365.808 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545821365.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545821365.808 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of k in k 1545821365.808 * [misc]backup-simplify: Simplify 0 into 0 1545821365.808 * [misc]backup-simplify: Simplify 1 into 1 1545821365.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.808 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.808 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.808 * [misc]backup-simplify: Simplify PI into PI 1545821365.808 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.808 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.808 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.809 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.809 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821365.809 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.809 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of k in k 1545821365.809 * [misc]backup-simplify: Simplify 0 into 0 1545821365.809 * [misc]backup-simplify: Simplify 1 into 1 1545821365.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.809 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821365.809 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.809 * [misc]backup-simplify: Simplify 2 into 2 1545821365.809 * [misc]taylor: Taking taylor expansion of n in k 1545821365.809 * [misc]backup-simplify: Simplify n into n 1545821365.810 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821365.810 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821365.810 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.810 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.810 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.810 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821365.810 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.810 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821365.810 * [misc]taylor: Taking taylor expansion of k in k 1545821365.810 * [misc]backup-simplify: Simplify 0 into 0 1545821365.810 * [misc]backup-simplify: Simplify 1 into 1 1545821365.810 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.810 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.810 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of k in k 1545821365.811 * [misc]backup-simplify: Simplify 0 into 0 1545821365.811 * [misc]backup-simplify: Simplify 1 into 1 1545821365.811 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.811 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.811 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.811 * [misc]backup-simplify: Simplify PI into PI 1545821365.811 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.811 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.811 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.811 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.812 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545821365.812 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.812 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of k in k 1545821365.812 * [misc]backup-simplify: Simplify 0 into 0 1545821365.812 * [misc]backup-simplify: Simplify 1 into 1 1545821365.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.812 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545821365.812 * [misc]taylor: Taking taylor expansion of 2 in k 1545821365.812 * [misc]backup-simplify: Simplify 2 into 2 1545821365.812 * [misc]taylor: Taking taylor expansion of n in k 1545821365.812 * [misc]backup-simplify: Simplify n into n 1545821365.812 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545821365.812 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545821365.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.813 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545821365.813 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545821365.813 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545821365.813 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.813 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545821365.813 * [misc]taylor: Taking taylor expansion of k in k 1545821365.813 * [misc]backup-simplify: Simplify 0 into 0 1545821365.813 * [misc]backup-simplify: Simplify 1 into 1 1545821365.813 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.813 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545821365.813 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545821365.814 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545821365.814 * [misc]taylor: Taking taylor expansion of 0 in n 1545821365.814 * [misc]backup-simplify: Simplify 0 into 0 1545821365.814 * [misc]backup-simplify: Simplify 0 into 0 1545821365.814 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1545821365.814 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.814 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.814 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.814 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of k in n 1545821365.814 * [misc]backup-simplify: Simplify k into k 1545821365.814 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.814 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.814 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.814 * [misc]backup-simplify: Simplify PI into PI 1545821365.815 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.815 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.815 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.815 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.815 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821365.815 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.815 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.815 * [misc]taylor: Taking taylor expansion of k in n 1545821365.815 * [misc]backup-simplify: Simplify k into k 1545821365.816 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.816 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.816 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.816 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.816 * [misc]backup-simplify: Simplify 2 into 2 1545821365.816 * [misc]taylor: Taking taylor expansion of n in n 1545821365.816 * [misc]backup-simplify: Simplify 0 into 0 1545821365.816 * [misc]backup-simplify: Simplify 1 into 1 1545821365.816 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.816 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.816 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.816 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.816 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.816 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.816 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.817 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.817 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.817 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821365.817 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.818 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.818 * [misc]backup-simplify: Simplify 0 into 0 1545821365.819 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.819 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545821365.819 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.819 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.819 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.819 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.819 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.819 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.819 * [misc]taylor: Taking taylor expansion of k in n 1545821365.819 * [misc]backup-simplify: Simplify k into k 1545821365.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.819 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.820 * [misc]backup-simplify: Simplify PI into PI 1545821365.820 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.820 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.820 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.820 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821365.820 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.820 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.820 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.820 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.821 * [misc]taylor: Taking taylor expansion of k in n 1545821365.821 * [misc]backup-simplify: Simplify k into k 1545821365.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.821 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.821 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.821 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.821 * [misc]backup-simplify: Simplify 2 into 2 1545821365.821 * [misc]taylor: Taking taylor expansion of n in n 1545821365.821 * [misc]backup-simplify: Simplify 0 into 0 1545821365.821 * [misc]backup-simplify: Simplify 1 into 1 1545821365.821 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.821 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.821 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.821 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.821 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.822 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.822 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.822 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.822 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821365.823 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.823 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545821365.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545821365.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.825 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.825 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.825 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.825 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.826 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545821365.826 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.828 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821365.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.828 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.829 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545821365.829 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.830 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1545821365.830 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545821365.830 * [misc]backup-simplify: Simplify (- 0) into 0 1545821365.830 * [misc]backup-simplify: Simplify 0 into 0 1545821365.830 * [misc]backup-simplify: Simplify 0 into 0 1545821365.831 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821365.831 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545821365.832 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1545821365.832 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.832 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.832 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.832 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of k in n 1545821365.832 * [misc]backup-simplify: Simplify k into k 1545821365.832 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.832 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.832 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.832 * [misc]backup-simplify: Simplify PI into PI 1545821365.832 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.832 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.832 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.832 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.832 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545821365.833 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545821365.833 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of k in n 1545821365.833 * [misc]backup-simplify: Simplify k into k 1545821365.833 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.833 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545821365.833 * [misc]taylor: Taking taylor expansion of 2 in n 1545821365.833 * [misc]backup-simplify: Simplify 2 into 2 1545821365.833 * [misc]taylor: Taking taylor expansion of n in n 1545821365.833 * [misc]backup-simplify: Simplify 0 into 0 1545821365.833 * [misc]backup-simplify: Simplify 1 into 1 1545821365.833 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545821365.833 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545821365.833 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.833 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545821365.833 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545821365.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545821365.834 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545821365.834 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545821365.834 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545821365.835 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545821365.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.835 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1545821365.837 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545821365.837 * [misc]backup-simplify: Simplify (* (/ 1 (* 1 (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))))) (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545821365.837 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1545821365.837 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of k in n 1545821365.837 * [misc]backup-simplify: Simplify k into k 1545821365.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.837 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.837 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.837 * [misc]backup-simplify: Simplify -2 into -2 1545821365.837 * [misc]taylor: Taking taylor expansion of n in n 1545821365.837 * [misc]backup-simplify: Simplify 0 into 0 1545821365.837 * [misc]backup-simplify: Simplify 1 into 1 1545821365.837 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.838 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.838 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.838 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.838 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.838 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.838 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.838 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.838 * [misc]taylor: Taking taylor expansion of k in n 1545821365.838 * [misc]backup-simplify: Simplify k into k 1545821365.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.839 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.839 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.839 * [misc]backup-simplify: Simplify PI into PI 1545821365.839 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.839 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.839 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.840 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821365.840 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.840 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545821365.840 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545821365.840 * [misc]taylor: Taking taylor expansion of -1 in n 1545821365.840 * [misc]backup-simplify: Simplify -1 into -1 1545821365.840 * [misc]taylor: Taking taylor expansion of k in n 1545821365.840 * [misc]backup-simplify: Simplify k into k 1545821365.840 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545821365.840 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545821365.840 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545821365.840 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545821365.840 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.841 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545821365.841 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.841 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of k in k 1545821365.841 * [misc]backup-simplify: Simplify 0 into 0 1545821365.841 * [misc]backup-simplify: Simplify 1 into 1 1545821365.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.841 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821365.841 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.841 * [misc]backup-simplify: Simplify -2 into -2 1545821365.841 * [misc]taylor: Taking taylor expansion of n in k 1545821365.841 * [misc]backup-simplify: Simplify n into n 1545821365.841 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821365.841 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821365.841 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.841 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.841 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821365.842 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.842 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of k in k 1545821365.842 * [misc]backup-simplify: Simplify 0 into 0 1545821365.842 * [misc]backup-simplify: Simplify 1 into 1 1545821365.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.842 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.842 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.842 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.842 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.842 * [misc]backup-simplify: Simplify PI into PI 1545821365.842 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.842 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.842 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.843 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.843 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821365.843 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821365.843 * [misc]taylor: Taking taylor expansion of -1 in k 1545821365.843 * [misc]backup-simplify: Simplify -1 into -1 1545821365.843 * [misc]taylor: Taking taylor expansion of k in k 1545821365.843 * [misc]backup-simplify: Simplify 0 into 0 1545821365.843 * [misc]backup-simplify: Simplify 1 into 1 1545821365.843 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821365.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.843 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821365.844 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.844 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.844 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of k in k 1545821365.844 * [misc]backup-simplify: Simplify 0 into 0 1545821365.844 * [misc]backup-simplify: Simplify 1 into 1 1545821365.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.844 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545821365.844 * [misc]taylor: Taking taylor expansion of -2 in k 1545821365.844 * [misc]backup-simplify: Simplify -2 into -2 1545821365.844 * [misc]taylor: Taking taylor expansion of n in k 1545821365.844 * [misc]backup-simplify: Simplify n into n 1545821365.844 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545821365.844 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545821365.844 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.844 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.845 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545821365.845 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.845 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of k in k 1545821365.845 * [misc]backup-simplify: Simplify 0 into 0 1545821365.845 * [misc]backup-simplify: Simplify 1 into 1 1545821365.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545821365.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545821365.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.845 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545821365.845 * [misc]taylor: Taking taylor expansion of PI in k 1545821365.845 * [misc]backup-simplify: Simplify PI into PI 1545821365.845 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.845 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545821365.845 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545821365.846 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545821365.846 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545821365.846 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545821365.846 * [misc]taylor: Taking taylor expansion of -1 in k 1545821365.846 * [misc]backup-simplify: Simplify -1 into -1 1545821365.846 * [misc]taylor: Taking taylor expansion of k in k 1545821365.846 * [misc]backup-simplify: Simplify 0 into 0 1545821365.846 * [misc]backup-simplify: Simplify 1 into 1 1545821365.846 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545821365.846 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545821365.846 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545821365.847 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.847 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.847 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.847 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of k in n 1545821365.847 * [misc]backup-simplify: Simplify k into k 1545821365.847 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.847 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.847 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.847 * [misc]backup-simplify: Simplify -2 into -2 1545821365.847 * [misc]taylor: Taking taylor expansion of n in n 1545821365.847 * [misc]backup-simplify: Simplify 0 into 0 1545821365.847 * [misc]backup-simplify: Simplify 1 into 1 1545821365.847 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.848 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.848 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.848 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.848 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.849 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.849 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.849 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of k in n 1545821365.849 * [misc]backup-simplify: Simplify k into k 1545821365.849 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.849 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.849 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.849 * [misc]backup-simplify: Simplify PI into PI 1545821365.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.850 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.850 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.850 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821365.851 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.851 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.851 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.852 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.852 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545821365.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545821365.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545821365.854 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.855 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.855 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of k in n 1545821365.855 * [misc]backup-simplify: Simplify k into k 1545821365.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.855 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.855 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.855 * [misc]backup-simplify: Simplify -2 into -2 1545821365.855 * [misc]taylor: Taking taylor expansion of n in n 1545821365.855 * [misc]backup-simplify: Simplify 0 into 0 1545821365.855 * [misc]backup-simplify: Simplify 1 into 1 1545821365.856 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.856 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.856 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.857 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.857 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.857 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.857 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of k in n 1545821365.857 * [misc]backup-simplify: Simplify k into k 1545821365.857 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.857 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.857 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.857 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.857 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.857 * [misc]backup-simplify: Simplify PI into PI 1545821365.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.858 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.858 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.858 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821365.859 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.859 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.860 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.860 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.861 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.863 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545821365.863 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.864 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545821365.866 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545821365.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545821365.869 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545821365.869 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545821365.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545821365.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.870 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545821365.871 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545821365.872 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545821365.872 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545821365.872 * [misc]backup-simplify: Simplify 0 into 0 1545821365.873 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545821365.873 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545821365.874 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545821365.876 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.876 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545821365.876 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545821365.876 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of k in n 1545821365.876 * [misc]backup-simplify: Simplify k into k 1545821365.876 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.876 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545821365.876 * [misc]taylor: Taking taylor expansion of -2 in n 1545821365.876 * [misc]backup-simplify: Simplify -2 into -2 1545821365.876 * [misc]taylor: Taking taylor expansion of n in n 1545821365.876 * [misc]backup-simplify: Simplify 0 into 0 1545821365.876 * [misc]backup-simplify: Simplify 1 into 1 1545821365.877 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545821365.877 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545821365.877 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.877 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.877 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545821365.878 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545821365.878 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545821365.878 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545821365.878 * [misc]taylor: Taking taylor expansion of k in n 1545821365.878 * [misc]backup-simplify: Simplify k into k 1545821365.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545821365.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545821365.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545821365.879 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545821365.879 * [misc]taylor: Taking taylor expansion of PI in n 1545821365.879 * [misc]backup-simplify: Simplify PI into PI 1545821365.879 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545821365.879 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545821365.879 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545821365.879 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545821365.880 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545821365.880 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545821365.881 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545821365.881 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.882 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1545821365.884 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545821365.884 * * * [misc]progress: simplifying candidates 1545821365.884 * * * * [misc]progress: [ 1 / 119 ] simplifiying candidate # 1545821365.885 * * * * [misc]progress: [ 2 / 119 ] simplifiying candidate # 1545821365.885 * * * * [misc]progress: [ 3 / 119 ] simplifiying candidate # 1545821365.885 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545821365.885 * * [misc]simplify: iters left: 6 (9 enodes) 1545821365.889 * * [misc]simplify: iters left: 5 (16 enodes) 1545821365.895 * * [misc]simplify: iters left: 4 (32 enodes) 1545821365.906 * * [misc]simplify: iters left: 3 (72 enodes) 1545821365.947 * * [misc]simplify: iters left: 2 (195 enodes) 1545821366.016 * * [misc]simplify: iters left: 1 (347 enodes) 1545821366.182 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545821366.182 * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.182 * * * * [misc]progress: [ 4 / 119 ] simplifiying candidate # 1545821366.183 * * * * [misc]progress: [ 5 / 119 ] simplifiying candidate # 1545821366.183 * [enter]simplify: Simplifying (* n 2) 1545821366.183 * * [misc]simplify: iters left: 2 (3 enodes) 1545821366.184 * * [misc]simplify: iters left: 1 (4 enodes) 1545821366.185 * [exit]simplify: Simplified to (* n 2) 1545821366.185 * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.185 * * * * [misc]progress: [ 6 / 119 ] simplifiying candidate # 1545821366.185 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545821366.185 * * [misc]simplify: iters left: 3 (6 enodes) 1545821366.187 * * [misc]simplify: iters left: 2 (7 enodes) 1545821366.189 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545821366.189 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.189 * * * * [misc]progress: [ 7 / 119 ] simplifiying candidate # 1545821366.190 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821366.190 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.191 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.194 * * [misc]simplify: iters left: 3 (11 enodes) 1545821366.197 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821366.197 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.197 * * * * [misc]progress: [ 8 / 119 ] simplifiying candidate # 1545821366.197 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821366.197 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.199 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.201 * * [misc]simplify: iters left: 3 (11 enodes) 1545821366.204 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821366.204 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.204 * * * * [misc]progress: [ 9 / 119 ] simplifiying candidate # 1545821366.205 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821366.205 * * [misc]simplify: iters left: 4 (5 enodes) 1545821366.206 * * [misc]simplify: iters left: 3 (7 enodes) 1545821366.209 * * [misc]simplify: iters left: 2 (10 enodes) 1545821366.212 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821366.212 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.212 * * * * [misc]progress: [ 10 / 119 ] simplifiying candidate # 1545821366.212 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821366.212 * * [misc]simplify: iters left: 5 (7 enodes) 1545821366.214 * * [misc]simplify: iters left: 4 (10 enodes) 1545821366.217 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821366.217 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.217 * * * * [misc]progress: [ 11 / 119 ] simplifiying candidate # 1545821366.217 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821366.218 * * [misc]simplify: iters left: 5 (7 enodes) 1545821366.220 * * [misc]simplify: iters left: 4 (10 enodes) 1545821366.223 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821366.223 * [misc]simplify: Simplified (2 1 2 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.223 * * * * [misc]progress: [ 12 / 119 ] simplifiying candidate # 1545821366.223 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545821366.223 * * [misc]simplify: iters left: 5 (7 enodes) 1545821366.226 * * [misc]simplify: iters left: 4 (9 enodes) 1545821366.228 * * [misc]simplify: iters left: 3 (12 enodes) 1545821366.232 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545821366.232 * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.232 * * * * [misc]progress: [ 13 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 14 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 15 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 16 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 17 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 18 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 19 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 20 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 21 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 22 / 119 ] simplifiying candidate # 1545821366.232 * * * * [misc]progress: [ 23 / 119 ] simplifiying candidate # 1545821366.233 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545821366.233 * * [misc]simplify: iters left: 3 (5 enodes) 1545821366.234 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545821366.234 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI 1/2) (pow PI (/ k 2))))) 1545821366.234 * * * * [misc]progress: [ 24 / 119 ] simplifiying candidate # 1545821366.235 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545821366.235 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.236 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.239 * * [misc]simplify: iters left: 3 (11 enodes) 1545821366.242 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545821366.242 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) 1545821366.242 * * * * [misc]progress: [ 25 / 119 ] simplifiying candidate # 1545821366.243 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545821366.243 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.245 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.247 * * [misc]simplify: iters left: 3 (11 enodes) 1545821366.250 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545821366.250 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) 1545821366.251 * * * * [misc]progress: [ 26 / 119 ] simplifiying candidate # 1545821366.251 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545821366.251 * * [misc]simplify: iters left: 4 (5 enodes) 1545821366.253 * * [misc]simplify: iters left: 3 (7 enodes) 1545821366.255 * * [misc]simplify: iters left: 2 (10 enodes) 1545821366.258 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545821366.258 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow (pow PI 1) (- 1/2 (/ k 2))))) 1545821366.258 * * * * [misc]progress: [ 27 / 119 ] simplifiying candidate # 1545821366.259 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821366.259 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.261 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.263 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821366.263 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (* (pow PI 1/2) (pow PI (/ (- k) 2))))) 1545821366.263 * * * * [misc]progress: [ 28 / 119 ] simplifiying candidate # 1545821366.264 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821366.264 * * [misc]simplify: iters left: 5 (6 enodes) 1545821366.266 * * [misc]simplify: iters left: 4 (8 enodes) 1545821366.268 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821366.268 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (* (pow PI 1/2) (pow PI (/ (- k) 2))))) 1545821366.268 * * * * [misc]progress: [ 29 / 119 ] simplifiying candidate # 1545821366.268 * * * * [misc]progress: [ 30 / 119 ] simplifiying candidate # 1545821366.268 * * * * [misc]progress: [ 31 / 119 ] simplifiying candidate # 1545821366.268 * * * * [misc]progress: [ 32 / 119 ] simplifiying candidate # 1545821366.268 * * * * [misc]progress: [ 33 / 119 ] simplifiying candidate # 1545821366.268 * * * * [misc]progress: [ 34 / 119 ] simplifiying candidate # 1545821366.269 * * * * [misc]progress: [ 35 / 119 ] simplifiying candidate # 1545821366.269 * * * * [misc]progress: [ 36 / 119 ] simplifiying candidate # 1545821366.269 * * * * [misc]progress: [ 37 / 119 ] simplifiying candidate # 1545821366.269 * * * * [misc]progress: [ 38 / 119 ] simplifiying candidate # 1545821366.269 * * * * [misc]progress: [ 39 / 119 ] simplifiying candidate # 1545821366.269 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545821366.269 * * [misc]simplify: iters left: 6 (12 enodes) 1545821366.275 * * [misc]simplify: iters left: 5 (21 enodes) 1545821366.283 * * [misc]simplify: iters left: 4 (44 enodes) 1545821366.305 * * [misc]simplify: iters left: 3 (133 enodes) 1545821366.348 * * [misc]simplify: iters left: 2 (353 enodes) 1545821366.484 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545821366.484 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.484 * * * * [misc]progress: [ 40 / 119 ] simplifiying candidate # 1545821366.484 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545821366.484 * * [misc]simplify: iters left: 6 (12 enodes) 1545821366.487 * * [misc]simplify: iters left: 5 (21 enodes) 1545821366.490 * * [misc]simplify: iters left: 4 (44 enodes) 1545821366.504 * * [misc]simplify: iters left: 3 (133 enodes) 1545821366.572 * * [misc]simplify: iters left: 2 (353 enodes) 1545821366.730 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1545821366.730 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.730 * * * * [misc]progress: [ 41 / 119 ] simplifiying candidate # 1545821366.730 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545821366.730 * * [misc]simplify: iters left: 6 (12 enodes) 1545821366.734 * * [misc]simplify: iters left: 5 (19 enodes) 1545821366.741 * * [misc]simplify: iters left: 4 (32 enodes) 1545821366.752 * * [misc]simplify: iters left: 3 (69 enodes) 1545821366.784 * * [misc]simplify: iters left: 2 (200 enodes) 1545821366.875 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1545821366.875 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.875 * * * * [misc]progress: [ 42 / 119 ] simplifiying candidate # 1545821366.875 * * * * [misc]progress: [ 43 / 119 ] simplifiying candidate # 1545821366.875 * * * * [misc]progress: [ 44 / 119 ] simplifiying candidate # 1545821366.875 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545821366.876 * * [misc]simplify: iters left: 6 (14 enodes) 1545821366.878 * * [misc]simplify: iters left: 5 (26 enodes) 1545821366.882 * * [misc]simplify: iters left: 4 (54 enodes) 1545821366.890 * * [misc]simplify: iters left: 3 (86 enodes) 1545821366.918 * * [misc]simplify: iters left: 2 (112 enodes) 1545821366.952 * * [misc]simplify: iters left: 1 (119 enodes) 1545821366.970 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545821366.970 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.970 * * * * [misc]progress: [ 45 / 119 ] simplifiying candidate # 1545821366.970 * * * * [misc]progress: [ 46 / 119 ] simplifiying candidate # 1545821366.970 * * * * [misc]progress: [ 47 / 119 ] simplifiying candidate # 1545821366.970 * * * * [misc]progress: [ 48 / 119 ] simplifiying candidate # 1545821366.970 * * * * [misc]progress: [ 49 / 119 ] simplifiying candidate # 1545821366.970 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545821366.971 * * [misc]simplify: iters left: 6 (10 enodes) 1545821366.972 * * [misc]simplify: iters left: 5 (14 enodes) 1545821366.974 * * [misc]simplify: iters left: 4 (16 enodes) 1545821366.976 * * [misc]simplify: iters left: 3 (17 enodes) 1545821366.978 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545821366.978 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.979 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821366.979 * * [misc]simplify: iters left: 6 (10 enodes) 1545821366.980 * * [misc]simplify: iters left: 5 (13 enodes) 1545821366.982 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821366.982 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.982 * * * * [misc]progress: [ 50 / 119 ] simplifiying candidate # 1545821366.982 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1545821366.982 * * [misc]simplify: iters left: 6 (10 enodes) 1545821366.984 * * [misc]simplify: iters left: 5 (14 enodes) 1545821366.986 * * [misc]simplify: iters left: 4 (16 enodes) 1545821366.988 * * [misc]simplify: iters left: 3 (17 enodes) 1545821366.990 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1545821366.990 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.990 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821366.990 * * [misc]simplify: iters left: 6 (10 enodes) 1545821366.992 * * [misc]simplify: iters left: 5 (13 enodes) 1545821366.993 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821366.993 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821366.994 * * * * [misc]progress: [ 51 / 119 ] simplifiying candidate # 1545821366.994 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545821366.994 * * [misc]simplify: iters left: 6 (11 enodes) 1545821366.996 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.000 * * [misc]simplify: iters left: 4 (20 enodes) 1545821367.006 * * [misc]simplify: iters left: 3 (21 enodes) 1545821367.012 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1545821367.012 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.012 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821367.012 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.015 * * [misc]simplify: iters left: 5 (11 enodes) 1545821367.018 * * [misc]simplify: iters left: 4 (14 enodes) 1545821367.022 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821367.022 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.022 * * * * [misc]progress: [ 52 / 119 ] simplifiying candidate # 1545821367.023 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821367.023 * * [misc]simplify: iters left: 6 (14 enodes) 1545821367.029 * * [misc]simplify: iters left: 5 (23 enodes) 1545821367.036 * * [misc]simplify: iters left: 4 (35 enodes) 1545821367.041 * * [misc]simplify: iters left: 3 (38 enodes) 1545821367.045 * * [misc]simplify: iters left: 2 (41 enodes) 1545821367.050 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821367.051 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.051 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.051 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.052 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.054 * * [misc]simplify: iters left: 4 (18 enodes) 1545821367.057 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.057 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.057 * * * * [misc]progress: [ 53 / 119 ] simplifiying candidate # 1545821367.057 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.057 * * [misc]simplify: iters left: 6 (13 enodes) 1545821367.059 * * [misc]simplify: iters left: 5 (18 enodes) 1545821367.061 * * [misc]simplify: iters left: 4 (23 enodes) 1545821367.064 * * [misc]simplify: iters left: 3 (24 enodes) 1545821367.067 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.067 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.068 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.068 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.069 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.071 * * [misc]simplify: iters left: 4 (18 enodes) 1545821367.076 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.076 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.076 * * * * [misc]progress: [ 54 / 119 ] simplifiying candidate # 1545821367.077 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545821367.077 * * [misc]simplify: iters left: 6 (6 enodes) 1545821367.079 * * [misc]simplify: iters left: 5 (10 enodes) 1545821367.082 * * [misc]simplify: iters left: 4 (16 enodes) 1545821367.086 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821367.086 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.087 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.087 * * [misc]simplify: iters left: 6 (11 enodes) 1545821367.090 * * [misc]simplify: iters left: 5 (14 enodes) 1545821367.094 * * [misc]simplify: iters left: 4 (17 enodes) 1545821367.099 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.099 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.099 * * * * [misc]progress: [ 55 / 119 ] simplifiying candidate # 1545821367.099 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545821367.099 * * [misc]simplify: iters left: 5 (9 enodes) 1545821367.102 * * [misc]simplify: iters left: 4 (11 enodes) 1545821367.105 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545821367.105 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.105 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821367.105 * * [misc]simplify: iters left: 6 (10 enodes) 1545821367.108 * * [misc]simplify: iters left: 5 (13 enodes) 1545821367.112 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821367.112 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.112 * * * * [misc]progress: [ 56 / 119 ] simplifiying candidate # 1545821367.112 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1545821367.112 * * [misc]simplify: iters left: 5 (9 enodes) 1545821367.113 * * [misc]simplify: iters left: 4 (11 enodes) 1545821367.115 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1545821367.115 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.115 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1545821367.115 * * [misc]simplify: iters left: 6 (10 enodes) 1545821367.116 * * [misc]simplify: iters left: 5 (13 enodes) 1545821367.118 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1545821367.118 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.118 * * * * [misc]progress: [ 57 / 119 ] simplifiying candidate # 1545821367.118 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545821367.119 * * [misc]simplify: iters left: 6 (10 enodes) 1545821367.120 * * [misc]simplify: iters left: 5 (12 enodes) 1545821367.122 * * [misc]simplify: iters left: 4 (15 enodes) 1545821367.124 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1545821367.124 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.124 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821367.124 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.126 * * [misc]simplify: iters left: 5 (11 enodes) 1545821367.128 * * [misc]simplify: iters left: 4 (14 enodes) 1545821367.130 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1545821367.130 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.130 * * * * [misc]progress: [ 58 / 119 ] simplifiying candidate # 1545821367.130 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821367.130 * * [misc]simplify: iters left: 6 (13 enodes) 1545821367.132 * * [misc]simplify: iters left: 5 (18 enodes) 1545821367.135 * * [misc]simplify: iters left: 4 (21 enodes) 1545821367.138 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821367.138 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.138 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.138 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.140 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.141 * * [misc]simplify: iters left: 4 (18 enodes) 1545821367.144 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.144 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.144 * * * * [misc]progress: [ 59 / 119 ] simplifiying candidate # 1545821367.144 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.144 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.146 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.148 * * [misc]simplify: iters left: 4 (18 enodes) 1545821367.150 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.150 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.150 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.152 * * [misc]simplify: iters left: 5 (15 enodes) 1545821367.154 * * [misc]simplify: iters left: 4 (18 enodes) 1545821367.156 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.156 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.156 * * * * [misc]progress: [ 60 / 119 ] simplifiying candidate # 1545821367.157 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545821367.157 * * [misc]simplify: iters left: 4 (5 enodes) 1545821367.157 * * [misc]simplify: iters left: 3 (7 enodes) 1545821367.159 * * [misc]simplify: iters left: 2 (9 enodes) 1545821367.159 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821367.160 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.160 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.160 * * [misc]simplify: iters left: 6 (11 enodes) 1545821367.161 * * [misc]simplify: iters left: 5 (14 enodes) 1545821367.163 * * [misc]simplify: iters left: 4 (17 enodes) 1545821367.165 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.165 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.165 * * * * [misc]progress: [ 61 / 119 ] simplifiying candidate # 1545821367.166 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545821367.166 * * [misc]simplify: iters left: 5 (7 enodes) 1545821367.167 * * [misc]simplify: iters left: 4 (11 enodes) 1545821367.168 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545821367.168 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.168 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545821367.168 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.169 * * [misc]simplify: iters left: 5 (12 enodes) 1545821367.171 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545821367.171 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.171 * * * * [misc]progress: [ 62 / 119 ] simplifiying candidate # 1545821367.171 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1545821367.171 * * [misc]simplify: iters left: 5 (7 enodes) 1545821367.173 * * [misc]simplify: iters left: 4 (11 enodes) 1545821367.176 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1545821367.176 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.176 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1545821367.177 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.179 * * [misc]simplify: iters left: 5 (12 enodes) 1545821367.182 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1545821367.183 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.183 * * * * [misc]progress: [ 63 / 119 ] simplifiying candidate # 1545821367.183 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1545821367.183 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.186 * * [misc]simplify: iters left: 5 (13 enodes) 1545821367.189 * * [misc]simplify: iters left: 4 (16 enodes) 1545821367.194 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1545821367.194 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.194 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545821367.194 * * [misc]simplify: iters left: 6 (8 enodes) 1545821367.196 * * [misc]simplify: iters left: 5 (10 enodes) 1545821367.197 * * [misc]simplify: iters left: 4 (13 enodes) 1545821367.199 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1545821367.199 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.199 * * * * [misc]progress: [ 64 / 119 ] simplifiying candidate # 1545821367.199 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821367.199 * * [misc]simplify: iters left: 6 (12 enodes) 1545821367.201 * * [misc]simplify: iters left: 5 (19 enodes) 1545821367.203 * * [misc]simplify: iters left: 4 (22 enodes) 1545821367.206 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545821367.206 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.206 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.206 * * [misc]simplify: iters left: 6 (11 enodes) 1545821367.208 * * [misc]simplify: iters left: 5 (14 enodes) 1545821367.211 * * [misc]simplify: iters left: 4 (17 enodes) 1545821367.213 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.213 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.213 * * * * [misc]progress: [ 65 / 119 ] simplifiying candidate # 1545821367.213 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.213 * * [misc]simplify: iters left: 6 (11 enodes) 1545821367.215 * * [misc]simplify: iters left: 5 (16 enodes) 1545821367.217 * * [misc]simplify: iters left: 4 (19 enodes) 1545821367.220 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1545821367.220 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.220 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.220 * * [misc]simplify: iters left: 6 (11 enodes) 1545821367.221 * * [misc]simplify: iters left: 5 (14 enodes) 1545821367.223 * * [misc]simplify: iters left: 4 (17 enodes) 1545821367.225 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545821367.226 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.226 * * * * [misc]progress: [ 66 / 119 ] simplifiying candidate # 1545821367.226 * [enter]simplify: Simplifying (/ 1 1) 1545821367.226 * * [misc]simplify: iters left: 2 (2 enodes) 1545821367.226 * * [misc]simplify: iters left: 1 (4 enodes) 1545821367.226 * [exit]simplify: Simplified to 1 1545821367.227 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.227 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.227 * * [misc]simplify: iters left: 6 (10 enodes) 1545821367.228 * * [misc]simplify: iters left: 5 (13 enodes) 1545821367.230 * * [misc]simplify: iters left: 4 (16 enodes) 1545821367.232 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.232 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.232 * * * * [misc]progress: [ 67 / 119 ] simplifiying candidate # 1545821367.232 * * * * [misc]progress: [ 68 / 119 ] simplifiying candidate # 1545821367.232 * * * * [misc]progress: [ 69 / 119 ] simplifiying candidate # 1545821367.232 * * * * [misc]progress: [ 70 / 119 ] simplifiying candidate # 1545821367.232 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821367.232 * * [misc]simplify: iters left: 5 (7 enodes) 1545821367.233 * * [misc]simplify: iters left: 4 (10 enodes) 1545821367.235 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821367.235 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.235 * * * * [misc]progress: [ 71 / 119 ] simplifiying candidate # 1545821367.235 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545821367.235 * * [misc]simplify: iters left: 5 (7 enodes) 1545821367.236 * * [misc]simplify: iters left: 4 (10 enodes) 1545821367.237 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545821367.237 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.237 * * * * [misc]progress: [ 72 / 119 ] simplifiying candidate # 1545821367.237 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545821367.237 * * [misc]simplify: iters left: 5 (6 enodes) 1545821367.239 * * [misc]simplify: iters left: 4 (8 enodes) 1545821367.240 * * [misc]simplify: iters left: 3 (11 enodes) 1545821367.243 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545821367.243 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.243 * * * * [misc]progress: [ 73 / 119 ] simplifiying candidate # 1545821367.244 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.244 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.247 * * [misc]simplify: iters left: 5 (12 enodes) 1545821367.250 * * [misc]simplify: iters left: 4 (15 enodes) 1545821367.254 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.254 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.254 * * * * [misc]progress: [ 74 / 119 ] simplifiying candidate # 1545821367.254 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.254 * * [misc]simplify: iters left: 6 (9 enodes) 1545821367.257 * * [misc]simplify: iters left: 5 (12 enodes) 1545821367.260 * * [misc]simplify: iters left: 4 (15 enodes) 1545821367.264 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545821367.264 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.265 * * * * [misc]progress: [ 75 / 119 ] simplifiying candidate # 1545821367.265 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545821367.265 * * [misc]simplify: iters left: 5 (8 enodes) 1545821367.267 * * [misc]simplify: iters left: 4 (11 enodes) 1545821367.270 * * [misc]simplify: iters left: 3 (14 enodes) 1545821367.273 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545821367.273 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.273 * * * * [misc]progress: [ 76 / 119 ] simplifiying candidate # 1545821367.273 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821367.273 * * [misc]simplify: iters left: 4 (4 enodes) 1545821367.273 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545821367.274 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.274 * * * * [misc]progress: [ 77 / 119 ] simplifiying candidate # 1545821367.274 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545821367.274 * * [misc]simplify: iters left: 2 (3 enodes) 1545821367.274 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545821367.274 * [misc]simplify: Simplified (2 1 2 2 1) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.274 * * * * [misc]progress: [ 78 / 119 ] simplifiying candidate # 1545821367.274 * * * * [misc]progress: [ 79 / 119 ] simplifiying candidate # 1545821367.274 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545821367.274 * * [misc]simplify: iters left: 3 (6 enodes) 1545821367.275 * * [misc]simplify: iters left: 2 (7 enodes) 1545821367.276 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545821367.276 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) (pow PI (- 1/2 (/ k 2))))) 1545821367.276 * * * * [misc]progress: [ 80 / 119 ] simplifiying candidate # 1545821367.276 * * * * [misc]progress: [ 81 / 119 ] simplifiying candidate # 1545821367.276 * * * * [misc]progress: [ 82 / 119 ] simplifiying candidate # 1545821367.276 * * * * [misc]progress: [ 83 / 119 ] simplifiying candidate # 1545821367.277 * [enter]simplify: Simplifying (+ (- (log (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (* (log PI) (- 1/2 (/ k 2)))) 1545821367.277 * * [misc]simplify: iters left: 6 (18 enodes) 1545821367.280 * * [misc]simplify: iters left: 5 (31 enodes) 1545821367.285 * * [misc]simplify: iters left: 4 (55 enodes) 1545821367.296 * * [misc]simplify: iters left: 3 (99 enodes) 1545821367.322 * * [misc]simplify: iters left: 2 (181 enodes) 1545821367.378 * * [misc]simplify: iters left: 1 (322 enodes) 1545821367.636 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1545821367.637 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1545821367.637 * * * * [misc]progress: [ 84 / 119 ] simplifiying candidate # 1545821367.637 * [enter]simplify: Simplifying (+ (- (log (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (log (pow PI (- 1/2 (/ k 2))))) 1545821367.637 * * [misc]simplify: iters left: 6 (18 enodes) 1545821367.644 * * [misc]simplify: iters left: 5 (32 enodes) 1545821367.654 * * [misc]simplify: iters left: 4 (50 enodes) 1545821367.668 * * [misc]simplify: iters left: 3 (79 enodes) 1545821367.701 * * [misc]simplify: iters left: 2 (166 enodes) 1545821367.765 * * [misc]simplify: iters left: 1 (300 enodes) 1545821367.955 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1545821367.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))))) 1545821367.956 * * * * [misc]progress: [ 85 / 119 ] simplifiying candidate # 1545821367.956 * [enter]simplify: Simplifying (+ (log (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (* (log PI) (- 1/2 (/ k 2)))) 1545821367.957 * * [misc]simplify: iters left: 6 (18 enodes) 1545821367.964 * * [misc]simplify: iters left: 5 (34 enodes) 1545821367.975 * * [misc]simplify: iters left: 4 (61 enodes) 1545821367.994 * * [misc]simplify: iters left: 3 (124 enodes) 1545821368.023 * * [misc]simplify: iters left: 2 (233 enodes) 1545821368.114 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1545821368.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1545821368.114 * * * * [misc]progress: [ 86 / 119 ] simplifiying candidate # 1545821368.114 * [enter]simplify: Simplifying (+ (log (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (log (pow PI (- 1/2 (/ k 2))))) 1545821368.114 * * [misc]simplify: iters left: 6 (18 enodes) 1545821368.118 * * [misc]simplify: iters left: 5 (35 enodes) 1545821368.127 * * [misc]simplify: iters left: 4 (56 enodes) 1545821368.150 * * [misc]simplify: iters left: 3 (104 enodes) 1545821368.191 * * [misc]simplify: iters left: 2 (225 enodes) 1545821368.282 * * [misc]simplify: iters left: 1 (463 enodes) 1545821368.664 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))) 1545821368.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (- (log (sqrt k)))))) 1545821368.664 * * * * [misc]progress: [ 87 / 119 ] simplifiying candidate # 1545821368.664 * * * * [misc]progress: [ 88 / 119 ] simplifiying candidate # 1545821368.664 * * * * [misc]progress: [ 89 / 119 ] simplifiying candidate # 1545821368.664 * [enter]simplify: Simplifying (* (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) 1545821368.665 * * [misc]simplify: iters left: 6 (20 enodes) 1545821368.669 * * [misc]simplify: iters left: 5 (43 enodes) 1545821368.681 * * [misc]simplify: iters left: 4 (97 enodes) 1545821368.710 * * [misc]simplify: iters left: 3 (252 enodes) 1545821368.958 * [exit]simplify: Simplified to (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545821368.958 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))))) 1545821368.958 * * * * [misc]progress: [ 90 / 119 ] simplifiying candidate # 1545821368.958 * * * * [misc]progress: [ 91 / 119 ] simplifiying candidate # 1545821368.958 * * * * [misc]progress: [ 92 / 119 ] simplifiying candidate # 1545821368.958 * * * * [misc]progress: [ 93 / 119 ] simplifiying candidate # 1545821368.958 * [enter]simplify: Simplifying (* 1 (pow PI 1/2)) 1545821368.959 * * [misc]simplify: iters left: 3 (5 enodes) 1545821368.960 * * [misc]simplify: iters left: 2 (9 enodes) 1545821368.963 * * [misc]simplify: iters left: 1 (12 enodes) 1545821368.965 * [exit]simplify: Simplified to (sqrt PI) 1545821368.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (/ k 2))))) 1545821368.966 * [enter]simplify: Simplifying (* (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (/ k 2))) 1545821368.966 * * [misc]simplify: iters left: 6 (15 enodes) 1545821368.969 * * [misc]simplify: iters left: 5 (25 enodes) 1545821368.973 * * [misc]simplify: iters left: 4 (43 enodes) 1545821368.979 * * [misc]simplify: iters left: 3 (56 enodes) 1545821368.989 * * [misc]simplify: iters left: 2 (67 enodes) 1545821368.998 * * [misc]simplify: iters left: 1 (81 enodes) 1545821369.009 * [exit]simplify: Simplified to (/ (* (pow PI (/ k 2)) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545821369.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (sqrt PI) (/ (* (pow PI (/ k 2)) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545821369.009 * * * * [misc]progress: [ 94 / 119 ] simplifiying candidate # 1545821369.009 * * * * [misc]progress: [ 95 / 119 ] simplifiying candidate # 1545821369.009 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821369.009 * * [misc]simplify: iters left: 5 (6 enodes) 1545821369.010 * * [misc]simplify: iters left: 4 (8 enodes) 1545821369.011 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821369.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI 1/2)) (pow PI (/ (- k) 2)))) 1545821369.011 * * * * [misc]progress: [ 96 / 119 ] simplifiying candidate # 1545821369.011 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545821369.011 * * [misc]simplify: iters left: 5 (6 enodes) 1545821369.012 * * [misc]simplify: iters left: 4 (8 enodes) 1545821369.013 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545821369.013 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI 1/2)) (pow PI (/ (- k) 2)))) 1545821369.013 * * * * [misc]progress: [ 97 / 119 ] simplifiying candidate # 1545821369.013 * [enter]simplify: Simplifying (cbrt (pow PI (- 1/2 (/ k 2)))) 1545821369.013 * * [misc]simplify: iters left: 6 (8 enodes) 1545821369.014 * * [misc]simplify: iters left: 5 (10 enodes) 1545821369.017 * * [misc]simplify: iters left: 4 (13 enodes) 1545821369.020 * [exit]simplify: Simplified to (cbrt (pow PI (- 1/2 (/ k 2)))) 1545821369.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1545821369.020 * * * * [misc]progress: [ 98 / 119 ] simplifiying candidate # 1545821369.020 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545821369.021 * * [misc]simplify: iters left: 6 (8 enodes) 1545821369.023 * * [misc]simplify: iters left: 5 (10 enodes) 1545821369.026 * * [misc]simplify: iters left: 4 (13 enodes) 1545821369.029 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545821369.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1545821369.029 * * * * [misc]progress: [ 99 / 119 ] simplifiying candidate # 1545821369.029 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545821369.029 * * [misc]simplify: iters left: 5 (7 enodes) 1545821369.032 * * [misc]simplify: iters left: 4 (9 enodes) 1545821369.034 * * [misc]simplify: iters left: 3 (12 enodes) 1545821369.037 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821369.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1) (pow PI (- 1/2 (/ k 2))))) 1545821369.037 * * * * [misc]progress: [ 100 / 119 ] simplifiying candidate # 1545821369.038 * [enter]simplify: Simplifying (* (cbrt (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545821369.038 * * [misc]simplify: iters left: 6 (15 enodes) 1545821369.044 * * [misc]simplify: iters left: 5 (25 enodes) 1545821369.051 * * [misc]simplify: iters left: 4 (36 enodes) 1545821369.060 * * [misc]simplify: iters left: 3 (43 enodes) 1545821369.071 * * [misc]simplify: iters left: 2 (54 enodes) 1545821369.086 * * [misc]simplify: iters left: 1 (64 enodes) 1545821369.100 * [exit]simplify: Simplified to (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545821369.100 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (* (cbrt (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2)))))) 1545821369.100 * * * * [misc]progress: [ 101 / 119 ] simplifiying candidate # 1545821369.100 * [enter]simplify: Simplifying (sqrt (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821369.100 * * [misc]simplify: iters left: 6 (14 enodes) 1545821369.103 * * [misc]simplify: iters left: 5 (24 enodes) 1545821369.107 * * [misc]simplify: iters left: 4 (35 enodes) 1545821369.111 * * [misc]simplify: iters left: 3 (42 enodes) 1545821369.116 * * [misc]simplify: iters left: 2 (53 enodes) 1545821369.126 * * [misc]simplify: iters left: 1 (63 enodes) 1545821369.145 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545821369.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (* (sqrt (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (pow PI (- 1/2 (/ k 2)))))) 1545821369.145 * * * * [misc]progress: [ 102 / 119 ] simplifiying candidate # 1545821369.145 * * * * [misc]progress: [ 103 / 119 ] simplifiying candidate # 1545821369.145 * * * * [misc]progress: [ 104 / 119 ] simplifiying candidate # 1545821369.146 * [enter]simplify: Simplifying (/ 1 (* 1 (sqrt k))) 1545821369.146 * * [misc]simplify: iters left: 5 (5 enodes) 1545821369.148 * * [misc]simplify: iters left: 4 (10 enodes) 1545821369.151 * * [misc]simplify: iters left: 3 (12 enodes) 1545821369.153 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545821369.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545821369.153 * * * * [misc]progress: [ 105 / 119 ] simplifiying candidate # 1545821369.153 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545821369.154 * * [misc]simplify: iters left: 3 (5 enodes) 1545821369.155 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545821369.155 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI 1/2)) (pow PI (/ k 2)))) 1545821369.155 * * * * [misc]progress: [ 106 / 119 ] simplifiying candidate # 1545821369.155 * [enter]simplify: Simplifying (* 1 (pow PI (- 1/2 (/ k 2)))) 1545821369.156 * * [misc]simplify: iters left: 6 (9 enodes) 1545821369.159 * * [misc]simplify: iters left: 5 (14 enodes) 1545821369.163 * * [misc]simplify: iters left: 4 (19 enodes) 1545821369.168 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545821369.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545821369.168 * * * * [misc]progress: [ 107 / 119 ] simplifiying candidate # 1545821369.168 * * * * [misc]progress: [ 108 / 119 ] simplifiying candidate # 1545821369.168 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1545821369.169 * * [misc]simplify: iters left: 6 (35 enodes) 1545821369.184 * * [misc]simplify: iters left: 5 (102 enodes) 1545821369.223 * * [misc]simplify: iters left: 4 (321 enodes) 1545821369.419 * [exit]simplify: Simplified to (+ (fma (* (* (log 2) (log n)) (* (* k k) (* (pow 2 1/2) (pow n 1/2)))) 1/4 (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (* (pow 2 1/2) (pow n 1/2)) 1/8) (* (* (log n) k) (* (log n) k)) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545821369.419 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (+ (fma (* (* (log 2) (log n)) (* (* k k) (* (pow 2 1/2) (pow n 1/2)))) 1/4 (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (* (pow 2 1/2) (pow n 1/2)) 1/8) (* (* (log n) k) (* (log n) k)) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) (pow PI (- 1/2 (/ k 2))))) 1545821369.419 * * * * [misc]progress: [ 109 / 119 ] simplifiying candidate # 1545821369.420 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545821369.420 * * [misc]simplify: iters left: 6 (13 enodes) 1545821369.426 * * [misc]simplify: iters left: 5 (27 enodes) 1545821369.435 * * [misc]simplify: iters left: 4 (53 enodes) 1545821369.454 * * [misc]simplify: iters left: 3 (120 enodes) 1545821369.517 * * [misc]simplify: iters left: 2 (380 enodes) 1545821370.020 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545821370.020 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) (pow PI (- 1/2 (/ k 2))))) 1545821370.021 * * * * [misc]progress: [ 110 / 119 ] simplifiying candidate # 1545821370.021 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545821370.021 * * [misc]simplify: iters left: 6 (13 enodes) 1545821370.026 * * [misc]simplify: iters left: 5 (24 enodes) 1545821370.035 * * [misc]simplify: iters left: 4 (54 enodes) 1545821370.058 * * [misc]simplify: iters left: 3 (151 enodes) 1545821370.121 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545821370.121 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) (pow PI (- 1/2 (/ k 2))))) 1545821370.121 * * * * [misc]progress: [ 111 / 119 ] simplifiying candidate # 1545821370.121 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1545821370.121 * * [misc]simplify: iters left: 6 (18 enodes) 1545821370.124 * * [misc]simplify: iters left: 5 (39 enodes) 1545821370.132 * * [misc]simplify: iters left: 4 (110 enodes) 1545821370.160 * * [misc]simplify: iters left: 3 (315 enodes) 1545821370.412 * [exit]simplify: Simplified to (fma (fma (* (* 1/8 k) k) (* (log PI) (log PI)) (* (log PI) (* k -1/2))) (sqrt PI) (sqrt PI)) 1545821370.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (fma (fma (* (* 1/8 k) k) (* (log PI) (log PI)) (* (log PI) (* k -1/2))) (sqrt PI) (sqrt PI)))) 1545821370.412 * * * * [misc]progress: [ 112 / 119 ] simplifiying candidate # 1545821370.412 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545821370.412 * * [misc]simplify: iters left: 5 (6 enodes) 1545821370.413 * * [misc]simplify: iters left: 4 (9 enodes) 1545821370.415 * * [misc]simplify: iters left: 3 (17 enodes) 1545821370.417 * * [misc]simplify: iters left: 2 (24 enodes) 1545821370.420 * * [misc]simplify: iters left: 1 (28 enodes) 1545821370.427 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545821370.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (fma k -1/2 1/2)))) 1545821370.427 * * * * [misc]progress: [ 113 / 119 ] simplifiying candidate # 1545821370.427 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545821370.427 * * [misc]simplify: iters left: 5 (6 enodes) 1545821370.428 * * [misc]simplify: iters left: 4 (9 enodes) 1545821370.430 * * [misc]simplify: iters left: 3 (17 enodes) 1545821370.432 * * [misc]simplify: iters left: 2 (24 enodes) 1545821370.435 * * [misc]simplify: iters left: 1 (28 enodes) 1545821370.442 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545821370.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (pow PI (fma k -1/2 1/2)))) 1545821370.442 * * * * [misc]progress: [ 114 / 119 ] simplifiying candidate # 1545821370.442 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1545821370.442 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (* 1 +nan.0)) (pow PI (- 1/2 (/ k 2))))) 1545821370.442 * * * * [misc]progress: [ 115 / 119 ] simplifiying candidate # 1545821370.442 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1545821370.442 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (* 1 +nan.0)) (pow PI (- 1/2 (/ k 2))))) 1545821370.442 * * * * [misc]progress: [ 116 / 119 ] simplifiying candidate # 1545821370.442 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1545821370.442 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (* (/ 1 (* 1 +nan.0)) (pow PI (- 1/2 (/ k 2))))) 1545821370.442 * * * * [misc]progress: [ 117 / 119 ] simplifiying candidate # 1545821370.443 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1545821370.443 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821370.443 * * * * [misc]progress: [ 118 / 119 ] simplifiying candidate # 1545821370.443 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545821370.443 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821370.443 * * * * [misc]progress: [ 119 / 119 ] simplifiying candidate # 1545821370.443 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545821370.443 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545821370.443 * * * [misc]progress: adding candidates to table 1545821372.300 * [misc]progress: [Phase 3 of 3] Extracting. 1545821372.300 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545821372.302 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545821372.302 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545821372.360 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545821372.418 * * * [misc]regime: Found split indices: #