1545733218.953 * [misc]progress: [Phase 1 of 3] Setting up. 1545733218.953 * * * [misc]progress: [1/2] Preparing points 1545733218.954 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545733219.067 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.067 * * * * [misc]points: Sampling 193 additional inputs, on iter 1 have 63 / 256 1545733219.140 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.140 * * * * [misc]points: Sampling 154 additional inputs, on iter 2 have 102 / 256 1545733219.200 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.200 * * * * [misc]points: Sampling 124 additional inputs, on iter 3 have 132 / 256 1545733219.296 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.296 * * * * [misc]points: Sampling 91 additional inputs, on iter 4 have 165 / 256 1545733219.324 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.324 * * * * [misc]points: Sampling 68 additional inputs, on iter 5 have 188 / 256 1545733219.351 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.351 * * * * [misc]points: Sampling 57 additional inputs, on iter 6 have 199 / 256 1545733219.378 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.378 * * * * [misc]points: Sampling 47 additional inputs, on iter 7 have 209 / 256 1545733219.401 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.401 * * * * [misc]points: Sampling 34 additional inputs, on iter 8 have 222 / 256 1545733219.456 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.456 * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 235 / 256 1545733219.475 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.475 * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 1545733219.484 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.484 * * * * [misc]points: Sampling 14 additional inputs, on iter 11 have 242 / 256 1545733219.489 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.489 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1545733219.493 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.493 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 254 / 256 1545733219.495 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.495 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 255 / 256 1545733219.498 * * * * [misc]points: Filtering points with unrepresentable outputs 1545733219.498 * * * * [exit]points: Sampled 256 points with exact outputs 1545733219.498 * * * [misc]progress: [2/2] Setting up program. 1545733219.501 * [misc]progress: [Phase 2 of 3] Improving. 1545733219.502 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545733219.502 * * [misc]simplify: iters left: 6 (13 enodes) 1545733219.504 * * [misc]simplify: iters left: 5 (28 enodes) 1545733219.508 * * [misc]simplify: iters left: 4 (44 enodes) 1545733219.515 * * [misc]simplify: iters left: 3 (54 enodes) 1545733219.520 * * [misc]simplify: iters left: 2 (57 enodes) 1545733219.526 * * [misc]simplify: iters left: 1 (65 enodes) 1545733219.533 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545733219.541 * * [misc]progress: iteration 1 / 4 1545733219.541 * * * [misc]progress: picking best candidate 1545733219.562 * * * * [misc]pick: Picked # 1545733219.562 * * * [misc]progress: localizing error 1545733219.597 * * * [misc]progress: generating rewritten candidates 1545733219.597 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 1) 1545733219.598 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1545733219.603 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1545733219.605 * * * [misc]progress: generating series expansions 1545733219.605 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) 1545733219.606 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545733219.606 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545733219.606 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.606 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.606 * [misc]backup-simplify: Simplify 2 into 2 1545733219.606 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.606 * [misc]taylor: Taking taylor expansion of n in n 1545733219.606 * [misc]backup-simplify: Simplify 0 into 0 1545733219.606 * [misc]backup-simplify: Simplify 1 into 1 1545733219.606 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.606 * [misc]backup-simplify: Simplify PI into PI 1545733219.606 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.606 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.606 * [misc]backup-simplify: Simplify 2 into 2 1545733219.606 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.606 * [misc]taylor: Taking taylor expansion of n in n 1545733219.606 * [misc]backup-simplify: Simplify 0 into 0 1545733219.606 * [misc]backup-simplify: Simplify 1 into 1 1545733219.606 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.606 * [misc]backup-simplify: Simplify PI into PI 1545733219.606 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733219.606 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733219.606 * [misc]backup-simplify: Simplify 0 into 0 1545733219.607 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733219.607 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545733219.607 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545733219.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545733219.609 * [misc]backup-simplify: Simplify 0 into 0 1545733219.610 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.610 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545733219.611 * [misc]backup-simplify: Simplify 0 into 0 1545733219.612 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545733219.613 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545733219.613 * [misc]backup-simplify: Simplify 0 into 0 1545733219.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545733219.616 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545733219.616 * [misc]backup-simplify: Simplify 0 into 0 1545733219.618 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545733219.620 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545733219.620 * [misc]backup-simplify: Simplify 0 into 0 1545733219.624 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545733219.628 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545733219.629 * [misc]backup-simplify: Simplify 0 into 0 1545733219.629 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545733219.629 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545733219.629 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545733219.629 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.629 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.629 * [misc]backup-simplify: Simplify 2 into 2 1545733219.629 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.629 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.629 * [misc]backup-simplify: Simplify PI into PI 1545733219.629 * [misc]taylor: Taking taylor expansion of n in n 1545733219.629 * [misc]backup-simplify: Simplify 0 into 0 1545733219.629 * [misc]backup-simplify: Simplify 1 into 1 1545733219.630 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.630 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.630 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.630 * [misc]backup-simplify: Simplify 2 into 2 1545733219.630 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.630 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.630 * [misc]backup-simplify: Simplify PI into PI 1545733219.630 * [misc]taylor: Taking taylor expansion of n in n 1545733219.630 * [misc]backup-simplify: Simplify 0 into 0 1545733219.630 * [misc]backup-simplify: Simplify 1 into 1 1545733219.630 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.630 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.631 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.632 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733219.632 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545733219.632 * [misc]backup-simplify: Simplify 0 into 0 1545733219.634 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.635 * [misc]backup-simplify: Simplify 0 into 0 1545733219.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.638 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.638 * [misc]backup-simplify: Simplify 0 into 0 1545733219.640 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545733219.642 * [misc]backup-simplify: Simplify 0 into 0 1545733219.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.647 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545733219.647 * [misc]backup-simplify: Simplify 0 into 0 1545733219.649 * [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 1545733219.653 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545733219.653 * [misc]backup-simplify: Simplify 0 into 0 1545733219.653 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545733219.653 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545733219.653 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545733219.653 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733219.653 * [misc]taylor: Taking taylor expansion of -2 in n 1545733219.653 * [misc]backup-simplify: Simplify -2 into -2 1545733219.653 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.653 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.653 * [misc]backup-simplify: Simplify PI into PI 1545733219.653 * [misc]taylor: Taking taylor expansion of n in n 1545733219.653 * [misc]backup-simplify: Simplify 0 into 0 1545733219.653 * [misc]backup-simplify: Simplify 1 into 1 1545733219.654 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.654 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733219.654 * [misc]taylor: Taking taylor expansion of -2 in n 1545733219.654 * [misc]backup-simplify: Simplify -2 into -2 1545733219.654 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.654 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.654 * [misc]backup-simplify: Simplify PI into PI 1545733219.654 * [misc]taylor: Taking taylor expansion of n in n 1545733219.654 * [misc]backup-simplify: Simplify 0 into 0 1545733219.654 * [misc]backup-simplify: Simplify 1 into 1 1545733219.654 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.654 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733219.655 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733219.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733219.657 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545733219.657 * [misc]backup-simplify: Simplify 0 into 0 1545733219.658 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.659 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.659 * [misc]backup-simplify: Simplify 0 into 0 1545733219.660 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.662 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.662 * [misc]backup-simplify: Simplify 0 into 0 1545733219.664 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.666 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545733219.666 * [misc]backup-simplify: Simplify 0 into 0 1545733219.668 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.679 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545733219.679 * [misc]backup-simplify: Simplify 0 into 0 1545733219.681 * [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 1545733219.685 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545733219.685 * [misc]backup-simplify: Simplify 0 into 0 1545733219.685 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545733219.685 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1545733219.685 * [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)))) 1545733219.685 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545733219.685 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545733219.685 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733219.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.685 * [misc]taylor: Taking taylor expansion of k in k 1545733219.686 * [misc]backup-simplify: Simplify 0 into 0 1545733219.686 * [misc]backup-simplify: Simplify 1 into 1 1545733219.686 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.686 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.686 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733219.687 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.687 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.687 * [misc]taylor: Taking taylor expansion of k in k 1545733219.687 * [misc]backup-simplify: Simplify 0 into 0 1545733219.687 * [misc]backup-simplify: Simplify 1 into 1 1545733219.687 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.687 * [misc]backup-simplify: Simplify 2 into 2 1545733219.687 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545733219.687 * [misc]taylor: Taking taylor expansion of n in k 1545733219.687 * [misc]backup-simplify: Simplify n into n 1545733219.687 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.687 * [misc]backup-simplify: Simplify PI into PI 1545733219.687 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545733219.687 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545733219.687 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545733219.687 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733219.688 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.688 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.688 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545733219.688 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545733219.688 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545733219.688 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545733219.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.688 * [misc]taylor: Taking taylor expansion of k in n 1545733219.688 * [misc]backup-simplify: Simplify k into k 1545733219.688 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.688 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545733219.688 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733219.689 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545733219.689 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.689 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.689 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.689 * [misc]taylor: Taking taylor expansion of k in n 1545733219.689 * [misc]backup-simplify: Simplify k into k 1545733219.689 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.689 * [misc]backup-simplify: Simplify 2 into 2 1545733219.689 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.689 * [misc]taylor: Taking taylor expansion of n in n 1545733219.689 * [misc]backup-simplify: Simplify 0 into 0 1545733219.689 * [misc]backup-simplify: Simplify 1 into 1 1545733219.689 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.689 * [misc]backup-simplify: Simplify PI into PI 1545733219.690 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733219.690 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733219.691 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733219.691 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545733219.692 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.692 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733219.692 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733219.692 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733219.693 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.693 * [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)))) 1545733219.694 * [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))))) 1545733219.694 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of k in n 1545733219.694 * [misc]backup-simplify: Simplify k into k 1545733219.694 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.694 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545733219.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733219.694 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545733219.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.694 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733219.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.694 * [misc]taylor: Taking taylor expansion of k in n 1545733219.694 * [misc]backup-simplify: Simplify k into k 1545733219.694 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545733219.695 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.695 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.695 * [misc]backup-simplify: Simplify 2 into 2 1545733219.695 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.695 * [misc]taylor: Taking taylor expansion of n in n 1545733219.695 * [misc]backup-simplify: Simplify 0 into 0 1545733219.695 * [misc]backup-simplify: Simplify 1 into 1 1545733219.695 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.695 * [misc]backup-simplify: Simplify PI into PI 1545733219.695 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733219.695 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733219.696 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733219.696 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545733219.697 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.697 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733219.697 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733219.697 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733219.698 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.698 * [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)))) 1545733219.699 * [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))))) 1545733219.700 * [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))) 1545733219.700 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.700 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.700 * [misc]taylor: Taking taylor expansion of k in k 1545733219.700 * [misc]backup-simplify: Simplify 0 into 0 1545733219.700 * [misc]backup-simplify: Simplify 1 into 1 1545733219.700 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of n in k 1545733219.700 * [misc]backup-simplify: Simplify n into n 1545733219.700 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733219.700 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545733219.700 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.700 * [misc]backup-simplify: Simplify 2 into 2 1545733219.700 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.700 * [misc]backup-simplify: Simplify PI into PI 1545733219.700 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.701 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.701 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733219.701 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.701 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.702 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.702 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545733219.703 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545733219.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733219.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.703 * [misc]taylor: Taking taylor expansion of k in k 1545733219.703 * [misc]backup-simplify: Simplify 0 into 0 1545733219.703 * [misc]backup-simplify: Simplify 1 into 1 1545733219.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733219.704 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545733219.704 * [misc]backup-simplify: Simplify 0 into 0 1545733219.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545733219.706 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545733219.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.709 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545733219.709 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.711 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545733219.712 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733219.713 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545733219.713 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.713 * [misc]backup-simplify: Simplify 0 into 0 1545733219.714 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545733219.715 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545733219.717 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.718 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733219.718 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.718 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545733219.720 * [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))))))) 1545733219.721 * [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))))))) 1545733219.721 * [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))))))) 1545733219.722 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.723 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545733219.726 * [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 1545733219.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545733219.727 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.727 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.727 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.728 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545733219.729 * [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 1545733219.729 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.730 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545733219.730 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545733219.730 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.730 * [misc]backup-simplify: Simplify 0 into 0 1545733219.730 * [misc]backup-simplify: Simplify 0 into 0 1545733219.730 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733219.731 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733219.732 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545733219.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.735 * [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 1545733219.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733219.736 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.736 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.736 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545733219.738 * [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))))) 1545733219.741 * [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)))))))) 1545733219.742 * [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)))))))) 1545733219.744 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545733219.745 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545733219.751 * [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 1545733219.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545733219.752 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.752 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.753 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545733219.757 * [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 1545733219.757 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.758 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545733219.759 * [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 1545733219.759 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.759 * [misc]backup-simplify: Simplify 0 into 0 1545733219.759 * [misc]backup-simplify: Simplify 0 into 0 1545733219.759 * [misc]backup-simplify: Simplify 0 into 0 1545733219.759 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.761 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733219.763 * [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 1545733219.765 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.773 * [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 1545733219.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.773 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545733219.773 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545733219.778 * [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))))))) 1545733219.786 * [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)))))))))))))) 1545733219.792 * [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)))))))))))))) 1545733219.802 * [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)))))))))))))))))))))) 1545733219.803 * [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))))) 1545733219.803 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545733219.803 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733219.803 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733219.803 * [misc]taylor: Taking taylor expansion of k in k 1545733219.803 * [misc]backup-simplify: Simplify 0 into 0 1545733219.803 * [misc]backup-simplify: Simplify 1 into 1 1545733219.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.804 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733219.804 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.804 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.804 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of k in k 1545733219.804 * [misc]backup-simplify: Simplify 0 into 0 1545733219.804 * [misc]backup-simplify: Simplify 1 into 1 1545733219.804 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.804 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.804 * [misc]backup-simplify: Simplify 2 into 2 1545733219.804 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545733219.804 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.804 * [misc]backup-simplify: Simplify PI into PI 1545733219.804 * [misc]taylor: Taking taylor expansion of n in k 1545733219.804 * [misc]backup-simplify: Simplify n into n 1545733219.805 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545733219.805 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545733219.805 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545733219.805 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.805 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.805 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.805 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545733219.805 * [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)))) 1545733219.806 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of k in n 1545733219.806 * [misc]backup-simplify: Simplify k into k 1545733219.806 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545733219.806 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545733219.806 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of k in n 1545733219.806 * [misc]backup-simplify: Simplify k into k 1545733219.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.806 * [misc]backup-simplify: Simplify 2 into 2 1545733219.806 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.806 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.806 * [misc]backup-simplify: Simplify PI into PI 1545733219.806 * [misc]taylor: Taking taylor expansion of n in n 1545733219.806 * [misc]backup-simplify: Simplify 0 into 0 1545733219.806 * [misc]backup-simplify: Simplify 1 into 1 1545733219.807 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.807 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.807 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.807 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733219.808 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733219.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.809 * [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))) 1545733219.809 * [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)))) 1545733219.809 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545733219.809 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545733219.809 * [misc]taylor: Taking taylor expansion of k in n 1545733219.809 * [misc]backup-simplify: Simplify k into k 1545733219.809 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545733219.810 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545733219.810 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of k in n 1545733219.810 * [misc]backup-simplify: Simplify k into k 1545733219.810 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.810 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.810 * [misc]backup-simplify: Simplify 2 into 2 1545733219.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.810 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.810 * [misc]backup-simplify: Simplify PI into PI 1545733219.810 * [misc]taylor: Taking taylor expansion of n in n 1545733219.810 * [misc]backup-simplify: Simplify 0 into 0 1545733219.810 * [misc]backup-simplify: Simplify 1 into 1 1545733219.810 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.811 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.811 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.811 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.811 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733219.811 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733219.812 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.813 * [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))) 1545733219.813 * [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)))) 1545733219.814 * [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)) 1545733219.814 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.814 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of k in k 1545733219.814 * [misc]backup-simplify: Simplify 0 into 0 1545733219.814 * [misc]backup-simplify: Simplify 1 into 1 1545733219.814 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.814 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545733219.814 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.814 * [misc]backup-simplify: Simplify 2 into 2 1545733219.814 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.814 * [misc]backup-simplify: Simplify PI into PI 1545733219.815 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.817 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.817 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733219.817 * [misc]taylor: Taking taylor expansion of n in k 1545733219.817 * [misc]backup-simplify: Simplify n into n 1545733219.817 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733219.817 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.817 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.817 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.817 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733219.818 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545733219.818 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545733219.819 * [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)))) 1545733219.819 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733219.819 * [misc]taylor: Taking taylor expansion of k in k 1545733219.819 * [misc]backup-simplify: Simplify 0 into 0 1545733219.819 * [misc]backup-simplify: Simplify 1 into 1 1545733219.819 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.819 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733219.820 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545733219.820 * [misc]backup-simplify: Simplify 0 into 0 1545733219.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733219.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545733219.825 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.825 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733219.825 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733219.825 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.825 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.826 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.827 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545733219.829 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733219.829 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545733219.829 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.829 * [misc]backup-simplify: Simplify 0 into 0 1545733219.829 * [misc]backup-simplify: Simplify 0 into 0 1545733219.830 * [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)))))) 1545733219.831 * [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)))))) 1545733219.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.833 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.838 * [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 1545733219.839 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733219.839 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.840 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.841 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545733219.844 * [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 1545733219.845 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545733219.845 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545733219.845 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.845 * [misc]backup-simplify: Simplify 0 into 0 1545733219.845 * [misc]backup-simplify: Simplify 0 into 0 1545733219.846 * [misc]backup-simplify: Simplify 0 into 0 1545733219.847 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733219.848 * [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)))))) 1545733219.848 * [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)))))) 1545733219.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.860 * [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 1545733219.860 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733219.861 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.863 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545733219.866 * [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 1545733219.867 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545733219.868 * [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 1545733219.868 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.868 * [misc]backup-simplify: Simplify 0 into 0 1545733219.868 * [misc]backup-simplify: Simplify 0 into 0 1545733219.868 * [misc]backup-simplify: Simplify 0 into 0 1545733219.868 * [misc]backup-simplify: Simplify 0 into 0 1545733219.869 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733219.870 * [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)))))) 1545733219.871 * [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)))))) 1545733219.874 * [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)))))))) 1545733219.874 * [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))) 1545733219.874 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545733219.874 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.874 * [misc]taylor: Taking taylor expansion of k in k 1545733219.875 * [misc]backup-simplify: Simplify 0 into 0 1545733219.875 * [misc]backup-simplify: Simplify 1 into 1 1545733219.875 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.875 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.875 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545733219.875 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545733219.875 * [misc]taylor: Taking taylor expansion of -2 in k 1545733219.875 * [misc]backup-simplify: Simplify -2 into -2 1545733219.875 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545733219.875 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.875 * [misc]backup-simplify: Simplify PI into PI 1545733219.875 * [misc]taylor: Taking taylor expansion of n in k 1545733219.875 * [misc]backup-simplify: Simplify n into n 1545733219.875 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545733219.875 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545733219.875 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545733219.876 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.876 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.876 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545733219.876 * [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))) 1545733219.876 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733219.876 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733219.876 * [misc]taylor: Taking taylor expansion of -1 in k 1545733219.876 * [misc]backup-simplify: Simplify -1 into -1 1545733219.876 * [misc]taylor: Taking taylor expansion of k in k 1545733219.876 * [misc]backup-simplify: Simplify 0 into 0 1545733219.876 * [misc]backup-simplify: Simplify 1 into 1 1545733219.876 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733219.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.877 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733219.877 * [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)))) 1545733219.878 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of k in n 1545733219.878 * [misc]backup-simplify: Simplify k into k 1545733219.878 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.878 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of -2 in n 1545733219.878 * [misc]backup-simplify: Simplify -2 into -2 1545733219.878 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.878 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.878 * [misc]backup-simplify: Simplify PI into PI 1545733219.878 * [misc]taylor: Taking taylor expansion of n in n 1545733219.878 * [misc]backup-simplify: Simplify 0 into 0 1545733219.878 * [misc]backup-simplify: Simplify 1 into 1 1545733219.879 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.879 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733219.879 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733219.879 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.880 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733219.880 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733219.881 * [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))) 1545733219.881 * [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)))) 1545733219.882 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545733219.882 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545733219.882 * [misc]taylor: Taking taylor expansion of -1 in n 1545733219.882 * [misc]backup-simplify: Simplify -1 into -1 1545733219.882 * [misc]taylor: Taking taylor expansion of k in n 1545733219.882 * [misc]backup-simplify: Simplify k into k 1545733219.882 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545733219.882 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545733219.882 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545733219.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545733219.883 * [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))) 1545733219.883 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of k in n 1545733219.883 * [misc]backup-simplify: Simplify k into k 1545733219.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.883 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of -2 in n 1545733219.883 * [misc]backup-simplify: Simplify -2 into -2 1545733219.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.883 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.884 * [misc]backup-simplify: Simplify PI into PI 1545733219.884 * [misc]taylor: Taking taylor expansion of n in n 1545733219.884 * [misc]backup-simplify: Simplify 0 into 0 1545733219.884 * [misc]backup-simplify: Simplify 1 into 1 1545733219.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.884 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733219.885 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733219.885 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.885 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733219.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733219.886 * [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))) 1545733219.887 * [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)))) 1545733219.887 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545733219.887 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545733219.887 * [misc]taylor: Taking taylor expansion of -1 in n 1545733219.887 * [misc]backup-simplify: Simplify -1 into -1 1545733219.887 * [misc]taylor: Taking taylor expansion of k in n 1545733219.887 * [misc]backup-simplify: Simplify k into k 1545733219.887 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545733219.887 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545733219.887 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545733219.887 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545733219.888 * [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))) 1545733219.888 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545733219.888 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545733219.888 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545733219.888 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733219.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.889 * [misc]taylor: Taking taylor expansion of k in k 1545733219.889 * [misc]backup-simplify: Simplify 0 into 0 1545733219.889 * [misc]backup-simplify: Simplify 1 into 1 1545733219.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.889 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545733219.889 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545733219.889 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545733219.889 * [misc]taylor: Taking taylor expansion of -2 in k 1545733219.889 * [misc]backup-simplify: Simplify -2 into -2 1545733219.889 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.889 * [misc]backup-simplify: Simplify PI into PI 1545733219.889 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733219.890 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733219.890 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733219.890 * [misc]taylor: Taking taylor expansion of n in k 1545733219.890 * [misc]backup-simplify: Simplify n into n 1545733219.890 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733219.890 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.891 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.891 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733219.891 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545733219.892 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545733219.892 * [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)))) 1545733219.893 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733219.893 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733219.893 * [misc]taylor: Taking taylor expansion of -1 in k 1545733219.893 * [misc]backup-simplify: Simplify -1 into -1 1545733219.893 * [misc]taylor: Taking taylor expansion of k in k 1545733219.893 * [misc]backup-simplify: Simplify 0 into 0 1545733219.893 * [misc]backup-simplify: Simplify 1 into 1 1545733219.893 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733219.893 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733219.893 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733219.894 * [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))))) 1545733219.895 * [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))))) 1545733219.896 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733219.897 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545733219.899 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545733219.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733219.900 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733219.900 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733219.901 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545733219.901 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733219.902 * [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 1545733219.902 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.902 * [misc]backup-simplify: Simplify 0 into 0 1545733219.902 * [misc]backup-simplify: Simplify 0 into 0 1545733219.902 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545733219.903 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733219.904 * [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)))))) 1545733219.904 * [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)))))) 1545733219.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.905 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.908 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1545733219.908 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733219.909 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733219.910 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545733219.911 * [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 1545733219.911 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.911 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545733219.912 * [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 1545733219.912 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.912 * [misc]backup-simplify: Simplify 0 into 0 1545733219.912 * [misc]backup-simplify: Simplify 0 into 0 1545733219.912 * [misc]backup-simplify: Simplify 0 into 0 1545733219.912 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.913 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733219.914 * [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)))))) 1545733219.915 * [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)))))) 1545733219.916 * [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))))))))))) 1545733219.916 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1545733219.916 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545733219.916 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545733219.916 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545733219.916 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.917 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.917 * [misc]taylor: Taking taylor expansion of k in k 1545733219.917 * [misc]backup-simplify: Simplify 0 into 0 1545733219.917 * [misc]backup-simplify: Simplify 1 into 1 1545733219.917 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.917 * [misc]backup-simplify: Simplify 2 into 2 1545733219.917 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545733219.917 * [misc]taylor: Taking taylor expansion of n in k 1545733219.917 * [misc]backup-simplify: Simplify n into n 1545733219.917 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.917 * [misc]backup-simplify: Simplify PI into PI 1545733219.917 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545733219.917 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545733219.917 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545733219.917 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733219.917 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.917 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.917 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545733219.917 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545733219.917 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545733219.917 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545733219.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545733219.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733219.917 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.918 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733219.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.918 * [misc]taylor: Taking taylor expansion of k in n 1545733219.918 * [misc]backup-simplify: Simplify k into k 1545733219.918 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545733219.918 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.918 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.918 * [misc]backup-simplify: Simplify 2 into 2 1545733219.918 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.918 * [misc]taylor: Taking taylor expansion of n in n 1545733219.918 * [misc]backup-simplify: Simplify 0 into 0 1545733219.918 * [misc]backup-simplify: Simplify 1 into 1 1545733219.918 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.918 * [misc]backup-simplify: Simplify PI into PI 1545733219.918 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733219.918 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733219.919 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733219.919 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545733219.919 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.919 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733219.919 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733219.919 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733219.920 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.920 * [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)))) 1545733219.920 * [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))))) 1545733219.921 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.921 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.921 * [misc]taylor: Taking taylor expansion of k in n 1545733219.921 * [misc]backup-simplify: Simplify k into k 1545733219.921 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.921 * [misc]backup-simplify: Simplify 2 into 2 1545733219.921 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733219.921 * [misc]taylor: Taking taylor expansion of n in n 1545733219.921 * [misc]backup-simplify: Simplify 0 into 0 1545733219.921 * [misc]backup-simplify: Simplify 1 into 1 1545733219.921 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.921 * [misc]backup-simplify: Simplify PI into PI 1545733219.921 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733219.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733219.921 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733219.922 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545733219.922 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.922 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733219.922 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733219.922 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733219.923 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.923 * [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)))) 1545733219.923 * [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))))) 1545733219.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.924 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.924 * [misc]taylor: Taking taylor expansion of k in k 1545733219.924 * [misc]backup-simplify: Simplify 0 into 0 1545733219.924 * [misc]backup-simplify: Simplify 1 into 1 1545733219.924 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of n in k 1545733219.924 * [misc]backup-simplify: Simplify n into n 1545733219.924 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733219.924 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545733219.924 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.924 * [misc]backup-simplify: Simplify 2 into 2 1545733219.924 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.924 * [misc]backup-simplify: Simplify PI into PI 1545733219.924 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.924 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.925 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733219.925 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.925 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733219.925 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.925 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545733219.926 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545733219.926 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545733219.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545733219.927 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545733219.929 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545733219.929 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.930 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.930 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545733219.931 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733219.931 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.931 * [misc]backup-simplify: Simplify 0 into 0 1545733219.931 * [misc]backup-simplify: Simplify 0 into 0 1545733219.931 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545733219.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545733219.933 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.934 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733219.934 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.934 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.934 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545733219.935 * [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))))))) 1545733219.936 * [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))))))) 1545733219.937 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.938 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545733219.942 * [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 1545733219.942 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545733219.943 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.943 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.943 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545733219.944 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545733219.947 * [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 1545733219.947 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.947 * [misc]backup-simplify: Simplify 0 into 0 1545733219.947 * [misc]backup-simplify: Simplify 0 into 0 1545733219.947 * [misc]backup-simplify: Simplify 0 into 0 1545733219.948 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545733219.949 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.954 * [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 1545733219.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733219.955 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.956 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545733219.960 * [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))))) 1545733219.962 * [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))))) 1545733219.967 * [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))))) 1545733219.967 * [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)))) 1545733219.967 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545733219.968 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of k in k 1545733219.968 * [misc]backup-simplify: Simplify 0 into 0 1545733219.968 * [misc]backup-simplify: Simplify 1 into 1 1545733219.968 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.968 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.968 * [misc]backup-simplify: Simplify 2 into 2 1545733219.968 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545733219.968 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.968 * [misc]backup-simplify: Simplify PI into PI 1545733219.968 * [misc]taylor: Taking taylor expansion of n in k 1545733219.968 * [misc]backup-simplify: Simplify n into n 1545733219.968 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545733219.969 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545733219.969 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545733219.969 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.969 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.969 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.969 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545733219.969 * [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)))) 1545733219.970 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of k in n 1545733219.970 * [misc]backup-simplify: Simplify k into k 1545733219.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.970 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.970 * [misc]backup-simplify: Simplify 2 into 2 1545733219.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.970 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.970 * [misc]backup-simplify: Simplify PI into PI 1545733219.970 * [misc]taylor: Taking taylor expansion of n in n 1545733219.970 * [misc]backup-simplify: Simplify 0 into 0 1545733219.970 * [misc]backup-simplify: Simplify 1 into 1 1545733219.971 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.971 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.971 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.972 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.972 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733219.972 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733219.972 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.973 * [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))) 1545733219.974 * [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)))) 1545733219.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.974 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733219.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.974 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of k in n 1545733219.974 * [misc]backup-simplify: Simplify k into k 1545733219.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733219.974 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of 2 in n 1545733219.974 * [misc]backup-simplify: Simplify 2 into 2 1545733219.974 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733219.974 * [misc]taylor: Taking taylor expansion of PI in n 1545733219.974 * [misc]backup-simplify: Simplify PI into PI 1545733219.974 * [misc]taylor: Taking taylor expansion of n in n 1545733219.975 * [misc]backup-simplify: Simplify 0 into 0 1545733219.975 * [misc]backup-simplify: Simplify 1 into 1 1545733219.975 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733219.975 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.975 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.976 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733219.976 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733219.976 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733219.976 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.976 * [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))) 1545733219.977 * [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)))) 1545733219.977 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733219.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733219.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of k in k 1545733219.977 * [misc]backup-simplify: Simplify 0 into 0 1545733219.977 * [misc]backup-simplify: Simplify 1 into 1 1545733219.977 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733219.977 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545733219.977 * [misc]taylor: Taking taylor expansion of 2 in k 1545733219.977 * [misc]backup-simplify: Simplify 2 into 2 1545733219.977 * [misc]taylor: Taking taylor expansion of PI in k 1545733219.977 * [misc]backup-simplify: Simplify PI into PI 1545733219.978 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545733219.978 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545733219.978 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733219.978 * [misc]taylor: Taking taylor expansion of n in k 1545733219.978 * [misc]backup-simplify: Simplify n into n 1545733219.978 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733219.978 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733219.978 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733219.978 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733219.978 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733219.979 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545733219.979 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545733219.979 * [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)))) 1545733219.980 * [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)))) 1545733219.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733219.981 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545733219.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545733219.982 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733219.983 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733219.983 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.984 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545733219.984 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733219.984 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.985 * [misc]backup-simplify: Simplify 0 into 0 1545733219.985 * [misc]backup-simplify: Simplify 0 into 0 1545733219.985 * [misc]backup-simplify: Simplify 0 into 0 1545733219.985 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.986 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733219.989 * [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 1545733219.989 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733219.989 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733219.990 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733219.990 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545733219.992 * [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 1545733219.992 * [misc]taylor: Taking taylor expansion of 0 in k 1545733219.992 * [misc]backup-simplify: Simplify 0 into 0 1545733219.992 * [misc]backup-simplify: Simplify 0 into 0 1545733219.992 * [misc]backup-simplify: Simplify 0 into 0 1545733219.992 * [misc]backup-simplify: Simplify 0 into 0 1545733219.993 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733219.994 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733219.999 * [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 1545733219.999 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733219.999 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733219.999 * [misc]backup-simplify: Simplify (- 0) into 0 1545733219.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733220.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545733220.000 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545733220.003 * [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 1545733220.003 * [misc]taylor: Taking taylor expansion of 0 in k 1545733220.003 * [misc]backup-simplify: Simplify 0 into 0 1545733220.003 * [misc]backup-simplify: Simplify 0 into 0 1545733220.003 * [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))))) 1545733220.003 * [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)) 1545733220.003 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545733220.003 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733220.003 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545733220.003 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545733220.003 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733220.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733220.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733220.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733220.004 * [misc]taylor: Taking taylor expansion of k in k 1545733220.004 * [misc]backup-simplify: Simplify 0 into 0 1545733220.004 * [misc]backup-simplify: Simplify 1 into 1 1545733220.004 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733220.004 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733220.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.004 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545733220.004 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545733220.004 * [misc]taylor: Taking taylor expansion of -2 in k 1545733220.004 * [misc]backup-simplify: Simplify -2 into -2 1545733220.004 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545733220.004 * [misc]taylor: Taking taylor expansion of PI in k 1545733220.004 * [misc]backup-simplify: Simplify PI into PI 1545733220.004 * [misc]taylor: Taking taylor expansion of n in k 1545733220.004 * [misc]backup-simplify: Simplify n into n 1545733220.004 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545733220.004 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545733220.004 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545733220.004 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733220.004 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733220.004 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545733220.005 * [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))) 1545733220.005 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733220.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of k in n 1545733220.005 * [misc]backup-simplify: Simplify k into k 1545733220.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733220.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733220.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.005 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of -2 in n 1545733220.005 * [misc]backup-simplify: Simplify -2 into -2 1545733220.005 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733220.005 * [misc]taylor: Taking taylor expansion of PI in n 1545733220.005 * [misc]backup-simplify: Simplify PI into PI 1545733220.005 * [misc]taylor: Taking taylor expansion of n in n 1545733220.005 * [misc]backup-simplify: Simplify 0 into 0 1545733220.005 * [misc]backup-simplify: Simplify 1 into 1 1545733220.005 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733220.005 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733220.006 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733220.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733220.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733220.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733220.007 * [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))) 1545733220.007 * [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)))) 1545733220.007 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733220.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of k in n 1545733220.007 * [misc]backup-simplify: Simplify k into k 1545733220.007 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733220.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733220.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.007 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of -2 in n 1545733220.007 * [misc]backup-simplify: Simplify -2 into -2 1545733220.007 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545733220.007 * [misc]taylor: Taking taylor expansion of PI in n 1545733220.008 * [misc]backup-simplify: Simplify PI into PI 1545733220.008 * [misc]taylor: Taking taylor expansion of n in n 1545733220.008 * [misc]backup-simplify: Simplify 0 into 0 1545733220.008 * [misc]backup-simplify: Simplify 1 into 1 1545733220.008 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545733220.008 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733220.008 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733220.008 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733220.008 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733220.009 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733220.009 * [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))) 1545733220.010 * [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)))) 1545733220.010 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733220.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of k in k 1545733220.010 * [misc]backup-simplify: Simplify 0 into 0 1545733220.010 * [misc]backup-simplify: Simplify 1 into 1 1545733220.010 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733220.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733220.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733220.010 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545733220.010 * [misc]taylor: Taking taylor expansion of -2 in k 1545733220.010 * [misc]backup-simplify: Simplify -2 into -2 1545733220.010 * [misc]taylor: Taking taylor expansion of PI in k 1545733220.010 * [misc]backup-simplify: Simplify PI into PI 1545733220.010 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545733220.011 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545733220.011 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733220.011 * [misc]taylor: Taking taylor expansion of n in k 1545733220.011 * [misc]backup-simplify: Simplify n into n 1545733220.011 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733220.011 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733220.011 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733220.011 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733220.011 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545733220.012 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545733220.012 * [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)))) 1545733220.012 * [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)))) 1545733220.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545733220.013 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545733220.015 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545733220.015 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733220.015 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733220.016 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733220.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733220.017 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545733220.019 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733220.019 * [misc]taylor: Taking taylor expansion of 0 in k 1545733220.019 * [misc]backup-simplify: Simplify 0 into 0 1545733220.019 * [misc]backup-simplify: Simplify 0 into 0 1545733220.019 * [misc]backup-simplify: Simplify 0 into 0 1545733220.021 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733220.022 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545733220.027 * [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 1545733220.027 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733220.027 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733220.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733220.028 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733220.029 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545733220.031 * [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 1545733220.032 * [misc]taylor: Taking taylor expansion of 0 in k 1545733220.032 * [misc]backup-simplify: Simplify 0 into 0 1545733220.032 * [misc]backup-simplify: Simplify 0 into 0 1545733220.032 * [misc]backup-simplify: Simplify 0 into 0 1545733220.032 * [misc]backup-simplify: Simplify 0 into 0 1545733220.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733220.035 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545733220.043 * [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 1545733220.043 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733220.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733220.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733220.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545733220.045 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545733220.049 * [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 1545733220.049 * [misc]taylor: Taking taylor expansion of 0 in k 1545733220.049 * [misc]backup-simplify: Simplify 0 into 0 1545733220.049 * [misc]backup-simplify: Simplify 0 into 0 1545733220.050 * [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))))) 1545733220.050 * * * [misc]progress: simplifying candidates 1545733220.050 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1545733220.050 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1545733220.051 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1545733220.051 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1545733220.051 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1545733220.051 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545733220.051 * * [misc]simplify: iters left: 6 (14 enodes) 1545733220.055 * * [misc]simplify: iters left: 5 (27 enodes) 1545733220.063 * * [misc]simplify: iters left: 4 (55 enodes) 1545733220.078 * * [misc]simplify: iters left: 3 (144 enodes) 1545733220.130 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545733220.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545733220.130 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1545733220.130 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545733220.130 * * [misc]simplify: iters left: 6 (14 enodes) 1545733220.133 * * [misc]simplify: iters left: 5 (27 enodes) 1545733220.137 * * [misc]simplify: iters left: 4 (55 enodes) 1545733220.152 * * [misc]simplify: iters left: 3 (144 enodes) 1545733220.242 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1545733220.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1545733220.242 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1545733220.243 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545733220.243 * * [misc]simplify: iters left: 6 (14 enodes) 1545733220.245 * * [misc]simplify: iters left: 5 (24 enodes) 1545733220.249 * * [misc]simplify: iters left: 4 (43 enodes) 1545733220.256 * * [misc]simplify: iters left: 3 (73 enodes) 1545733220.275 * * [misc]simplify: iters left: 2 (220 enodes) 1545733220.473 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545733220.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545733220.474 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1545733220.474 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1545733220.474 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1545733220.474 * [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))) 1545733220.474 * * [misc]simplify: iters left: 6 (16 enodes) 1545733220.477 * * [misc]simplify: iters left: 5 (31 enodes) 1545733220.481 * * [misc]simplify: iters left: 4 (67 enodes) 1545733220.497 * * [misc]simplify: iters left: 3 (124 enodes) 1545733220.546 * * [misc]simplify: iters left: 2 (195 enodes) 1545733220.629 * * [misc]simplify: iters left: 1 (309 enodes) 1545733220.782 * [exit]simplify: Simplified to (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1545733220.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k)))))) 1545733220.782 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1545733220.782 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1545733220.782 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1545733220.782 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1545733220.783 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1545733220.783 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733220.783 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.785 * * [misc]simplify: iters left: 5 (19 enodes) 1545733220.787 * * [misc]simplify: iters left: 4 (25 enodes) 1545733220.791 * * [misc]simplify: iters left: 3 (26 enodes) 1545733220.794 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733220.794 * [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))))) 1545733220.794 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545733220.794 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.796 * * [misc]simplify: iters left: 5 (18 enodes) 1545733220.798 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.801 * * [misc]simplify: iters left: 3 (25 enodes) 1545733220.805 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545733220.805 * [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))))) 1545733220.805 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1545733220.805 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545733220.805 * * [misc]simplify: iters left: 6 (11 enodes) 1545733220.807 * * [misc]simplify: iters left: 5 (16 enodes) 1545733220.809 * * [misc]simplify: iters left: 4 (22 enodes) 1545733220.812 * * [misc]simplify: iters left: 3 (24 enodes) 1545733220.815 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545733220.815 * [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))))) 1545733220.815 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545733220.815 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.817 * * [misc]simplify: iters left: 5 (18 enodes) 1545733220.819 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.824 * * [misc]simplify: iters left: 3 (25 enodes) 1545733220.827 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545733220.827 * [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))))) 1545733220.827 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1545733220.827 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545733220.827 * * [misc]simplify: iters left: 6 (9 enodes) 1545733220.829 * * [misc]simplify: iters left: 5 (16 enodes) 1545733220.831 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.837 * * [misc]simplify: iters left: 3 (26 enodes) 1545733220.842 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545733220.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545733220.843 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545733220.843 * * [misc]simplify: iters left: 6 (11 enodes) 1545733220.846 * * [misc]simplify: iters left: 5 (17 enodes) 1545733220.851 * * [misc]simplify: iters left: 4 (23 enodes) 1545733220.857 * * [misc]simplify: iters left: 3 (24 enodes) 1545733220.864 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545733220.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545733220.864 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1545733220.864 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733220.864 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.868 * * [misc]simplify: iters left: 5 (19 enodes) 1545733220.873 * * [misc]simplify: iters left: 4 (25 enodes) 1545733220.880 * * [misc]simplify: iters left: 3 (26 enodes) 1545733220.887 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733220.887 * [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))))) 1545733220.887 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545733220.887 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.891 * * [misc]simplify: iters left: 5 (18 enodes) 1545733220.896 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.902 * * [misc]simplify: iters left: 3 (25 enodes) 1545733220.909 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545733220.909 * [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))))) 1545733220.909 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1545733220.909 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545733220.909 * * [misc]simplify: iters left: 6 (11 enodes) 1545733220.913 * * [misc]simplify: iters left: 5 (16 enodes) 1545733220.918 * * [misc]simplify: iters left: 4 (22 enodes) 1545733220.924 * * [misc]simplify: iters left: 3 (24 enodes) 1545733220.930 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545733220.930 * [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))))) 1545733220.930 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545733220.930 * * [misc]simplify: iters left: 6 (12 enodes) 1545733220.934 * * [misc]simplify: iters left: 5 (18 enodes) 1545733220.940 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.946 * * [misc]simplify: iters left: 3 (25 enodes) 1545733220.953 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545733220.953 * [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))))) 1545733220.953 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1545733220.953 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545733220.953 * * [misc]simplify: iters left: 6 (9 enodes) 1545733220.956 * * [misc]simplify: iters left: 5 (16 enodes) 1545733220.962 * * [misc]simplify: iters left: 4 (24 enodes) 1545733220.968 * * [misc]simplify: iters left: 3 (26 enodes) 1545733220.974 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545733220.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545733220.974 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545733220.974 * * [misc]simplify: iters left: 6 (11 enodes) 1545733220.978 * * [misc]simplify: iters left: 5 (17 enodes) 1545733220.983 * * [misc]simplify: iters left: 4 (23 enodes) 1545733220.989 * * [misc]simplify: iters left: 3 (24 enodes) 1545733220.995 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545733220.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545733220.995 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1545733220.995 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733220.995 * * [misc]simplify: iters left: 6 (11 enodes) 1545733220.997 * * [misc]simplify: iters left: 5 (15 enodes) 1545733220.999 * * [misc]simplify: iters left: 4 (18 enodes) 1545733221.002 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733221.002 * [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))))) 1545733221.002 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733221.002 * * [misc]simplify: iters left: 6 (11 enodes) 1545733221.003 * * [misc]simplify: iters left: 5 (14 enodes) 1545733221.005 * * [misc]simplify: iters left: 4 (17 enodes) 1545733221.007 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733221.007 * [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))))) 1545733221.008 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1545733221.008 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.008 * * [misc]simplify: iters left: 6 (10 enodes) 1545733221.009 * * [misc]simplify: iters left: 5 (12 enodes) 1545733221.011 * * [misc]simplify: iters left: 4 (15 enodes) 1545733221.013 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.013 * [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))))) 1545733221.013 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.013 * * [misc]simplify: iters left: 6 (11 enodes) 1545733221.015 * * [misc]simplify: iters left: 5 (14 enodes) 1545733221.016 * * [misc]simplify: iters left: 4 (17 enodes) 1545733221.019 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.019 * [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))))) 1545733221.019 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1545733221.019 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545733221.019 * * [misc]simplify: iters left: 6 (9 enodes) 1545733221.020 * * [misc]simplify: iters left: 5 (13 enodes) 1545733221.022 * * [misc]simplify: iters left: 4 (18 enodes) 1545733221.025 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545733221.025 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545733221.026 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545733221.026 * * [misc]simplify: iters left: 6 (10 enodes) 1545733221.029 * * [misc]simplify: iters left: 5 (13 enodes) 1545733221.032 * * [misc]simplify: iters left: 4 (16 enodes) 1545733221.037 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545733221.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545733221.037 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1545733221.038 * [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)))) 1545733221.038 * * [misc]simplify: iters left: 6 (16 enodes) 1545733221.043 * * [misc]simplify: iters left: 5 (28 enodes) 1545733221.051 * * [misc]simplify: iters left: 4 (46 enodes) 1545733221.064 * * [misc]simplify: iters left: 3 (50 enodes) 1545733221.076 * * [misc]simplify: iters left: 2 (53 enodes) 1545733221.091 * [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)))) 1545733221.092 * [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))))) 1545733221.092 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545733221.092 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.097 * * [misc]simplify: iters left: 5 (20 enodes) 1545733221.103 * * [misc]simplify: iters left: 4 (29 enodes) 1545733221.111 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.118 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545733221.118 * [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))))) 1545733221.118 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1545733221.119 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545733221.119 * * [misc]simplify: iters left: 6 (15 enodes) 1545733221.124 * * [misc]simplify: iters left: 5 (23 enodes) 1545733221.131 * * [misc]simplify: iters left: 4 (34 enodes) 1545733221.140 * * [misc]simplify: iters left: 3 (37 enodes) 1545733221.150 * [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)))))) 1545733221.150 * [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))))) 1545733221.151 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.151 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.155 * * [misc]simplify: iters left: 5 (20 enodes) 1545733221.161 * * [misc]simplify: iters left: 4 (29 enodes) 1545733221.169 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.176 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.176 * [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))))) 1545733221.176 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1545733221.177 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545733221.177 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.181 * * [misc]simplify: iters left: 5 (24 enodes) 1545733221.189 * * [misc]simplify: iters left: 4 (39 enodes) 1545733221.200 * * [misc]simplify: iters left: 3 (54 enodes) 1545733221.214 * * [misc]simplify: iters left: 2 (80 enodes) 1545733221.236 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545733221.236 * [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)))) 1545733221.236 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545733221.236 * * [misc]simplify: iters left: 6 (13 enodes) 1545733221.240 * * [misc]simplify: iters left: 5 (19 enodes) 1545733221.247 * * [misc]simplify: iters left: 4 (28 enodes) 1545733221.254 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.262 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545733221.262 * [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)))) 1545733221.262 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1545733221.263 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733221.263 * * [misc]simplify: iters left: 6 (15 enodes) 1545733221.268 * * [misc]simplify: iters left: 5 (23 enodes) 1545733221.274 * * [misc]simplify: iters left: 4 (32 enodes) 1545733221.282 * * [misc]simplify: iters left: 3 (34 enodes) 1545733221.291 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733221.291 * [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))))) 1545733221.291 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545733221.291 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.293 * * [misc]simplify: iters left: 5 (20 enodes) 1545733221.296 * * [misc]simplify: iters left: 4 (29 enodes) 1545733221.300 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.304 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545733221.304 * [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))))) 1545733221.304 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1545733221.304 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.304 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.306 * * [misc]simplify: iters left: 5 (20 enodes) 1545733221.309 * * [misc]simplify: iters left: 4 (29 enodes) 1545733221.313 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.317 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.317 * [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))))) 1545733221.317 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.317 * * [misc]simplify: iters left: 6 (14 enodes) 1545733221.319 * * [misc]simplify: iters left: 5 (20 enodes) 1545733221.324 * * [misc]simplify: iters left: 4 (29 enodes) 1545733221.332 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.339 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545733221.339 * [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))))) 1545733221.339 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1545733221.340 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545733221.340 * * [misc]simplify: iters left: 6 (13 enodes) 1545733221.342 * * [misc]simplify: iters left: 5 (21 enodes) 1545733221.346 * * [misc]simplify: iters left: 4 (32 enodes) 1545733221.350 * * [misc]simplify: iters left: 3 (33 enodes) 1545733221.354 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545733221.354 * [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)))) 1545733221.354 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545733221.354 * * [misc]simplify: iters left: 6 (13 enodes) 1545733221.356 * * [misc]simplify: iters left: 5 (19 enodes) 1545733221.359 * * [misc]simplify: iters left: 4 (28 enodes) 1545733221.362 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.366 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545733221.366 * [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)))) 1545733221.366 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1545733221.366 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733221.366 * * [misc]simplify: iters left: 6 (6 enodes) 1545733221.367 * * [misc]simplify: iters left: 5 (10 enodes) 1545733221.370 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545733221.370 * [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))))) 1545733221.371 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733221.371 * * [misc]simplify: iters left: 6 (13 enodes) 1545733221.375 * * [misc]simplify: iters left: 5 (19 enodes) 1545733221.380 * * [misc]simplify: iters left: 4 (28 enodes) 1545733221.388 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.396 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733221.396 * [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))))) 1545733221.396 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1545733221.396 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545733221.396 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.398 * * [misc]simplify: iters left: 3 (7 enodes) 1545733221.400 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545733221.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545733221.400 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.400 * * [misc]simplify: iters left: 6 (13 enodes) 1545733221.405 * * [misc]simplify: iters left: 5 (19 enodes) 1545733221.410 * * [misc]simplify: iters left: 4 (28 enodes) 1545733221.418 * * [misc]simplify: iters left: 3 (30 enodes) 1545733221.426 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733221.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545733221.426 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1545733221.426 * [enter]simplify: Simplifying (/ 1 1) 1545733221.426 * * [misc]simplify: iters left: 2 (2 enodes) 1545733221.427 * * [misc]simplify: iters left: 1 (4 enodes) 1545733221.428 * [exit]simplify: Simplified to 1 1545733221.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545733221.428 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545733221.429 * * [misc]simplify: iters left: 6 (12 enodes) 1545733221.432 * * [misc]simplify: iters left: 5 (18 enodes) 1545733221.438 * * [misc]simplify: iters left: 4 (27 enodes) 1545733221.444 * * [misc]simplify: iters left: 3 (29 enodes) 1545733221.451 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545733221.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545733221.451 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1545733221.451 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1545733221.451 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1545733221.451 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1545733221.452 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545733221.452 * * [misc]simplify: iters left: 2 (3 enodes) 1545733221.452 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545733221.452 * [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)))) 1545733221.452 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1545733221.453 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545733221.453 * * [misc]simplify: iters left: 2 (3 enodes) 1545733221.453 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545733221.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545733221.453 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1545733221.454 * [enter]simplify: Simplifying (sqrt k) 1545733221.454 * * [misc]simplify: iters left: 1 (2 enodes) 1545733221.454 * [exit]simplify: Simplified to (sqrt k) 1545733221.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545733221.454 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1545733221.455 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545733221.455 * * [misc]simplify: iters left: 5 (7 enodes) 1545733221.456 * * [misc]simplify: iters left: 4 (12 enodes) 1545733221.459 * * [misc]simplify: iters left: 3 (18 enodes) 1545733221.464 * * [misc]simplify: iters left: 2 (20 enodes) 1545733221.469 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545733221.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545733221.470 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1545733221.470 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545733221.470 * * [misc]simplify: iters left: 5 (7 enodes) 1545733221.472 * * [misc]simplify: iters left: 4 (12 enodes) 1545733221.475 * * [misc]simplify: iters left: 3 (18 enodes) 1545733221.480 * * [misc]simplify: iters left: 2 (20 enodes) 1545733221.484 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545733221.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545733221.484 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1545733221.484 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545733221.485 * * [misc]simplify: iters left: 5 (7 enodes) 1545733221.486 * * [misc]simplify: iters left: 4 (9 enodes) 1545733221.489 * * [misc]simplify: iters left: 3 (12 enodes) 1545733221.491 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545733221.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733221.491 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1545733221.492 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545733221.492 * * [misc]simplify: iters left: 6 (12 enodes) 1545733221.495 * * [misc]simplify: iters left: 5 (18 enodes) 1545733221.500 * * [misc]simplify: iters left: 4 (27 enodes) 1545733221.508 * * [misc]simplify: iters left: 3 (29 enodes) 1545733221.515 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545733221.515 * [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))))))) 1545733221.515 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1545733221.516 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545733221.516 * * [misc]simplify: iters left: 6 (11 enodes) 1545733221.519 * * [misc]simplify: iters left: 5 (17 enodes) 1545733221.524 * * [misc]simplify: iters left: 4 (26 enodes) 1545733221.532 * * [misc]simplify: iters left: 3 (27 enodes) 1545733221.537 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545733221.537 * [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))))))) 1545733221.537 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1545733221.537 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1545733221.537 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545733221.537 * * [misc]simplify: iters left: 5 (7 enodes) 1545733221.539 * * [misc]simplify: iters left: 4 (12 enodes) 1545733221.540 * * [misc]simplify: iters left: 3 (18 enodes) 1545733221.543 * * [misc]simplify: iters left: 2 (20 enodes) 1545733221.545 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545733221.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545733221.545 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1545733221.546 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1545733221.546 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1545733221.546 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545733221.546 * * [misc]simplify: iters left: 6 (11 enodes) 1545733221.548 * * [misc]simplify: iters left: 5 (21 enodes) 1545733221.551 * * [misc]simplify: iters left: 4 (47 enodes) 1545733221.560 * * [misc]simplify: iters left: 3 (113 enodes) 1545733221.598 * * [misc]simplify: iters left: 2 (328 enodes) 1545733221.877 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545733221.878 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545733221.878 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1545733221.878 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1545733221.878 * [enter]simplify: Simplifying (* PI (* n 2)) 1545733221.878 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.880 * * [misc]simplify: iters left: 3 (9 enodes) 1545733221.883 * * [misc]simplify: iters left: 2 (15 enodes) 1545733221.886 * * [misc]simplify: iters left: 1 (17 enodes) 1545733221.890 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545733221.890 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545733221.890 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1545733221.890 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545733221.891 * * [misc]simplify: iters left: 5 (8 enodes) 1545733221.893 * * [misc]simplify: iters left: 4 (12 enodes) 1545733221.896 * * [misc]simplify: iters left: 3 (18 enodes) 1545733221.898 * * [misc]simplify: iters left: 2 (20 enodes) 1545733221.901 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545733221.901 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545733221.901 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1545733221.901 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733221.901 * * [misc]simplify: iters left: 5 (6 enodes) 1545733221.902 * * [misc]simplify: iters left: 4 (8 enodes) 1545733221.904 * * [misc]simplify: iters left: 3 (11 enodes) 1545733221.905 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733221.905 * [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))) 1545733221.905 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1545733221.906 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545733221.906 * * [misc]simplify: iters left: 5 (6 enodes) 1545733221.907 * * [misc]simplify: iters left: 4 (8 enodes) 1545733221.908 * * [misc]simplify: iters left: 3 (11 enodes) 1545733221.909 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545733221.909 * [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))) 1545733221.909 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1545733221.910 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733221.910 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.910 * * [misc]simplify: iters left: 3 (7 enodes) 1545733221.911 * * [misc]simplify: iters left: 2 (10 enodes) 1545733221.913 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733221.913 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545733221.913 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1545733221.913 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545733221.913 * * [misc]simplify: iters left: 5 (9 enodes) 1545733221.915 * * [misc]simplify: iters left: 4 (15 enodes) 1545733221.917 * * [misc]simplify: iters left: 3 (21 enodes) 1545733221.920 * * [misc]simplify: iters left: 2 (22 enodes) 1545733221.923 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545733221.923 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545733221.923 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1545733221.923 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545733221.923 * * [misc]simplify: iters left: 5 (9 enodes) 1545733221.925 * * [misc]simplify: iters left: 4 (15 enodes) 1545733221.928 * * [misc]simplify: iters left: 3 (21 enodes) 1545733221.933 * * [misc]simplify: iters left: 2 (22 enodes) 1545733221.939 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545733221.939 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545733221.939 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1545733221.939 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545733221.940 * * [misc]simplify: iters left: 5 (7 enodes) 1545733221.942 * * [misc]simplify: iters left: 4 (9 enodes) 1545733221.944 * * [misc]simplify: iters left: 3 (12 enodes) 1545733221.948 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545733221.948 * [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))) 1545733221.948 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1545733221.948 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1545733221.949 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545733221.949 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.950 * * [misc]simplify: iters left: 3 (9 enodes) 1545733221.953 * * [misc]simplify: iters left: 2 (15 enodes) 1545733221.960 * * [misc]simplify: iters left: 1 (17 enodes) 1545733221.964 * [exit]simplify: Simplified to (* (* PI n) 2) 1545733221.964 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545733221.964 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1545733221.964 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545733221.964 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.966 * * [misc]simplify: iters left: 3 (9 enodes) 1545733221.969 * * [misc]simplify: iters left: 2 (15 enodes) 1545733221.973 * * [misc]simplify: iters left: 1 (17 enodes) 1545733221.977 * [exit]simplify: Simplified to (* (* PI n) 2) 1545733221.977 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545733221.977 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1545733221.977 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545733221.978 * * [misc]simplify: iters left: 4 (5 enodes) 1545733221.979 * * [misc]simplify: iters left: 3 (9 enodes) 1545733221.982 * * [misc]simplify: iters left: 2 (15 enodes) 1545733221.986 * * [misc]simplify: iters left: 1 (17 enodes) 1545733221.990 * [exit]simplify: Simplified to (* (* PI n) 2) 1545733221.990 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545733221.990 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1545733221.991 * [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)))))))))))))))))))))) 1545733221.991 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733221.991 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1545733221.991 * [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)))))))) 1545733221.991 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733221.991 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1545733221.991 * [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))))))))))) 1545733221.992 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733221.992 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1545733221.992 * [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))))) 1545733221.992 * * [misc]simplify: iters left: 6 (37 enodes) 1545733222.008 * * [misc]simplify: iters left: 5 (108 enodes) 1545733222.056 * * [misc]simplify: iters left: 4 (368 enodes) 1545733222.313 * [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 (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1545733222.313 * [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 (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1545733222.314 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1545733222.314 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545733222.314 * * [misc]simplify: iters left: 6 (15 enodes) 1545733222.320 * * [misc]simplify: iters left: 5 (33 enodes) 1545733222.331 * * [misc]simplify: iters left: 4 (64 enodes) 1545733222.350 * * [misc]simplify: iters left: 3 (179 enodes) 1545733222.423 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1545733222.423 * [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))) 1545733222.424 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1545733222.424 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545733222.424 * * [misc]simplify: iters left: 6 (15 enodes) 1545733222.430 * * [misc]simplify: iters left: 5 (30 enodes) 1545733222.443 * * [misc]simplify: iters left: 4 (65 enodes) 1545733222.471 * * [misc]simplify: iters left: 3 (208 enodes) 1545733222.624 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1545733222.624 * [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))) 1545733222.624 * * * [misc]progress: adding candidates to table 1545733223.571 * * [misc]progress: iteration 2 / 4 1545733223.571 * * * [misc]progress: picking best candidate 1545733223.638 * * * * [misc]pick: Picked # 1545733223.638 * * * [misc]progress: localizing error 1545733223.657 * * * [misc]progress: generating rewritten candidates 1545733223.657 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1545733223.659 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1545733223.673 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545733223.682 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) 1545733223.684 * * * [misc]progress: generating series expansions 1545733223.684 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1545733223.684 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545733223.684 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545733223.684 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.684 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.684 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.684 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.684 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.684 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.684 * [misc]taylor: Taking taylor expansion of k in k 1545733223.684 * [misc]backup-simplify: Simplify 0 into 0 1545733223.684 * [misc]backup-simplify: Simplify 1 into 1 1545733223.685 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.685 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.685 * [misc]backup-simplify: Simplify PI into PI 1545733223.685 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.685 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.685 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.686 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.686 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.686 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.686 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.686 * [misc]taylor: Taking taylor expansion of k in k 1545733223.686 * [misc]backup-simplify: Simplify 0 into 0 1545733223.686 * [misc]backup-simplify: Simplify 1 into 1 1545733223.686 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.686 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.686 * [misc]backup-simplify: Simplify PI into PI 1545733223.686 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.687 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.687 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.687 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.687 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.688 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.688 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545733223.689 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.689 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733223.689 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.690 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733223.692 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733223.693 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733223.695 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733223.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733223.695 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733223.698 * [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))) 1545733223.699 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545733223.701 * [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)))) 1545733223.701 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.701 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545733223.701 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of k in k 1545733223.701 * [misc]backup-simplify: Simplify 0 into 0 1545733223.701 * [misc]backup-simplify: Simplify 1 into 1 1545733223.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.701 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.701 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.701 * [misc]backup-simplify: Simplify PI into PI 1545733223.702 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.702 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.702 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.702 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733223.702 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.702 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of k in k 1545733223.703 * [misc]backup-simplify: Simplify 0 into 0 1545733223.703 * [misc]backup-simplify: Simplify 1 into 1 1545733223.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.703 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.703 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.703 * [misc]backup-simplify: Simplify PI into PI 1545733223.703 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.703 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.703 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.703 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.704 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733223.704 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.704 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.704 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545733223.704 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.704 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545733223.704 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.704 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.704 * [misc]taylor: Taking taylor expansion of k in k 1545733223.704 * [misc]backup-simplify: Simplify 0 into 0 1545733223.705 * [misc]backup-simplify: Simplify 1 into 1 1545733223.705 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.705 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.705 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.705 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.705 * [misc]backup-simplify: Simplify PI into PI 1545733223.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.705 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.705 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.705 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.706 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.706 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of k in k 1545733223.706 * [misc]backup-simplify: Simplify 0 into 0 1545733223.706 * [misc]backup-simplify: Simplify 1 into 1 1545733223.706 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.706 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.706 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.706 * [misc]backup-simplify: Simplify PI into PI 1545733223.706 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.706 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.706 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.707 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.707 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.707 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify 0 into 0 1545733223.707 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545733223.707 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1545733223.708 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545733223.708 * [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 1545733223.708 * [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 n 1545733223.708 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.708 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.708 * [misc]taylor: Taking taylor expansion of k in n 1545733223.708 * [misc]backup-simplify: Simplify k into k 1545733223.708 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.708 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.708 * [misc]backup-simplify: Simplify 2 into 2 1545733223.708 * [misc]taylor: Taking taylor expansion of n in n 1545733223.708 * [misc]backup-simplify: Simplify 0 into 0 1545733223.708 * [misc]backup-simplify: Simplify 1 into 1 1545733223.708 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.708 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.708 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.708 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733223.708 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733223.708 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733223.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.709 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733223.709 * [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)))) 1545733223.709 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.709 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.709 * [misc]taylor: Taking taylor expansion of k in n 1545733223.709 * [misc]backup-simplify: Simplify k into k 1545733223.709 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.709 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.709 * [misc]backup-simplify: Simplify PI into PI 1545733223.710 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.710 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733223.710 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733223.710 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733223.710 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545733223.710 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545733223.710 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545733223.710 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.710 * [misc]taylor: Taking taylor expansion of k in n 1545733223.711 * [misc]backup-simplify: Simplify k into k 1545733223.711 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.711 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545733223.711 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733223.711 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545733223.711 * [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 1545733223.711 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.711 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.711 * [misc]taylor: Taking taylor expansion of k in k 1545733223.711 * [misc]backup-simplify: Simplify 0 into 0 1545733223.711 * [misc]backup-simplify: Simplify 1 into 1 1545733223.711 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733223.711 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.711 * [misc]backup-simplify: Simplify 2 into 2 1545733223.711 * [misc]taylor: Taking taylor expansion of n in k 1545733223.711 * [misc]backup-simplify: Simplify n into n 1545733223.711 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733223.711 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733223.711 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.711 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.712 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.712 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733223.712 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733223.712 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.712 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.712 * [misc]taylor: Taking taylor expansion of k in k 1545733223.712 * [misc]backup-simplify: Simplify 0 into 0 1545733223.712 * [misc]backup-simplify: Simplify 1 into 1 1545733223.712 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.712 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.712 * [misc]backup-simplify: Simplify PI into PI 1545733223.712 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.712 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.712 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.712 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.713 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.713 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.713 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733223.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.713 * [misc]taylor: Taking taylor expansion of k in k 1545733223.713 * [misc]backup-simplify: Simplify 0 into 0 1545733223.713 * [misc]backup-simplify: Simplify 1 into 1 1545733223.713 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.713 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.714 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733223.714 * [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 1545733223.714 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.714 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.714 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.714 * [misc]taylor: Taking taylor expansion of k in k 1545733223.714 * [misc]backup-simplify: Simplify 0 into 0 1545733223.714 * [misc]backup-simplify: Simplify 1 into 1 1545733223.714 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733223.714 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.714 * [misc]backup-simplify: Simplify 2 into 2 1545733223.714 * [misc]taylor: Taking taylor expansion of n in k 1545733223.714 * [misc]backup-simplify: Simplify n into n 1545733223.714 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733223.714 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733223.714 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.714 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.715 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.715 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733223.715 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733223.715 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.715 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.715 * [misc]taylor: Taking taylor expansion of k in k 1545733223.715 * [misc]backup-simplify: Simplify 0 into 0 1545733223.715 * [misc]backup-simplify: Simplify 1 into 1 1545733223.715 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.715 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.715 * [misc]backup-simplify: Simplify PI into PI 1545733223.715 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.715 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.715 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.715 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.716 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.716 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.716 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733223.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.716 * [misc]taylor: Taking taylor expansion of k in k 1545733223.716 * [misc]backup-simplify: Simplify 0 into 0 1545733223.716 * [misc]backup-simplify: Simplify 1 into 1 1545733223.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.717 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733223.717 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545733223.717 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545733223.717 * [misc]taylor: Taking taylor expansion of 0 in n 1545733223.717 * [misc]backup-simplify: Simplify 0 into 0 1545733223.717 * [misc]backup-simplify: Simplify 0 into 0 1545733223.719 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.719 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733223.719 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.719 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733223.722 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733223.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545733223.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545733223.723 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733223.723 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.723 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545733223.723 * [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)))) 1545733223.724 * [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)))))) 1545733223.725 * [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))))) 1545733223.725 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.725 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.725 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.725 * [misc]backup-simplify: Simplify 2 into 2 1545733223.725 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.725 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.725 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733223.725 * [misc]taylor: Taking taylor expansion of n in n 1545733223.725 * [misc]backup-simplify: Simplify 0 into 0 1545733223.725 * [misc]backup-simplify: Simplify 1 into 1 1545733223.725 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.725 * [misc]backup-simplify: Simplify PI into PI 1545733223.726 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733223.726 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733223.726 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.726 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.726 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545733223.727 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.727 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.727 * [misc]backup-simplify: Simplify 0 into 0 1545733223.727 * [misc]backup-simplify: Simplify 0 into 0 1545733223.727 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733223.727 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733223.730 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733223.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733223.730 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733223.733 * [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))) 1545733223.734 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545733223.735 * [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 1545733223.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733223.735 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.735 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545733223.736 * [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))) 1545733223.738 * [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))))))) 1545733223.742 * [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))))))))) 1545733223.743 * [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 1545733223.743 * [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 1545733223.743 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.743 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.743 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.743 * [misc]backup-simplify: Simplify 2 into 2 1545733223.743 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.743 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.743 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.743 * [misc]backup-simplify: Simplify PI into PI 1545733223.743 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.743 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.743 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.743 * [misc]backup-simplify: Simplify PI into PI 1545733223.743 * [misc]taylor: Taking taylor expansion of n in n 1545733223.743 * [misc]backup-simplify: Simplify 0 into 0 1545733223.743 * [misc]backup-simplify: Simplify 1 into 1 1545733223.743 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.744 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.744 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.744 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.744 * [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 1545733223.744 * [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 1545733223.744 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545733223.744 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.744 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.744 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545733223.744 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.744 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.744 * [misc]backup-simplify: Simplify 2 into 2 1545733223.745 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.745 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545733223.745 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733223.745 * [misc]taylor: Taking taylor expansion of n in n 1545733223.745 * [misc]backup-simplify: Simplify 0 into 0 1545733223.745 * [misc]backup-simplify: Simplify 1 into 1 1545733223.745 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.745 * [misc]backup-simplify: Simplify PI into PI 1545733223.745 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733223.745 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733223.745 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.746 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.746 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.746 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.746 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.746 * [misc]backup-simplify: Simplify 2 into 2 1545733223.746 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.746 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.746 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.746 * [misc]backup-simplify: Simplify 2 into 2 1545733223.746 * [misc]taylor: Taking taylor expansion of n in n 1545733223.746 * [misc]backup-simplify: Simplify 0 into 0 1545733223.746 * [misc]backup-simplify: Simplify 1 into 1 1545733223.747 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.747 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.747 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.747 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.747 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.747 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.747 * [misc]backup-simplify: Simplify PI into PI 1545733223.747 * [misc]taylor: Taking taylor expansion of n in n 1545733223.747 * [misc]backup-simplify: Simplify 0 into 0 1545733223.747 * [misc]backup-simplify: Simplify 1 into 1 1545733223.747 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.748 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.748 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.748 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.748 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545733223.749 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545733223.749 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.749 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545733223.749 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.750 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545733223.750 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.750 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.751 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.751 * [misc]backup-simplify: Simplify 0 into 0 1545733223.751 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.752 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.753 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.754 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.754 * [misc]backup-simplify: Simplify 0 into 0 1545733223.754 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733223.755 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733223.759 * [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 1545733223.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545733223.759 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545733223.764 * [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))) 1545733223.764 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545733223.766 * [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 1545733223.766 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545733223.766 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545733223.768 * [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))) 1545733223.771 * [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))))))))) 1545733223.779 * [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))))))))))))))) 1545733223.779 * [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 1545733223.779 * [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 1545733223.779 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545733223.780 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.780 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.780 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545733223.780 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545733223.780 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.780 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.780 * [misc]backup-simplify: Simplify 2 into 2 1545733223.780 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.780 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.780 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.780 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.780 * [misc]backup-simplify: Simplify PI into PI 1545733223.780 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.780 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.781 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.781 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.781 * [misc]backup-simplify: Simplify PI into PI 1545733223.781 * [misc]taylor: Taking taylor expansion of n in n 1545733223.781 * [misc]backup-simplify: Simplify 0 into 0 1545733223.781 * [misc]backup-simplify: Simplify 1 into 1 1545733223.781 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.781 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.782 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.782 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.782 * [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 1545733223.782 * [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 1545733223.782 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545733223.782 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.782 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.782 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545733223.782 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545733223.782 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.782 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.782 * [misc]backup-simplify: Simplify 2 into 2 1545733223.782 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.783 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.783 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545733223.783 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.783 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.783 * [misc]backup-simplify: Simplify PI into PI 1545733223.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.783 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.783 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.783 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.783 * [misc]backup-simplify: Simplify PI into PI 1545733223.783 * [misc]taylor: Taking taylor expansion of n in n 1545733223.783 * [misc]backup-simplify: Simplify 0 into 0 1545733223.783 * [misc]backup-simplify: Simplify 1 into 1 1545733223.783 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.784 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.784 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.784 * [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 1545733223.785 * [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 1545733223.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.785 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.785 * [misc]backup-simplify: Simplify 2 into 2 1545733223.785 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.785 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.785 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.785 * [misc]backup-simplify: Simplify 2 into 2 1545733223.785 * [misc]taylor: Taking taylor expansion of n in n 1545733223.785 * [misc]backup-simplify: Simplify 0 into 0 1545733223.785 * [misc]backup-simplify: Simplify 1 into 1 1545733223.785 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.786 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.786 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.786 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.786 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.786 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.786 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.786 * [misc]backup-simplify: Simplify PI into PI 1545733223.786 * [misc]taylor: Taking taylor expansion of n in n 1545733223.786 * [misc]backup-simplify: Simplify 0 into 0 1545733223.786 * [misc]backup-simplify: Simplify 1 into 1 1545733223.787 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.787 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.787 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.788 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.788 * [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 1545733223.788 * [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 1545733223.788 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.788 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.788 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.788 * [misc]backup-simplify: Simplify 2 into 2 1545733223.788 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.788 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.788 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.788 * [misc]backup-simplify: Simplify 2 into 2 1545733223.788 * [misc]taylor: Taking taylor expansion of n in n 1545733223.789 * [misc]backup-simplify: Simplify 0 into 0 1545733223.789 * [misc]backup-simplify: Simplify 1 into 1 1545733223.789 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.789 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.789 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.789 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.789 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.789 * [misc]backup-simplify: Simplify PI into PI 1545733223.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.789 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545733223.789 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733223.789 * [misc]taylor: Taking taylor expansion of n in n 1545733223.789 * [misc]backup-simplify: Simplify 0 into 0 1545733223.789 * [misc]backup-simplify: Simplify 1 into 1 1545733223.789 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.789 * [misc]backup-simplify: Simplify PI into PI 1545733223.790 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733223.790 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733223.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.791 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.791 * [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 1545733223.791 * [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 1545733223.791 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545733223.791 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.791 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.791 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545733223.791 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.791 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.791 * [misc]backup-simplify: Simplify 2 into 2 1545733223.791 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.791 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.791 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545733223.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733223.792 * [misc]taylor: Taking taylor expansion of n in n 1545733223.792 * [misc]backup-simplify: Simplify 0 into 0 1545733223.792 * [misc]backup-simplify: Simplify 1 into 1 1545733223.792 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.792 * [misc]backup-simplify: Simplify PI into PI 1545733223.792 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733223.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733223.793 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.793 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.793 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545733223.793 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545733223.793 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.793 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.793 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545733223.793 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545733223.793 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.793 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.793 * [misc]backup-simplify: Simplify 2 into 2 1545733223.793 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.793 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.794 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.794 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.794 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.794 * [misc]backup-simplify: Simplify 2 into 2 1545733223.794 * [misc]taylor: Taking taylor expansion of n in n 1545733223.794 * [misc]backup-simplify: Simplify 0 into 0 1545733223.794 * [misc]backup-simplify: Simplify 1 into 1 1545733223.794 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.794 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.794 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.794 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.794 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.794 * [misc]backup-simplify: Simplify PI into PI 1545733223.794 * [misc]taylor: Taking taylor expansion of n in n 1545733223.794 * [misc]backup-simplify: Simplify 0 into 0 1545733223.794 * [misc]backup-simplify: Simplify 1 into 1 1545733223.795 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.795 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.795 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.796 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.797 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545733223.798 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545733223.798 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.799 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545733223.799 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545733223.801 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545733223.801 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.801 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.802 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.802 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545733223.802 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545733223.803 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545733223.803 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.803 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.804 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545733223.804 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545733223.805 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545733223.805 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.806 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545733223.806 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.806 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.807 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545733223.807 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545733223.807 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545733223.807 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.807 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.809 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.809 * [misc]backup-simplify: Simplify 0 into 0 1545733223.811 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.812 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545733223.814 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733223.817 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733223.818 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.820 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545733223.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733223.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733223.823 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.824 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545733223.825 * [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)))))) 1545733223.827 * [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)))))) 1545733223.829 * [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)))))) 1545733223.832 * [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))))))) 1545733223.834 * [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))))))) 1545733223.837 * [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))))))))) 1545733223.841 * [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))))))))) 1545733223.844 * [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))))))))) 1545733223.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545733223.846 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545733223.847 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545733223.848 * [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)))) 1545733223.850 * [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)))) 1545733223.851 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545733223.852 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545733223.861 * [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))))))))))))))) 1545733223.862 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545733223.862 * [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 1545733223.862 * [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 1545733223.862 * [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 1545733223.862 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of k in n 1545733223.862 * [misc]backup-simplify: Simplify k into k 1545733223.862 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.862 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.862 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.862 * [misc]backup-simplify: Simplify PI into PI 1545733223.863 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.863 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.863 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.863 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.863 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733223.864 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.864 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of k in n 1545733223.864 * [misc]backup-simplify: Simplify k into k 1545733223.864 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.864 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733223.864 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.864 * [misc]backup-simplify: Simplify 2 into 2 1545733223.864 * [misc]taylor: Taking taylor expansion of n in n 1545733223.864 * [misc]backup-simplify: Simplify 0 into 0 1545733223.864 * [misc]backup-simplify: Simplify 1 into 1 1545733223.865 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733223.865 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.865 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.865 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.865 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733223.866 * [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))) 1545733223.866 * [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)))) 1545733223.866 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545733223.866 * [misc]taylor: Taking taylor expansion of k in n 1545733223.866 * [misc]backup-simplify: Simplify k into k 1545733223.866 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545733223.866 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545733223.866 * [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 1545733223.866 * [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 1545733223.866 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of k in k 1545733223.867 * [misc]backup-simplify: Simplify 0 into 0 1545733223.867 * [misc]backup-simplify: Simplify 1 into 1 1545733223.867 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.867 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.867 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.867 * [misc]backup-simplify: Simplify PI into PI 1545733223.867 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.868 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.868 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.868 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.868 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733223.869 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.869 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.869 * [misc]taylor: Taking taylor expansion of k in k 1545733223.869 * [misc]backup-simplify: Simplify 0 into 0 1545733223.869 * [misc]backup-simplify: Simplify 1 into 1 1545733223.870 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.870 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733223.870 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733223.870 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.870 * [misc]backup-simplify: Simplify 2 into 2 1545733223.870 * [misc]taylor: Taking taylor expansion of n in k 1545733223.870 * [misc]backup-simplify: Simplify n into n 1545733223.870 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733223.870 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733223.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.870 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.871 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.871 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733223.871 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.871 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733223.871 * [misc]taylor: Taking taylor expansion of k in k 1545733223.871 * [misc]backup-simplify: Simplify 0 into 0 1545733223.871 * [misc]backup-simplify: Simplify 1 into 1 1545733223.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.872 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733223.872 * [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 1545733223.872 * [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 1545733223.872 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.872 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of k in k 1545733223.872 * [misc]backup-simplify: Simplify 0 into 0 1545733223.872 * [misc]backup-simplify: Simplify 1 into 1 1545733223.872 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.872 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.872 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.872 * [misc]backup-simplify: Simplify PI into PI 1545733223.873 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.873 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.873 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.873 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.874 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733223.874 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.874 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.874 * [misc]taylor: Taking taylor expansion of k in k 1545733223.874 * [misc]backup-simplify: Simplify 0 into 0 1545733223.874 * [misc]backup-simplify: Simplify 1 into 1 1545733223.875 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.875 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733223.875 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733223.875 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.875 * [misc]backup-simplify: Simplify 2 into 2 1545733223.875 * [misc]taylor: Taking taylor expansion of n in k 1545733223.875 * [misc]backup-simplify: Simplify n into n 1545733223.875 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733223.875 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733223.875 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.875 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.875 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.876 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733223.876 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.876 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733223.876 * [misc]taylor: Taking taylor expansion of k in k 1545733223.876 * [misc]backup-simplify: Simplify 0 into 0 1545733223.876 * [misc]backup-simplify: Simplify 1 into 1 1545733223.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.876 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733223.877 * [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))))) 1545733223.877 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545733223.877 * [misc]taylor: Taking taylor expansion of 0 in n 1545733223.877 * [misc]backup-simplify: Simplify 0 into 0 1545733223.877 * [misc]backup-simplify: Simplify 0 into 0 1545733223.878 * [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 1545733223.878 * [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))))))) 1545733223.878 * [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 1545733223.878 * [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 1545733223.878 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.878 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.878 * [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 1545733223.878 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733223.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733223.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.879 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.879 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.879 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.879 * [misc]taylor: Taking taylor expansion of k in n 1545733223.879 * [misc]backup-simplify: Simplify k into k 1545733223.879 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.879 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.879 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.879 * [misc]backup-simplify: Simplify PI into PI 1545733223.879 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.879 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.879 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.879 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.880 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733223.880 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.880 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.880 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733223.880 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733223.880 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.880 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.880 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.881 * [misc]taylor: Taking taylor expansion of k in n 1545733223.881 * [misc]backup-simplify: Simplify k into k 1545733223.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.881 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733223.881 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733223.881 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.881 * [misc]backup-simplify: Simplify 2 into 2 1545733223.881 * [misc]taylor: Taking taylor expansion of n in n 1545733223.881 * [misc]backup-simplify: Simplify 0 into 0 1545733223.881 * [misc]backup-simplify: Simplify 1 into 1 1545733223.881 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733223.881 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.881 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.881 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.881 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.882 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733223.882 * [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))) 1545733223.882 * [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)))) 1545733223.883 * [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))))) 1545733223.883 * [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)))))) 1545733223.884 * [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))))))) 1545733223.884 * [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))))))) 1545733223.885 * [misc]backup-simplify: Simplify 0 into 0 1545733223.886 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733223.886 * [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 1545733223.887 * [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))))))) 1545733223.887 * [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 1545733223.887 * [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 1545733223.887 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.887 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.887 * [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 1545733223.887 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of k in n 1545733223.887 * [misc]backup-simplify: Simplify k into k 1545733223.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.887 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.887 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.887 * [misc]backup-simplify: Simplify PI into PI 1545733223.888 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.888 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.888 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.888 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.888 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733223.889 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.889 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.889 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of k in n 1545733223.889 * [misc]backup-simplify: Simplify k into k 1545733223.889 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.889 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733223.889 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.889 * [misc]backup-simplify: Simplify 2 into 2 1545733223.889 * [misc]taylor: Taking taylor expansion of n in n 1545733223.889 * [misc]backup-simplify: Simplify 0 into 0 1545733223.889 * [misc]backup-simplify: Simplify 1 into 1 1545733223.889 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733223.890 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.890 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.890 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.890 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.890 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733223.891 * [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))) 1545733223.891 * [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)))) 1545733223.891 * [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))))) 1545733223.892 * [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)))))) 1545733223.892 * [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))))))) 1545733223.893 * [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))))))) 1545733223.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733223.896 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733223.896 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733223.896 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733223.896 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733223.897 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733223.898 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733223.901 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.901 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733223.901 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733223.902 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.902 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545733223.904 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733223.904 * [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 1545733223.905 * [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 1545733223.905 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.905 * [misc]backup-simplify: Simplify 0 into 0 1545733223.905 * [misc]backup-simplify: Simplify 0 into 0 1545733223.906 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733223.907 * [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 1545733223.907 * [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))))))) 1545733223.907 * [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 1545733223.907 * [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 1545733223.907 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.907 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.907 * [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 1545733223.907 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.908 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.908 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of k in n 1545733223.908 * [misc]backup-simplify: Simplify k into k 1545733223.908 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.908 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.908 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.908 * [misc]backup-simplify: Simplify PI into PI 1545733223.908 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.908 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.908 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.909 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733223.909 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733223.909 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733223.909 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733223.909 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733223.909 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733223.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.910 * [misc]taylor: Taking taylor expansion of k in n 1545733223.910 * [misc]backup-simplify: Simplify k into k 1545733223.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.910 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733223.910 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733223.910 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.910 * [misc]backup-simplify: Simplify 2 into 2 1545733223.910 * [misc]taylor: Taking taylor expansion of n in n 1545733223.910 * [misc]backup-simplify: Simplify 0 into 0 1545733223.910 * [misc]backup-simplify: Simplify 1 into 1 1545733223.910 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733223.910 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.910 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733223.911 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733223.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733223.911 * [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))) 1545733223.911 * [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)))) 1545733223.912 * [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))))) 1545733223.912 * [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)))))) 1545733223.912 * [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))))))) 1545733223.913 * [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))))))) 1545733223.914 * [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)))))))) 1545733223.914 * [misc]backup-simplify: Simplify (/ (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545733223.914 * [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 1545733223.914 * [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 1545733223.914 * [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 1545733223.914 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.914 * [misc]taylor: Taking taylor expansion of k in n 1545733223.915 * [misc]backup-simplify: Simplify k into k 1545733223.915 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.915 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.915 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.915 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733223.915 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733223.915 * [misc]taylor: Taking taylor expansion of -2 in n 1545733223.915 * [misc]backup-simplify: Simplify -2 into -2 1545733223.915 * [misc]taylor: Taking taylor expansion of n in n 1545733223.915 * [misc]backup-simplify: Simplify 0 into 0 1545733223.915 * [misc]backup-simplify: Simplify 1 into 1 1545733223.915 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733223.915 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733223.915 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.915 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.915 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733223.915 * [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))) 1545733223.916 * [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)))) 1545733223.916 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of k in n 1545733223.916 * [misc]backup-simplify: Simplify k into k 1545733223.916 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.916 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.916 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.916 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.916 * [misc]backup-simplify: Simplify PI into PI 1545733223.916 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.916 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.916 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.916 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733223.917 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.917 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545733223.917 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545733223.917 * [misc]taylor: Taking taylor expansion of -1 in n 1545733223.917 * [misc]backup-simplify: Simplify -1 into -1 1545733223.917 * [misc]taylor: Taking taylor expansion of k in n 1545733223.917 * [misc]backup-simplify: Simplify k into k 1545733223.917 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545733223.917 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545733223.917 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545733223.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545733223.917 * [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))) 1545733223.918 * [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))) 1545733223.918 * [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 1545733223.918 * [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 1545733223.918 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of k in k 1545733223.918 * [misc]backup-simplify: Simplify 0 into 0 1545733223.918 * [misc]backup-simplify: Simplify 1 into 1 1545733223.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.918 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733223.918 * [misc]taylor: Taking taylor expansion of -2 in k 1545733223.918 * [misc]backup-simplify: Simplify -2 into -2 1545733223.918 * [misc]taylor: Taking taylor expansion of n in k 1545733223.918 * [misc]backup-simplify: Simplify n into n 1545733223.918 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733223.918 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733223.918 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.918 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.918 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733223.919 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.919 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of k in k 1545733223.919 * [misc]backup-simplify: Simplify 0 into 0 1545733223.919 * [misc]backup-simplify: Simplify 1 into 1 1545733223.919 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.919 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.919 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.919 * [misc]backup-simplify: Simplify PI into PI 1545733223.919 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.919 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.919 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.920 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.920 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.920 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733223.920 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733223.920 * [misc]taylor: Taking taylor expansion of -1 in k 1545733223.920 * [misc]backup-simplify: Simplify -1 into -1 1545733223.920 * [misc]taylor: Taking taylor expansion of k in k 1545733223.920 * [misc]backup-simplify: Simplify 0 into 0 1545733223.920 * [misc]backup-simplify: Simplify 1 into 1 1545733223.920 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733223.920 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.920 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733223.921 * [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))) 1545733223.921 * [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)))) 1545733223.921 * [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 1545733223.921 * [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 1545733223.921 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.921 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of k in k 1545733223.921 * [misc]backup-simplify: Simplify 0 into 0 1545733223.921 * [misc]backup-simplify: Simplify 1 into 1 1545733223.921 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.921 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.921 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.921 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733223.921 * [misc]taylor: Taking taylor expansion of -2 in k 1545733223.921 * [misc]backup-simplify: Simplify -2 into -2 1545733223.921 * [misc]taylor: Taking taylor expansion of n in k 1545733223.921 * [misc]backup-simplify: Simplify n into n 1545733223.921 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733223.921 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733223.921 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.922 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.922 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733223.922 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.922 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of k in k 1545733223.922 * [misc]backup-simplify: Simplify 0 into 0 1545733223.922 * [misc]backup-simplify: Simplify 1 into 1 1545733223.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733223.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.922 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.922 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.922 * [misc]backup-simplify: Simplify PI into PI 1545733223.922 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.922 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733223.922 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.923 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.923 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.923 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733223.923 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733223.923 * [misc]taylor: Taking taylor expansion of -1 in k 1545733223.923 * [misc]backup-simplify: Simplify -1 into -1 1545733223.923 * [misc]taylor: Taking taylor expansion of k in k 1545733223.923 * [misc]backup-simplify: Simplify 0 into 0 1545733223.923 * [misc]backup-simplify: Simplify 1 into 1 1545733223.923 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733223.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.924 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733223.924 * [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))) 1545733223.924 * [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)))) 1545733223.924 * [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 1545733223.924 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.924 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.924 * [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 1545733223.924 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of k in n 1545733223.924 * [misc]backup-simplify: Simplify k into k 1545733223.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.924 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733223.924 * [misc]taylor: Taking taylor expansion of -2 in n 1545733223.924 * [misc]backup-simplify: Simplify -2 into -2 1545733223.924 * [misc]taylor: Taking taylor expansion of n in n 1545733223.924 * [misc]backup-simplify: Simplify 0 into 0 1545733223.924 * [misc]backup-simplify: Simplify 1 into 1 1545733223.924 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733223.925 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733223.925 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.925 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733223.925 * [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))) 1545733223.925 * [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)))) 1545733223.925 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.925 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733223.925 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733223.925 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.925 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.926 * [misc]taylor: Taking taylor expansion of k in n 1545733223.926 * [misc]backup-simplify: Simplify k into k 1545733223.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.926 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.926 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.926 * [misc]backup-simplify: Simplify PI into PI 1545733223.926 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.926 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.926 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733223.926 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.927 * [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))) 1545733223.927 * [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)))) 1545733223.927 * [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)))) 1545733223.927 * [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 1545733223.928 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545733223.928 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733223.929 * [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))))) 1545733223.929 * [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 1545733223.929 * [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 1545733223.929 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.929 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.929 * [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 1545733223.929 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of k in n 1545733223.929 * [misc]backup-simplify: Simplify k into k 1545733223.929 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.929 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733223.929 * [misc]taylor: Taking taylor expansion of -2 in n 1545733223.929 * [misc]backup-simplify: Simplify -2 into -2 1545733223.929 * [misc]taylor: Taking taylor expansion of n in n 1545733223.929 * [misc]backup-simplify: Simplify 0 into 0 1545733223.929 * [misc]backup-simplify: Simplify 1 into 1 1545733223.929 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733223.929 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733223.929 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.929 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733223.930 * [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))) 1545733223.930 * [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)))) 1545733223.930 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.930 * [misc]taylor: Taking taylor expansion of k in n 1545733223.930 * [misc]backup-simplify: Simplify k into k 1545733223.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.931 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.931 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.931 * [misc]backup-simplify: Simplify PI into PI 1545733223.931 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.931 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.931 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.931 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733223.931 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.932 * [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))) 1545733223.932 * [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)))) 1545733223.932 * [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))))) 1545733223.933 * [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))))) 1545733223.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.934 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733223.934 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733223.934 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.935 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545733223.936 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733223.936 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733223.937 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733223.937 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733223.937 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733223.938 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.938 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733223.938 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733223.939 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733223.939 * [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 1545733223.940 * [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 1545733223.940 * [misc]backup-simplify: Simplify 0 into 0 1545733223.940 * [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 1545733223.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733223.942 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733223.943 * [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))))) 1545733223.943 * [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 1545733223.943 * [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 1545733223.943 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733223.943 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733223.943 * [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 1545733223.943 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.943 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.943 * [misc]taylor: Taking taylor expansion of k in n 1545733223.943 * [misc]backup-simplify: Simplify k into k 1545733223.943 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.944 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733223.944 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733223.944 * [misc]taylor: Taking taylor expansion of -2 in n 1545733223.944 * [misc]backup-simplify: Simplify -2 into -2 1545733223.944 * [misc]taylor: Taking taylor expansion of n in n 1545733223.944 * [misc]backup-simplify: Simplify 0 into 0 1545733223.944 * [misc]backup-simplify: Simplify 1 into 1 1545733223.944 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733223.944 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733223.944 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.944 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733223.945 * [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))) 1545733223.945 * [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)))) 1545733223.945 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of k in n 1545733223.945 * [misc]backup-simplify: Simplify k into k 1545733223.945 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733223.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.945 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.945 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.945 * [misc]backup-simplify: Simplify PI into PI 1545733223.946 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.946 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733223.946 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733223.946 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733223.947 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733223.947 * [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))) 1545733223.947 * [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)))) 1545733223.948 * [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))))) 1545733223.948 * [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))))) 1545733223.950 * [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)))))))) 1545733223.950 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545733223.951 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545733223.951 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1545733223.951 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.951 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.951 * [misc]taylor: Taking taylor expansion of k in n 1545733223.951 * [misc]backup-simplify: Simplify k into k 1545733223.951 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.951 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.951 * [misc]backup-simplify: Simplify 2 into 2 1545733223.951 * [misc]taylor: Taking taylor expansion of n in n 1545733223.951 * [misc]backup-simplify: Simplify 0 into 0 1545733223.951 * [misc]backup-simplify: Simplify 1 into 1 1545733223.951 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.952 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.952 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.952 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733223.952 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733223.952 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733223.952 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.953 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733223.953 * [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)))) 1545733223.953 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.953 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.953 * [misc]taylor: Taking taylor expansion of k in n 1545733223.953 * [misc]backup-simplify: Simplify k into k 1545733223.953 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.953 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.953 * [misc]backup-simplify: Simplify PI into PI 1545733223.954 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.954 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733223.954 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733223.954 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733223.954 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545733223.955 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545733223.955 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.955 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.955 * [misc]taylor: Taking taylor expansion of k in k 1545733223.955 * [misc]backup-simplify: Simplify 0 into 0 1545733223.955 * [misc]backup-simplify: Simplify 1 into 1 1545733223.955 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733223.955 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.955 * [misc]backup-simplify: Simplify 2 into 2 1545733223.955 * [misc]taylor: Taking taylor expansion of n in k 1545733223.955 * [misc]backup-simplify: Simplify n into n 1545733223.955 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733223.955 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733223.955 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.955 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.956 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.956 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733223.956 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733223.956 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.956 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.956 * [misc]taylor: Taking taylor expansion of k in k 1545733223.956 * [misc]backup-simplify: Simplify 0 into 0 1545733223.956 * [misc]backup-simplify: Simplify 1 into 1 1545733223.956 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.956 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.956 * [misc]backup-simplify: Simplify PI into PI 1545733223.956 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.956 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.957 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.957 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.957 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.958 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.958 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.958 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.958 * [misc]taylor: Taking taylor expansion of k in k 1545733223.958 * [misc]backup-simplify: Simplify 0 into 0 1545733223.958 * [misc]backup-simplify: Simplify 1 into 1 1545733223.958 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733223.958 * [misc]taylor: Taking taylor expansion of 2 in k 1545733223.958 * [misc]backup-simplify: Simplify 2 into 2 1545733223.958 * [misc]taylor: Taking taylor expansion of n in k 1545733223.958 * [misc]backup-simplify: Simplify n into n 1545733223.958 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733223.962 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733223.962 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.962 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.963 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.963 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733223.963 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733223.963 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.963 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733223.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.963 * [misc]taylor: Taking taylor expansion of k in k 1545733223.963 * [misc]backup-simplify: Simplify 0 into 0 1545733223.963 * [misc]backup-simplify: Simplify 1 into 1 1545733223.963 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733223.963 * [misc]taylor: Taking taylor expansion of PI in k 1545733223.963 * [misc]backup-simplify: Simplify PI into PI 1545733223.964 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.964 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.964 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.964 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733223.965 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733223.966 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733223.966 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545733223.966 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545733223.966 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545733223.966 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.966 * [misc]backup-simplify: Simplify PI into PI 1545733223.966 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545733223.966 * [misc]taylor: Taking taylor expansion of n in n 1545733223.966 * [misc]backup-simplify: Simplify 0 into 0 1545733223.966 * [misc]backup-simplify: Simplify 1 into 1 1545733223.966 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.966 * [misc]backup-simplify: Simplify 2 into 2 1545733223.967 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545733223.967 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545733223.968 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545733223.968 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.969 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.969 * [misc]backup-simplify: Simplify 0 into 0 1545733223.971 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733223.971 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733223.971 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.972 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733223.976 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733223.976 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545733223.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545733223.977 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733223.977 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733223.977 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733223.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545733223.978 * [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)))) 1545733223.980 * [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)))))) 1545733223.980 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.980 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.980 * [misc]backup-simplify: Simplify 2 into 2 1545733223.980 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.980 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.980 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733223.980 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.980 * [misc]backup-simplify: Simplify PI into PI 1545733223.981 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733223.981 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.981 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.981 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.981 * [misc]backup-simplify: Simplify PI into PI 1545733223.981 * [misc]taylor: Taking taylor expansion of n in n 1545733223.981 * [misc]backup-simplify: Simplify 0 into 0 1545733223.981 * [misc]backup-simplify: Simplify 1 into 1 1545733223.981 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.982 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.982 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.983 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545733223.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733223.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733223.983 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545733223.983 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545733223.983 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733223.983 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.983 * [misc]backup-simplify: Simplify 2 into 2 1545733223.983 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733223.983 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733223.983 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733223.984 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733223.984 * [misc]taylor: Taking taylor expansion of 2 in n 1545733223.984 * [misc]backup-simplify: Simplify 2 into 2 1545733223.984 * [misc]taylor: Taking taylor expansion of n in n 1545733223.984 * [misc]backup-simplify: Simplify 0 into 0 1545733223.984 * [misc]backup-simplify: Simplify 1 into 1 1545733223.984 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733223.984 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733223.984 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733223.984 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733223.984 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733223.984 * [misc]taylor: Taking taylor expansion of PI in n 1545733223.984 * [misc]backup-simplify: Simplify PI into PI 1545733223.984 * [misc]taylor: Taking taylor expansion of n in n 1545733223.984 * [misc]backup-simplify: Simplify 0 into 0 1545733223.984 * [misc]backup-simplify: Simplify 1 into 1 1545733223.985 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733223.985 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733223.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733223.986 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733223.987 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545733223.988 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545733223.988 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.988 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733223.989 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545733223.989 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545733223.989 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733223.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.990 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.990 * [misc]backup-simplify: Simplify 0 into 0 1545733223.990 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545733223.995 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733223.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733223.995 * [misc]backup-simplify: Simplify (- 0) into 0 1545733223.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733223.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733224.002 * [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))) 1545733224.003 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545733224.004 * [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 1545733224.004 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733224.004 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.005 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545733224.006 * [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))) 1545733224.008 * [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))))))) 1545733224.008 * [misc]taylor: Taking taylor expansion of (+ (* 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))))))) in n 1545733224.008 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545733224.008 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545733224.008 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545733224.008 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545733224.008 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545733224.008 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733224.008 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.008 * [misc]backup-simplify: Simplify 2 into 2 1545733224.009 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733224.009 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733224.009 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545733224.009 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.009 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.009 * [misc]backup-simplify: Simplify PI into PI 1545733224.009 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.009 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733224.009 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733224.009 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.009 * [misc]backup-simplify: Simplify PI into PI 1545733224.009 * [misc]taylor: Taking taylor expansion of n in n 1545733224.009 * [misc]backup-simplify: Simplify 0 into 0 1545733224.009 * [misc]backup-simplify: Simplify 1 into 1 1545733224.009 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733224.010 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733224.010 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733224.010 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733224.010 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1545733224.010 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545733224.010 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545733224.010 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545733224.010 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545733224.010 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545733224.010 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733224.010 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.010 * [misc]backup-simplify: Simplify 2 into 2 1545733224.011 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733224.011 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733224.011 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545733224.011 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733224.011 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733224.011 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.011 * [misc]backup-simplify: Simplify 2 into 2 1545733224.011 * [misc]taylor: Taking taylor expansion of n in n 1545733224.011 * [misc]backup-simplify: Simplify 0 into 0 1545733224.011 * [misc]backup-simplify: Simplify 1 into 1 1545733224.011 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733224.011 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733224.011 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.012 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.012 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733224.012 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733224.012 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.012 * [misc]backup-simplify: Simplify PI into PI 1545733224.012 * [misc]taylor: Taking taylor expansion of n in n 1545733224.012 * [misc]backup-simplify: Simplify 0 into 0 1545733224.012 * [misc]backup-simplify: Simplify 1 into 1 1545733224.013 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733224.013 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733224.013 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733224.014 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733224.014 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545733224.014 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545733224.014 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545733224.014 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545733224.014 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733224.014 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733224.014 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.014 * [misc]backup-simplify: Simplify PI into PI 1545733224.014 * [misc]taylor: Taking taylor expansion of n in n 1545733224.014 * [misc]backup-simplify: Simplify 0 into 0 1545733224.014 * [misc]backup-simplify: Simplify 1 into 1 1545733224.014 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733224.014 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733224.015 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733224.015 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733224.015 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545733224.015 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733224.015 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.015 * [misc]backup-simplify: Simplify 2 into 2 1545733224.015 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733224.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733224.015 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545733224.015 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733224.015 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733224.015 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.015 * [misc]backup-simplify: Simplify 2 into 2 1545733224.015 * [misc]taylor: Taking taylor expansion of n in n 1545733224.015 * [misc]backup-simplify: Simplify 0 into 0 1545733224.015 * [misc]backup-simplify: Simplify 1 into 1 1545733224.016 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733224.016 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733224.016 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.016 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.016 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.016 * [misc]backup-simplify: Simplify PI into PI 1545733224.016 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.017 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545733224.017 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545733224.018 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545733224.018 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545733224.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.019 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.019 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545733224.019 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545733224.019 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545733224.020 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545733224.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.020 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545733224.020 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545733224.021 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545733224.021 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545733224.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.021 * [misc]backup-simplify: Simplify 0 into 0 1545733224.023 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733224.023 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545733224.024 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733224.026 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733224.026 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733224.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733224.028 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.028 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545733224.029 * [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)))))) 1545733224.030 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +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)))))) 1545733224.032 * [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))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733224.035 * [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))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733224.038 * [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)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733224.038 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545733224.038 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545733224.039 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545733224.040 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545733224.043 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (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)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545733224.043 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (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))))) 1545733224.043 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545733224.043 * [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 1545733224.043 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.043 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733224.043 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733224.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.044 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.044 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.044 * [misc]taylor: Taking taylor expansion of k in n 1545733224.044 * [misc]backup-simplify: Simplify k into k 1545733224.044 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.044 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.044 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.044 * [misc]backup-simplify: Simplify PI into PI 1545733224.044 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.044 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.044 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.044 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.044 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733224.045 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.045 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of k in n 1545733224.045 * [misc]backup-simplify: Simplify k into k 1545733224.045 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.045 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733224.045 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.045 * [misc]backup-simplify: Simplify 2 into 2 1545733224.045 * [misc]taylor: Taking taylor expansion of n in n 1545733224.045 * [misc]backup-simplify: Simplify 0 into 0 1545733224.045 * [misc]backup-simplify: Simplify 1 into 1 1545733224.045 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733224.045 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.045 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.045 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.045 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.046 * [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))) 1545733224.046 * [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)))) 1545733224.046 * [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 1545733224.046 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.046 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.046 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of k in k 1545733224.046 * [misc]backup-simplify: Simplify 0 into 0 1545733224.046 * [misc]backup-simplify: Simplify 1 into 1 1545733224.046 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.046 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733224.046 * [misc]taylor: Taking taylor expansion of PI in k 1545733224.046 * [misc]backup-simplify: Simplify PI into PI 1545733224.047 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.047 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.047 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.047 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.047 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733224.047 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.047 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of k in k 1545733224.048 * [misc]backup-simplify: Simplify 0 into 0 1545733224.048 * [misc]backup-simplify: Simplify 1 into 1 1545733224.048 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.048 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733224.048 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.048 * [misc]backup-simplify: Simplify 2 into 2 1545733224.048 * [misc]taylor: Taking taylor expansion of n in k 1545733224.048 * [misc]backup-simplify: Simplify n into n 1545733224.048 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733224.048 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733224.048 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.048 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.048 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.048 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733224.048 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.048 * [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 1545733224.049 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of k in k 1545733224.049 * [misc]backup-simplify: Simplify 0 into 0 1545733224.049 * [misc]backup-simplify: Simplify 1 into 1 1545733224.049 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.049 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733224.049 * [misc]taylor: Taking taylor expansion of PI in k 1545733224.049 * [misc]backup-simplify: Simplify PI into PI 1545733224.049 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.049 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.049 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.049 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.050 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733224.050 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.050 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of k in k 1545733224.050 * [misc]backup-simplify: Simplify 0 into 0 1545733224.050 * [misc]backup-simplify: Simplify 1 into 1 1545733224.050 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.050 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733224.050 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.050 * [misc]backup-simplify: Simplify 2 into 2 1545733224.050 * [misc]taylor: Taking taylor expansion of n in k 1545733224.050 * [misc]backup-simplify: Simplify n into n 1545733224.050 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733224.050 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733224.051 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.051 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.051 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.051 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733224.051 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.051 * [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))))) 1545733224.051 * [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 1545733224.051 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of k in n 1545733224.051 * [misc]backup-simplify: Simplify k into k 1545733224.051 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.051 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.051 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.051 * [misc]backup-simplify: Simplify PI into PI 1545733224.052 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.052 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.052 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.052 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.052 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733224.052 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.052 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.052 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.052 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.052 * [misc]taylor: Taking taylor expansion of k in n 1545733224.052 * [misc]backup-simplify: Simplify k into k 1545733224.052 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.053 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733224.053 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733224.053 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.053 * [misc]backup-simplify: Simplify 2 into 2 1545733224.053 * [misc]taylor: Taking taylor expansion of n in n 1545733224.053 * [misc]backup-simplify: Simplify 0 into 0 1545733224.053 * [misc]backup-simplify: Simplify 1 into 1 1545733224.053 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733224.053 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.053 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.053 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.053 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.053 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.053 * [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))) 1545733224.054 * [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)))) 1545733224.054 * [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))))) 1545733224.054 * [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))))) 1545733224.054 * [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 1545733224.054 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.054 * [misc]backup-simplify: Simplify 0 into 0 1545733224.054 * [misc]backup-simplify: Simplify 0 into 0 1545733224.055 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733224.056 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733224.056 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.056 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.056 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.056 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.057 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.057 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733224.058 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.059 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733224.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.059 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.059 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.060 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545733224.061 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.061 * [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 1545733224.061 * [misc]backup-simplify: Simplify 0 into 0 1545733224.061 * [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 1545733224.061 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.061 * [misc]backup-simplify: Simplify 0 into 0 1545733224.061 * [misc]backup-simplify: Simplify 0 into 0 1545733224.061 * [misc]backup-simplify: Simplify 0 into 0 1545733224.062 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.064 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733224.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.064 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.065 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.065 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.065 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545733224.066 * [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 1545733224.069 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733224.069 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.069 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.069 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.069 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.070 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545733224.071 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733224.072 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545733224.072 * [misc]backup-simplify: Simplify 0 into 0 1545733224.072 * [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 1545733224.072 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.072 * [misc]backup-simplify: Simplify 0 into 0 1545733224.072 * [misc]backup-simplify: Simplify 0 into 0 1545733224.072 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (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)))) (pow PI (- 1/2 (* 1/2 k)))) 1545733224.073 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (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))) 1545733224.073 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545733224.073 * [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 1545733224.073 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of k in n 1545733224.073 * [misc]backup-simplify: Simplify k into k 1545733224.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.073 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733224.073 * [misc]taylor: Taking taylor expansion of -2 in n 1545733224.073 * [misc]backup-simplify: Simplify -2 into -2 1545733224.073 * [misc]taylor: Taking taylor expansion of n in n 1545733224.073 * [misc]backup-simplify: Simplify 0 into 0 1545733224.073 * [misc]backup-simplify: Simplify 1 into 1 1545733224.073 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733224.073 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733224.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.073 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.074 * [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))) 1545733224.074 * [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)))) 1545733224.074 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of k in n 1545733224.074 * [misc]backup-simplify: Simplify k into k 1545733224.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.074 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.074 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.074 * [misc]backup-simplify: Simplify PI into PI 1545733224.075 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.075 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733224.075 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.075 * [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 1545733224.075 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733224.075 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733224.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733224.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.076 * [misc]taylor: Taking taylor expansion of k in k 1545733224.076 * [misc]backup-simplify: Simplify 0 into 0 1545733224.076 * [misc]backup-simplify: Simplify 1 into 1 1545733224.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.076 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733224.076 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733224.076 * [misc]taylor: Taking taylor expansion of -2 in k 1545733224.076 * [misc]backup-simplify: Simplify -2 into -2 1545733224.076 * [misc]taylor: Taking taylor expansion of n in k 1545733224.076 * [misc]backup-simplify: Simplify n into n 1545733224.076 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733224.076 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733224.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.076 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.076 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733224.077 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.077 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.077 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of k in k 1545733224.077 * [misc]backup-simplify: Simplify 0 into 0 1545733224.077 * [misc]backup-simplify: Simplify 1 into 1 1545733224.077 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.077 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.077 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733224.077 * [misc]taylor: Taking taylor expansion of PI in k 1545733224.077 * [misc]backup-simplify: Simplify PI into PI 1545733224.077 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.078 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.078 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.078 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733224.078 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.078 * [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 1545733224.078 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of k in k 1545733224.079 * [misc]backup-simplify: Simplify 0 into 0 1545733224.079 * [misc]backup-simplify: Simplify 1 into 1 1545733224.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.079 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733224.079 * [misc]taylor: Taking taylor expansion of -2 in k 1545733224.079 * [misc]backup-simplify: Simplify -2 into -2 1545733224.079 * [misc]taylor: Taking taylor expansion of n in k 1545733224.079 * [misc]backup-simplify: Simplify n into n 1545733224.079 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733224.079 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733224.079 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.079 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.080 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733224.080 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.080 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of k in k 1545733224.080 * [misc]backup-simplify: Simplify 0 into 0 1545733224.080 * [misc]backup-simplify: Simplify 1 into 1 1545733224.080 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.080 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.080 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733224.080 * [misc]taylor: Taking taylor expansion of PI in k 1545733224.080 * [misc]backup-simplify: Simplify PI into PI 1545733224.081 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.081 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.081 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.081 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733224.082 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.082 * [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))) 1545733224.082 * [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 1545733224.082 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.082 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of k in n 1545733224.082 * [misc]backup-simplify: Simplify k into k 1545733224.082 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.082 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.082 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733224.082 * [misc]taylor: Taking taylor expansion of -2 in n 1545733224.082 * [misc]backup-simplify: Simplify -2 into -2 1545733224.082 * [misc]taylor: Taking taylor expansion of n in n 1545733224.082 * [misc]backup-simplify: Simplify 0 into 0 1545733224.082 * [misc]backup-simplify: Simplify 1 into 1 1545733224.083 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733224.083 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733224.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.083 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.084 * [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))) 1545733224.084 * [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)))) 1545733224.084 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.084 * [misc]taylor: Taking taylor expansion of k in n 1545733224.085 * [misc]backup-simplify: Simplify k into k 1545733224.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.085 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733224.085 * [misc]taylor: Taking taylor expansion of PI in n 1545733224.085 * [misc]backup-simplify: Simplify PI into PI 1545733224.085 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733224.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.085 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.086 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733224.086 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.086 * [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))) 1545733224.087 * [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))) 1545733224.087 * [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 1545733224.087 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.087 * [misc]backup-simplify: Simplify 0 into 0 1545733224.087 * [misc]backup-simplify: Simplify 0 into 0 1545733224.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733224.089 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.090 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545733224.091 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.092 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733224.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733224.094 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.095 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733224.096 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.097 * [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 1545733224.097 * [misc]backup-simplify: Simplify 0 into 0 1545733224.097 * [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 1545733224.097 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.097 * [misc]backup-simplify: Simplify 0 into 0 1545733224.097 * [misc]backup-simplify: Simplify 0 into 0 1545733224.097 * [misc]backup-simplify: Simplify 0 into 0 1545733224.101 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733224.101 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.101 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.102 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545733224.104 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733224.105 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.109 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545733224.109 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.110 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.110 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545733224.112 * [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 1545733224.113 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545733224.113 * [misc]backup-simplify: Simplify 0 into 0 1545733224.113 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545733224.113 * [misc]taylor: Taking taylor expansion of 0 in n 1545733224.113 * [misc]backup-simplify: Simplify 0 into 0 1545733224.113 * [misc]backup-simplify: Simplify 0 into 0 1545733224.114 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545733224.114 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) 1545733224.114 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545733224.114 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545733224.114 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733224.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733224.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733224.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733224.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.114 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733224.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.114 * [misc]taylor: Taking taylor expansion of k in k 1545733224.114 * [misc]backup-simplify: Simplify 0 into 0 1545733224.115 * [misc]backup-simplify: Simplify 1 into 1 1545733224.115 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733224.115 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733224.115 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.115 * [misc]backup-simplify: Simplify 2 into 2 1545733224.115 * [misc]taylor: Taking taylor expansion of n in k 1545733224.115 * [misc]backup-simplify: Simplify n into n 1545733224.115 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733224.115 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733224.115 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733224.115 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.115 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.115 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733224.115 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733224.115 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733224.115 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.116 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.116 * [misc]taylor: Taking taylor expansion of k in n 1545733224.116 * [misc]backup-simplify: Simplify k into k 1545733224.116 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733224.116 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.116 * [misc]backup-simplify: Simplify 2 into 2 1545733224.116 * [misc]taylor: Taking taylor expansion of n in n 1545733224.116 * [misc]backup-simplify: Simplify 0 into 0 1545733224.116 * [misc]backup-simplify: Simplify 1 into 1 1545733224.116 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733224.116 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733224.116 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.116 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733224.117 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733224.117 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733224.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.117 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733224.118 * [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)))) 1545733224.118 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.118 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.118 * [misc]taylor: Taking taylor expansion of k in n 1545733224.118 * [misc]backup-simplify: Simplify k into k 1545733224.118 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733224.118 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.118 * [misc]backup-simplify: Simplify 2 into 2 1545733224.118 * [misc]taylor: Taking taylor expansion of n in n 1545733224.118 * [misc]backup-simplify: Simplify 0 into 0 1545733224.118 * [misc]backup-simplify: Simplify 1 into 1 1545733224.118 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733224.118 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733224.119 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.119 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733224.119 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733224.119 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733224.119 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.119 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733224.120 * [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)))) 1545733224.120 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.120 * [misc]backup-simplify: Simplify 2 into 2 1545733224.120 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.120 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of n in k 1545733224.120 * [misc]backup-simplify: Simplify n into n 1545733224.120 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733224.120 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.120 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733224.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.120 * [misc]taylor: Taking taylor expansion of k in k 1545733224.120 * [misc]backup-simplify: Simplify 0 into 0 1545733224.120 * [misc]backup-simplify: Simplify 1 into 1 1545733224.121 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545733224.121 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733224.121 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.121 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.121 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545733224.122 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545733224.122 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545733224.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733224.124 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733224.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545733224.125 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.125 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.125 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.126 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545733224.127 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.127 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.127 * [misc]backup-simplify: Simplify 0 into 0 1545733224.127 * [misc]backup-simplify: Simplify 0 into 0 1545733224.127 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733224.127 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.127 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733224.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545733224.131 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.131 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545733224.132 * [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))))) 1545733224.132 * [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))))) 1545733224.134 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545733224.138 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733224.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545733224.139 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.139 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733224.139 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545733224.142 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733224.142 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.142 * [misc]backup-simplify: Simplify 0 into 0 1545733224.142 * [misc]backup-simplify: Simplify 0 into 0 1545733224.142 * [misc]backup-simplify: Simplify 0 into 0 1545733224.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733224.142 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.147 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733224.148 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545733224.148 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.149 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545733224.151 * [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))))) 1545733224.152 * [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))))) 1545733224.155 * [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))))) 1545733224.155 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.155 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545733224.155 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.155 * [misc]taylor: Taking taylor expansion of k in k 1545733224.155 * [misc]backup-simplify: Simplify 0 into 0 1545733224.155 * [misc]backup-simplify: Simplify 1 into 1 1545733224.156 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.156 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733224.156 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733224.156 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.156 * [misc]backup-simplify: Simplify 2 into 2 1545733224.156 * [misc]taylor: Taking taylor expansion of n in k 1545733224.156 * [misc]backup-simplify: Simplify n into n 1545733224.156 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733224.156 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733224.156 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.156 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.156 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.156 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733224.156 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733224.156 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.156 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733224.156 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733224.156 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.156 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.156 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.156 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.157 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.157 * [misc]taylor: Taking taylor expansion of k in n 1545733224.157 * [misc]backup-simplify: Simplify k into k 1545733224.157 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.157 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733224.157 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733224.157 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.157 * [misc]backup-simplify: Simplify 2 into 2 1545733224.157 * [misc]taylor: Taking taylor expansion of n in n 1545733224.157 * [misc]backup-simplify: Simplify 0 into 0 1545733224.157 * [misc]backup-simplify: Simplify 1 into 1 1545733224.157 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733224.157 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.157 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.157 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.157 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.157 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.158 * [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))) 1545733224.158 * [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)))) 1545733224.158 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of k in n 1545733224.158 * [misc]backup-simplify: Simplify k into k 1545733224.158 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.158 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733224.158 * [misc]taylor: Taking taylor expansion of 2 in n 1545733224.158 * [misc]backup-simplify: Simplify 2 into 2 1545733224.158 * [misc]taylor: Taking taylor expansion of n in n 1545733224.158 * [misc]backup-simplify: Simplify 0 into 0 1545733224.158 * [misc]backup-simplify: Simplify 1 into 1 1545733224.158 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733224.158 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.158 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.158 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733224.159 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733224.159 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.159 * [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))) 1545733224.159 * [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)))) 1545733224.159 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545733224.159 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545733224.159 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733224.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.159 * [misc]taylor: Taking taylor expansion of k in k 1545733224.159 * [misc]backup-simplify: Simplify 0 into 0 1545733224.159 * [misc]backup-simplify: Simplify 1 into 1 1545733224.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.160 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545733224.160 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545733224.160 * [misc]taylor: Taking taylor expansion of 2 in k 1545733224.160 * [misc]backup-simplify: Simplify 2 into 2 1545733224.160 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733224.160 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733224.160 * [misc]taylor: Taking taylor expansion of n in k 1545733224.160 * [misc]backup-simplify: Simplify n into n 1545733224.160 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733224.160 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.160 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733224.160 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733224.160 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733224.160 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545733224.160 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545733224.161 * [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)))) 1545733224.161 * [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)))) 1545733224.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733224.163 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733224.163 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.163 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.164 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733224.164 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.164 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.164 * [misc]backup-simplify: Simplify 0 into 0 1545733224.164 * [misc]backup-simplify: Simplify 0 into 0 1545733224.165 * [misc]backup-simplify: Simplify 0 into 0 1545733224.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.167 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733224.167 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.168 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.168 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.168 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.168 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.168 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545733224.170 * [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 1545733224.170 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.170 * [misc]backup-simplify: Simplify 0 into 0 1545733224.170 * [misc]backup-simplify: Simplify 0 into 0 1545733224.170 * [misc]backup-simplify: Simplify 0 into 0 1545733224.170 * [misc]backup-simplify: Simplify 0 into 0 1545733224.170 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.174 * [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 1545733224.174 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733224.175 * [misc]backup-simplify: Simplify (- 0) into 0 1545733224.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.175 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733224.175 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545733224.177 * [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 1545733224.177 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.177 * [misc]backup-simplify: Simplify 0 into 0 1545733224.177 * [misc]backup-simplify: Simplify 0 into 0 1545733224.178 * [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)))) 1545733224.178 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.178 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545733224.178 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of k in k 1545733224.178 * [misc]backup-simplify: Simplify 0 into 0 1545733224.178 * [misc]backup-simplify: Simplify 1 into 1 1545733224.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.178 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733224.178 * [misc]taylor: Taking taylor expansion of -2 in k 1545733224.178 * [misc]backup-simplify: Simplify -2 into -2 1545733224.178 * [misc]taylor: Taking taylor expansion of n in k 1545733224.178 * [misc]backup-simplify: Simplify n into n 1545733224.178 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733224.178 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733224.178 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.179 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.179 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733224.179 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733224.179 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of k in n 1545733224.179 * [misc]backup-simplify: Simplify k into k 1545733224.179 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.179 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.179 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733224.179 * [misc]taylor: Taking taylor expansion of -2 in n 1545733224.179 * [misc]backup-simplify: Simplify -2 into -2 1545733224.179 * [misc]taylor: Taking taylor expansion of n in n 1545733224.179 * [misc]backup-simplify: Simplify 0 into 0 1545733224.179 * [misc]backup-simplify: Simplify 1 into 1 1545733224.179 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733224.179 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733224.179 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.179 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.180 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.180 * [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))) 1545733224.180 * [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)))) 1545733224.180 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of k in n 1545733224.180 * [misc]backup-simplify: Simplify k into k 1545733224.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733224.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733224.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.180 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733224.180 * [misc]taylor: Taking taylor expansion of -2 in n 1545733224.180 * [misc]backup-simplify: Simplify -2 into -2 1545733224.180 * [misc]taylor: Taking taylor expansion of n in n 1545733224.180 * [misc]backup-simplify: Simplify 0 into 0 1545733224.180 * [misc]backup-simplify: Simplify 1 into 1 1545733224.181 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733224.181 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733224.181 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733224.181 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733224.181 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.181 * [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))) 1545733224.182 * [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)))) 1545733224.182 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of k in k 1545733224.182 * [misc]backup-simplify: Simplify 0 into 0 1545733224.182 * [misc]backup-simplify: Simplify 1 into 1 1545733224.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733224.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733224.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733224.182 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of -2 in k 1545733224.182 * [misc]backup-simplify: Simplify -2 into -2 1545733224.182 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733224.182 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733224.182 * [misc]taylor: Taking taylor expansion of n in k 1545733224.182 * [misc]backup-simplify: Simplify n into n 1545733224.182 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733224.182 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733224.183 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733224.183 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733224.183 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545733224.183 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545733224.183 * [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)))) 1545733224.183 * [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)))) 1545733224.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733224.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733224.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733224.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733224.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.188 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733224.189 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733224.189 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.189 * [misc]backup-simplify: Simplify 0 into 0 1545733224.189 * [misc]backup-simplify: Simplify 0 into 0 1545733224.189 * [misc]backup-simplify: Simplify 0 into 0 1545733224.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.194 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545733224.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.195 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733224.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.196 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545733224.198 * [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 1545733224.198 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.198 * [misc]backup-simplify: Simplify 0 into 0 1545733224.198 * [misc]backup-simplify: Simplify 0 into 0 1545733224.198 * [misc]backup-simplify: Simplify 0 into 0 1545733224.198 * [misc]backup-simplify: Simplify 0 into 0 1545733224.198 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733224.205 * [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 1545733224.205 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733224.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733224.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733224.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733224.207 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545733224.211 * [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 1545733224.211 * [misc]taylor: Taking taylor expansion of 0 in k 1545733224.211 * [misc]backup-simplify: Simplify 0 into 0 1545733224.211 * [misc]backup-simplify: Simplify 0 into 0 1545733224.211 * [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))))) 1545733224.212 * * * [misc]progress: simplifying candidates 1545733224.212 * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # 1545733224.212 * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # 1545733224.212 * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # 1545733224.212 * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # 1545733224.212 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545733224.212 * * [misc]simplify: iters left: 3 (5 enodes) 1545733224.214 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545733224.214 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (/ (pow PI 1/2) (pow PI (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.214 * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # 1545733224.214 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733224.214 * * [misc]simplify: iters left: 5 (6 enodes) 1545733224.216 * * [misc]simplify: iters left: 4 (8 enodes) 1545733224.219 * * [misc]simplify: iters left: 3 (11 enodes) 1545733224.220 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733224.220 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.221 * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # 1545733224.221 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545733224.221 * * [misc]simplify: iters left: 5 (6 enodes) 1545733224.222 * * [misc]simplify: iters left: 4 (8 enodes) 1545733224.223 * * [misc]simplify: iters left: 3 (11 enodes) 1545733224.224 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545733224.224 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.224 * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # 1545733224.225 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733224.225 * * [misc]simplify: iters left: 4 (5 enodes) 1545733224.225 * * [misc]simplify: iters left: 3 (7 enodes) 1545733224.226 * * [misc]simplify: iters left: 2 (10 enodes) 1545733224.228 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733224.228 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (pow (pow PI 1) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.228 * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # 1545733224.228 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545733224.228 * * [misc]simplify: iters left: 5 (6 enodes) 1545733224.229 * * [misc]simplify: iters left: 4 (8 enodes) 1545733224.230 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545733224.230 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.230 * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # 1545733224.230 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545733224.230 * * [misc]simplify: iters left: 5 (6 enodes) 1545733224.231 * * [misc]simplify: iters left: 4 (8 enodes) 1545733224.232 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545733224.232 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733224.232 * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # 1545733224.232 * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # 1545733224.233 * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # 1545733224.233 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545733224.233 * * [misc]simplify: iters left: 6 (16 enodes) 1545733224.236 * * [misc]simplify: iters left: 5 (32 enodes) 1545733224.242 * * [misc]simplify: iters left: 4 (75 enodes) 1545733224.275 * * [misc]simplify: iters left: 3 (223 enodes) 1545733224.420 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545733224.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545733224.421 * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # 1545733224.421 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545733224.421 * * [misc]simplify: iters left: 6 (16 enodes) 1545733224.427 * * [misc]simplify: iters left: 5 (32 enodes) 1545733224.439 * * [misc]simplify: iters left: 4 (75 enodes) 1545733224.475 * * [misc]simplify: iters left: 3 (223 enodes) 1545733224.648 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545733224.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545733224.649 * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # 1545733224.649 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545733224.649 * * [misc]simplify: iters left: 6 (16 enodes) 1545733224.651 * * [misc]simplify: iters left: 5 (28 enodes) 1545733224.656 * * [misc]simplify: iters left: 4 (59 enodes) 1545733224.668 * * [misc]simplify: iters left: 3 (137 enodes) 1545733224.736 * * [misc]simplify: iters left: 2 (450 enodes) 1545733225.137 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1545733225.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1545733225.137 * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # 1545733225.138 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545733225.138 * * [misc]simplify: iters left: 6 (16 enodes) 1545733225.142 * * [misc]simplify: iters left: 5 (30 enodes) 1545733225.151 * * [misc]simplify: iters left: 4 (65 enodes) 1545733225.185 * * [misc]simplify: iters left: 3 (179 enodes) 1545733225.312 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545733225.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545733225.312 * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # 1545733225.313 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545733225.313 * * [misc]simplify: iters left: 6 (16 enodes) 1545733225.319 * * [misc]simplify: iters left: 5 (30 enodes) 1545733225.330 * * [misc]simplify: iters left: 4 (65 enodes) 1545733225.356 * * [misc]simplify: iters left: 3 (179 enodes) 1545733225.456 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545733225.456 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545733225.456 * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # 1545733225.456 * [enter]simplify: Simplifying (- (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545733225.456 * * [misc]simplify: iters left: 6 (16 enodes) 1545733225.459 * * [misc]simplify: iters left: 5 (28 enodes) 1545733225.468 * * [misc]simplify: iters left: 4 (53 enodes) 1545733225.479 * * [misc]simplify: iters left: 3 (105 enodes) 1545733225.525 * * [misc]simplify: iters left: 2 (363 enodes) 1545733225.876 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1545733225.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1545733225.876 * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # 1545733225.876 * [enter]simplify: Simplifying (- (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545733225.876 * * [misc]simplify: iters left: 6 (15 enodes) 1545733225.879 * * [misc]simplify: iters left: 5 (24 enodes) 1545733225.882 * * [misc]simplify: iters left: 4 (37 enodes) 1545733225.888 * * [misc]simplify: iters left: 3 (60 enodes) 1545733225.901 * * [misc]simplify: iters left: 2 (109 enodes) 1545733225.937 * * [misc]simplify: iters left: 1 (384 enodes) 1545733226.402 * [exit]simplify: Simplified to (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1545733226.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1545733226.402 * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # 1545733226.402 * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # 1545733226.402 * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # 1545733226.403 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545733226.403 * * [misc]simplify: iters left: 6 (19 enodes) 1545733226.409 * * [misc]simplify: iters left: 5 (37 enodes) 1545733226.421 * * [misc]simplify: iters left: 4 (124 enodes) 1545733226.473 * * [misc]simplify: iters left: 3 (414 enodes) 1545733226.795 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545733226.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545733226.795 * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # 1545733226.795 * [enter]simplify: Simplifying (/ (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545733226.795 * * [misc]simplify: iters left: 6 (17 enodes) 1545733226.798 * * [misc]simplify: iters left: 5 (36 enodes) 1545733226.806 * * [misc]simplify: iters left: 4 (104 enodes) 1545733226.856 * * [misc]simplify: iters left: 3 (355 enodes) 1545733227.279 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545733227.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* k (sqrt k))) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545733227.280 * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # 1545733227.280 * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # 1545733227.280 * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # 1545733227.280 * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # 1545733227.280 * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # 1545733227.280 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733227.280 * * [misc]simplify: iters left: 6 (11 enodes) 1545733227.282 * * [misc]simplify: iters left: 5 (15 enodes) 1545733227.284 * * [misc]simplify: iters left: 4 (18 enodes) 1545733227.286 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545733227.286 * [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))))) 1545733227.286 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733227.286 * * [misc]simplify: iters left: 6 (11 enodes) 1545733227.288 * * [misc]simplify: iters left: 5 (14 enodes) 1545733227.290 * * [misc]simplify: iters left: 4 (17 enodes) 1545733227.292 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545733227.292 * [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))))) 1545733227.292 * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # 1545733227.292 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733227.292 * * [misc]simplify: iters left: 6 (10 enodes) 1545733227.294 * * [misc]simplify: iters left: 5 (12 enodes) 1545733227.295 * * [misc]simplify: iters left: 4 (15 enodes) 1545733227.299 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733227.299 * [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))))) 1545733227.300 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733227.300 * * [misc]simplify: iters left: 6 (11 enodes) 1545733227.301 * * [misc]simplify: iters left: 5 (14 enodes) 1545733227.303 * * [misc]simplify: iters left: 4 (17 enodes) 1545733227.307 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545733227.307 * [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))))) 1545733227.308 * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # 1545733227.308 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545733227.308 * * [misc]simplify: iters left: 6 (9 enodes) 1545733227.311 * * [misc]simplify: iters left: 5 (13 enodes) 1545733227.315 * * [misc]simplify: iters left: 4 (18 enodes) 1545733227.319 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545733227.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545733227.319 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545733227.319 * * [misc]simplify: iters left: 6 (10 enodes) 1545733227.322 * * [misc]simplify: iters left: 5 (13 enodes) 1545733227.326 * * [misc]simplify: iters left: 4 (16 enodes) 1545733227.330 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545733227.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545733227.331 * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # 1545733227.331 * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # 1545733227.331 * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # 1545733227.331 * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # 1545733227.331 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545733227.331 * * [misc]simplify: iters left: 2 (3 enodes) 1545733227.332 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545733227.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545733227.332 * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # 1545733227.332 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545733227.332 * * [misc]simplify: iters left: 2 (3 enodes) 1545733227.333 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545733227.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545733227.334 * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # 1545733227.334 * [enter]simplify: Simplifying (sqrt k) 1545733227.334 * * [misc]simplify: iters left: 1 (2 enodes) 1545733227.335 * [exit]simplify: Simplified to (sqrt k) 1545733227.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) 1545733227.335 * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # 1545733227.335 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545733227.335 * * [misc]simplify: iters left: 5 (7 enodes) 1545733227.337 * * [misc]simplify: iters left: 4 (9 enodes) 1545733227.340 * * [misc]simplify: iters left: 3 (12 enodes) 1545733227.343 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545733227.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733227.343 * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # 1545733227.343 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545733227.343 * * [misc]simplify: iters left: 5 (8 enodes) 1545733227.346 * * [misc]simplify: iters left: 4 (12 enodes) 1545733227.349 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545733227.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (sqrt k) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))))) 1545733227.349 * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # 1545733227.349 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) 1545733227.349 * * [misc]simplify: iters left: 6 (11 enodes) 1545733227.353 * * [misc]simplify: iters left: 5 (16 enodes) 1545733227.357 * * [misc]simplify: iters left: 4 (19 enodes) 1545733227.363 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1545733227.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) (pow (* n 2) (/ k 2))))) 1545733227.363 * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # 1545733227.363 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733227.363 * * [misc]simplify: iters left: 6 (11 enodes) 1545733227.365 * * [misc]simplify: iters left: 5 (16 enodes) 1545733227.367 * * [misc]simplify: iters left: 4 (19 enodes) 1545733227.369 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733227.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2))))) 1545733227.370 * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # 1545733227.370 * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # 1545733227.370 * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # 1545733227.370 * [enter]simplify: Simplifying (* PI (* n 2)) 1545733227.370 * * [misc]simplify: iters left: 4 (5 enodes) 1545733227.371 * * [misc]simplify: iters left: 3 (9 enodes) 1545733227.372 * * [misc]simplify: iters left: 2 (15 enodes) 1545733227.374 * * [misc]simplify: iters left: 1 (17 enodes) 1545733227.376 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545733227.376 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1545733227.376 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733227.376 * * [misc]simplify: iters left: 4 (5 enodes) 1545733227.377 * * [misc]simplify: iters left: 3 (7 enodes) 1545733227.378 * * [misc]simplify: iters left: 2 (10 enodes) 1545733227.379 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733227.379 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1545733227.379 * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # 1545733227.379 * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # 1545733227.380 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733227.380 * * [misc]simplify: iters left: 6 (13 enodes) 1545733227.382 * * [misc]simplify: iters left: 5 (25 enodes) 1545733227.387 * * [misc]simplify: iters left: 4 (55 enodes) 1545733227.401 * * [misc]simplify: iters left: 3 (149 enodes) 1545733227.463 * * [misc]simplify: iters left: 2 (484 enodes) 1545733227.765 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733227.766 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545733227.766 * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # 1545733227.766 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733227.766 * * [misc]simplify: iters left: 6 (13 enodes) 1545733227.771 * * [misc]simplify: iters left: 5 (25 enodes) 1545733227.780 * * [misc]simplify: iters left: 4 (55 enodes) 1545733227.795 * * [misc]simplify: iters left: 3 (149 enodes) 1545733227.867 * * [misc]simplify: iters left: 2 (484 enodes) 1545733228.189 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733228.189 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545733228.190 * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # 1545733228.190 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545733228.190 * * [misc]simplify: iters left: 6 (13 enodes) 1545733228.192 * * [misc]simplify: iters left: 5 (21 enodes) 1545733228.195 * * [misc]simplify: iters left: 4 (41 enodes) 1545733228.210 * * [misc]simplify: iters left: 3 (87 enodes) 1545733228.235 * * [misc]simplify: iters left: 2 (257 enodes) 1545733228.445 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733228.445 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545733228.445 * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # 1545733228.446 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733228.446 * * [misc]simplify: iters left: 6 (13 enodes) 1545733228.450 * * [misc]simplify: iters left: 5 (23 enodes) 1545733228.457 * * [misc]simplify: iters left: 4 (47 enodes) 1545733228.477 * * [misc]simplify: iters left: 3 (121 enodes) 1545733228.548 * * [misc]simplify: iters left: 2 (416 enodes) 1545733228.811 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545733228.811 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1545733228.811 * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # 1545733228.811 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733228.811 * * [misc]simplify: iters left: 6 (13 enodes) 1545733228.814 * * [misc]simplify: iters left: 5 (23 enodes) 1545733228.818 * * [misc]simplify: iters left: 4 (47 enodes) 1545733228.829 * * [misc]simplify: iters left: 3 (121 enodes) 1545733228.915 * * [misc]simplify: iters left: 2 (416 enodes) 1545733229.202 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545733229.202 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) (sqrt k))) 1545733229.202 * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # 1545733229.203 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545733229.203 * * [misc]simplify: iters left: 6 (13 enodes) 1545733229.205 * * [misc]simplify: iters left: 5 (21 enodes) 1545733229.208 * * [misc]simplify: iters left: 4 (36 enodes) 1545733229.214 * * [misc]simplify: iters left: 3 (71 enodes) 1545733229.232 * * [misc]simplify: iters left: 2 (195 enodes) 1545733229.318 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1545733229.318 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k))) 1545733229.318 * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # 1545733229.318 * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # 1545733229.318 * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # 1545733229.318 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545733229.318 * * [misc]simplify: iters left: 6 (15 enodes) 1545733229.321 * * [misc]simplify: iters left: 5 (25 enodes) 1545733229.325 * * [misc]simplify: iters left: 4 (53 enodes) 1545733229.333 * * [misc]simplify: iters left: 3 (88 enodes) 1545733229.362 * * [misc]simplify: iters left: 2 (122 enodes) 1545733229.395 * * [misc]simplify: iters left: 1 (129 enodes) 1545733229.426 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1545733229.426 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3)) (sqrt k))) 1545733229.426 * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # 1545733229.427 * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # 1545733229.427 * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # 1545733229.427 * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # 1545733229.427 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545733229.427 * * [misc]simplify: iters left: 5 (8 enodes) 1545733229.429 * * [misc]simplify: iters left: 4 (12 enodes) 1545733229.432 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545733229.433 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545733229.433 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545733229.433 * * [misc]simplify: iters left: 5 (9 enodes) 1545733229.436 * * [misc]simplify: iters left: 4 (11 enodes) 1545733229.439 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545733229.439 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2)))) (sqrt k))) 1545733229.439 * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # 1545733229.439 * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # 1545733229.439 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733229.439 * * [misc]simplify: iters left: 5 (7 enodes) 1545733229.441 * * [misc]simplify: iters left: 4 (10 enodes) 1545733229.444 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733229.444 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545733229.444 * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # 1545733229.445 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733229.445 * * [misc]simplify: iters left: 5 (7 enodes) 1545733229.447 * * [misc]simplify: iters left: 4 (10 enodes) 1545733229.448 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733229.448 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545733229.448 * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # 1545733229.449 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545733229.449 * * [misc]simplify: iters left: 5 (6 enodes) 1545733229.450 * * [misc]simplify: iters left: 4 (8 enodes) 1545733229.451 * * [misc]simplify: iters left: 3 (11 enodes) 1545733229.452 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545733229.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) 1545733229.452 * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # 1545733229.452 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.452 * * [misc]simplify: iters left: 6 (9 enodes) 1545733229.454 * * [misc]simplify: iters left: 5 (12 enodes) 1545733229.455 * * [misc]simplify: iters left: 4 (15 enodes) 1545733229.457 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.457 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.457 * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # 1545733229.457 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.457 * * [misc]simplify: iters left: 6 (9 enodes) 1545733229.459 * * [misc]simplify: iters left: 5 (12 enodes) 1545733229.461 * * [misc]simplify: iters left: 4 (15 enodes) 1545733229.463 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.463 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.463 * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # 1545733229.463 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545733229.463 * * [misc]simplify: iters left: 5 (8 enodes) 1545733229.464 * * [misc]simplify: iters left: 4 (11 enodes) 1545733229.466 * * [misc]simplify: iters left: 3 (14 enodes) 1545733229.468 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545733229.468 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (pow PI (- 1/2 (/ k 2))) 1) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733229.468 * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # 1545733229.468 * [enter]simplify: Simplifying (pow PI 1/2) 1545733229.468 * * [misc]simplify: iters left: 1 (3 enodes) 1545733229.469 * [exit]simplify: Simplified to (sqrt PI) 1545733229.469 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.469 * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # 1545733229.469 * [enter]simplify: Simplifying (pow PI 1/2) 1545733229.469 * * [misc]simplify: iters left: 1 (3 enodes) 1545733229.469 * [exit]simplify: Simplified to (sqrt PI) 1545733229.469 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.469 * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # 1545733229.470 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545733229.470 * * [misc]simplify: iters left: 6 (9 enodes) 1545733229.471 * * [misc]simplify: iters left: 5 (11 enodes) 1545733229.472 * * [misc]simplify: iters left: 4 (14 enodes) 1545733229.474 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545733229.474 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.474 * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # 1545733229.474 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545733229.474 * * [misc]simplify: iters left: 6 (8 enodes) 1545733229.476 * * [misc]simplify: iters left: 5 (10 enodes) 1545733229.477 * * [misc]simplify: iters left: 4 (13 enodes) 1545733229.479 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545733229.479 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.479 * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # 1545733229.479 * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # 1545733229.479 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545733229.479 * * [misc]simplify: iters left: 3 (6 enodes) 1545733229.480 * * [misc]simplify: iters left: 2 (7 enodes) 1545733229.482 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545733229.482 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))) 1545733229.483 * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # 1545733229.483 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.483 * * [misc]simplify: iters left: 6 (11 enodes) 1545733229.485 * * [misc]simplify: iters left: 5 (16 enodes) 1545733229.487 * * [misc]simplify: iters left: 4 (19 enodes) 1545733229.489 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733229.489 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))) (sqrt k))) 1545733229.489 * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # 1545733229.489 * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # 1545733229.489 * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # 1545733229.489 * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # 1545733229.489 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545733229.490 * * [misc]simplify: iters left: 6 (9 enodes) 1545733229.491 * * [misc]simplify: iters left: 5 (16 enodes) 1545733229.494 * * [misc]simplify: iters left: 4 (32 enodes) 1545733229.500 * * [misc]simplify: iters left: 3 (72 enodes) 1545733229.530 * * [misc]simplify: iters left: 2 (195 enodes) 1545733229.593 * * [misc]simplify: iters left: 1 (418 enodes) 1545733229.767 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545733229.767 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.767 * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # 1545733229.767 * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # 1545733229.768 * [enter]simplify: Simplifying (* n 2) 1545733229.768 * * [misc]simplify: iters left: 2 (3 enodes) 1545733229.773 * * [misc]simplify: iters left: 1 (4 enodes) 1545733229.775 * [exit]simplify: Simplified to (* n 2) 1545733229.775 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.775 * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # 1545733229.775 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545733229.775 * * [misc]simplify: iters left: 3 (6 enodes) 1545733229.777 * * [misc]simplify: iters left: 2 (7 enodes) 1545733229.779 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545733229.779 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545733229.779 * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # 1545733229.780 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733229.780 * * [misc]simplify: iters left: 5 (6 enodes) 1545733229.782 * * [misc]simplify: iters left: 4 (8 enodes) 1545733229.784 * * [misc]simplify: iters left: 3 (11 enodes) 1545733229.787 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733229.787 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.787 * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # 1545733229.787 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545733229.787 * * [misc]simplify: iters left: 5 (6 enodes) 1545733229.789 * * [misc]simplify: iters left: 4 (8 enodes) 1545733229.791 * * [misc]simplify: iters left: 3 (11 enodes) 1545733229.794 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545733229.794 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.794 * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # 1545733229.795 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733229.795 * * [misc]simplify: iters left: 4 (5 enodes) 1545733229.796 * * [misc]simplify: iters left: 3 (7 enodes) 1545733229.798 * * [misc]simplify: iters left: 2 (10 enodes) 1545733229.801 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733229.801 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))) (sqrt k))) 1545733229.801 * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # 1545733229.801 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733229.802 * * [misc]simplify: iters left: 5 (7 enodes) 1545733229.804 * * [misc]simplify: iters left: 4 (10 enodes) 1545733229.806 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733229.806 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545733229.807 * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # 1545733229.807 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733229.807 * * [misc]simplify: iters left: 5 (7 enodes) 1545733229.809 * * [misc]simplify: iters left: 4 (10 enodes) 1545733229.812 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733229.812 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545733229.812 * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # 1545733229.812 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545733229.812 * * [misc]simplify: iters left: 5 (7 enodes) 1545733229.815 * * [misc]simplify: iters left: 4 (9 enodes) 1545733229.817 * * [misc]simplify: iters left: 3 (12 enodes) 1545733229.821 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545733229.821 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k))) 1545733229.821 * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # 1545733229.821 * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # 1545733229.822 * [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)))) 1545733229.822 * * [misc]simplify: iters left: 6 (18 enodes) 1545733229.828 * * [misc]simplify: iters left: 5 (39 enodes) 1545733229.844 * * [misc]simplify: iters left: 4 (110 enodes) 1545733229.875 * * [misc]simplify: iters left: 3 (321 enodes) 1545733230.112 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1545733230.112 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733230.112 * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # 1545733230.113 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545733230.113 * * [misc]simplify: iters left: 5 (6 enodes) 1545733230.115 * * [misc]simplify: iters left: 4 (9 enodes) 1545733230.118 * * [misc]simplify: iters left: 3 (17 enodes) 1545733230.123 * * [misc]simplify: iters left: 2 (24 enodes) 1545733230.128 * * [misc]simplify: iters left: 1 (28 enodes) 1545733230.134 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545733230.134 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733230.134 * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # 1545733230.134 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545733230.134 * * [misc]simplify: iters left: 5 (6 enodes) 1545733230.135 * * [misc]simplify: iters left: 4 (9 enodes) 1545733230.137 * * [misc]simplify: iters left: 3 (17 enodes) 1545733230.139 * * [misc]simplify: iters left: 2 (24 enodes) 1545733230.142 * * [misc]simplify: iters left: 1 (28 enodes) 1545733230.149 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545733230.149 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545733230.149 * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # 1545733230.150 * [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))))))))))))))) 1545733230.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733230.150 * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # 1545733230.150 * [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)))))))) 1545733230.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733230.150 * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # 1545733230.150 * [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)))))))) 1545733230.150 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545733230.150 * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # 1545733230.151 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545733230.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545733230.151 * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # 1545733230.151 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545733230.151 * * [misc]simplify: iters left: 6 (16 enodes) 1545733230.158 * * [misc]simplify: iters left: 5 (31 enodes) 1545733230.168 * * [misc]simplify: iters left: 4 (57 enodes) 1545733230.189 * * [misc]simplify: iters left: 3 (128 enodes) 1545733230.231 * * [misc]simplify: iters left: 2 (406 enodes) 1545733230.796 * [exit]simplify: Simplified to (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1545733230.796 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1545733230.796 * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # 1545733230.796 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545733230.797 * * [misc]simplify: iters left: 6 (16 enodes) 1545733230.802 * * [misc]simplify: iters left: 5 (28 enodes) 1545733230.812 * * [misc]simplify: iters left: 4 (58 enodes) 1545733230.831 * * [misc]simplify: iters left: 3 (155 enodes) 1545733230.907 * [exit]simplify: Simplified to (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) 1545733230.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) (sqrt k))) 1545733230.907 * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # 1545733230.908 * [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))))) 1545733230.908 * * [misc]simplify: iters left: 6 (35 enodes) 1545733230.915 * * [misc]simplify: iters left: 5 (102 enodes) 1545733230.936 * * [misc]simplify: iters left: 4 (321 enodes) 1545733231.115 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545733231.115 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))) (sqrt k))) 1545733231.115 * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # 1545733231.115 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545733231.115 * * [misc]simplify: iters left: 6 (13 enodes) 1545733231.118 * * [misc]simplify: iters left: 5 (27 enodes) 1545733231.122 * * [misc]simplify: iters left: 4 (53 enodes) 1545733231.139 * * [misc]simplify: iters left: 3 (124 enodes) 1545733231.187 * * [misc]simplify: iters left: 2 (394 enodes) 1545733231.840 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545733231.840 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (fma -1/2 k 1/2))) (sqrt k))) 1545733231.840 * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # 1545733231.840 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545733231.841 * * [misc]simplify: iters left: 6 (13 enodes) 1545733231.846 * * [misc]simplify: iters left: 5 (24 enodes) 1545733231.855 * * [misc]simplify: iters left: 4 (54 enodes) 1545733231.877 * * [misc]simplify: iters left: 3 (151 enodes) 1545733232.358 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545733232.358 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))) (sqrt k))) 1545733232.358 * * * [misc]progress: adding candidates to table 1545733233.946 * * [misc]progress: iteration 3 / 4 1545733233.946 * * * [misc]progress: picking best candidate 1545733234.006 * * * * [misc]pick: Picked # 1545733234.006 * * * [misc]progress: localizing error 1545733234.012 * * * [misc]progress: generating rewritten candidates 1545733234.012 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) 1545733234.013 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1545733234.021 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1545733234.028 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 2) 1545733234.030 * * * [misc]progress: generating series expansions 1545733234.030 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) 1545733234.030 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545733234.030 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545733234.030 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.030 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.030 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.030 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.030 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.031 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.031 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.031 * [misc]taylor: Taking taylor expansion of k in k 1545733234.031 * [misc]backup-simplify: Simplify 0 into 0 1545733234.031 * [misc]backup-simplify: Simplify 1 into 1 1545733234.031 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.031 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.031 * [misc]backup-simplify: Simplify PI into PI 1545733234.031 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.031 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.031 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.032 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.032 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.032 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.032 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.032 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.032 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.032 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.032 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.033 * [misc]taylor: Taking taylor expansion of k in k 1545733234.033 * [misc]backup-simplify: Simplify 0 into 0 1545733234.033 * [misc]backup-simplify: Simplify 1 into 1 1545733234.033 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.033 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.033 * [misc]backup-simplify: Simplify PI into PI 1545733234.033 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.033 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.033 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.033 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.033 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.034 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.034 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545733234.035 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.036 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.036 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.036 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733234.038 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733234.039 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733234.041 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733234.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.042 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733234.045 * [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))) 1545733234.046 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545733234.047 * [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)))) 1545733234.048 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.048 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545733234.048 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of k in k 1545733234.048 * [misc]backup-simplify: Simplify 0 into 0 1545733234.048 * [misc]backup-simplify: Simplify 1 into 1 1545733234.048 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.048 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.048 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.048 * [misc]backup-simplify: Simplify PI into PI 1545733234.048 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.048 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.049 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.049 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.049 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.049 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.049 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.049 * [misc]taylor: Taking taylor expansion of k in k 1545733234.049 * [misc]backup-simplify: Simplify 0 into 0 1545733234.049 * [misc]backup-simplify: Simplify 1 into 1 1545733234.049 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.050 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.050 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.050 * [misc]backup-simplify: Simplify PI into PI 1545733234.050 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.050 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.050 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.050 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.050 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.051 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.051 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545733234.051 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.051 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545733234.051 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of k in k 1545733234.051 * [misc]backup-simplify: Simplify 0 into 0 1545733234.051 * [misc]backup-simplify: Simplify 1 into 1 1545733234.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.051 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.051 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.051 * [misc]backup-simplify: Simplify PI into PI 1545733234.052 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.052 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.052 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.052 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.052 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.052 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.052 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.052 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.052 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.052 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.053 * [misc]taylor: Taking taylor expansion of k in k 1545733234.053 * [misc]backup-simplify: Simplify 0 into 0 1545733234.053 * [misc]backup-simplify: Simplify 1 into 1 1545733234.053 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.053 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.053 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.053 * [misc]backup-simplify: Simplify PI into PI 1545733234.053 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.053 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.053 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.053 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.054 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.054 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify 0 into 0 1545733234.054 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545733234.054 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1545733234.054 * [misc]backup-simplify: Simplify (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1545733234.054 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1545733234.054 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.055 * [misc]taylor: Taking taylor expansion of k in n 1545733234.055 * [misc]backup-simplify: Simplify k into k 1545733234.055 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.055 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.055 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.055 * [misc]backup-simplify: Simplify 2 into 2 1545733234.055 * [misc]taylor: Taking taylor expansion of n in n 1545733234.055 * [misc]backup-simplify: Simplify 0 into 0 1545733234.055 * [misc]backup-simplify: Simplify 1 into 1 1545733234.055 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.055 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.055 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.055 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.055 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.055 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.056 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733234.056 * [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)))) 1545733234.056 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.056 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.056 * [misc]taylor: Taking taylor expansion of k in n 1545733234.056 * [misc]backup-simplify: Simplify k into k 1545733234.056 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.056 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.057 * [misc]backup-simplify: Simplify PI into PI 1545733234.057 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.057 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.057 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.057 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.057 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545733234.058 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545733234.058 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545733234.059 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1545733234.059 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545733234.059 * [misc]taylor: Taking taylor expansion of k in n 1545733234.059 * [misc]backup-simplify: Simplify k into k 1545733234.059 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545733234.059 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545733234.059 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.059 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.059 * [misc]taylor: Taking taylor expansion of k in k 1545733234.059 * [misc]backup-simplify: Simplify 0 into 0 1545733234.059 * [misc]backup-simplify: Simplify 1 into 1 1545733234.059 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733234.059 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733234.060 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.060 * [misc]backup-simplify: Simplify 2 into 2 1545733234.060 * [misc]taylor: Taking taylor expansion of n in k 1545733234.060 * [misc]backup-simplify: Simplify n into n 1545733234.060 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733234.060 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733234.060 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.060 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.060 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733234.060 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733234.060 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.061 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.061 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.061 * [misc]taylor: Taking taylor expansion of k in k 1545733234.061 * [misc]backup-simplify: Simplify 0 into 0 1545733234.061 * [misc]backup-simplify: Simplify 1 into 1 1545733234.061 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.061 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.061 * [misc]backup-simplify: Simplify PI into PI 1545733234.061 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.061 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.061 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.062 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.063 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545733234.063 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545733234.063 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733234.063 * [misc]taylor: Taking taylor expansion of k in k 1545733234.063 * [misc]backup-simplify: Simplify 0 into 0 1545733234.063 * [misc]backup-simplify: Simplify 1 into 1 1545733234.063 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.064 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733234.064 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.064 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.064 * [misc]taylor: Taking taylor expansion of k in k 1545733234.064 * [misc]backup-simplify: Simplify 0 into 0 1545733234.064 * [misc]backup-simplify: Simplify 1 into 1 1545733234.064 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733234.064 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.064 * [misc]backup-simplify: Simplify 2 into 2 1545733234.065 * [misc]taylor: Taking taylor expansion of n in k 1545733234.065 * [misc]backup-simplify: Simplify n into n 1545733234.065 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733234.065 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733234.065 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.065 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.065 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.065 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733234.065 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733234.065 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.065 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.065 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.065 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.065 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.066 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.066 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.066 * [misc]taylor: Taking taylor expansion of k in k 1545733234.066 * [misc]backup-simplify: Simplify 0 into 0 1545733234.066 * [misc]backup-simplify: Simplify 1 into 1 1545733234.066 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.066 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.066 * [misc]backup-simplify: Simplify PI into PI 1545733234.066 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.066 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.066 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.067 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.067 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.068 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.068 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545733234.068 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1545733234.068 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545733234.068 * [misc]taylor: Taking taylor expansion of k in k 1545733234.068 * [misc]backup-simplify: Simplify 0 into 0 1545733234.068 * [misc]backup-simplify: Simplify 1 into 1 1545733234.069 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.069 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733234.069 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1545733234.070 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.070 * [misc]backup-simplify: Simplify 0 into 0 1545733234.070 * [misc]backup-simplify: Simplify 0 into 0 1545733234.072 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.072 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.072 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.073 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.073 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733234.077 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733234.077 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545733234.078 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545733234.078 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.078 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.078 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.079 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545733234.079 * [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)))) 1545733234.081 * [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)))))) 1545733234.084 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1545733234.086 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545733234.086 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1545733234.086 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545733234.086 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.086 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.086 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545733234.086 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545733234.086 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.086 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.086 * [misc]backup-simplify: Simplify 2 into 2 1545733234.086 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.087 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.087 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545733234.087 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545733234.087 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545733234.087 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733234.087 * [misc]taylor: Taking taylor expansion of n in n 1545733234.087 * [misc]backup-simplify: Simplify 0 into 0 1545733234.087 * [misc]backup-simplify: Simplify 1 into 1 1545733234.087 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.087 * [misc]backup-simplify: Simplify PI into PI 1545733234.087 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733234.088 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733234.088 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545733234.089 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.089 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545733234.090 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545733234.091 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.092 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545733234.094 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.096 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.097 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.097 * [misc]backup-simplify: Simplify 0 into 0 1545733234.098 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733234.103 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733234.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.104 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.104 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733234.109 * [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))) 1545733234.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545733234.111 * [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 1545733234.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.112 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.112 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545733234.113 * [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))) 1545733234.117 * [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))))))) 1545733234.124 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 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))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1545733234.130 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1545733234.131 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.131 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.131 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.131 * [misc]backup-simplify: Simplify PI into PI 1545733234.131 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.131 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.131 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.131 * [misc]backup-simplify: Simplify 2 into 2 1545733234.132 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.132 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.132 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1545733234.133 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545733234.133 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545733234.133 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.133 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.133 * [misc]backup-simplify: Simplify PI into PI 1545733234.133 * [misc]taylor: Taking taylor expansion of n in n 1545733234.133 * [misc]backup-simplify: Simplify 0 into 0 1545733234.133 * [misc]backup-simplify: Simplify 1 into 1 1545733234.133 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.134 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.134 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545733234.134 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.135 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545733234.135 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.135 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.135 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.135 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.135 * [misc]backup-simplify: Simplify 2 into 2 1545733234.135 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.135 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.136 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1545733234.136 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545733234.136 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545733234.136 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545733234.136 * [misc]taylor: Taking taylor expansion of n in n 1545733234.136 * [misc]backup-simplify: Simplify 0 into 0 1545733234.136 * [misc]backup-simplify: Simplify 1 into 1 1545733234.136 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.136 * [misc]backup-simplify: Simplify PI into PI 1545733234.136 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545733234.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545733234.137 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545733234.137 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.138 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545733234.138 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.138 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.138 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.138 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.138 * [misc]backup-simplify: Simplify 2 into 2 1545733234.138 * [misc]taylor: Taking taylor expansion of n in n 1545733234.138 * [misc]backup-simplify: Simplify 0 into 0 1545733234.138 * [misc]backup-simplify: Simplify 1 into 1 1545733234.138 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.139 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.139 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.139 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.139 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.139 * [misc]backup-simplify: Simplify 2 into 2 1545733234.139 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.139 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.140 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.140 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.140 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1545733234.140 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1545733234.140 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1545733234.140 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.141 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.141 * [misc]backup-simplify: Simplify PI into PI 1545733234.141 * [misc]taylor: Taking taylor expansion of n in n 1545733234.141 * [misc]backup-simplify: Simplify 0 into 0 1545733234.141 * [misc]backup-simplify: Simplify 1 into 1 1545733234.141 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.141 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.142 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545733234.142 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.143 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545733234.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.147 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545733234.149 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545733234.150 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1545733234.155 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1545733234.155 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545733234.156 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.157 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1545733234.159 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1545733234.159 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.161 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.162 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1545733234.163 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545733234.163 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545733234.165 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545733234.167 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1545733234.170 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545733234.172 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1545733234.175 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545733234.178 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545733234.180 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1545733234.181 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545733234.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545733234.183 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545733234.184 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545733234.184 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1545733234.185 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545733234.188 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545733234.189 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545733234.190 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1545733234.195 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545733234.195 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1545733234.195 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1545733234.195 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545733234.195 * [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 1545733234.195 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.196 * [misc]taylor: Taking taylor expansion of k in n 1545733234.196 * [misc]backup-simplify: Simplify k into k 1545733234.196 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.196 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.196 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.196 * [misc]backup-simplify: Simplify PI into PI 1545733234.196 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.196 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.196 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.196 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.196 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.197 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.197 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of k in n 1545733234.197 * [misc]backup-simplify: Simplify k into k 1545733234.197 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.197 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.197 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.197 * [misc]backup-simplify: Simplify 2 into 2 1545733234.197 * [misc]taylor: Taking taylor expansion of n in n 1545733234.197 * [misc]backup-simplify: Simplify 0 into 0 1545733234.197 * [misc]backup-simplify: Simplify 1 into 1 1545733234.197 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.197 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.197 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.197 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.197 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.197 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.198 * [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))) 1545733234.198 * [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)))) 1545733234.198 * [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))))) 1545733234.198 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545733234.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545733234.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.198 * [misc]taylor: Taking taylor expansion of k in n 1545733234.198 * [misc]backup-simplify: Simplify k into k 1545733234.199 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.199 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545733234.199 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.199 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545733234.199 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733234.199 * [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 1545733234.199 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.199 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.199 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.199 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of k in k 1545733234.199 * [misc]backup-simplify: Simplify 0 into 0 1545733234.199 * [misc]backup-simplify: Simplify 1 into 1 1545733234.199 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.199 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.199 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.199 * [misc]backup-simplify: Simplify PI into PI 1545733234.199 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.199 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.200 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.200 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.200 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.200 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.200 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.200 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.200 * [misc]taylor: Taking taylor expansion of k in k 1545733234.200 * [misc]backup-simplify: Simplify 0 into 0 1545733234.200 * [misc]backup-simplify: Simplify 1 into 1 1545733234.200 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.201 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733234.201 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733234.201 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.201 * [misc]backup-simplify: Simplify 2 into 2 1545733234.201 * [misc]taylor: Taking taylor expansion of n in k 1545733234.201 * [misc]backup-simplify: Simplify n into n 1545733234.201 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733234.201 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733234.201 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.201 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.201 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.201 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733234.201 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.201 * [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))))) 1545733234.201 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545733234.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733234.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.201 * [misc]taylor: Taking taylor expansion of k in k 1545733234.202 * [misc]backup-simplify: Simplify 0 into 0 1545733234.202 * [misc]backup-simplify: Simplify 1 into 1 1545733234.202 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.202 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733234.202 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733234.202 * [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 1545733234.202 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.202 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of k in k 1545733234.202 * [misc]backup-simplify: Simplify 0 into 0 1545733234.202 * [misc]backup-simplify: Simplify 1 into 1 1545733234.202 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.202 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.202 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.202 * [misc]backup-simplify: Simplify PI into PI 1545733234.203 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.203 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.203 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.203 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.203 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.203 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.203 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733234.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.204 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of k in k 1545733234.204 * [misc]backup-simplify: Simplify 0 into 0 1545733234.204 * [misc]backup-simplify: Simplify 1 into 1 1545733234.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.204 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733234.204 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.204 * [misc]backup-simplify: Simplify 2 into 2 1545733234.204 * [misc]taylor: Taking taylor expansion of n in k 1545733234.204 * [misc]backup-simplify: Simplify n into n 1545733234.204 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733234.204 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733234.204 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.204 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.204 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.204 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733234.204 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.205 * [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))))) 1545733234.205 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1545733234.205 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545733234.205 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.205 * [misc]taylor: Taking taylor expansion of k in k 1545733234.205 * [misc]backup-simplify: Simplify 0 into 0 1545733234.205 * [misc]backup-simplify: Simplify 1 into 1 1545733234.205 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.205 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.205 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545733234.205 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1545733234.206 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.206 * [misc]backup-simplify: Simplify 0 into 0 1545733234.206 * [misc]backup-simplify: Simplify 0 into 0 1545733234.206 * [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 1545733234.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545733234.206 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545733234.206 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545733234.206 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545733234.206 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.206 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.206 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545733234.206 * [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 1545733234.206 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of k in n 1545733234.207 * [misc]backup-simplify: Simplify k into k 1545733234.207 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.207 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.207 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.207 * [misc]backup-simplify: Simplify PI into PI 1545733234.207 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.207 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.207 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.207 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.207 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.208 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.208 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.208 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of k in n 1545733234.208 * [misc]backup-simplify: Simplify k into k 1545733234.208 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.208 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.208 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.208 * [misc]backup-simplify: Simplify 2 into 2 1545733234.208 * [misc]taylor: Taking taylor expansion of n in n 1545733234.208 * [misc]backup-simplify: Simplify 0 into 0 1545733234.208 * [misc]backup-simplify: Simplify 1 into 1 1545733234.208 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.208 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.208 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.208 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.208 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.209 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.209 * [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))) 1545733234.209 * [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)))) 1545733234.209 * [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))))) 1545733234.209 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545733234.210 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545733234.210 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.210 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.210 * [misc]backup-simplify: Simplify 0 into 0 1545733234.211 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733234.212 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733234.212 * [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 1545733234.212 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545733234.213 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545733234.213 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.213 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.213 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545733234.213 * [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 1545733234.213 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.213 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.213 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of k in n 1545733234.213 * [misc]backup-simplify: Simplify k into k 1545733234.213 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.213 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.213 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.213 * [misc]backup-simplify: Simplify PI into PI 1545733234.213 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.213 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.213 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.213 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.214 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.214 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.214 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.214 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of k in n 1545733234.214 * [misc]backup-simplify: Simplify k into k 1545733234.214 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.214 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.214 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.214 * [misc]backup-simplify: Simplify 2 into 2 1545733234.214 * [misc]taylor: Taking taylor expansion of n in n 1545733234.214 * [misc]backup-simplify: Simplify 0 into 0 1545733234.214 * [misc]backup-simplify: Simplify 1 into 1 1545733234.214 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.214 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.214 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.214 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.215 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.215 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.215 * [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))) 1545733234.215 * [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)))) 1545733234.215 * [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))))) 1545733234.216 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545733234.216 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545733234.216 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.217 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733234.218 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.218 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.218 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.219 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.219 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.219 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.219 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733234.220 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.221 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.221 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.222 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.222 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.222 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545733234.223 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.223 * [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 1545733234.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1545733234.224 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1545733234.224 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.224 * [misc]backup-simplify: Simplify 0 into 0 1545733234.224 * [misc]backup-simplify: Simplify 0 into 0 1545733234.224 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.225 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733234.226 * [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 1545733234.226 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545733234.227 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545733234.227 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.227 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.227 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545733234.227 * [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 1545733234.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of k in n 1545733234.227 * [misc]backup-simplify: Simplify k into k 1545733234.227 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.227 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.227 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.227 * [misc]backup-simplify: Simplify PI into PI 1545733234.227 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.227 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.227 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.227 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.228 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.228 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.228 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of k in n 1545733234.228 * [misc]backup-simplify: Simplify k into k 1545733234.228 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.228 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.228 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.228 * [misc]backup-simplify: Simplify 2 into 2 1545733234.228 * [misc]taylor: Taking taylor expansion of n in n 1545733234.228 * [misc]backup-simplify: Simplify 0 into 0 1545733234.228 * [misc]backup-simplify: Simplify 1 into 1 1545733234.228 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.228 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.228 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.229 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.229 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.229 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.229 * [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))) 1545733234.229 * [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)))) 1545733234.229 * [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))))) 1545733234.230 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545733234.230 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1545733234.230 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.231 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1545733234.232 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545733234.232 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.232 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1545733234.232 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of -1 in n 1545733234.233 * [misc]backup-simplify: Simplify -1 into -1 1545733234.233 * [misc]taylor: Taking taylor expansion of k in n 1545733234.233 * [misc]backup-simplify: Simplify k into k 1545733234.233 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545733234.233 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545733234.233 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545733234.233 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545733234.233 * [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 1545733234.233 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of k in n 1545733234.233 * [misc]backup-simplify: Simplify k into k 1545733234.233 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.233 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.233 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.233 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.233 * [misc]backup-simplify: Simplify -2 into -2 1545733234.233 * [misc]taylor: Taking taylor expansion of n in n 1545733234.233 * [misc]backup-simplify: Simplify 0 into 0 1545733234.233 * [misc]backup-simplify: Simplify 1 into 1 1545733234.233 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.233 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.233 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.234 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.234 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545733234.234 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545733234.234 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of k in n 1545733234.234 * [misc]backup-simplify: Simplify k into k 1545733234.234 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.234 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.234 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.234 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.234 * [misc]backup-simplify: Simplify PI into PI 1545733234.235 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.235 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.235 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.235 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.235 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.236 * [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))) 1545733234.236 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.236 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733234.237 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733234.237 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733234.237 * [misc]taylor: Taking taylor expansion of -1 in k 1545733234.237 * [misc]backup-simplify: Simplify -1 into -1 1545733234.237 * [misc]taylor: Taking taylor expansion of k in k 1545733234.237 * [misc]backup-simplify: Simplify 0 into 0 1545733234.237 * [misc]backup-simplify: Simplify 1 into 1 1545733234.237 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733234.237 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.237 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733234.237 * [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 1545733234.238 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of k in k 1545733234.238 * [misc]backup-simplify: Simplify 0 into 0 1545733234.238 * [misc]backup-simplify: Simplify 1 into 1 1545733234.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.238 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733234.238 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.238 * [misc]backup-simplify: Simplify -2 into -2 1545733234.238 * [misc]taylor: Taking taylor expansion of n in k 1545733234.238 * [misc]backup-simplify: Simplify n into n 1545733234.238 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733234.238 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733234.239 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.239 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.239 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733234.239 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.239 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.239 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.239 * [misc]taylor: Taking taylor expansion of k in k 1545733234.239 * [misc]backup-simplify: Simplify 0 into 0 1545733234.239 * [misc]backup-simplify: Simplify 1 into 1 1545733234.239 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.239 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.239 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.240 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.240 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.240 * [misc]backup-simplify: Simplify PI into PI 1545733234.240 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.240 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.240 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.241 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.241 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.241 * [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))) 1545733234.242 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.242 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733234.242 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545733234.242 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545733234.242 * [misc]taylor: Taking taylor expansion of -1 in k 1545733234.242 * [misc]backup-simplify: Simplify -1 into -1 1545733234.242 * [misc]taylor: Taking taylor expansion of k in k 1545733234.242 * [misc]backup-simplify: Simplify 0 into 0 1545733234.242 * [misc]backup-simplify: Simplify 1 into 1 1545733234.242 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545733234.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.243 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545733234.243 * [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 1545733234.243 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of k in k 1545733234.243 * [misc]backup-simplify: Simplify 0 into 0 1545733234.243 * [misc]backup-simplify: Simplify 1 into 1 1545733234.243 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.243 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733234.243 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.243 * [misc]backup-simplify: Simplify -2 into -2 1545733234.243 * [misc]taylor: Taking taylor expansion of n in k 1545733234.243 * [misc]backup-simplify: Simplify n into n 1545733234.243 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733234.244 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733234.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.244 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.244 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733234.244 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.244 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.244 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.244 * [misc]taylor: Taking taylor expansion of k in k 1545733234.244 * [misc]backup-simplify: Simplify 0 into 0 1545733234.244 * [misc]backup-simplify: Simplify 1 into 1 1545733234.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.245 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.245 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.245 * [misc]backup-simplify: Simplify PI into PI 1545733234.245 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.245 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.245 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.246 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.246 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.246 * [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))) 1545733234.247 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.247 * [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 1545733234.247 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.247 * [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 1545733234.247 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of k in n 1545733234.247 * [misc]backup-simplify: Simplify k into k 1545733234.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.247 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.247 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.248 * [misc]backup-simplify: Simplify -2 into -2 1545733234.248 * [misc]taylor: Taking taylor expansion of n in n 1545733234.248 * [misc]backup-simplify: Simplify 0 into 0 1545733234.248 * [misc]backup-simplify: Simplify 1 into 1 1545733234.248 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.248 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.248 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.249 * [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))) 1545733234.249 * [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)))) 1545733234.249 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.249 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.249 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.250 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.250 * [misc]taylor: Taking taylor expansion of k in n 1545733234.250 * [misc]backup-simplify: Simplify k into k 1545733234.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.250 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.250 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.250 * [misc]backup-simplify: Simplify PI into PI 1545733234.250 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.250 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.250 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.251 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.251 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.252 * [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))) 1545733234.252 * [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)))) 1545733234.253 * [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)))) 1545733234.253 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545733234.254 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545733234.255 * [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 1545733234.255 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.256 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.256 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.256 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545733234.256 * [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 1545733234.256 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of k in n 1545733234.256 * [misc]backup-simplify: Simplify k into k 1545733234.256 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.256 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.256 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.256 * [misc]backup-simplify: Simplify -2 into -2 1545733234.256 * [misc]taylor: Taking taylor expansion of n in n 1545733234.256 * [misc]backup-simplify: Simplify 0 into 0 1545733234.256 * [misc]backup-simplify: Simplify 1 into 1 1545733234.257 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.257 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.257 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.257 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.257 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.258 * [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))) 1545733234.258 * [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)))) 1545733234.258 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.258 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.258 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.258 * [misc]taylor: Taking taylor expansion of k in n 1545733234.258 * [misc]backup-simplify: Simplify k into k 1545733234.259 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.259 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.259 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.259 * [misc]backup-simplify: Simplify PI into PI 1545733234.259 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.259 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.259 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.260 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.260 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.260 * [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))) 1545733234.261 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.261 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1545733234.262 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.263 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.265 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.265 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.265 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.266 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.266 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545733234.267 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733234.271 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733234.271 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.271 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.272 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.272 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.272 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733234.274 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.274 * [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 1545733234.275 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1545733234.276 * [misc]backup-simplify: Simplify 0 into 0 1545733234.276 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.277 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545733234.278 * [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 1545733234.279 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.280 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545733234.280 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545733234.280 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545733234.280 * [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 1545733234.280 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of k in n 1545733234.280 * [misc]backup-simplify: Simplify k into k 1545733234.280 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.280 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.280 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.280 * [misc]backup-simplify: Simplify -2 into -2 1545733234.280 * [misc]taylor: Taking taylor expansion of n in n 1545733234.280 * [misc]backup-simplify: Simplify 0 into 0 1545733234.280 * [misc]backup-simplify: Simplify 1 into 1 1545733234.281 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.281 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.281 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.281 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.281 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.282 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545733234.282 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545733234.282 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.282 * [misc]taylor: Taking taylor expansion of k in n 1545733234.282 * [misc]backup-simplify: Simplify k into k 1545733234.282 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.283 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.283 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.283 * [misc]backup-simplify: Simplify PI into PI 1545733234.283 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.283 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.284 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.284 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.285 * [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))) 1545733234.285 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545733234.286 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1545733234.286 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.287 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545733234.289 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545733234.289 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1545733234.290 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545733234.290 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in (k n) around 0 1545733234.290 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.290 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.290 * [misc]taylor: Taking taylor expansion of k in n 1545733234.290 * [misc]backup-simplify: Simplify k into k 1545733234.290 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.290 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.290 * [misc]backup-simplify: Simplify 2 into 2 1545733234.290 * [misc]taylor: Taking taylor expansion of n in n 1545733234.290 * [misc]backup-simplify: Simplify 0 into 0 1545733234.290 * [misc]backup-simplify: Simplify 1 into 1 1545733234.291 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.291 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.291 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.291 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.291 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.291 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.292 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.292 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733234.292 * [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)))) 1545733234.292 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545733234.292 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545733234.292 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545733234.292 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.293 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.293 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.293 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.293 * [misc]taylor: Taking taylor expansion of k in n 1545733234.293 * [misc]backup-simplify: Simplify k into k 1545733234.293 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.293 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.293 * [misc]backup-simplify: Simplify PI into PI 1545733234.293 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.293 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.293 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.293 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.294 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545733234.294 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545733234.294 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.294 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.294 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.294 * [misc]taylor: Taking taylor expansion of k in k 1545733234.294 * [misc]backup-simplify: Simplify 0 into 0 1545733234.294 * [misc]backup-simplify: Simplify 1 into 1 1545733234.295 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733234.295 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733234.295 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.295 * [misc]backup-simplify: Simplify 2 into 2 1545733234.295 * [misc]taylor: Taking taylor expansion of n in k 1545733234.295 * [misc]backup-simplify: Simplify n into n 1545733234.295 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733234.295 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733234.295 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.295 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.295 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.295 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733234.295 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733234.295 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.296 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.296 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.296 * [misc]taylor: Taking taylor expansion of k in k 1545733234.296 * [misc]backup-simplify: Simplify 0 into 0 1545733234.296 * [misc]backup-simplify: Simplify 1 into 1 1545733234.296 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.296 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.296 * [misc]backup-simplify: Simplify PI into PI 1545733234.296 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.296 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.296 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.296 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.297 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.298 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.298 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.298 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.298 * [misc]taylor: Taking taylor expansion of k in k 1545733234.298 * [misc]backup-simplify: Simplify 0 into 0 1545733234.298 * [misc]backup-simplify: Simplify 1 into 1 1545733234.298 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733234.298 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.298 * [misc]backup-simplify: Simplify 2 into 2 1545733234.298 * [misc]taylor: Taking taylor expansion of n in k 1545733234.298 * [misc]backup-simplify: Simplify n into n 1545733234.298 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733234.298 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733234.298 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.299 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.299 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.299 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733234.299 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733234.299 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.299 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.299 * [misc]taylor: Taking taylor expansion of k in k 1545733234.299 * [misc]backup-simplify: Simplify 0 into 0 1545733234.299 * [misc]backup-simplify: Simplify 1 into 1 1545733234.299 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.299 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.299 * [misc]backup-simplify: Simplify PI into PI 1545733234.300 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.300 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.300 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.300 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.301 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.301 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545733234.302 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545733234.302 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545733234.302 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545733234.302 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.302 * [misc]backup-simplify: Simplify PI into PI 1545733234.302 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545733234.302 * [misc]taylor: Taking taylor expansion of n in n 1545733234.302 * [misc]backup-simplify: Simplify 0 into 0 1545733234.302 * [misc]backup-simplify: Simplify 1 into 1 1545733234.302 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.302 * [misc]backup-simplify: Simplify 2 into 2 1545733234.302 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545733234.302 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.303 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545733234.303 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545733234.303 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.304 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.304 * [misc]backup-simplify: Simplify 0 into 0 1545733234.307 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.307 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.307 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.308 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545733234.312 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545733234.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545733234.313 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545733234.313 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.313 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.313 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.314 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545733234.314 * [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)))) 1545733234.316 * [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)))))) 1545733234.316 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.316 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.316 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.316 * [misc]backup-simplify: Simplify 2 into 2 1545733234.316 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.317 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.317 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.317 * [misc]backup-simplify: Simplify PI into PI 1545733234.317 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.317 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733234.317 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.317 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.317 * [misc]backup-simplify: Simplify PI into PI 1545733234.317 * [misc]taylor: Taking taylor expansion of n in n 1545733234.317 * [misc]backup-simplify: Simplify 0 into 0 1545733234.317 * [misc]backup-simplify: Simplify 1 into 1 1545733234.317 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.318 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.318 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.319 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545733234.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.319 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545733234.319 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545733234.319 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.319 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.319 * [misc]backup-simplify: Simplify 2 into 2 1545733234.319 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.319 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.319 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.319 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.320 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.320 * [misc]backup-simplify: Simplify 2 into 2 1545733234.320 * [misc]taylor: Taking taylor expansion of n in n 1545733234.320 * [misc]backup-simplify: Simplify 0 into 0 1545733234.320 * [misc]backup-simplify: Simplify 1 into 1 1545733234.320 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.320 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.320 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.320 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733234.320 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.320 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.320 * [misc]backup-simplify: Simplify PI into PI 1545733234.320 * [misc]taylor: Taking taylor expansion of n in n 1545733234.320 * [misc]backup-simplify: Simplify 0 into 0 1545733234.320 * [misc]backup-simplify: Simplify 1 into 1 1545733234.321 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.321 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.321 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.322 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.323 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545733234.324 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545733234.324 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.324 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.325 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545733234.325 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545733234.325 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.325 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.326 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.326 * [misc]backup-simplify: Simplify 0 into 0 1545733234.326 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545733234.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733234.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.331 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.331 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.332 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545733234.337 * [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))) 1545733234.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545733234.340 * [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 1545733234.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.340 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545733234.342 * [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))) 1545733234.345 * [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))))))) 1545733234.345 * [misc]taylor: Taking taylor expansion of (+ (* 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))))))) in n 1545733234.345 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545733234.346 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545733234.346 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.346 * [misc]backup-simplify: Simplify 2 into 2 1545733234.346 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.346 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.346 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.346 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.346 * [misc]backup-simplify: Simplify PI into PI 1545733234.347 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.347 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733234.347 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.347 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.347 * [misc]backup-simplify: Simplify PI into PI 1545733234.347 * [misc]taylor: Taking taylor expansion of n in n 1545733234.347 * [misc]backup-simplify: Simplify 0 into 0 1545733234.347 * [misc]backup-simplify: Simplify 1 into 1 1545733234.347 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.348 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.348 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.348 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))))) in n 1545733234.348 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545733234.348 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545733234.348 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545733234.348 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545733234.348 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545733234.348 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.349 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.349 * [misc]backup-simplify: Simplify 2 into 2 1545733234.349 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.350 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.350 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545733234.350 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.350 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.350 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.350 * [misc]backup-simplify: Simplify 2 into 2 1545733234.350 * [misc]taylor: Taking taylor expansion of n in n 1545733234.350 * [misc]backup-simplify: Simplify 0 into 0 1545733234.350 * [misc]backup-simplify: Simplify 1 into 1 1545733234.350 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.350 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.351 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.351 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.351 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733234.351 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.351 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.351 * [misc]backup-simplify: Simplify PI into PI 1545733234.351 * [misc]taylor: Taking taylor expansion of n in n 1545733234.351 * [misc]backup-simplify: Simplify 0 into 0 1545733234.351 * [misc]backup-simplify: Simplify 1 into 1 1545733234.351 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.352 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.352 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.353 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.353 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545733234.353 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545733234.353 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545733234.353 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545733234.353 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545733234.353 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545733234.353 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.353 * [misc]backup-simplify: Simplify PI into PI 1545733234.353 * [misc]taylor: Taking taylor expansion of n in n 1545733234.353 * [misc]backup-simplify: Simplify 0 into 0 1545733234.353 * [misc]backup-simplify: Simplify 1 into 1 1545733234.353 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545733234.354 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545733234.354 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545733234.355 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545733234.355 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545733234.355 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545733234.355 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.355 * [misc]backup-simplify: Simplify 2 into 2 1545733234.355 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545733234.355 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545733234.355 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545733234.355 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.355 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.355 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.355 * [misc]backup-simplify: Simplify 2 into 2 1545733234.355 * [misc]taylor: Taking taylor expansion of n in n 1545733234.355 * [misc]backup-simplify: Simplify 0 into 0 1545733234.355 * [misc]backup-simplify: Simplify 1 into 1 1545733234.356 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.356 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.356 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.356 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.356 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.356 * [misc]backup-simplify: Simplify PI into PI 1545733234.356 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.357 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545733234.358 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545733234.360 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545733234.360 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545733234.360 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.360 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.361 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545733234.361 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545733234.362 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545733234.362 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545733234.362 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.363 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545733234.363 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545733234.364 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545733234.364 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545733234.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.365 * [misc]backup-simplify: Simplify 0 into 0 1545733234.367 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.368 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545733234.370 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733234.373 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545733234.373 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.375 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.376 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.376 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545733234.376 * [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)))))) 1545733234.378 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +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)))))) 1545733234.380 * [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))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733234.383 * [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))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733234.385 * [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)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))))) 1545733234.385 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545733234.386 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545733234.387 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545733234.387 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545733234.390 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (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)))))))) (* n k)) (* (* +nan.0 PI) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545733234.391 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (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))))) 1545733234.391 * [misc]approximate: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545733234.391 * [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 1545733234.391 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.391 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of k in n 1545733234.391 * [misc]backup-simplify: Simplify k into k 1545733234.391 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.391 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.391 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.391 * [misc]backup-simplify: Simplify PI into PI 1545733234.391 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.392 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.392 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.392 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.392 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.392 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.392 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.392 * [misc]taylor: Taking taylor expansion of k in n 1545733234.392 * [misc]backup-simplify: Simplify k into k 1545733234.392 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.392 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.393 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.393 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.393 * [misc]backup-simplify: Simplify 2 into 2 1545733234.393 * [misc]taylor: Taking taylor expansion of n in n 1545733234.393 * [misc]backup-simplify: Simplify 0 into 0 1545733234.393 * [misc]backup-simplify: Simplify 1 into 1 1545733234.393 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.393 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.393 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.393 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.393 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.393 * [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))) 1545733234.394 * [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)))) 1545733234.394 * [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 1545733234.394 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.394 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.394 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of k in k 1545733234.394 * [misc]backup-simplify: Simplify 0 into 0 1545733234.394 * [misc]backup-simplify: Simplify 1 into 1 1545733234.394 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.394 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.394 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.394 * [misc]backup-simplify: Simplify PI into PI 1545733234.394 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.394 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.394 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.394 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.395 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.395 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.395 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of k in k 1545733234.395 * [misc]backup-simplify: Simplify 0 into 0 1545733234.395 * [misc]backup-simplify: Simplify 1 into 1 1545733234.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.395 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733234.395 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.395 * [misc]backup-simplify: Simplify 2 into 2 1545733234.395 * [misc]taylor: Taking taylor expansion of n in k 1545733234.395 * [misc]backup-simplify: Simplify n into n 1545733234.395 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733234.396 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733234.396 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.396 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.396 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.396 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733234.396 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.396 * [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 1545733234.396 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.396 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of k in k 1545733234.396 * [misc]backup-simplify: Simplify 0 into 0 1545733234.396 * [misc]backup-simplify: Simplify 1 into 1 1545733234.396 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.396 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.396 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.396 * [misc]backup-simplify: Simplify PI into PI 1545733234.397 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.397 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.397 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.397 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.397 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545733234.397 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.397 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.397 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733234.397 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733234.397 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.398 * [misc]taylor: Taking taylor expansion of k in k 1545733234.398 * [misc]backup-simplify: Simplify 0 into 0 1545733234.398 * [misc]backup-simplify: Simplify 1 into 1 1545733234.398 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.398 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733234.398 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733234.398 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.398 * [misc]backup-simplify: Simplify 2 into 2 1545733234.398 * [misc]taylor: Taking taylor expansion of n in k 1545733234.398 * [misc]backup-simplify: Simplify n into n 1545733234.398 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733234.398 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733234.398 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.398 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.398 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.398 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733234.398 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.399 * [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))))) 1545733234.399 * [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 1545733234.399 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.399 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.399 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of k in n 1545733234.399 * [misc]backup-simplify: Simplify k into k 1545733234.399 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.399 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.399 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.399 * [misc]backup-simplify: Simplify PI into PI 1545733234.399 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.399 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.399 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.399 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.400 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545733234.400 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.400 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of k in n 1545733234.400 * [misc]backup-simplify: Simplify k into k 1545733234.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.400 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.400 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.400 * [misc]backup-simplify: Simplify 2 into 2 1545733234.400 * [misc]taylor: Taking taylor expansion of n in n 1545733234.400 * [misc]backup-simplify: Simplify 0 into 0 1545733234.400 * [misc]backup-simplify: Simplify 1 into 1 1545733234.400 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.400 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.400 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.400 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.400 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.401 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.401 * [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))) 1545733234.401 * [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)))) 1545733234.401 * [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))))) 1545733234.402 * [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))))) 1545733234.402 * [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 1545733234.402 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.402 * [misc]backup-simplify: Simplify 0 into 0 1545733234.402 * [misc]backup-simplify: Simplify 0 into 0 1545733234.402 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733234.403 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.404 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.404 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.404 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733234.405 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.406 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.407 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.407 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.407 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.407 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545733234.408 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.408 * [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 1545733234.408 * [misc]backup-simplify: Simplify 0 into 0 1545733234.409 * [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 1545733234.409 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.409 * [misc]backup-simplify: Simplify 0 into 0 1545733234.409 * [misc]backup-simplify: Simplify 0 into 0 1545733234.409 * [misc]backup-simplify: Simplify 0 into 0 1545733234.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.412 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733234.412 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.412 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.412 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.413 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545733234.415 * [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 1545733234.419 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733234.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.419 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.419 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.420 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.420 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545733234.423 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733234.423 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1545733234.423 * [misc]backup-simplify: Simplify 0 into 0 1545733234.424 * [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 1545733234.424 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.424 * [misc]backup-simplify: Simplify 0 into 0 1545733234.424 * [misc]backup-simplify: Simplify 0 into 0 1545733234.424 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (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)))) (pow PI (- 1/2 (* 1/2 k)))) 1545733234.425 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (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))) 1545733234.425 * [misc]approximate: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545733234.425 * [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 1545733234.425 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of k in n 1545733234.425 * [misc]backup-simplify: Simplify k into k 1545733234.425 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.425 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.425 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.425 * [misc]backup-simplify: Simplify -2 into -2 1545733234.425 * [misc]taylor: Taking taylor expansion of n in n 1545733234.425 * [misc]backup-simplify: Simplify 0 into 0 1545733234.425 * [misc]backup-simplify: Simplify 1 into 1 1545733234.426 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.426 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.426 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.426 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.426 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.427 * [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))) 1545733234.427 * [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)))) 1545733234.427 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of k in n 1545733234.427 * [misc]backup-simplify: Simplify k into k 1545733234.427 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.427 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.427 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.427 * [misc]backup-simplify: Simplify PI into PI 1545733234.428 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.428 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.428 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.428 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.429 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.429 * [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 1545733234.429 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of k in k 1545733234.429 * [misc]backup-simplify: Simplify 0 into 0 1545733234.429 * [misc]backup-simplify: Simplify 1 into 1 1545733234.429 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.429 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.429 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733234.429 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733234.430 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.430 * [misc]backup-simplify: Simplify -2 into -2 1545733234.430 * [misc]taylor: Taking taylor expansion of n in k 1545733234.430 * [misc]backup-simplify: Simplify n into n 1545733234.430 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733234.430 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733234.430 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.430 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.430 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733234.430 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.430 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of k in k 1545733234.431 * [misc]backup-simplify: Simplify 0 into 0 1545733234.431 * [misc]backup-simplify: Simplify 1 into 1 1545733234.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.431 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.431 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.431 * [misc]backup-simplify: Simplify PI into PI 1545733234.431 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.432 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.432 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.433 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.433 * [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 1545733234.433 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.433 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of k in k 1545733234.433 * [misc]backup-simplify: Simplify 0 into 0 1545733234.433 * [misc]backup-simplify: Simplify 1 into 1 1545733234.433 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.433 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.433 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.433 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733234.433 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.433 * [misc]backup-simplify: Simplify -2 into -2 1545733234.433 * [misc]taylor: Taking taylor expansion of n in k 1545733234.433 * [misc]backup-simplify: Simplify n into n 1545733234.433 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733234.433 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733234.434 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.434 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.434 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733234.434 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.434 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.434 * [misc]taylor: Taking taylor expansion of k in k 1545733234.434 * [misc]backup-simplify: Simplify 0 into 0 1545733234.434 * [misc]backup-simplify: Simplify 1 into 1 1545733234.435 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.435 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.435 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545733234.435 * [misc]taylor: Taking taylor expansion of PI in k 1545733234.435 * [misc]backup-simplify: Simplify PI into PI 1545733234.435 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.435 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.435 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.436 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545733234.436 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.436 * [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))) 1545733234.436 * [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 1545733234.437 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.437 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of k in n 1545733234.437 * [misc]backup-simplify: Simplify k into k 1545733234.437 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.437 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.437 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.437 * [misc]backup-simplify: Simplify -2 into -2 1545733234.437 * [misc]taylor: Taking taylor expansion of n in n 1545733234.437 * [misc]backup-simplify: Simplify 0 into 0 1545733234.437 * [misc]backup-simplify: Simplify 1 into 1 1545733234.437 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.437 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.438 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.438 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.438 * [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))) 1545733234.439 * [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)))) 1545733234.439 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of k in n 1545733234.439 * [misc]backup-simplify: Simplify k into k 1545733234.439 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.439 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545733234.439 * [misc]taylor: Taking taylor expansion of PI in n 1545733234.439 * [misc]backup-simplify: Simplify PI into PI 1545733234.439 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545733234.439 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.440 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.440 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545733234.440 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.441 * [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))) 1545733234.441 * [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))) 1545733234.442 * [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 1545733234.442 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.442 * [misc]backup-simplify: Simplify 0 into 0 1545733234.442 * [misc]backup-simplify: Simplify 0 into 0 1545733234.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545733234.445 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.445 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.445 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.446 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545733234.447 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.448 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733234.450 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733234.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.450 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.451 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.451 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733234.453 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.453 * [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 1545733234.453 * [misc]backup-simplify: Simplify 0 into 0 1545733234.454 * [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 1545733234.454 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.454 * [misc]backup-simplify: Simplify 0 into 0 1545733234.454 * [misc]backup-simplify: Simplify 0 into 0 1545733234.454 * [misc]backup-simplify: Simplify 0 into 0 1545733234.459 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545733234.459 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.460 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.461 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545733234.463 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733234.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.468 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545733234.468 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.469 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.469 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.470 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545733234.472 * [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 1545733234.472 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545733234.472 * [misc]backup-simplify: Simplify 0 into 0 1545733234.473 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545733234.473 * [misc]taylor: Taking taylor expansion of 0 in n 1545733234.473 * [misc]backup-simplify: Simplify 0 into 0 1545733234.473 * [misc]backup-simplify: Simplify 0 into 0 1545733234.474 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545733234.474 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 2) 1545733234.474 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545733234.474 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545733234.474 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.474 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.474 * [misc]taylor: Taking taylor expansion of k in k 1545733234.474 * [misc]backup-simplify: Simplify 0 into 0 1545733234.474 * [misc]backup-simplify: Simplify 1 into 1 1545733234.474 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545733234.474 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.474 * [misc]backup-simplify: Simplify 2 into 2 1545733234.474 * [misc]taylor: Taking taylor expansion of n in k 1545733234.474 * [misc]backup-simplify: Simplify n into n 1545733234.474 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545733234.474 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545733234.475 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.475 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.475 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.475 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545733234.475 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545733234.475 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733234.475 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733234.475 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733234.475 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.475 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.475 * [misc]taylor: Taking taylor expansion of k in n 1545733234.476 * [misc]backup-simplify: Simplify k into k 1545733234.476 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.476 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.476 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.476 * [misc]backup-simplify: Simplify 2 into 2 1545733234.476 * [misc]taylor: Taking taylor expansion of n in n 1545733234.476 * [misc]backup-simplify: Simplify 0 into 0 1545733234.476 * [misc]backup-simplify: Simplify 1 into 1 1545733234.476 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.476 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.476 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.476 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.476 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.477 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.477 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733234.477 * [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)))) 1545733234.478 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.478 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.478 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.478 * [misc]taylor: Taking taylor expansion of k in n 1545733234.478 * [misc]backup-simplify: Simplify k into k 1545733234.478 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545733234.478 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.478 * [misc]backup-simplify: Simplify 2 into 2 1545733234.478 * [misc]taylor: Taking taylor expansion of n in n 1545733234.478 * [misc]backup-simplify: Simplify 0 into 0 1545733234.478 * [misc]backup-simplify: Simplify 1 into 1 1545733234.478 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545733234.478 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545733234.478 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.479 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545733234.479 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545733234.479 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545733234.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.479 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545733234.480 * [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)))) 1545733234.480 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.480 * [misc]backup-simplify: Simplify 2 into 2 1545733234.480 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.480 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of n in k 1545733234.480 * [misc]backup-simplify: Simplify n into n 1545733234.480 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733234.480 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.480 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733234.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.480 * [misc]taylor: Taking taylor expansion of k in k 1545733234.481 * [misc]backup-simplify: Simplify 0 into 0 1545733234.481 * [misc]backup-simplify: Simplify 1 into 1 1545733234.481 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545733234.481 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733234.481 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.481 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.481 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545733234.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545733234.482 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545733234.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.485 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.485 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545733234.485 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.486 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.486 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545733234.488 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.488 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.488 * [misc]backup-simplify: Simplify 0 into 0 1545733234.488 * [misc]backup-simplify: Simplify 0 into 0 1545733234.488 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733234.488 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.488 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.491 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.492 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545733234.492 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.492 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545733234.493 * [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))))) 1545733234.494 * [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))))) 1545733234.494 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545733234.497 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733234.497 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545733234.498 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.498 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545733234.498 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545733234.499 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545733234.499 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.499 * [misc]backup-simplify: Simplify 0 into 0 1545733234.499 * [misc]backup-simplify: Simplify 0 into 0 1545733234.499 * [misc]backup-simplify: Simplify 0 into 0 1545733234.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733234.500 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.503 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733234.504 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545733234.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.504 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545733234.505 * [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))))) 1545733234.506 * [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))))) 1545733234.507 * [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))))) 1545733234.508 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.508 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545733234.508 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of k in k 1545733234.508 * [misc]backup-simplify: Simplify 0 into 0 1545733234.508 * [misc]backup-simplify: Simplify 1 into 1 1545733234.508 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.508 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545733234.508 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.508 * [misc]backup-simplify: Simplify 2 into 2 1545733234.508 * [misc]taylor: Taking taylor expansion of n in k 1545733234.508 * [misc]backup-simplify: Simplify n into n 1545733234.508 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545733234.508 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545733234.508 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.508 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.508 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.509 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545733234.509 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545733234.509 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of k in n 1545733234.509 * [misc]backup-simplify: Simplify k into k 1545733234.509 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.509 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.509 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.509 * [misc]backup-simplify: Simplify 2 into 2 1545733234.509 * [misc]taylor: Taking taylor expansion of n in n 1545733234.509 * [misc]backup-simplify: Simplify 0 into 0 1545733234.509 * [misc]backup-simplify: Simplify 1 into 1 1545733234.509 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.509 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.509 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.509 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.509 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.510 * [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))) 1545733234.510 * [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)))) 1545733234.510 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.510 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.510 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.510 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of k in n 1545733234.510 * [misc]backup-simplify: Simplify k into k 1545733234.510 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.510 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545733234.510 * [misc]taylor: Taking taylor expansion of 2 in n 1545733234.510 * [misc]backup-simplify: Simplify 2 into 2 1545733234.510 * [misc]taylor: Taking taylor expansion of n in n 1545733234.510 * [misc]backup-simplify: Simplify 0 into 0 1545733234.510 * [misc]backup-simplify: Simplify 1 into 1 1545733234.510 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545733234.511 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.511 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.511 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545733234.511 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545733234.511 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.511 * [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))) 1545733234.511 * [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)))) 1545733234.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545733234.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.512 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.512 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of k in k 1545733234.512 * [misc]backup-simplify: Simplify 0 into 0 1545733234.512 * [misc]backup-simplify: Simplify 1 into 1 1545733234.512 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.512 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of 2 in k 1545733234.512 * [misc]backup-simplify: Simplify 2 into 2 1545733234.512 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545733234.512 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733234.512 * [misc]taylor: Taking taylor expansion of n in k 1545733234.512 * [misc]backup-simplify: Simplify n into n 1545733234.512 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733234.512 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.512 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733234.512 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733234.512 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733234.512 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545733234.513 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545733234.513 * [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)))) 1545733234.513 * [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)))) 1545733234.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545733234.515 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545733234.515 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.515 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.515 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.515 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.516 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545733234.516 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.516 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.516 * [misc]backup-simplify: Simplify 0 into 0 1545733234.516 * [misc]backup-simplify: Simplify 0 into 0 1545733234.516 * [misc]backup-simplify: Simplify 0 into 0 1545733234.517 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.519 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545733234.519 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.520 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.520 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.520 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.520 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.520 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545733234.521 * [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 1545733234.521 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.522 * [misc]backup-simplify: Simplify 0 into 0 1545733234.522 * [misc]backup-simplify: Simplify 0 into 0 1545733234.522 * [misc]backup-simplify: Simplify 0 into 0 1545733234.522 * [misc]backup-simplify: Simplify 0 into 0 1545733234.522 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.528 * [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 1545733234.528 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733234.529 * [misc]backup-simplify: Simplify (- 0) into 0 1545733234.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.529 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545733234.530 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545733234.533 * [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 1545733234.533 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.533 * [misc]backup-simplify: Simplify 0 into 0 1545733234.533 * [misc]backup-simplify: Simplify 0 into 0 1545733234.534 * [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)))) 1545733234.534 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.534 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545733234.534 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.534 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.534 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.534 * [misc]taylor: Taking taylor expansion of k in k 1545733234.534 * [misc]backup-simplify: Simplify 0 into 0 1545733234.534 * [misc]backup-simplify: Simplify 1 into 1 1545733234.535 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.535 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545733234.535 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545733234.535 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.535 * [misc]backup-simplify: Simplify -2 into -2 1545733234.535 * [misc]taylor: Taking taylor expansion of n in k 1545733234.535 * [misc]backup-simplify: Simplify n into n 1545733234.535 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545733234.535 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545733234.535 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.535 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.535 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545733234.536 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545733234.536 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.536 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of k in n 1545733234.536 * [misc]backup-simplify: Simplify k into k 1545733234.536 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.536 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.536 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.536 * [misc]backup-simplify: Simplify -2 into -2 1545733234.536 * [misc]taylor: Taking taylor expansion of n in n 1545733234.536 * [misc]backup-simplify: Simplify 0 into 0 1545733234.536 * [misc]backup-simplify: Simplify 1 into 1 1545733234.536 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.536 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.537 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.537 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.537 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.537 * [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))) 1545733234.538 * [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)))) 1545733234.538 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of k in n 1545733234.538 * [misc]backup-simplify: Simplify k into k 1545733234.538 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545733234.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545733234.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.538 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545733234.538 * [misc]taylor: Taking taylor expansion of -2 in n 1545733234.538 * [misc]backup-simplify: Simplify -2 into -2 1545733234.538 * [misc]taylor: Taking taylor expansion of n in n 1545733234.538 * [misc]backup-simplify: Simplify 0 into 0 1545733234.538 * [misc]backup-simplify: Simplify 1 into 1 1545733234.538 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545733234.539 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.539 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545733234.539 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545733234.539 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.539 * [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))) 1545733234.540 * [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)))) 1545733234.540 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of k in k 1545733234.540 * [misc]backup-simplify: Simplify 0 into 0 1545733234.540 * [misc]backup-simplify: Simplify 1 into 1 1545733234.540 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733234.540 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733234.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733234.540 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545733234.540 * [misc]taylor: Taking taylor expansion of -2 in k 1545733234.540 * [misc]backup-simplify: Simplify -2 into -2 1545733234.541 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545733234.541 * [misc]taylor: Taking taylor expansion of (log n) in k 1545733234.541 * [misc]taylor: Taking taylor expansion of n in k 1545733234.541 * [misc]backup-simplify: Simplify n into n 1545733234.541 * [misc]backup-simplify: Simplify (log n) into (log n) 1545733234.541 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733234.541 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733234.541 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545733234.541 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545733234.542 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545733234.542 * [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)))) 1545733234.542 * [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)))) 1545733234.543 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545733234.545 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545733234.545 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545733234.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545733234.546 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.546 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545733234.548 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545733234.548 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.548 * [misc]backup-simplify: Simplify 0 into 0 1545733234.548 * [misc]backup-simplify: Simplify 0 into 0 1545733234.548 * [misc]backup-simplify: Simplify 0 into 0 1545733234.548 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.553 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545733234.553 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545733234.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.554 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.555 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545733234.557 * [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 1545733234.557 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.557 * [misc]backup-simplify: Simplify 0 into 0 1545733234.557 * [misc]backup-simplify: Simplify 0 into 0 1545733234.557 * [misc]backup-simplify: Simplify 0 into 0 1545733234.557 * [misc]backup-simplify: Simplify 0 into 0 1545733234.558 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733234.565 * [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 1545733234.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545733234.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545733234.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733234.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545733234.567 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545733234.571 * [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 1545733234.571 * [misc]taylor: Taking taylor expansion of 0 in k 1545733234.571 * [misc]backup-simplify: Simplify 0 into 0 1545733234.571 * [misc]backup-simplify: Simplify 0 into 0 1545733234.571 * [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))))) 1545733234.571 * * * [misc]progress: simplifying candidates 1545733234.571 * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # 1545733234.572 * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # 1545733234.572 * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # 1545733234.572 * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # 1545733234.572 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545733234.572 * * [misc]simplify: iters left: 3 (5 enodes) 1545733234.574 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545733234.574 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.574 * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # 1545733234.574 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733234.574 * * [misc]simplify: iters left: 5 (6 enodes) 1545733234.576 * * [misc]simplify: iters left: 4 (8 enodes) 1545733234.578 * * [misc]simplify: iters left: 3 (11 enodes) 1545733234.581 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733234.582 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.582 * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # 1545733234.582 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545733234.582 * * [misc]simplify: iters left: 5 (6 enodes) 1545733234.584 * * [misc]simplify: iters left: 4 (8 enodes) 1545733234.586 * * [misc]simplify: iters left: 3 (11 enodes) 1545733234.589 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545733234.589 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.589 * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # 1545733234.590 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733234.590 * * [misc]simplify: iters left: 4 (5 enodes) 1545733234.591 * * [misc]simplify: iters left: 3 (7 enodes) 1545733234.593 * * [misc]simplify: iters left: 2 (10 enodes) 1545733234.596 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733234.596 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.596 * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # 1545733234.597 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545733234.597 * * [misc]simplify: iters left: 5 (6 enodes) 1545733234.598 * * [misc]simplify: iters left: 4 (8 enodes) 1545733234.601 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545733234.601 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.601 * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # 1545733234.601 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545733234.601 * * [misc]simplify: iters left: 5 (6 enodes) 1545733234.603 * * [misc]simplify: iters left: 4 (8 enodes) 1545733234.606 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545733234.606 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733234.606 * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # 1545733234.606 * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # 1545733234.607 * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # 1545733234.607 * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # 1545733234.607 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545733234.607 * * [misc]simplify: iters left: 6 (16 enodes) 1545733234.613 * * [misc]simplify: iters left: 5 (32 enodes) 1545733234.625 * * [misc]simplify: iters left: 4 (74 enodes) 1545733234.662 * * [misc]simplify: iters left: 3 (250 enodes) 1545733234.831 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1545733234.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1545733234.831 * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # 1545733234.831 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545733234.831 * * [misc]simplify: iters left: 6 (16 enodes) 1545733234.834 * * [misc]simplify: iters left: 5 (32 enodes) 1545733234.840 * * [misc]simplify: iters left: 4 (74 enodes) 1545733234.874 * * [misc]simplify: iters left: 3 (250 enodes) 1545733234.999 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1545733234.999 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1545733234.999 * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # 1545733234.999 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733235.000 * * [misc]simplify: iters left: 6 (16 enodes) 1545733235.002 * * [misc]simplify: iters left: 5 (28 enodes) 1545733235.010 * * [misc]simplify: iters left: 4 (56 enodes) 1545733235.021 * * [misc]simplify: iters left: 3 (144 enodes) 1545733235.105 * [exit]simplify: Simplified to (fma (- (- 1/2 (/ k 2))) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1545733235.105 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (- (- 1/2 (/ k 2))) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1545733235.105 * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # 1545733235.106 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545733235.106 * * [misc]simplify: iters left: 6 (16 enodes) 1545733235.112 * * [misc]simplify: iters left: 5 (30 enodes) 1545733235.124 * * [misc]simplify: iters left: 4 (62 enodes) 1545733235.152 * * [misc]simplify: iters left: 3 (191 enodes) 1545733235.291 * [exit]simplify: Simplified to (fma (- (- 1/2 (/ k 2))) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1545733235.291 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (- (- 1/2 (/ k 2))) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1545733235.291 * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # 1545733235.291 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1545733235.291 * * [misc]simplify: iters left: 6 (16 enodes) 1545733235.294 * * [misc]simplify: iters left: 5 (30 enodes) 1545733235.299 * * [misc]simplify: iters left: 4 (62 enodes) 1545733235.314 * * [misc]simplify: iters left: 3 (191 enodes) 1545733235.454 * [exit]simplify: Simplified to (fma (- (- 1/2 (/ k 2))) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1545733235.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (- (- 1/2 (/ k 2))) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1545733235.454 * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # 1545733235.455 * [enter]simplify: Simplifying (- (log (sqrt k)) (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733235.455 * * [misc]simplify: iters left: 6 (16 enodes) 1545733235.460 * * [misc]simplify: iters left: 5 (28 enodes) 1545733235.469 * * [misc]simplify: iters left: 4 (51 enodes) 1545733235.486 * * [misc]simplify: iters left: 3 (113 enodes) 1545733235.535 * * [misc]simplify: iters left: 2 (437 enodes) 1545733235.791 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI)) (log (sqrt k))) 1545733235.791 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI)) (log (sqrt k)))))) 1545733235.791 * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # 1545733235.791 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733235.791 * * [misc]simplify: iters left: 6 (15 enodes) 1545733235.793 * * [misc]simplify: iters left: 5 (24 enodes) 1545733235.797 * * [misc]simplify: iters left: 4 (38 enodes) 1545733235.803 * * [misc]simplify: iters left: 3 (66 enodes) 1545733235.815 * * [misc]simplify: iters left: 2 (151 enodes) 1545733235.910 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* n 2))) (log (sqrt k))) 1545733235.910 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* n 2))) (log (sqrt k)))))) 1545733235.910 * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # 1545733235.910 * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # 1545733235.910 * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # 1545733235.910 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733235.911 * * [misc]simplify: iters left: 6 (19 enodes) 1545733235.914 * * [misc]simplify: iters left: 5 (37 enodes) 1545733235.921 * * [misc]simplify: iters left: 4 (123 enodes) 1545733235.968 * * [misc]simplify: iters left: 3 (458 enodes) 1545733236.393 * [exit]simplify: Simplified to (/ (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733236.394 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545733236.394 * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # 1545733236.394 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733236.394 * * [misc]simplify: iters left: 6 (17 enodes) 1545733236.400 * * [misc]simplify: iters left: 5 (36 enodes) 1545733236.409 * * [misc]simplify: iters left: 4 (113 enodes) 1545733236.448 * * [misc]simplify: iters left: 3 (420 enodes) 1545733237.139 * [exit]simplify: Simplified to (/ (* (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545733237.140 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (* (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1545733237.140 * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # 1545733237.140 * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # 1545733237.140 * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # 1545733237.140 * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # 1545733237.140 * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # 1545733237.140 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545733237.140 * * [misc]simplify: iters left: 6 (11 enodes) 1545733237.142 * * [misc]simplify: iters left: 5 (15 enodes) 1545733237.144 * * [misc]simplify: iters left: 4 (20 enodes) 1545733237.146 * * [misc]simplify: iters left: 3 (21 enodes) 1545733237.149 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545733237.149 * [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))))))) 1545733237.149 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.149 * * [misc]simplify: iters left: 6 (11 enodes) 1545733237.151 * * [misc]simplify: iters left: 5 (14 enodes) 1545733237.153 * * [misc]simplify: iters left: 4 (17 enodes) 1545733237.155 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.155 * [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))))))) 1545733237.155 * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # 1545733237.155 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545733237.155 * * [misc]simplify: iters left: 6 (10 enodes) 1545733237.157 * * [misc]simplify: iters left: 5 (12 enodes) 1545733237.158 * * [misc]simplify: iters left: 4 (15 enodes) 1545733237.161 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545733237.161 * [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))))))) 1545733237.161 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.161 * * [misc]simplify: iters left: 6 (11 enodes) 1545733237.162 * * [misc]simplify: iters left: 5 (14 enodes) 1545733237.164 * * [misc]simplify: iters left: 4 (17 enodes) 1545733237.167 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.167 * [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))))))) 1545733237.167 * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # 1545733237.167 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545733237.167 * * [misc]simplify: iters left: 6 (9 enodes) 1545733237.168 * * [misc]simplify: iters left: 5 (13 enodes) 1545733237.170 * * [misc]simplify: iters left: 4 (16 enodes) 1545733237.172 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545733237.172 * [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))))))) 1545733237.173 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.173 * * [misc]simplify: iters left: 6 (10 enodes) 1545733237.176 * * [misc]simplify: iters left: 5 (13 enodes) 1545733237.180 * * [misc]simplify: iters left: 4 (16 enodes) 1545733237.184 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733237.184 * [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))))))) 1545733237.184 * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # 1545733237.184 * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # 1545733237.184 * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # 1545733237.184 * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # 1545733237.185 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545733237.185 * * [misc]simplify: iters left: 5 (8 enodes) 1545733237.187 * * [misc]simplify: iters left: 4 (11 enodes) 1545733237.190 * * [misc]simplify: iters left: 3 (14 enodes) 1545733237.194 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545733237.194 * [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)))))) 1545733237.194 * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # 1545733237.194 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545733237.194 * * [misc]simplify: iters left: 4 (4 enodes) 1545733237.196 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545733237.196 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545733237.196 * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # 1545733237.196 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545733237.196 * * [misc]simplify: iters left: 2 (3 enodes) 1545733237.197 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545733237.197 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545733237.197 * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # 1545733237.197 * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # 1545733237.197 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545733237.197 * * [misc]simplify: iters left: 5 (9 enodes) 1545733237.200 * * [misc]simplify: iters left: 4 (11 enodes) 1545733237.201 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545733237.201 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI 1/2) (pow (* n 2) 1/2))) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2)))))) 1545733237.201 * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # 1545733237.202 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545733237.202 * * [misc]simplify: iters left: 3 (6 enodes) 1545733237.203 * * [misc]simplify: iters left: 2 (7 enodes) 1545733237.204 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545733237.204 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2))))) 1545733237.204 * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # 1545733237.204 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545733237.204 * * [misc]simplify: iters left: 3 (5 enodes) 1545733237.205 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545733237.205 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2))))) (pow PI (/ k 2))))) 1545733237.205 * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # 1545733237.205 * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # 1545733237.205 * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # 1545733237.205 * [enter]simplify: Simplifying (* PI (* n 2)) 1545733237.205 * * [misc]simplify: iters left: 4 (5 enodes) 1545733237.206 * * [misc]simplify: iters left: 3 (9 enodes) 1545733237.208 * * [misc]simplify: iters left: 2 (15 enodes) 1545733237.210 * * [misc]simplify: iters left: 1 (17 enodes) 1545733237.212 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545733237.212 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545733237.212 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733237.212 * * [misc]simplify: iters left: 4 (5 enodes) 1545733237.213 * * [misc]simplify: iters left: 3 (7 enodes) 1545733237.214 * * [misc]simplify: iters left: 2 (10 enodes) 1545733237.215 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733237.215 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545733237.215 * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # 1545733237.215 * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # 1545733237.216 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733237.216 * * [misc]simplify: iters left: 6 (13 enodes) 1545733237.218 * * [misc]simplify: iters left: 5 (25 enodes) 1545733237.223 * * [misc]simplify: iters left: 4 (55 enodes) 1545733237.234 * * [misc]simplify: iters left: 3 (149 enodes) 1545733237.315 * * [misc]simplify: iters left: 2 (484 enodes) 1545733237.620 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733237.621 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))))))) 1545733237.621 * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # 1545733237.621 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733237.621 * * [misc]simplify: iters left: 6 (13 enodes) 1545733237.624 * * [misc]simplify: iters left: 5 (25 enodes) 1545733237.628 * * [misc]simplify: iters left: 4 (55 enodes) 1545733237.643 * * [misc]simplify: iters left: 3 (149 enodes) 1545733237.721 * * [misc]simplify: iters left: 2 (484 enodes) 1545733238.109 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733238.109 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))))))) 1545733238.109 * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # 1545733238.109 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545733238.109 * * [misc]simplify: iters left: 6 (13 enodes) 1545733238.113 * * [misc]simplify: iters left: 5 (21 enodes) 1545733238.121 * * [misc]simplify: iters left: 4 (41 enodes) 1545733238.135 * * [misc]simplify: iters left: 3 (87 enodes) 1545733238.184 * * [misc]simplify: iters left: 2 (257 enodes) 1545733238.386 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545733238.387 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))))))) 1545733238.387 * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # 1545733238.387 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733238.387 * * [misc]simplify: iters left: 6 (13 enodes) 1545733238.392 * * [misc]simplify: iters left: 5 (23 enodes) 1545733238.400 * * [misc]simplify: iters left: 4 (47 enodes) 1545733238.420 * * [misc]simplify: iters left: 3 (121 enodes) 1545733238.493 * * [misc]simplify: iters left: 2 (416 enodes) 1545733238.718 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545733238.718 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545733238.719 * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # 1545733238.719 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545733238.719 * * [misc]simplify: iters left: 6 (13 enodes) 1545733238.721 * * [misc]simplify: iters left: 5 (23 enodes) 1545733238.725 * * [misc]simplify: iters left: 4 (47 enodes) 1545733238.735 * * [misc]simplify: iters left: 3 (121 enodes) 1545733238.782 * * [misc]simplify: iters left: 2 (416 enodes) 1545733239.056 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) 1545733239.056 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1545733239.056 * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # 1545733239.056 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545733239.056 * * [misc]simplify: iters left: 6 (13 enodes) 1545733239.061 * * [misc]simplify: iters left: 5 (21 enodes) 1545733239.069 * * [misc]simplify: iters left: 4 (36 enodes) 1545733239.076 * * [misc]simplify: iters left: 3 (71 enodes) 1545733239.096 * * [misc]simplify: iters left: 2 (195 enodes) 1545733239.215 * [exit]simplify: Simplified to (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) 1545733239.215 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))))))) 1545733239.215 * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # 1545733239.215 * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # 1545733239.215 * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # 1545733239.216 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545733239.216 * * [misc]simplify: iters left: 6 (15 enodes) 1545733239.221 * * [misc]simplify: iters left: 5 (25 enodes) 1545733239.230 * * [misc]simplify: iters left: 4 (53 enodes) 1545733239.249 * * [misc]simplify: iters left: 3 (88 enodes) 1545733239.268 * * [misc]simplify: iters left: 2 (122 enodes) 1545733239.287 * * [misc]simplify: iters left: 1 (129 enodes) 1545733239.301 * [exit]simplify: Simplified to (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3) 1545733239.301 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (cbrt (pow (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 3))))) 1545733239.301 * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # 1545733239.301 * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # 1545733239.302 * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # 1545733239.302 * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # 1545733239.302 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) 1/2)) 1545733239.302 * * [misc]simplify: iters left: 5 (8 enodes) 1545733239.303 * * [misc]simplify: iters left: 4 (12 enodes) 1545733239.305 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1545733239.305 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))))))) 1545733239.305 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (pow (* n 2) (/ k 2))) 1545733239.305 * * [misc]simplify: iters left: 5 (9 enodes) 1545733239.306 * * [misc]simplify: iters left: 4 (11 enodes) 1545733239.308 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))) 1545733239.308 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt (* n 2)) (sqrt PI)) (* (pow (* 2 n) (/ k 2)) (pow PI (/ k 2))))))) 1545733239.308 * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # 1545733239.308 * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # 1545733239.308 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733239.308 * * [misc]simplify: iters left: 5 (7 enodes) 1545733239.309 * * [misc]simplify: iters left: 4 (10 enodes) 1545733239.310 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733239.310 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545733239.310 * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # 1545733239.311 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733239.311 * * [misc]simplify: iters left: 5 (7 enodes) 1545733239.312 * * [misc]simplify: iters left: 4 (10 enodes) 1545733239.313 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733239.313 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1545733239.313 * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # 1545733239.313 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545733239.313 * * [misc]simplify: iters left: 5 (6 enodes) 1545733239.314 * * [misc]simplify: iters left: 4 (8 enodes) 1545733239.315 * * [misc]simplify: iters left: 3 (11 enodes) 1545733239.317 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545733239.317 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1545733239.317 * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # 1545733239.317 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.317 * * [misc]simplify: iters left: 6 (9 enodes) 1545733239.318 * * [misc]simplify: iters left: 5 (12 enodes) 1545733239.320 * * [misc]simplify: iters left: 4 (15 enodes) 1545733239.322 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.322 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.322 * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # 1545733239.322 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.322 * * [misc]simplify: iters left: 6 (9 enodes) 1545733239.324 * * [misc]simplify: iters left: 5 (12 enodes) 1545733239.325 * * [misc]simplify: iters left: 4 (15 enodes) 1545733239.327 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.327 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.327 * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # 1545733239.328 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545733239.328 * * [misc]simplify: iters left: 5 (8 enodes) 1545733239.329 * * [misc]simplify: iters left: 4 (11 enodes) 1545733239.331 * * [misc]simplify: iters left: 3 (14 enodes) 1545733239.332 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545733239.333 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (pow PI (- 1/2 (/ k 2))) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733239.333 * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # 1545733239.333 * [enter]simplify: Simplifying (pow PI 1/2) 1545733239.333 * * [misc]simplify: iters left: 1 (3 enodes) 1545733239.333 * [exit]simplify: Simplified to (sqrt PI) 1545733239.333 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.333 * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # 1545733239.334 * [enter]simplify: Simplifying (pow PI 1/2) 1545733239.334 * * [misc]simplify: iters left: 1 (3 enodes) 1545733239.334 * [exit]simplify: Simplified to (sqrt PI) 1545733239.334 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt PI) (* (pow PI (- (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.334 * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # 1545733239.334 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545733239.334 * * [misc]simplify: iters left: 6 (9 enodes) 1545733239.337 * * [misc]simplify: iters left: 5 (11 enodes) 1545733239.340 * * [misc]simplify: iters left: 4 (14 enodes) 1545733239.344 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545733239.344 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.344 * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # 1545733239.345 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545733239.345 * * [misc]simplify: iters left: 6 (8 enodes) 1545733239.347 * * [misc]simplify: iters left: 5 (10 enodes) 1545733239.350 * * [misc]simplify: iters left: 4 (13 enodes) 1545733239.355 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545733239.355 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545733239.355 * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # 1545733239.355 * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # 1545733239.356 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545733239.356 * * [misc]simplify: iters left: 3 (6 enodes) 1545733239.357 * * [misc]simplify: iters left: 2 (7 enodes) 1545733239.360 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545733239.360 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1545733239.360 * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # 1545733239.360 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.360 * * [misc]simplify: iters left: 6 (11 enodes) 1545733239.364 * * [misc]simplify: iters left: 5 (16 enodes) 1545733239.368 * * [misc]simplify: iters left: 4 (19 enodes) 1545733239.374 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545733239.374 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))))) 1545733239.374 * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # 1545733239.374 * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # 1545733239.374 * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # 1545733239.374 * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # 1545733239.374 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545733239.375 * * [misc]simplify: iters left: 6 (9 enodes) 1545733239.379 * * [misc]simplify: iters left: 5 (16 enodes) 1545733239.384 * * [misc]simplify: iters left: 4 (32 enodes) 1545733239.397 * * [misc]simplify: iters left: 3 (72 enodes) 1545733239.437 * * [misc]simplify: iters left: 2 (195 enodes) 1545733239.505 * * [misc]simplify: iters left: 1 (418 enodes) 1545733239.657 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545733239.657 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1545733239.657 * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # 1545733239.657 * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # 1545733239.658 * [enter]simplify: Simplifying (* n 2) 1545733239.658 * * [misc]simplify: iters left: 2 (3 enodes) 1545733239.659 * * [misc]simplify: iters left: 1 (4 enodes) 1545733239.659 * [exit]simplify: Simplified to (* n 2) 1545733239.660 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1545733239.660 * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # 1545733239.660 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545733239.660 * * [misc]simplify: iters left: 3 (6 enodes) 1545733239.661 * * [misc]simplify: iters left: 2 (7 enodes) 1545733239.663 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545733239.663 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1545733239.663 * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # 1545733239.664 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733239.664 * * [misc]simplify: iters left: 5 (6 enodes) 1545733239.665 * * [misc]simplify: iters left: 4 (8 enodes) 1545733239.667 * * [misc]simplify: iters left: 3 (11 enodes) 1545733239.670 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733239.670 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1545733239.671 * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # 1545733239.671 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545733239.671 * * [misc]simplify: iters left: 5 (6 enodes) 1545733239.673 * * [misc]simplify: iters left: 4 (8 enodes) 1545733239.675 * * [misc]simplify: iters left: 3 (11 enodes) 1545733239.678 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545733239.678 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1545733239.678 * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # 1545733239.678 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733239.678 * * [misc]simplify: iters left: 4 (5 enodes) 1545733239.680 * * [misc]simplify: iters left: 3 (7 enodes) 1545733239.682 * * [misc]simplify: iters left: 2 (10 enodes) 1545733239.685 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733239.685 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1545733239.685 * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # 1545733239.685 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733239.685 * * [misc]simplify: iters left: 5 (7 enodes) 1545733239.687 * * [misc]simplify: iters left: 4 (10 enodes) 1545733239.690 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733239.690 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545733239.690 * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # 1545733239.690 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545733239.690 * * [misc]simplify: iters left: 5 (7 enodes) 1545733239.692 * * [misc]simplify: iters left: 4 (10 enodes) 1545733239.695 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545733239.695 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1545733239.695 * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # 1545733239.695 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545733239.695 * * [misc]simplify: iters left: 5 (7 enodes) 1545733239.697 * * [misc]simplify: iters left: 4 (9 enodes) 1545733239.700 * * [misc]simplify: iters left: 3 (12 enodes) 1545733239.703 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545733239.704 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1545733239.704 * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # 1545733239.704 * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # 1545733239.704 * [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)))) 1545733239.705 * * [misc]simplify: iters left: 6 (18 enodes) 1545733239.711 * * [misc]simplify: iters left: 5 (39 enodes) 1545733239.726 * * [misc]simplify: iters left: 4 (110 enodes) 1545733239.779 * * [misc]simplify: iters left: 3 (321 enodes) 1545733239.960 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1545733239.960 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733239.960 * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # 1545733239.961 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545733239.961 * * [misc]simplify: iters left: 5 (6 enodes) 1545733239.963 * * [misc]simplify: iters left: 4 (9 enodes) 1545733239.966 * * [misc]simplify: iters left: 3 (17 enodes) 1545733239.971 * * [misc]simplify: iters left: 2 (24 enodes) 1545733239.977 * * [misc]simplify: iters left: 1 (28 enodes) 1545733239.990 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545733239.990 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733239.990 * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # 1545733239.990 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545733239.990 * * [misc]simplify: iters left: 5 (6 enodes) 1545733239.992 * * [misc]simplify: iters left: 4 (9 enodes) 1545733239.996 * * [misc]simplify: iters left: 3 (17 enodes) 1545733240.000 * * [misc]simplify: iters left: 2 (24 enodes) 1545733240.003 * * [misc]simplify: iters left: 1 (28 enodes) 1545733240.010 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1545733240.010 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (fma k -1/2 1/2)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733240.011 * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # 1545733240.011 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1545733240.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545733240.011 * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # 1545733240.011 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1545733240.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545733240.011 * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # 1545733240.011 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1545733240.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545733240.011 * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # 1545733240.011 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow n 2) (pow PI 2))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* n PI))))))))))) 1545733240.012 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) +nan.0))) 1545733240.012 * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # 1545733240.012 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545733240.012 * * [misc]simplify: iters left: 6 (16 enodes) 1545733240.015 * * [misc]simplify: iters left: 5 (31 enodes) 1545733240.024 * * [misc]simplify: iters left: 4 (57 enodes) 1545733240.035 * * [misc]simplify: iters left: 3 (128 enodes) 1545733240.072 * * [misc]simplify: iters left: 2 (406 enodes) 1545733240.593 * [exit]simplify: Simplified to (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2))) 1545733240.593 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* n 2) (fma -1/2 k 1/2)) (pow PI (fma -1/2 k 1/2)))))) 1545733240.593 * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # 1545733240.593 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545733240.593 * * [misc]simplify: iters left: 6 (16 enodes) 1545733240.599 * * [misc]simplify: iters left: 5 (28 enodes) 1545733240.608 * * [misc]simplify: iters left: 4 (58 enodes) 1545733240.631 * * [misc]simplify: iters left: 3 (155 enodes) 1545733240.709 * [exit]simplify: Simplified to (* (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) (pow PI (fma -1/2 k 1/2))) 1545733240.709 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 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 (fma -1/2 k 1/2)))))) 1545733240.709 * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # 1545733240.709 * [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))))) 1545733240.710 * * [misc]simplify: iters left: 6 (35 enodes) 1545733240.724 * * [misc]simplify: iters left: 5 (102 enodes) 1545733240.753 * * [misc]simplify: iters left: 4 (321 enodes) 1545733240.914 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1545733240.914 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))))))) 1545733240.914 * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # 1545733240.914 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545733240.914 * * [misc]simplify: iters left: 6 (13 enodes) 1545733240.917 * * [misc]simplify: iters left: 5 (27 enodes) 1545733240.921 * * [misc]simplify: iters left: 4 (53 enodes) 1545733240.931 * * [misc]simplify: iters left: 3 (124 enodes) 1545733240.997 * * [misc]simplify: iters left: 2 (394 enodes) 1545733241.514 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1545733241.514 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (fma -1/2 k 1/2)))))) 1545733241.514 * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # 1545733241.514 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545733241.514 * * [misc]simplify: iters left: 6 (13 enodes) 1545733241.519 * * [misc]simplify: iters left: 5 (24 enodes) 1545733241.527 * * [misc]simplify: iters left: 4 (54 enodes) 1545733241.545 * * [misc]simplify: iters left: 3 (151 enodes) 1545733241.635 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1545733241.635 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))))))) 1545733241.635 * * * [misc]progress: adding candidates to table 1545733243.422 * * [misc]progress: iteration 4 / 4 1545733243.422 * * * [misc]progress: picking best candidate 1545733243.486 * * * * [misc]pick: Picked # 1545733243.486 * * * [misc]progress: localizing error 1545733243.508 * * * [misc]progress: generating rewritten candidates 1545733243.508 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1 2) 1545733243.516 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1 2) 1545733243.518 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1 1 2 2) 1545733243.519 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1 2 1) 1545733243.522 * * * [misc]progress: generating series expansions 1545733243.522 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1 2) 1545733243.522 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) into (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) 1545733243.522 * [misc]approximate: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in (k) around 0 1545733243.522 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in k 1545733243.522 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2)))) in k 1545733243.522 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2))) in k 1545733243.522 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.522 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.522 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 k)) 2)) in k 1545733243.522 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 2) in k 1545733243.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.523 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.523 * [misc]taylor: Taking taylor expansion of k in k 1545733243.523 * [misc]backup-simplify: Simplify 0 into 0 1545733243.523 * [misc]backup-simplify: Simplify 1 into 1 1545733243.523 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.523 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.523 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.524 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545733243.524 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.524 * [misc]backup-simplify: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 1545733243.525 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 1545733243.525 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 k)) 2) 1/3) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2)))) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 k)) 2))) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.525 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.525 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 k)) 2)) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 2) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.525 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.525 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.525 * [misc]taylor: Taking taylor expansion of k in k 1545733243.525 * [misc]backup-simplify: Simplify 0 into 0 1545733243.525 * [misc]backup-simplify: Simplify 1 into 1 1545733243.525 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.525 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.526 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.526 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545733243.526 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.526 * [misc]backup-simplify: Simplify (* 1/3 (log 1/4)) into (* 1/3 (log 1/4)) 1545733243.527 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/4))) into (pow 1/4 1/3) 1545733243.528 * [misc]backup-simplify: Simplify (pow 1/4 1/3) into (pow 1/4 1/3) 1545733243.528 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733243.529 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.529 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.529 * [misc]backup-simplify: Simplify (+ (* 1/2 -1/2) (* -1/2 1/2)) into -1/2 1545733243.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 1545733243.532 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log 1/4))) into -2/3 1545733243.534 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow 1/4 1/3)) 1545733243.535 * [misc]backup-simplify: Simplify (* -2/3 (pow 1/4 1/3)) into (* -2/3 (pow 1/4 1/3)) 1545733243.535 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733243.535 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.535 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.536 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 -1/2) (* 0 1/2))) into 1/4 1545733243.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545733243.540 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (log 1/4)))) into -1/3 1545733243.543 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/4))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow -1/3 1) 1)))) into (* -1/9 (pow 1/4 1/3)) 1545733243.543 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/4 1/3)) into (* -1/9 (pow 1/4 1/3)) 1545733243.545 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/4 1/3)) (pow k 2)) (+ (* (* -2/3 (pow 1/4 1/3)) k) (pow 1/4 1/3))) into (- (pow 1/4 1/3) (+ (* 2/3 (* (pow 1/4 1/3) k)) (* 1/9 (* (pow 1/4 1/3) (pow k 2))))) 1545733243.545 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ (/ 1 k) 2))) (cbrt (- 1/2 (/ (/ 1 k) 2)))) into (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) 1545733243.545 * [misc]approximate: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in (k) around 0 1545733243.545 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in k 1545733243.545 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)))) in k 1545733243.545 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2))) in k 1545733243.545 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.545 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.545 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)) in k 1545733243.545 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 2) in k 1545733243.545 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.546 * [misc]taylor: Taking taylor expansion of k in k 1545733243.546 * [misc]backup-simplify: Simplify 0 into 0 1545733243.546 * [misc]backup-simplify: Simplify 1 into 1 1545733243.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.546 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.546 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.546 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.547 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 1545733243.547 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.547 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.547 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545733243.548 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.548 * [misc]taylor: Taking taylor expansion of (pow (pow (- 1/2 (* 1/2 (/ 1 k))) 2) 1/3) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)))) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2))) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.548 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.548 * [misc]taylor: Taking taylor expansion of (log (pow (- 1/2 (* 1/2 (/ 1 k))) 2)) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 2) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.548 * [misc]taylor: Taking taylor expansion of k in k 1545733243.548 * [misc]backup-simplify: Simplify 0 into 0 1545733243.548 * [misc]backup-simplify: Simplify 1 into 1 1545733243.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.549 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.549 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.549 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 1545733243.549 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.550 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.550 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545733243.550 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.550 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.551 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.551 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.551 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.551 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.551 * [misc]backup-simplify: Simplify (+ (* -1/2 1/2) (* 1/2 -1/2)) into -1/2 1545733243.554 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/4 1)))) 1) into -2 1545733243.554 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.555 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (- (log 1/4) (* 2 (log k))))) into (- 2/3) 1545733243.556 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.557 * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.557 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.557 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.557 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.558 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 1/2) (* 0 -1/2))) into 1/4 1545733243.562 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545733243.563 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.563 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 -2) (* 0 (- (log 1/4) (* 2 (log k)))))) into (- 1/3) 1545733243.566 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow (- 2/3) 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.566 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.567 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k))))))) (pow (/ 1 k) 2)) (+ (* (* -2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k))))))) (/ 1 k)) (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))))) into (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) k)))) 1545733243.568 * [misc]backup-simplify: Simplify (* (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) (cbrt (- 1/2 (/ (/ 1 (- k)) 2)))) into (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) 1545733243.568 * [misc]approximate: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in (k) around 0 1545733243.568 * [misc]taylor: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)))) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2))) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.568 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.568 * [misc]taylor: Taking taylor expansion of (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.568 * [misc]taylor: Taking taylor expansion of k in k 1545733243.568 * [misc]backup-simplify: Simplify 0 into 0 1545733243.568 * [misc]backup-simplify: Simplify 1 into 1 1545733243.569 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.569 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.569 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545733243.569 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.570 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.570 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545733243.570 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.570 * [misc]taylor: Taking taylor expansion of (pow (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) 1/3) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)))) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2))) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.570 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.570 * [misc]taylor: Taking taylor expansion of (log (pow (+ (* 1/2 (/ 1 k)) 1/2) 2)) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 2) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.570 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.571 * [misc]taylor: Taking taylor expansion of k in k 1545733243.571 * [misc]backup-simplify: Simplify 0 into 0 1545733243.571 * [misc]backup-simplify: Simplify 1 into 1 1545733243.571 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.571 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.571 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.571 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 1545733243.571 * [misc]backup-simplify: Simplify (log 1/4) into (log 1/4) 1545733243.572 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.572 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/4) (* 2 (log k)))) into (* 1/3 (- (log 1/4) (* 2 (log k)))) 1545733243.572 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.572 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) into (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) 1545733243.572 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.573 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545733243.573 * [misc]backup-simplify: Simplify (+ (* 1/2 1/2) (* 1/2 1/2)) into 1/2 1545733243.574 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/4 1)))) 1) into 2 1545733243.575 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.575 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (- (log 1/4) (* 2 (log k))))) into 2/3 1545733243.576 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.576 * [misc]backup-simplify: Simplify (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.576 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.576 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.576 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 1/2) (* 0 1/2))) into 1/4 1545733243.579 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/4 2))) (* 1 (/ (* 1 (pow (* 2 1/4) 1)) (pow 1/4 1)))) 2) into -1 1545733243.580 * [misc]backup-simplify: Simplify (+ (* (- 2) (log k)) (log 1/4)) into (- (log 1/4) (* 2 (log k))) 1545733243.580 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (+ (* 0 2) (* 0 (- (log 1/4) (* 2 (log k)))))) into (- 1/3) 1545733243.581 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/4) (* 2 (log k))))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow (- 1/3) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.581 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) into (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log k)))))) 1545733243.582 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k)))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 2/3 (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k)))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 (- k))))))))) into (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) k)))) 1545733243.582 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1 2) 1545733243.582 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545733243.582 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545733243.582 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.582 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.582 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.582 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.582 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.582 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.583 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.583 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.583 * [misc]taylor: Taking taylor expansion of k in k 1545733243.583 * [misc]backup-simplify: Simplify 0 into 0 1545733243.583 * [misc]backup-simplify: Simplify 1 into 1 1545733243.583 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.583 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.583 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.583 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.583 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.584 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.584 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.584 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.584 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.584 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.584 * [misc]taylor: Taking taylor expansion of k in k 1545733243.584 * [misc]backup-simplify: Simplify 0 into 0 1545733243.584 * [misc]backup-simplify: Simplify 1 into 1 1545733243.584 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.584 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.584 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.588 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.589 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.589 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.589 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545733243.590 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733243.590 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.590 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.591 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545733243.591 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545733243.593 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545733243.593 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545733243.593 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733243.593 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.593 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.596 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.596 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545733243.597 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545733243.598 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545733243.599 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733243.599 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545733243.599 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545733243.599 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.599 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.599 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.599 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.599 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.599 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.599 * [misc]taylor: Taking taylor expansion of k in k 1545733243.599 * [misc]backup-simplify: Simplify 0 into 0 1545733243.599 * [misc]backup-simplify: Simplify 1 into 1 1545733243.599 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.599 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.599 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.600 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.600 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.600 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.600 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.600 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.600 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.600 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.600 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.600 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.600 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.600 * [misc]taylor: Taking taylor expansion of k in k 1545733243.600 * [misc]backup-simplify: Simplify 0 into 0 1545733243.600 * [misc]backup-simplify: Simplify 1 into 1 1545733243.601 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.601 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.601 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.601 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.601 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.601 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.601 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.602 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.602 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.602 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.602 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.602 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545733243.604 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.604 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545733243.605 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.606 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.606 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.606 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.606 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.609 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545733243.609 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.609 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545733243.611 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.611 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.612 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733243.612 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545733243.612 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545733243.612 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.612 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.612 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.612 * [misc]taylor: Taking taylor expansion of k in k 1545733243.612 * [misc]backup-simplify: Simplify 0 into 0 1545733243.612 * [misc]backup-simplify: Simplify 1 into 1 1545733243.612 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.612 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.612 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.612 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.612 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.613 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.613 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.613 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.613 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.613 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.613 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.613 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.613 * [misc]taylor: Taking taylor expansion of k in k 1545733243.613 * [misc]backup-simplify: Simplify 0 into 0 1545733243.613 * [misc]backup-simplify: Simplify 1 into 1 1545733243.613 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.613 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.614 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.614 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.614 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.614 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.614 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.615 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.615 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.615 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545733243.616 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545733243.617 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.617 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545733243.618 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.618 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.618 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.618 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.621 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.621 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.622 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545733243.623 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.623 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.624 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733243.624 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1 1 2 2) 1545733243.624 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545733243.624 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545733243.624 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.624 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.624 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.624 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.624 * [misc]taylor: Taking taylor expansion of k in k 1545733243.624 * [misc]backup-simplify: Simplify 0 into 0 1545733243.624 * [misc]backup-simplify: Simplify 1 into 1 1545733243.624 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.625 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.625 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.625 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.625 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.625 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.625 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.625 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.625 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.625 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.625 * [misc]taylor: Taking taylor expansion of k in k 1545733243.625 * [misc]backup-simplify: Simplify 0 into 0 1545733243.626 * [misc]backup-simplify: Simplify 1 into 1 1545733243.626 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.626 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.626 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.626 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.626 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.626 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.627 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545733243.627 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733243.627 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.627 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.629 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545733243.629 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545733243.630 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545733243.630 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545733243.630 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733243.630 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.631 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.633 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.633 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545733243.635 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545733243.635 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545733243.636 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733243.636 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545733243.636 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545733243.636 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.636 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.636 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.636 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.636 * [misc]taylor: Taking taylor expansion of k in k 1545733243.636 * [misc]backup-simplify: Simplify 0 into 0 1545733243.636 * [misc]backup-simplify: Simplify 1 into 1 1545733243.636 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.637 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.637 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.637 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.637 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.637 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.637 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.637 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.637 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.637 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.637 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.638 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.638 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.638 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.638 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.638 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.638 * [misc]taylor: Taking taylor expansion of k in k 1545733243.638 * [misc]backup-simplify: Simplify 0 into 0 1545733243.638 * [misc]backup-simplify: Simplify 1 into 1 1545733243.638 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.638 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.638 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.638 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.638 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.638 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.639 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.639 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.639 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.639 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.639 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.639 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.641 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545733243.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.641 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545733243.642 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.642 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.643 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.643 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.646 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545733243.646 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.646 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545733243.648 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.648 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.649 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733243.649 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545733243.649 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545733243.649 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.649 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.649 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.649 * [misc]taylor: Taking taylor expansion of k in k 1545733243.649 * [misc]backup-simplify: Simplify 0 into 0 1545733243.649 * [misc]backup-simplify: Simplify 1 into 1 1545733243.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.649 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.649 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.650 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.650 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.650 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.650 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.650 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.650 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.650 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.650 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.650 * [misc]taylor: Taking taylor expansion of k in k 1545733243.650 * [misc]backup-simplify: Simplify 0 into 0 1545733243.650 * [misc]backup-simplify: Simplify 1 into 1 1545733243.650 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.650 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.651 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.651 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.651 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.651 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.651 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.652 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.652 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.652 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545733243.655 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545733243.655 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.655 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545733243.656 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.657 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.657 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.657 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.657 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.661 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.662 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545733243.664 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.664 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.665 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733243.665 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1 2 1) 1545733243.666 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ k 2))) into (pow (- 1/2 (* 1/2 k)) 1/3) 1545733243.666 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in (k) around 0 1545733243.666 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.666 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.666 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.666 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.666 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.666 * [misc]taylor: Taking taylor expansion of k in k 1545733243.666 * [misc]backup-simplify: Simplify 0 into 0 1545733243.666 * [misc]backup-simplify: Simplify 1 into 1 1545733243.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.666 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.667 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.667 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.667 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.667 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 k)) 1/3) in k 1545733243.667 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 k))))) in k 1545733243.667 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 k)))) in k 1545733243.667 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.668 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.668 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 k))) in k 1545733243.668 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545733243.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.668 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545733243.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.668 * [misc]taylor: Taking taylor expansion of k in k 1545733243.668 * [misc]backup-simplify: Simplify 0 into 0 1545733243.668 * [misc]backup-simplify: Simplify 1 into 1 1545733243.668 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545733243.668 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.668 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.668 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.669 * [misc]backup-simplify: Simplify (* 1/3 (log 1/2)) into (* 1/3 (log 1/2)) 1545733243.669 * [misc]backup-simplify: Simplify (exp (* 1/3 (log 1/2))) into (pow 1/2 1/3) 1545733243.670 * [misc]backup-simplify: Simplify (pow 1/2 1/3) into (pow 1/2 1/3) 1545733243.670 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545733243.670 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.670 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.672 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1/2 1)))) 1) into -1 1545733243.672 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (log 1/2))) into -1/3 1545733243.673 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 1) 1)))) into (* -1/3 (pow 1/2 1/3)) 1545733243.674 * [misc]backup-simplify: Simplify (* -1/3 (pow 1/2 1/3)) into (* -1/3 (pow 1/2 1/3)) 1545733243.674 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545733243.674 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.676 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.677 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (log 1/2)))) into -1/6 1545733243.678 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log 1/2))) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into (* -1/9 (pow 1/2 1/3)) 1545733243.679 * [misc]backup-simplify: Simplify (* -1/9 (pow 1/2 1/3)) into (* -1/9 (pow 1/2 1/3)) 1545733243.679 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow 1/2 1/3)) (pow k 2)) (+ (* (* -1/3 (pow 1/2 1/3)) k) (pow 1/2 1/3))) into (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733243.680 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 k) 2))) into (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) 1545733243.680 * [misc]approximate: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in (k) around 0 1545733243.680 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.680 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.680 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.680 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.680 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.680 * [misc]taylor: Taking taylor expansion of k in k 1545733243.680 * [misc]backup-simplify: Simplify 0 into 0 1545733243.680 * [misc]backup-simplify: Simplify 1 into 1 1545733243.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.680 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.680 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.680 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.680 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.681 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.681 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.681 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.681 * [misc]taylor: Taking taylor expansion of (pow (- 1/2 (* 1/2 (/ 1 k))) 1/3) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1/2 (* 1/2 (/ 1 k))))) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.681 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.681 * [misc]taylor: Taking taylor expansion of (log (- 1/2 (* 1/2 (/ 1 k)))) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.681 * [misc]taylor: Taking taylor expansion of k in k 1545733243.681 * [misc]backup-simplify: Simplify 0 into 0 1545733243.681 * [misc]backup-simplify: Simplify 1 into 1 1545733243.681 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.681 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.682 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545733243.682 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545733243.682 * [misc]backup-simplify: Simplify (log -1/2) into (log -1/2) 1545733243.682 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.682 * [misc]backup-simplify: Simplify (* 1/3 (- (log -1/2) (log k))) into (* 1/3 (- (log -1/2) (log k))) 1545733243.682 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.682 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1/2) (log k)))) into (exp (* 1/3 (- (log -1/2) (log k)))) 1545733243.683 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.683 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.683 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.683 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.685 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow -1/2 1)))) 1) into -1 1545733243.685 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.685 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1/2) (log k)))) into (- 1/3) 1545733243.686 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.686 * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/3 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.687 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.687 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.687 * [misc]backup-simplify: Simplify (- 0) into 0 1545733243.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.689 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow -1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1/2 1)))) 2) into -1/2 1545733243.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log -1/2)) into (- (log -1/2) (log k)) 1545733243.690 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1/2) (log k))))) into (- 1/6) 1545733243.692 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1/2) (log k)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.692 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log -1/2) (log k))))) 1545733243.692 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (pow (/ 1 k) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1/2) (log (/ 1 k)))))) (/ 1 k)) (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))))) into (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733243.693 * [misc]backup-simplify: Simplify (cbrt (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) 1545733243.693 * [misc]approximate: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in (k) around 0 1545733243.693 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.693 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.693 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.693 * [misc]taylor: Taking taylor expansion of k in k 1545733243.693 * [misc]backup-simplify: Simplify 0 into 0 1545733243.693 * [misc]backup-simplify: Simplify 1 into 1 1545733243.693 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.693 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.693 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.693 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.694 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.694 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.694 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.694 * [misc]taylor: Taking taylor expansion of (pow (+ (* 1/2 (/ 1 k)) 1/2) 1/3) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of 1/3 in k 1545733243.694 * [misc]backup-simplify: Simplify 1/3 into 1/3 1545733243.694 * [misc]taylor: Taking taylor expansion of (log (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.694 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545733243.694 * [misc]taylor: Taking taylor expansion of k in k 1545733243.694 * [misc]backup-simplify: Simplify 0 into 0 1545733243.694 * [misc]backup-simplify: Simplify 1 into 1 1545733243.694 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545733243.694 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545733243.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545733243.695 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545733243.695 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545733243.695 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) 1545733243.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.696 * [misc]backup-simplify: Simplify (* 1/3 (- (log 1/2) (log k))) into (* 1/3 (- (log 1/2) (log k))) 1545733243.696 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.696 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log 1/2) (log k)))) into (exp (* 1/3 (- (log 1/2) (log k)))) 1545733243.696 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545733243.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545733243.698 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545733243.699 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1/2 1)))) 1) into 1 1545733243.700 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.700 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log 1/2) (log k)))) into 1/3 1545733243.701 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.701 * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) into (* 1/3 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.701 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545733243.701 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545733243.701 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545733243.704 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into -1/2 1545733243.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) (log 1/2)) into (- (log 1/2) (log k)) 1545733243.704 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log 1/2) (log k))))) into (- 1/6) 1545733243.706 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log 1/2) (log k)))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.706 * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) into (* -1/9 (exp (* 1/3 (- (log 1/2) (log k))))) 1545733243.707 * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (pow (/ 1 (- k)) 2)) (+ (* (* 1/3 (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k))))))) (/ 1 (- k))) (exp (* 1/3 (- (log 1/2) (log (/ 1 (- k)))))))) into (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733243.707 * * * [misc]progress: simplifying candidates 1545733243.707 * * * * [misc]progress: [ 1 / 95 ] simplifiying candidate # 1545733243.707 * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # 1545733243.707 * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # 1545733243.707 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545733243.707 * * [misc]simplify: iters left: 4 (5 enodes) 1545733243.708 * * [misc]simplify: iters left: 3 (7 enodes) 1545733243.709 * * [misc]simplify: iters left: 2 (10 enodes) 1545733243.710 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545733243.710 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (- 1/2 (/ k 2)) (+ 1/3 1/3))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.711 * [enter]simplify: Simplifying (+ 1/3 1/3) 1545733243.711 * * [misc]simplify: iters left: 2 (2 enodes) 1545733243.712 * * [misc]simplify: iters left: 1 (3 enodes) 1545733243.712 * [exit]simplify: Simplified to 2/3 1545733243.712 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (- 1/2 (/ k 2)) 2/3)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.712 * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # 1545733243.712 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733243.712 * * [misc]simplify: iters left: 5 (6 enodes) 1545733243.713 * * [misc]simplify: iters left: 4 (8 enodes) 1545733243.714 * * [misc]simplify: iters left: 3 (11 enodes) 1545733243.716 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733243.716 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) (+ 1 1))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.716 * [enter]simplify: Simplifying (+ 1 1) 1545733243.716 * * [misc]simplify: iters left: 2 (2 enodes) 1545733243.717 * * [misc]simplify: iters left: 1 (5 enodes) 1545733243.717 * [exit]simplify: Simplified to 2 1545733243.717 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) 2)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.717 * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # 1545733243.717 * [enter]simplify: Simplifying (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545733243.718 * * [misc]simplify: iters left: 6 (6 enodes) 1545733243.718 * * [misc]simplify: iters left: 5 (8 enodes) 1545733243.720 * * [misc]simplify: iters left: 4 (17 enodes) 1545733243.724 * * [misc]simplify: iters left: 3 (42 enodes) 1545733243.740 * * [misc]simplify: iters left: 2 (104 enodes) 1545733243.772 * * [misc]simplify: iters left: 1 (221 enodes) 1545733243.858 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545733243.858 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1/3)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.858 * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # 1545733243.859 * [enter]simplify: Simplifying (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1545733243.859 * * [misc]simplify: iters left: 6 (7 enodes) 1545733243.861 * * [misc]simplify: iters left: 5 (9 enodes) 1545733243.864 * * [misc]simplify: iters left: 4 (12 enodes) 1545733243.868 * [exit]simplify: Simplified to (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1545733243.868 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))) 1)) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.868 * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # 1545733243.868 * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # 1545733243.868 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733243.868 * * [misc]simplify: iters left: 5 (6 enodes) 1545733243.870 * * [misc]simplify: iters left: 4 (8 enodes) 1545733243.872 * * [misc]simplify: iters left: 3 (11 enodes) 1545733243.879 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733243.879 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (pow (cbrt (- 1/2 (/ k 2))) (+ 1 1))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.879 * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # 1545733243.879 * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # 1545733243.879 * [enter]simplify: Simplifying (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))) 1545733243.880 * * [misc]simplify: iters left: 6 (8 enodes) 1545733243.882 * * [misc]simplify: iters left: 5 (10 enodes) 1545733243.885 * * [misc]simplify: iters left: 4 (13 enodes) 1545733243.888 * [exit]simplify: Simplified to (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))) 1545733243.888 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (exp (+ (log (cbrt (- 1/2 (/ k 2)))) (log (cbrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733243.888 * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # 1545733243.888 * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # 1545733243.889 * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # 1545733243.889 * [enter]simplify: Simplifying (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545733243.889 * * [misc]simplify: iters left: 6 (6 enodes) 1545733243.891 * * [misc]simplify: iters left: 5 (8 enodes) 1545733243.893 * * [misc]simplify: iters left: 4 (17 enodes) 1545733243.901 * * [misc]simplify: iters left: 3 (42 enodes) 1545733243.911 * * [misc]simplify: iters left: 2 (104 enodes) 1545733243.933 * * [misc]simplify: iters left: 1 (221 enodes) 1545733244.084 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) 1545733244.084 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (cbrt (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.084 * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # 1545733244.084 * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # 1545733244.084 * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # 1545733244.084 * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # 1545733244.085 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) 1545733244.085 * * [misc]simplify: iters left: 6 (10 enodes) 1545733244.091 * * [misc]simplify: iters left: 5 (24 enodes) 1545733244.097 * * [misc]simplify: iters left: 4 (43 enodes) 1545733244.112 * * [misc]simplify: iters left: 3 (92 enodes) 1545733244.145 * * [misc]simplify: iters left: 2 (162 enodes) 1545733244.205 * * [misc]simplify: iters left: 1 (275 enodes) 1545733244.301 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (* (/ k 8) (* k k)))) (cbrt (- 1/8 (* (/ k 8) (* k k))))) 1545733244.301 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (* (/ k 8) (* k k)))) (cbrt (- 1/8 (* (/ k 8) (* k k))))) (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.301 * [enter]simplify: Simplifying (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) 1545733244.301 * * [misc]simplify: iters left: 6 (11 enodes) 1545733244.306 * * [misc]simplify: iters left: 5 (27 enodes) 1545733244.313 * * [misc]simplify: iters left: 4 (46 enodes) 1545733244.323 * * [misc]simplify: iters left: 3 (66 enodes) 1545733244.332 * * [misc]simplify: iters left: 2 (87 enodes) 1545733244.342 * * [misc]simplify: iters left: 1 (116 enodes) 1545733244.371 * [exit]simplify: Simplified to (* (cbrt (fma k (fma 1/4 k 1/4) 1/4)) (cbrt (fma k (fma 1/4 k 1/4) 1/4))) 1545733244.371 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) (* (cbrt (fma k (fma 1/4 k 1/4) 1/4)) (cbrt (fma k (fma 1/4 k 1/4) 1/4))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.372 * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # 1545733244.372 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) 1545733244.372 * * [misc]simplify: iters left: 6 (14 enodes) 1545733244.376 * * [misc]simplify: iters left: 5 (37 enodes) 1545733244.381 * * [misc]simplify: iters left: 4 (73 enodes) 1545733244.398 * * [misc]simplify: iters left: 3 (145 enodes) 1545733244.441 * * [misc]simplify: iters left: 2 (287 enodes) 1545733244.568 * [exit]simplify: Simplified to (* (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (- 1/8 (* (/ k 8) (* k k))))) 1545733244.569 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (- 1/8 (* (/ k 8) (* k k))))) (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.569 * [enter]simplify: Simplifying (* (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) (cbrt (+ 1/2 (/ k 2)))) 1545733244.569 * * [misc]simplify: iters left: 6 (13 enodes) 1545733244.572 * * [misc]simplify: iters left: 5 (30 enodes) 1545733244.577 * * [misc]simplify: iters left: 4 (43 enodes) 1545733244.583 * * [misc]simplify: iters left: 3 (57 enodes) 1545733244.594 * * [misc]simplify: iters left: 2 (68 enodes) 1545733244.602 * * [misc]simplify: iters left: 1 (77 enodes) 1545733244.610 * [exit]simplify: Simplified to (* (cbrt (+ 1/2 (/ k 2))) (cbrt (fma (/ k 4) k (fma 1/4 k 1/4)))) 1545733244.610 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (- 1/8 (* (/ k 8) (* k k))))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (fma (/ k 4) k (fma 1/4 k 1/4)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.610 * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # 1545733244.610 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) 1545733244.611 * * [misc]simplify: iters left: 6 (14 enodes) 1545733244.615 * * [misc]simplify: iters left: 5 (37 enodes) 1545733244.621 * * [misc]simplify: iters left: 4 (73 enodes) 1545733244.635 * * [misc]simplify: iters left: 3 (145 enodes) 1545733244.663 * * [misc]simplify: iters left: 2 (287 enodes) 1545733244.761 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (fma (/ k 4) (- k) 1/4))) 1545733244.761 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (fma (/ k 4) (- k) 1/4))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.761 * [enter]simplify: Simplifying (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) 1545733244.761 * * [misc]simplify: iters left: 6 (13 enodes) 1545733244.764 * * [misc]simplify: iters left: 5 (30 enodes) 1545733244.769 * * [misc]simplify: iters left: 4 (44 enodes) 1545733244.782 * * [misc]simplify: iters left: 3 (57 enodes) 1545733244.797 * * [misc]simplify: iters left: 2 (68 enodes) 1545733244.811 * * [misc]simplify: iters left: 1 (77 enodes) 1545733244.826 * [exit]simplify: Simplified to (* (cbrt (+ (/ k 2) 1/2)) (cbrt (fma (/ k 4) k (fma 1/4 k 1/4)))) 1545733244.826 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (/ (* k k) (/ 8 k)))) (cbrt (fma (/ k 4) (- k) 1/4))) (* (cbrt (+ (/ k 2) 1/2)) (cbrt (fma (/ k 4) k (fma 1/4 k 1/4)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733244.826 * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # 1545733244.827 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) 1545733244.827 * * [misc]simplify: iters left: 6 (9 enodes) 1545733244.830 * * [misc]simplify: iters left: 5 (20 enodes) 1545733244.836 * * [misc]simplify: iters left: 4 (36 enodes) 1545733244.846 * * [misc]simplify: iters left: 3 (69 enodes) 1545733244.869 * * [misc]simplify: iters left: 2 (126 enodes) 1545733244.915 * * [misc]simplify: iters left: 1 (259 enodes) 1545733245.030 * [exit]simplify: Simplified to (* (cbrt (fma (- k) (/ k 4) 1/4)) (cbrt (fma (- k) (/ k 4) 1/4))) 1545733245.030 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (fma (- k) (/ k 4) 1/4)) (cbrt (fma (- k) (/ k 4) 1/4))) (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.031 * [enter]simplify: Simplifying (* (cbrt (+ 1/2 (/ k 2))) (cbrt (+ 1/2 (/ k 2)))) 1545733245.031 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.033 * * [misc]simplify: iters left: 5 (8 enodes) 1545733245.036 * [exit]simplify: Simplified to (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (/ k 2) 1/2))) 1545733245.036 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (fma (- k) (/ k 4) 1/4)) (cbrt (fma (- k) (/ k 4) 1/4))) (* (cbrt (+ (/ k 2) 1/2)) (cbrt (+ (/ k 2) 1/2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.036 * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # 1545733245.036 * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # 1545733245.036 * [enter]simplify: Simplifying (cbrt (cbrt (- 1/2 (/ k 2)))) 1545733245.036 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.038 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.041 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.044 * [exit]simplify: Simplified to (cbrt (cbrt (- 1/2 (/ k 2)))) 1545733245.044 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.044 * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # 1545733245.045 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.045 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.047 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.049 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.052 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.052 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt (sqrt (- 1/2 (/ k 2))))) (cbrt (sqrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.052 * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # 1545733245.052 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733245.052 * * [misc]simplify: iters left: 5 (6 enodes) 1545733245.054 * * [misc]simplify: iters left: 4 (8 enodes) 1545733245.056 * * [misc]simplify: iters left: 3 (11 enodes) 1545733245.059 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733245.059 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (cbrt 1)) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.059 * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # 1545733245.059 * [enter]simplify: Simplifying (cbrt (cbrt (- 1/2 (/ k 2)))) 1545733245.059 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.061 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.063 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.065 * [exit]simplify: Simplified to (cbrt (cbrt (- 1/2 (/ k 2)))) 1545733245.066 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.066 * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # 1545733245.066 * [enter]simplify: Simplifying (sqrt (cbrt (- 1/2 (/ k 2)))) 1545733245.066 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.068 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.070 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.073 * [exit]simplify: Simplified to (sqrt (cbrt (- 1/2 (/ k 2)))) 1545733245.073 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) (sqrt (cbrt (- 1/2 (/ k 2))))) (sqrt (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.073 * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # 1545733245.073 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545733245.073 * * [misc]simplify: iters left: 5 (6 enodes) 1545733245.075 * * [misc]simplify: iters left: 4 (8 enodes) 1545733245.077 * * [misc]simplify: iters left: 3 (11 enodes) 1545733245.079 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545733245.079 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (- 1/2 (/ k 2))) 1) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.079 * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # 1545733245.079 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733245.079 * * [misc]simplify: iters left: 6 (8 enodes) 1545733245.081 * * [misc]simplify: iters left: 5 (10 enodes) 1545733245.084 * * [misc]simplify: iters left: 4 (13 enodes) 1545733245.087 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733245.087 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.087 * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # 1545733245.087 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.088 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.089 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.092 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.094 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.094 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (sqrt (- 1/2 (/ k 2)))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.094 * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # 1545733245.095 * [enter]simplify: Simplifying (cbrt 1) 1545733245.095 * * [misc]simplify: iters left: 1 (2 enodes) 1545733245.096 * [exit]simplify: Simplified to 1 1545733245.096 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* 1 (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.096 * * * * [misc]progress: [ 31 / 95 ] simplifiying candidate # 1545733245.097 * [enter]simplify: Simplifying (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) 1545733245.097 * * [misc]simplify: iters left: 6 (8 enodes) 1545733245.101 * * [misc]simplify: iters left: 5 (10 enodes) 1545733245.104 * * [misc]simplify: iters left: 4 (13 enodes) 1545733245.107 * [exit]simplify: Simplified to (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) 1545733245.107 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (cbrt (- 1/2 (/ k 2))))) (* (cbrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.107 * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # 1545733245.107 * [enter]simplify: Simplifying (sqrt (cbrt (- 1/2 (/ k 2)))) 1545733245.107 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.109 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.111 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.114 * [exit]simplify: Simplified to (sqrt (cbrt (- 1/2 (/ k 2)))) 1545733245.114 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (sqrt (cbrt (- 1/2 (/ k 2)))) (* (sqrt (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.114 * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # 1545733245.114 * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # 1545733245.114 * [enter]simplify: Simplifying (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))) 1545733245.114 * * [misc]simplify: iters left: 6 (10 enodes) 1545733245.118 * * [misc]simplify: iters left: 5 (26 enodes) 1545733245.125 * * [misc]simplify: iters left: 4 (45 enodes) 1545733245.137 * * [misc]simplify: iters left: 3 (65 enodes) 1545733245.152 * * [misc]simplify: iters left: 2 (86 enodes) 1545733245.163 * * [misc]simplify: iters left: 1 (113 enodes) 1545733245.189 * [exit]simplify: Simplified to (cbrt (fma k (fma k 1/4 1/4) 1/4)) 1545733245.189 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- (pow 1/2 3) (pow (/ k 2) 3)))) (cbrt (fma k (fma k 1/4 1/4) 1/4)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.189 * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # 1545733245.189 * [enter]simplify: Simplifying (cbrt (+ 1/2 (/ k 2))) 1545733245.189 * * [misc]simplify: iters left: 5 (6 enodes) 1545733245.191 * * [misc]simplify: iters left: 4 (7 enodes) 1545733245.193 * [exit]simplify: Simplified to (cbrt (+ (/ k 2) 1/2)) 1545733245.193 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2))))) (cbrt (+ (/ k 2) 1/2)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.193 * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # 1545733245.193 * [enter]simplify: Simplifying (* (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) (cbrt (- 1/2 (/ k 2)))) 1545733245.193 * * [misc]simplify: iters left: 6 (12 enodes) 1545733245.200 * * [misc]simplify: iters left: 5 (29 enodes) 1545733245.207 * * [misc]simplify: iters left: 4 (50 enodes) 1545733245.217 * * [misc]simplify: iters left: 3 (97 enodes) 1545733245.233 * * [misc]simplify: iters left: 2 (170 enodes) 1545733245.266 * * [misc]simplify: iters left: 1 (291 enodes) 1545733245.382 * [exit]simplify: Simplified to (* (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (- 1/2 (/ k 2)))) 1545733245.382 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/8 (* (* k k) (/ k 8)))) (cbrt (- 1/2 (/ k 2)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.382 * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # 1545733245.382 * [enter]simplify: Simplifying (* (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (cbrt (- 1/2 (/ k 2)))) 1545733245.382 * * [misc]simplify: iters left: 6 (11 enodes) 1545733245.387 * * [misc]simplify: iters left: 5 (24 enodes) 1545733245.394 * * [misc]simplify: iters left: 4 (47 enodes) 1545733245.409 * * [misc]simplify: iters left: 3 (95 enodes) 1545733245.443 * * [misc]simplify: iters left: 2 (200 enodes) 1545733245.533 * * [misc]simplify: iters left: 1 (352 enodes) 1545733245.773 * [exit]simplify: Simplified to (* (cbrt (- 1/2 (/ k 2))) (cbrt (fma (- k) (* 1/4 k) 1/4))) 1545733245.773 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (/ (* (cbrt (- 1/2 (/ k 2))) (cbrt (fma (- k) (* 1/4 k) 1/4))) (cbrt (+ 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.773 * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # 1545733245.773 * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # 1545733245.773 * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # 1545733245.773 * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # 1545733245.774 * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # 1545733245.774 * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # 1545733245.774 * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # 1545733245.774 * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # 1545733245.774 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733245.774 * * [misc]simplify: iters left: 6 (8 enodes) 1545733245.777 * * [misc]simplify: iters left: 5 (10 enodes) 1545733245.780 * * [misc]simplify: iters left: 4 (13 enodes) 1545733245.782 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733245.782 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.782 * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # 1545733245.782 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.782 * * [misc]simplify: iters left: 6 (7 enodes) 1545733245.783 * * [misc]simplify: iters left: 5 (9 enodes) 1545733245.785 * * [misc]simplify: iters left: 4 (12 enodes) 1545733245.786 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733245.786 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.786 * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # 1545733245.786 * [enter]simplify: Simplifying (cbrt 1) 1545733245.787 * * [misc]simplify: iters left: 1 (2 enodes) 1545733245.787 * [exit]simplify: Simplified to 1 1545733245.787 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (* 1 (cbrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.788 * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # 1545733245.788 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545733245.788 * * [misc]simplify: iters left: 6 (9 enodes) 1545733245.791 * * [misc]simplify: iters left: 5 (23 enodes) 1545733245.794 * * [misc]simplify: iters left: 4 (42 enodes) 1545733245.800 * * [misc]simplify: iters left: 3 (89 enodes) 1545733245.814 * * [misc]simplify: iters left: 2 (159 enodes) 1545733245.861 * * [misc]simplify: iters left: 1 (272 enodes) 1545733245.943 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (/ k 8) (* k k)))) 1545733245.943 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (/ (cbrt (- 1/8 (* (/ k 8) (* k k)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2))))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733245.944 * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # 1545733245.944 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545733245.944 * * [misc]simplify: iters left: 6 (8 enodes) 1545733245.946 * * [misc]simplify: iters left: 5 (19 enodes) 1545733245.949 * * [misc]simplify: iters left: 4 (35 enodes) 1545733245.956 * * [misc]simplify: iters left: 3 (68 enodes) 1545733245.975 * * [misc]simplify: iters left: 2 (125 enodes) 1545733246.007 * * [misc]simplify: iters left: 1 (258 enodes) 1545733246.084 * [exit]simplify: Simplified to (cbrt (fma (/ k 4) (- k) 1/4)) 1545733246.084 * [misc]simplify: Simplified (2 2 2 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (/ (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (+ 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.084 * * * * [misc]progress: [ 50 / 95 ] simplifiying candidate # 1545733246.084 * * * * [misc]progress: [ 51 / 95 ] simplifiying candidate # 1545733246.084 * * * * [misc]progress: [ 52 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 53 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 54 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 55 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 56 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # 1545733246.085 * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # 1545733246.085 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733246.085 * * [misc]simplify: iters left: 6 (8 enodes) 1545733246.086 * * [misc]simplify: iters left: 5 (10 enodes) 1545733246.088 * * [misc]simplify: iters left: 4 (13 enodes) 1545733246.089 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733246.090 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.090 * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # 1545733246.090 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733246.090 * * [misc]simplify: iters left: 6 (7 enodes) 1545733246.091 * * [misc]simplify: iters left: 5 (9 enodes) 1545733246.092 * * [misc]simplify: iters left: 4 (12 enodes) 1545733246.094 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733246.094 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.094 * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # 1545733246.094 * [enter]simplify: Simplifying (cbrt 1) 1545733246.094 * * [misc]simplify: iters left: 1 (2 enodes) 1545733246.095 * [exit]simplify: Simplified to 1 1545733246.095 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (* 1 (cbrt (- 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.095 * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # 1545733246.095 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545733246.095 * * [misc]simplify: iters left: 6 (9 enodes) 1545733246.098 * * [misc]simplify: iters left: 5 (23 enodes) 1545733246.101 * * [misc]simplify: iters left: 4 (42 enodes) 1545733246.111 * * [misc]simplify: iters left: 3 (89 enodes) 1545733246.134 * * [misc]simplify: iters left: 2 (159 enodes) 1545733246.189 * * [misc]simplify: iters left: 1 (272 enodes) 1545733246.338 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (/ k 8) (* k k)))) 1545733246.339 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (/ (cbrt (- 1/8 (* (/ k 8) (* k k)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.339 * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # 1545733246.339 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545733246.339 * * [misc]simplify: iters left: 6 (8 enodes) 1545733246.343 * * [misc]simplify: iters left: 5 (19 enodes) 1545733246.346 * * [misc]simplify: iters left: 4 (35 enodes) 1545733246.351 * * [misc]simplify: iters left: 3 (68 enodes) 1545733246.362 * * [misc]simplify: iters left: 2 (125 enodes) 1545733246.397 * * [misc]simplify: iters left: 1 (258 enodes) 1545733246.532 * [exit]simplify: Simplified to (cbrt (fma (/ k 4) (- k) 1/4)) 1545733246.533 * [misc]simplify: Simplified (2 2 2 1 1 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (/ (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (+ 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.533 * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 68 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # 1545733246.533 * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # 1545733246.534 * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733246.534 * * [misc]simplify: iters left: 6 (8 enodes) 1545733246.536 * * [misc]simplify: iters left: 5 (10 enodes) 1545733246.539 * * [misc]simplify: iters left: 4 (13 enodes) 1545733246.543 * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) 1545733246.543 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.543 * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # 1545733246.543 * [enter]simplify: Simplifying (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733246.543 * * [misc]simplify: iters left: 6 (7 enodes) 1545733246.545 * * [misc]simplify: iters left: 5 (9 enodes) 1545733246.548 * * [misc]simplify: iters left: 4 (12 enodes) 1545733246.551 * [exit]simplify: Simplified to (cbrt (sqrt (- 1/2 (/ k 2)))) 1545733246.551 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* (cbrt (sqrt (- 1/2 (/ k 2)))) (cbrt (sqrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.551 * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # 1545733246.551 * [enter]simplify: Simplifying (cbrt 1) 1545733246.551 * * [misc]simplify: iters left: 1 (2 enodes) 1545733246.553 * [exit]simplify: Simplified to 1 1545733246.553 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (* 1 (cbrt (- 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.553 * * * * [misc]progress: [ 78 / 95 ] simplifiying candidate # 1545733246.553 * [enter]simplify: Simplifying (cbrt (- (pow 1/2 3) (pow (/ k 2) 3))) 1545733246.553 * * [misc]simplify: iters left: 6 (9 enodes) 1545733246.558 * * [misc]simplify: iters left: 5 (23 enodes) 1545733246.564 * * [misc]simplify: iters left: 4 (42 enodes) 1545733246.578 * * [misc]simplify: iters left: 3 (89 enodes) 1545733246.604 * * [misc]simplify: iters left: 2 (159 enodes) 1545733246.669 * * [misc]simplify: iters left: 1 (272 enodes) 1545733246.817 * [exit]simplify: Simplified to (cbrt (- 1/8 (* (/ k 8) (* k k)))) 1545733246.817 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (/ (cbrt (- 1/8 (* (/ k 8) (* k k)))) (cbrt (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733246.817 * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # 1545733246.817 * [enter]simplify: Simplifying (cbrt (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) 1545733246.818 * * [misc]simplify: iters left: 6 (8 enodes) 1545733246.821 * * [misc]simplify: iters left: 5 (19 enodes) 1545733246.827 * * [misc]simplify: iters left: 4 (35 enodes) 1545733246.838 * * [misc]simplify: iters left: 3 (68 enodes) 1545733246.860 * * [misc]simplify: iters left: 2 (125 enodes) 1545733246.916 * * [misc]simplify: iters left: 1 (258 enodes) 1545733247.008 * [exit]simplify: Simplified to (cbrt (fma (/ k 4) (- k) 1/4)) 1545733247.008 * [misc]simplify: Simplified (2 2 2 1 1 2 1 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (/ (cbrt (fma (/ k 4) (- k) 1/4)) (cbrt (+ 1/2 (/ k 2)))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733247.008 * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # 1545733247.008 * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # 1545733247.008 * * * * [misc]progress: [ 82 / 95 ] simplifiying candidate # 1545733247.009 * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # 1545733247.009 * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # 1545733247.009 * [enter]simplify: Simplifying (- (pow 1/4 1/3) (+ (* 2/3 (* (pow 1/4 1/3) k)) (* 1/9 (* (pow 1/4 1/3) (pow k 2))))) 1545733247.009 * * [misc]simplify: iters left: 6 (14 enodes) 1545733247.012 * * [misc]simplify: iters left: 5 (30 enodes) 1545733247.018 * * [misc]simplify: iters left: 4 (59 enodes) 1545733247.030 * * [misc]simplify: iters left: 3 (138 enodes) 1545733247.087 * * [misc]simplify: iters left: 2 (369 enodes) 1545733247.257 * [exit]simplify: Simplified to (fma (- (cbrt 1/4)) (* (fma k 1/9 2/3) k) (cbrt 1/4)) 1545733247.257 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (fma (- (cbrt 1/4)) (* (fma k 1/9 2/3) k) (cbrt 1/4))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733247.257 * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # 1545733247.257 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ 1 k)))))) k)))) 1545733247.258 * * [misc]simplify: iters left: 6 (21 enodes) 1545733247.262 * * [misc]simplify: iters left: 5 (46 enodes) 1545733247.270 * * [misc]simplify: iters left: 4 (88 enodes) 1545733247.290 * * [misc]simplify: iters left: 3 (170 enodes) 1545733247.338 * * [misc]simplify: iters left: 2 (360 enodes) 1545733247.501 * [exit]simplify: Simplified to (fma (* (/ (cbrt 1/4) k) (pow k 2/3)) (+ (/ -1/9 k) -2/3) (* (pow k 2/3) (cbrt 1/4))) 1545733247.501 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (fma (* (/ (cbrt 1/4) k) (pow k 2/3)) (+ (/ -1/9 k) -2/3) (* (pow k 2/3) (cbrt 1/4)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733247.502 * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # 1545733247.502 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) (pow k 2))) (* 2/3 (/ (exp (* 1/3 (- (log 1/4) (* 2 (log (/ -1 k)))))) k)))) 1545733247.502 * * [misc]simplify: iters left: 6 (21 enodes) 1545733247.518 * * [misc]simplify: iters left: 5 (43 enodes) 1545733247.529 * * [misc]simplify: iters left: 4 (83 enodes) 1545733247.551 * * [misc]simplify: iters left: 3 (173 enodes) 1545733247.596 * * [misc]simplify: iters left: 2 (399 enodes) 1545733247.781 * [exit]simplify: Simplified to (fma (* (/ (cbrt 1/4) k) (pow (/ -1 k) -2/3)) (+ -2/3 (/ -1/9 k)) (* (cbrt 1/4) (pow (/ -1 k) -2/3))) 1545733247.781 * [misc]simplify: Simplified (2 2 2 1 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (fma (* (/ (cbrt 1/4) k) (pow (/ -1 k) -2/3)) (+ -2/3 (/ -1/9 k)) (* (cbrt 1/4) (pow (/ -1 k) -2/3)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733247.781 * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # 1545733247.781 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733247.781 * * [misc]simplify: iters left: 6 (13 enodes) 1545733247.785 * * [misc]simplify: iters left: 5 (29 enodes) 1545733247.796 * * [misc]simplify: iters left: 4 (58 enodes) 1545733247.823 * * [misc]simplify: iters left: 3 (137 enodes) 1545733247.908 * * [misc]simplify: iters left: 2 (381 enodes) 1545733248.167 * [exit]simplify: Simplified to (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2)) 1545733248.167 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733248.168 * * * * [misc]progress: [ 88 / 95 ] simplifiying candidate # 1545733248.168 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733248.168 * * [misc]simplify: iters left: 6 (19 enodes) 1545733248.176 * * [misc]simplify: iters left: 5 (43 enodes) 1545733248.194 * * [misc]simplify: iters left: 4 (74 enodes) 1545733248.219 * * [misc]simplify: iters left: 3 (143 enodes) 1545733248.269 * * [misc]simplify: iters left: 2 (299 enodes) 1545733248.452 * [exit]simplify: Simplified to (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2))) 1545733248.452 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733248.453 * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # 1545733248.453 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733248.453 * * [misc]simplify: iters left: 6 (19 enodes) 1545733248.461 * * [misc]simplify: iters left: 5 (40 enodes) 1545733248.474 * * [misc]simplify: iters left: 4 (75 enodes) 1545733248.498 * * [misc]simplify: iters left: 3 (153 enodes) 1545733248.555 * * [misc]simplify: iters left: 2 (346 enodes) 1545733248.791 * [exit]simplify: Simplified to (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3))) 1545733248.791 * [misc]simplify: Simplified (2 2 2 1 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733248.791 * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # 1545733248.791 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733248.791 * * [misc]simplify: iters left: 6 (13 enodes) 1545733248.801 * * [misc]simplify: iters left: 5 (29 enodes) 1545733248.812 * * [misc]simplify: iters left: 4 (58 enodes) 1545733248.835 * * [misc]simplify: iters left: 3 (137 enodes) 1545733248.884 * * [misc]simplify: iters left: 2 (381 enodes) 1545733249.066 * [exit]simplify: Simplified to (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2)) 1545733249.066 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2)))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733249.066 * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # 1545733249.066 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733249.067 * * [misc]simplify: iters left: 6 (19 enodes) 1545733249.075 * * [misc]simplify: iters left: 5 (43 enodes) 1545733249.089 * * [misc]simplify: iters left: 4 (74 enodes) 1545733249.111 * * [misc]simplify: iters left: 3 (143 enodes) 1545733249.137 * * [misc]simplify: iters left: 2 (299 enodes) 1545733249.268 * [exit]simplify: Simplified to (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2))) 1545733249.268 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733249.268 * * * * [misc]progress: [ 92 / 95 ] simplifiying candidate # 1545733249.268 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733249.268 * * [misc]simplify: iters left: 6 (19 enodes) 1545733249.273 * * [misc]simplify: iters left: 5 (40 enodes) 1545733249.280 * * [misc]simplify: iters left: 4 (75 enodes) 1545733249.294 * * [misc]simplify: iters left: 3 (153 enodes) 1545733249.328 * * [misc]simplify: iters left: 2 (346 enodes) 1545733249.515 * [exit]simplify: Simplified to (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3))) 1545733249.515 * [misc]simplify: Simplified (2 2 2 1 1 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733249.515 * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # 1545733249.515 * [enter]simplify: Simplifying (- (pow 1/2 1/3) (+ (* 1/3 (* (pow 1/2 1/3) k)) (* 1/9 (* (pow 1/2 1/3) (pow k 2))))) 1545733249.516 * * [misc]simplify: iters left: 6 (13 enodes) 1545733249.522 * * [misc]simplify: iters left: 5 (29 enodes) 1545733249.533 * * [misc]simplify: iters left: 4 (58 enodes) 1545733249.557 * * [misc]simplify: iters left: 3 (137 enodes) 1545733249.608 * * [misc]simplify: iters left: 2 (381 enodes) 1545733249.834 * [exit]simplify: Simplified to (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2)) 1545733249.835 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (fma (- k) (* (fma k 1/9 1/3) (cbrt 1/2)) (cbrt 1/2)) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733249.835 * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # 1545733249.835 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log -1/2) (log (/ 1 k))))) (pow k 2))))) 1545733249.835 * * [misc]simplify: iters left: 6 (19 enodes) 1545733249.843 * * [misc]simplify: iters left: 5 (43 enodes) 1545733249.857 * * [misc]simplify: iters left: 4 (74 enodes) 1545733249.873 * * [misc]simplify: iters left: 3 (143 enodes) 1545733249.899 * * [misc]simplify: iters left: 2 (299 enodes) 1545733250.117 * [exit]simplify: Simplified to (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2))) 1545733250.117 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (fma (/ (cbrt (* k -1/2)) k) (+ -1/3 (/ -1/9 k)) (cbrt (* k -1/2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733250.117 * * * * [misc]progress: [ 95 / 95 ] simplifiying candidate # 1545733250.117 * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) k)) (* 1/9 (/ (exp (* 1/3 (- (log 1/2) (log (/ -1 k))))) (pow k 2))))) 1545733250.118 * * [misc]simplify: iters left: 6 (19 enodes) 1545733250.125 * * [misc]simplify: iters left: 5 (40 enodes) 1545733250.137 * * [misc]simplify: iters left: 4 (75 enodes) 1545733250.164 * * [misc]simplify: iters left: 3 (153 enodes) 1545733250.224 * * [misc]simplify: iters left: 2 (346 enodes) 1545733250.413 * [exit]simplify: Simplified to (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3))) 1545733250.413 * [misc]simplify: Simplified (2 2 2 1 1 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (pow PI (* (fma (* (/ (cbrt 1/2) k) (pow (/ -1 k) -1/3)) (- (/ -1/9 k) 1/3) (* (cbrt 1/2) (pow (/ -1 k) -1/3))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545733250.413 * * * [misc]progress: adding candidates to table 1545733252.357 * [misc]progress: [Phase 3 of 3] Extracting. 1545733252.357 * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) 1545733252.359 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545733252.359 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # #) 1545733252.422 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # #) 1545733252.511 * * * [misc]regime: Found split indices: #