1545556578.915 * [misc]progress: [Phase 1 of 3] Setting up. 1545556578.915 * * * [misc]progress: [1/2] Preparing points 1545556578.915 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545556579.027 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.027 * * * * [misc]points: Sampling 196 additional inputs, on iter 1 have 60 / 256 1545556579.125 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.125 * * * * [misc]points: Sampling 148 additional inputs, on iter 2 have 108 / 256 1545556579.191 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.191 * * * * [misc]points: Sampling 109 additional inputs, on iter 3 have 147 / 256 1545556579.241 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.241 * * * * [misc]points: Sampling 75 additional inputs, on iter 4 have 181 / 256 1545556579.334 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.334 * * * * [misc]points: Sampling 62 additional inputs, on iter 5 have 194 / 256 1545556579.365 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.365 * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 1545556579.387 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.387 * * * * [misc]points: Sampling 32 additional inputs, on iter 7 have 224 / 256 1545556579.404 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.404 * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 232 / 256 1545556579.411 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.411 * * * * [misc]points: Sampling 16 additional inputs, on iter 9 have 240 / 256 1545556579.416 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.416 * * * * [misc]points: Sampling 13 additional inputs, on iter 10 have 243 / 256 1545556579.421 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.421 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1545556579.425 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.425 * * * * [misc]points: Sampling 12 additional inputs, on iter 12 have 244 / 256 1545556579.430 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.430 * * * * [misc]points: Sampling 8 additional inputs, on iter 13 have 248 / 256 1545556579.433 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.433 * * * * [misc]points: Sampling 5 additional inputs, on iter 14 have 251 / 256 1545556579.436 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.436 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1545556579.439 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.439 * * * * [misc]points: Sampling 5 additional inputs, on iter 16 have 251 / 256 1545556579.442 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.442 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 254 / 256 1545556579.444 * * * * [misc]points: Filtering points with unrepresentable outputs 1545556579.444 * * * * [exit]points: Sampled 257 points with exact outputs 1545556579.445 * * * [misc]progress: [2/2] Setting up program. 1545556579.448 * [misc]progress: [Phase 2 of 3] Improving. 1545556579.448 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545556579.448 * * [misc]simplify: iters left: 6 (13 enodes) 1545556579.480 * * [misc]simplify: iters left: 5 (28 enodes) 1545556579.484 * * [misc]simplify: iters left: 4 (44 enodes) 1545556579.493 * * [misc]simplify: iters left: 3 (54 enodes) 1545556579.499 * * [misc]simplify: iters left: 2 (57 enodes) 1545556579.504 * * [misc]simplify: iters left: 1 (65 enodes) 1545556579.512 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545556579.520 * * [misc]progress: iteration 1 / 4 1545556579.520 * * * [misc]progress: picking best candidate 1545556579.529 * * * * [misc]pick: Picked # 1545556579.530 * * * [misc]progress: localizing error 1545556579.573 * * * [misc]progress: generating rewritten candidates 1545556579.573 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545556579.576 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545556579.582 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545556579.588 * * * [misc]progress: generating series expansions 1545556579.588 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545556579.588 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545556579.588 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545556579.588 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.588 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.588 * [misc]taylor: Taking taylor expansion of k in k 1545556579.588 * [misc]backup-simplify: Simplify 0 into 0 1545556579.588 * [misc]backup-simplify: Simplify 1 into 1 1545556579.588 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.588 * [misc]backup-simplify: Simplify 2 into 2 1545556579.588 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545556579.588 * [misc]taylor: Taking taylor expansion of n in k 1545556579.588 * [misc]backup-simplify: Simplify n into n 1545556579.588 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.588 * [misc]backup-simplify: Simplify PI into PI 1545556579.588 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545556579.588 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545556579.588 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545556579.589 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556579.589 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.589 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.589 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545556579.589 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545556579.589 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.589 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.589 * [misc]taylor: Taking taylor expansion of k in n 1545556579.589 * [misc]backup-simplify: Simplify k into k 1545556579.589 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.589 * [misc]backup-simplify: Simplify 2 into 2 1545556579.589 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.589 * [misc]taylor: Taking taylor expansion of n in n 1545556579.589 * [misc]backup-simplify: Simplify 0 into 0 1545556579.589 * [misc]backup-simplify: Simplify 1 into 1 1545556579.589 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.589 * [misc]backup-simplify: Simplify PI into PI 1545556579.590 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556579.590 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556579.590 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556579.591 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545556579.591 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.591 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556579.591 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556579.591 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556579.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.592 * [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)))) 1545556579.592 * [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))))) 1545556579.592 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.592 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.592 * [misc]taylor: Taking taylor expansion of k in n 1545556579.592 * [misc]backup-simplify: Simplify k into k 1545556579.592 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.592 * [misc]backup-simplify: Simplify 2 into 2 1545556579.592 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.592 * [misc]taylor: Taking taylor expansion of n in n 1545556579.592 * [misc]backup-simplify: Simplify 0 into 0 1545556579.592 * [misc]backup-simplify: Simplify 1 into 1 1545556579.592 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.593 * [misc]backup-simplify: Simplify PI into PI 1545556579.593 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556579.593 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556579.593 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556579.594 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545556579.594 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.594 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556579.594 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556579.594 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556579.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.595 * [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)))) 1545556579.596 * [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))))) 1545556579.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.596 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.596 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.596 * [misc]taylor: Taking taylor expansion of k in k 1545556579.596 * [misc]backup-simplify: Simplify 0 into 0 1545556579.596 * [misc]backup-simplify: Simplify 1 into 1 1545556579.596 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of n in k 1545556579.596 * [misc]backup-simplify: Simplify n into n 1545556579.596 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.596 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545556579.596 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.596 * [misc]backup-simplify: Simplify 2 into 2 1545556579.596 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.596 * [misc]backup-simplify: Simplify PI into PI 1545556579.596 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.597 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.597 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556579.597 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.597 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.597 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.598 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545556579.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545556579.598 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545556579.599 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556579.600 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545556579.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556579.601 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.602 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.602 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545556579.603 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556579.603 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.603 * [misc]backup-simplify: Simplify 0 into 0 1545556579.603 * [misc]backup-simplify: Simplify 0 into 0 1545556579.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556579.605 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545556579.607 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.608 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.608 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556579.608 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.608 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.609 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545556579.610 * [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))))))) 1545556579.612 * [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))))))) 1545556579.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.615 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545556579.620 * [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 1545556579.620 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556579.620 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.620 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.621 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.622 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545556579.624 * [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 1545556579.624 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.624 * [misc]backup-simplify: Simplify 0 into 0 1545556579.624 * [misc]backup-simplify: Simplify 0 into 0 1545556579.624 * [misc]backup-simplify: Simplify 0 into 0 1545556579.626 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556579.627 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.632 * [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 1545556579.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556579.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545556579.636 * [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))))) 1545556579.638 * [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))))) 1545556579.644 * [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))))) 1545556579.644 * [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)))) 1545556579.644 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545556579.644 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.644 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.644 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.644 * [misc]taylor: Taking taylor expansion of k in k 1545556579.644 * [misc]backup-simplify: Simplify 0 into 0 1545556579.645 * [misc]backup-simplify: Simplify 1 into 1 1545556579.645 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.645 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545556579.645 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545556579.645 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.645 * [misc]backup-simplify: Simplify 2 into 2 1545556579.645 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545556579.645 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.645 * [misc]backup-simplify: Simplify PI into PI 1545556579.645 * [misc]taylor: Taking taylor expansion of n in k 1545556579.645 * [misc]backup-simplify: Simplify n into n 1545556579.645 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545556579.645 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545556579.645 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545556579.646 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.646 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.646 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.646 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545556579.646 * [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)))) 1545556579.646 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556579.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545556579.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545556579.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556579.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.646 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.647 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.647 * [misc]taylor: Taking taylor expansion of k in n 1545556579.647 * [misc]backup-simplify: Simplify k into k 1545556579.647 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.647 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545556579.647 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.647 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.647 * [misc]backup-simplify: Simplify 2 into 2 1545556579.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.647 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.647 * [misc]backup-simplify: Simplify PI into PI 1545556579.647 * [misc]taylor: Taking taylor expansion of n in n 1545556579.647 * [misc]backup-simplify: Simplify 0 into 0 1545556579.647 * [misc]backup-simplify: Simplify 1 into 1 1545556579.648 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.648 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.649 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.649 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.649 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556579.649 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556579.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.650 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1545556579.651 * [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)))) 1545556579.651 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of k in n 1545556579.651 * [misc]backup-simplify: Simplify k into k 1545556579.651 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.651 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.651 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.651 * [misc]backup-simplify: Simplify 2 into 2 1545556579.652 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.652 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.652 * [misc]backup-simplify: Simplify PI into PI 1545556579.652 * [misc]taylor: Taking taylor expansion of n in n 1545556579.652 * [misc]backup-simplify: Simplify 0 into 0 1545556579.652 * [misc]backup-simplify: Simplify 1 into 1 1545556579.652 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.652 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.653 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.653 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.653 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556579.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556579.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.654 * [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))) 1545556579.655 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1545556579.655 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.655 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.655 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of k in k 1545556579.655 * [misc]backup-simplify: Simplify 0 into 0 1545556579.655 * [misc]backup-simplify: Simplify 1 into 1 1545556579.655 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.655 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545556579.655 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.655 * [misc]backup-simplify: Simplify 2 into 2 1545556579.656 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.656 * [misc]backup-simplify: Simplify PI into PI 1545556579.656 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.656 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.656 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.656 * [misc]taylor: Taking taylor expansion of n in k 1545556579.656 * [misc]backup-simplify: Simplify n into n 1545556579.656 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.656 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.656 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.656 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.656 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556579.657 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545556579.657 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545556579.657 * [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)))) 1545556579.658 * [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)))) 1545556579.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556579.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545556579.661 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.661 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556579.661 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556579.661 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.661 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.661 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.662 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545556579.663 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556579.663 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.663 * [misc]backup-simplify: Simplify 0 into 0 1545556579.663 * [misc]backup-simplify: Simplify 0 into 0 1545556579.663 * [misc]backup-simplify: Simplify 0 into 0 1545556579.664 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.664 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.667 * [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 1545556579.667 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556579.668 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.669 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545556579.670 * [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 1545556579.670 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.670 * [misc]backup-simplify: Simplify 0 into 0 1545556579.670 * [misc]backup-simplify: Simplify 0 into 0 1545556579.670 * [misc]backup-simplify: Simplify 0 into 0 1545556579.670 * [misc]backup-simplify: Simplify 0 into 0 1545556579.672 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.672 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.677 * [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 1545556579.677 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556579.678 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.678 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545556579.681 * [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 1545556579.681 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.681 * [misc]backup-simplify: Simplify 0 into 0 1545556579.681 * [misc]backup-simplify: Simplify 0 into 0 1545556579.682 * [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))))) 1545556579.682 * [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)) 1545556579.682 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545556579.682 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.682 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of k in k 1545556579.682 * [misc]backup-simplify: Simplify 0 into 0 1545556579.682 * [misc]backup-simplify: Simplify 1 into 1 1545556579.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.682 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.682 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of -2 in k 1545556579.682 * [misc]backup-simplify: Simplify -2 into -2 1545556579.682 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545556579.682 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.682 * [misc]backup-simplify: Simplify PI into PI 1545556579.682 * [misc]taylor: Taking taylor expansion of n in k 1545556579.682 * [misc]backup-simplify: Simplify n into n 1545556579.682 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545556579.682 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545556579.682 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545556579.682 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.683 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.683 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545556579.683 * [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))) 1545556579.683 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.683 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of k in n 1545556579.683 * [misc]backup-simplify: Simplify k into k 1545556579.683 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.683 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.683 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.683 * [misc]backup-simplify: Simplify -2 into -2 1545556579.683 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.683 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.683 * [misc]backup-simplify: Simplify PI into PI 1545556579.683 * [misc]taylor: Taking taylor expansion of n in n 1545556579.683 * [misc]backup-simplify: Simplify 0 into 0 1545556579.683 * [misc]backup-simplify: Simplify 1 into 1 1545556579.683 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.684 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.684 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.684 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.684 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556579.684 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.685 * [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))) 1545556579.685 * [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)))) 1545556579.685 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of k in n 1545556579.685 * [misc]backup-simplify: Simplify k into k 1545556579.685 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.685 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.685 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.685 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.685 * [misc]backup-simplify: Simplify -2 into -2 1545556579.685 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.686 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.686 * [misc]backup-simplify: Simplify PI into PI 1545556579.686 * [misc]taylor: Taking taylor expansion of n in n 1545556579.686 * [misc]backup-simplify: Simplify 0 into 0 1545556579.686 * [misc]backup-simplify: Simplify 1 into 1 1545556579.686 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.686 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.686 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.686 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.686 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556579.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.687 * [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))) 1545556579.687 * [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)))) 1545556579.688 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of k in k 1545556579.688 * [misc]backup-simplify: Simplify 0 into 0 1545556579.688 * [misc]backup-simplify: Simplify 1 into 1 1545556579.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.688 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of -2 in k 1545556579.688 * [misc]backup-simplify: Simplify -2 into -2 1545556579.688 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.688 * [misc]backup-simplify: Simplify PI into PI 1545556579.688 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.688 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.688 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.688 * [misc]taylor: Taking taylor expansion of n in k 1545556579.688 * [misc]backup-simplify: Simplify n into n 1545556579.689 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.689 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.689 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.689 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556579.689 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545556579.689 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545556579.690 * [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)))) 1545556579.690 * [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)))) 1545556579.691 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556579.691 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545556579.693 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545556579.693 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556579.693 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556579.693 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.694 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.694 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545556579.695 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556579.695 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.695 * [misc]backup-simplify: Simplify 0 into 0 1545556579.695 * [misc]backup-simplify: Simplify 0 into 0 1545556579.695 * [misc]backup-simplify: Simplify 0 into 0 1545556579.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.696 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.699 * [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 1545556579.699 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.700 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556579.700 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.700 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.702 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545556579.704 * [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 1545556579.704 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.704 * [misc]backup-simplify: Simplify 0 into 0 1545556579.704 * [misc]backup-simplify: Simplify 0 into 0 1545556579.705 * [misc]backup-simplify: Simplify 0 into 0 1545556579.705 * [misc]backup-simplify: Simplify 0 into 0 1545556579.706 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.708 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.716 * [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 1545556579.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.716 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556579.716 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.717 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.718 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545556579.722 * [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 1545556579.722 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.722 * [misc]backup-simplify: Simplify 0 into 0 1545556579.722 * [misc]backup-simplify: Simplify 0 into 0 1545556579.723 * [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))))) 1545556579.723 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545556579.723 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545556579.723 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545556579.723 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.723 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.723 * [misc]backup-simplify: Simplify 2 into 2 1545556579.723 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.723 * [misc]taylor: Taking taylor expansion of n in n 1545556579.723 * [misc]backup-simplify: Simplify 0 into 0 1545556579.723 * [misc]backup-simplify: Simplify 1 into 1 1545556579.723 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.723 * [misc]backup-simplify: Simplify PI into PI 1545556579.723 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.723 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.723 * [misc]backup-simplify: Simplify 2 into 2 1545556579.723 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.723 * [misc]taylor: Taking taylor expansion of n in n 1545556579.723 * [misc]backup-simplify: Simplify 0 into 0 1545556579.723 * [misc]backup-simplify: Simplify 1 into 1 1545556579.723 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.723 * [misc]backup-simplify: Simplify PI into PI 1545556579.724 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556579.724 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556579.724 * [misc]backup-simplify: Simplify 0 into 0 1545556579.725 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556579.725 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545556579.726 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556579.728 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545556579.728 * [misc]backup-simplify: Simplify 0 into 0 1545556579.729 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.731 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545556579.731 * [misc]backup-simplify: Simplify 0 into 0 1545556579.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545556579.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545556579.735 * [misc]backup-simplify: Simplify 0 into 0 1545556579.737 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545556579.740 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545556579.740 * [misc]backup-simplify: Simplify 0 into 0 1545556579.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545556579.746 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545556579.747 * [misc]backup-simplify: Simplify 0 into 0 1545556579.751 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545556579.755 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545556579.755 * [misc]backup-simplify: Simplify 0 into 0 1545556579.755 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545556579.755 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545556579.755 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545556579.755 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.755 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.755 * [misc]backup-simplify: Simplify 2 into 2 1545556579.755 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.755 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.755 * [misc]backup-simplify: Simplify PI into PI 1545556579.755 * [misc]taylor: Taking taylor expansion of n in n 1545556579.755 * [misc]backup-simplify: Simplify 0 into 0 1545556579.755 * [misc]backup-simplify: Simplify 1 into 1 1545556579.756 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.756 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.756 * [misc]backup-simplify: Simplify 2 into 2 1545556579.756 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.756 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.756 * [misc]backup-simplify: Simplify PI into PI 1545556579.756 * [misc]taylor: Taking taylor expansion of n in n 1545556579.756 * [misc]backup-simplify: Simplify 0 into 0 1545556579.756 * [misc]backup-simplify: Simplify 1 into 1 1545556579.756 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.757 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.757 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.759 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556579.759 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545556579.759 * [misc]backup-simplify: Simplify 0 into 0 1545556579.761 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.762 * [misc]backup-simplify: Simplify 0 into 0 1545556579.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.765 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.765 * [misc]backup-simplify: Simplify 0 into 0 1545556579.767 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.769 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545556579.769 * [misc]backup-simplify: Simplify 0 into 0 1545556579.771 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545556579.774 * [misc]backup-simplify: Simplify 0 into 0 1545556579.777 * [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 1545556579.780 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545556579.780 * [misc]backup-simplify: Simplify 0 into 0 1545556579.780 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545556579.781 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545556579.781 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545556579.781 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.781 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.781 * [misc]backup-simplify: Simplify -2 into -2 1545556579.781 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.781 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.781 * [misc]backup-simplify: Simplify PI into PI 1545556579.781 * [misc]taylor: Taking taylor expansion of n in n 1545556579.781 * [misc]backup-simplify: Simplify 0 into 0 1545556579.781 * [misc]backup-simplify: Simplify 1 into 1 1545556579.781 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.781 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.781 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.781 * [misc]backup-simplify: Simplify -2 into -2 1545556579.781 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.781 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.782 * [misc]backup-simplify: Simplify PI into PI 1545556579.782 * [misc]taylor: Taking taylor expansion of n in n 1545556579.782 * [misc]backup-simplify: Simplify 0 into 0 1545556579.782 * [misc]backup-simplify: Simplify 1 into 1 1545556579.782 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.782 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.782 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556579.784 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545556579.784 * [misc]backup-simplify: Simplify 0 into 0 1545556579.786 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.787 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.787 * [misc]backup-simplify: Simplify 0 into 0 1545556579.788 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.790 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.790 * [misc]backup-simplify: Simplify 0 into 0 1545556579.792 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.794 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545556579.794 * [misc]backup-simplify: Simplify 0 into 0 1545556579.796 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.799 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545556579.799 * [misc]backup-simplify: Simplify 0 into 0 1545556579.802 * [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 1545556579.805 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545556579.805 * [misc]backup-simplify: Simplify 0 into 0 1545556579.805 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545556579.806 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545556579.806 * [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)))) 1545556579.806 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545556579.806 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545556579.806 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556579.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.806 * [misc]taylor: Taking taylor expansion of k in k 1545556579.806 * [misc]backup-simplify: Simplify 0 into 0 1545556579.806 * [misc]backup-simplify: Simplify 1 into 1 1545556579.806 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.807 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556579.807 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545556579.807 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545556579.807 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545556579.807 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556579.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.807 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556579.807 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.807 * [misc]taylor: Taking taylor expansion of k in k 1545556579.807 * [misc]backup-simplify: Simplify 0 into 0 1545556579.808 * [misc]backup-simplify: Simplify 1 into 1 1545556579.808 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545556579.808 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545556579.808 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.808 * [misc]backup-simplify: Simplify 2 into 2 1545556579.808 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545556579.808 * [misc]taylor: Taking taylor expansion of n in k 1545556579.808 * [misc]backup-simplify: Simplify n into n 1545556579.808 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.808 * [misc]backup-simplify: Simplify PI into PI 1545556579.808 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545556579.808 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545556579.808 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545556579.808 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556579.808 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.808 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.809 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545556579.809 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545556579.809 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of k in n 1545556579.809 * [misc]backup-simplify: Simplify k into k 1545556579.809 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.809 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556579.809 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556579.809 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556579.809 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.809 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.809 * [misc]taylor: Taking taylor expansion of k in n 1545556579.809 * [misc]backup-simplify: Simplify k into k 1545556579.809 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.809 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.809 * [misc]backup-simplify: Simplify 2 into 2 1545556579.809 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.810 * [misc]taylor: Taking taylor expansion of n in n 1545556579.810 * [misc]backup-simplify: Simplify 0 into 0 1545556579.810 * [misc]backup-simplify: Simplify 1 into 1 1545556579.810 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.810 * [misc]backup-simplify: Simplify PI into PI 1545556579.810 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556579.810 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556579.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556579.811 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545556579.812 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.812 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556579.812 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556579.812 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556579.812 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.813 * [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)))) 1545556579.813 * [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))))) 1545556579.814 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of k in n 1545556579.814 * [misc]backup-simplify: Simplify k into k 1545556579.814 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.814 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556579.814 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556579.814 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556579.814 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.814 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.814 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.814 * [misc]taylor: Taking taylor expansion of k in n 1545556579.814 * [misc]backup-simplify: Simplify k into k 1545556579.814 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.814 * [misc]backup-simplify: Simplify 2 into 2 1545556579.814 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556579.814 * [misc]taylor: Taking taylor expansion of n in n 1545556579.814 * [misc]backup-simplify: Simplify 0 into 0 1545556579.814 * [misc]backup-simplify: Simplify 1 into 1 1545556579.814 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.814 * [misc]backup-simplify: Simplify PI into PI 1545556579.815 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556579.815 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556579.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556579.816 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545556579.816 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.816 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556579.817 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556579.817 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556579.817 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.818 * [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)))) 1545556579.819 * [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))))) 1545556579.820 * [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))) 1545556579.820 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.820 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.820 * [misc]taylor: Taking taylor expansion of k in k 1545556579.820 * [misc]backup-simplify: Simplify 0 into 0 1545556579.820 * [misc]backup-simplify: Simplify 1 into 1 1545556579.820 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of n in k 1545556579.820 * [misc]backup-simplify: Simplify n into n 1545556579.820 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.820 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545556579.820 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.820 * [misc]backup-simplify: Simplify 2 into 2 1545556579.820 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.820 * [misc]backup-simplify: Simplify PI into PI 1545556579.820 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.821 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.821 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556579.821 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.821 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.822 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.822 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545556579.823 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545556579.823 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556579.823 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.823 * [misc]taylor: Taking taylor expansion of k in k 1545556579.823 * [misc]backup-simplify: Simplify 0 into 0 1545556579.823 * [misc]backup-simplify: Simplify 1 into 1 1545556579.823 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.823 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.823 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556579.824 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545556579.824 * [misc]backup-simplify: Simplify 0 into 0 1545556579.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556579.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545556579.828 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556579.829 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545556579.831 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556579.832 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545556579.832 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.832 * [misc]backup-simplify: Simplify 0 into 0 1545556579.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556579.834 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545556579.836 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.836 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556579.837 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.837 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.837 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545556579.839 * [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))))))) 1545556579.841 * [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))))))) 1545556579.841 * [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))))))) 1545556579.842 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.844 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545556579.848 * [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 1545556579.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556579.849 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.849 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.850 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.850 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545556579.852 * [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 1545556579.853 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.853 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545556579.854 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545556579.854 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.854 * [misc]backup-simplify: Simplify 0 into 0 1545556579.854 * [misc]backup-simplify: Simplify 0 into 0 1545556579.854 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556579.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556579.858 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556579.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.864 * [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 1545556579.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556579.864 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545556579.867 * [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))))) 1545556579.872 * [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)))))))) 1545556579.874 * [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)))))))) 1545556579.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545556579.878 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545556579.885 * [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 1545556579.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545556579.886 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.886 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545556579.887 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545556579.890 * [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 1545556579.891 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.891 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545556579.892 * [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 1545556579.892 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.892 * [misc]backup-simplify: Simplify 0 into 0 1545556579.892 * [misc]backup-simplify: Simplify 0 into 0 1545556579.892 * [misc]backup-simplify: Simplify 0 into 0 1545556579.893 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.894 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556579.896 * [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 1545556579.897 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.904 * [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 1545556579.904 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.905 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556579.905 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.905 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545556579.909 * [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))))))) 1545556579.915 * [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)))))))))))))) 1545556579.919 * [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)))))))))))))) 1545556579.926 * [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)))))))))))))))))))))) 1545556579.926 * [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))))) 1545556579.926 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545556579.926 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545556579.926 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556579.926 * [misc]taylor: Taking taylor expansion of k in k 1545556579.926 * [misc]backup-simplify: Simplify 0 into 0 1545556579.926 * [misc]backup-simplify: Simplify 1 into 1 1545556579.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.927 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556579.927 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of k in k 1545556579.927 * [misc]backup-simplify: Simplify 0 into 0 1545556579.927 * [misc]backup-simplify: Simplify 1 into 1 1545556579.927 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.927 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.927 * [misc]backup-simplify: Simplify 2 into 2 1545556579.927 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545556579.927 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.927 * [misc]backup-simplify: Simplify PI into PI 1545556579.927 * [misc]taylor: Taking taylor expansion of n in k 1545556579.927 * [misc]backup-simplify: Simplify n into n 1545556579.927 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545556579.927 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545556579.927 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545556579.927 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.927 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.927 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.928 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545556579.928 * [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)))) 1545556579.928 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of k in n 1545556579.928 * [misc]backup-simplify: Simplify k into k 1545556579.928 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556579.928 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556579.928 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of k in n 1545556579.928 * [misc]backup-simplify: Simplify k into k 1545556579.928 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.928 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.928 * [misc]backup-simplify: Simplify 2 into 2 1545556579.928 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.928 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.928 * [misc]backup-simplify: Simplify PI into PI 1545556579.928 * [misc]taylor: Taking taylor expansion of n in n 1545556579.928 * [misc]backup-simplify: Simplify 0 into 0 1545556579.928 * [misc]backup-simplify: Simplify 1 into 1 1545556579.928 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.928 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.929 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.929 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.929 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556579.929 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556579.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.930 * [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))) 1545556579.930 * [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)))) 1545556579.930 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of k in n 1545556579.930 * [misc]backup-simplify: Simplify k into k 1545556579.930 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556579.930 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556579.930 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.930 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.930 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.931 * [misc]taylor: Taking taylor expansion of k in n 1545556579.931 * [misc]backup-simplify: Simplify k into k 1545556579.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.931 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545556579.931 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545556579.931 * [misc]taylor: Taking taylor expansion of 2 in n 1545556579.931 * [misc]backup-simplify: Simplify 2 into 2 1545556579.931 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.931 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.931 * [misc]backup-simplify: Simplify PI into PI 1545556579.931 * [misc]taylor: Taking taylor expansion of n in n 1545556579.931 * [misc]backup-simplify: Simplify 0 into 0 1545556579.931 * [misc]backup-simplify: Simplify 1 into 1 1545556579.931 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.931 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.931 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.931 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.931 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556579.931 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556579.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.932 * [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))) 1545556579.933 * [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)))) 1545556579.933 * [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)) 1545556579.933 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.933 * [misc]taylor: Taking taylor expansion of k in k 1545556579.933 * [misc]backup-simplify: Simplify 0 into 0 1545556579.933 * [misc]backup-simplify: Simplify 1 into 1 1545556579.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.933 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545556579.934 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545556579.934 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545556579.934 * [misc]taylor: Taking taylor expansion of 2 in k 1545556579.934 * [misc]backup-simplify: Simplify 2 into 2 1545556579.934 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.934 * [misc]backup-simplify: Simplify PI into PI 1545556579.934 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545556579.934 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545556579.934 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.934 * [misc]taylor: Taking taylor expansion of n in k 1545556579.934 * [misc]backup-simplify: Simplify n into n 1545556579.934 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.934 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.934 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556579.934 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556579.934 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556579.935 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545556579.935 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545556579.935 * [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)))) 1545556579.936 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556579.936 * [misc]taylor: Taking taylor expansion of k in k 1545556579.936 * [misc]backup-simplify: Simplify 0 into 0 1545556579.936 * [misc]backup-simplify: Simplify 1 into 1 1545556579.936 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.936 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556579.936 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545556579.936 * [misc]backup-simplify: Simplify 0 into 0 1545556579.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556579.937 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545556579.939 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545556579.939 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556579.939 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556579.939 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.939 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.940 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.940 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545556579.941 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556579.942 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545556579.942 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.942 * [misc]backup-simplify: Simplify 0 into 0 1545556579.942 * [misc]backup-simplify: Simplify 0 into 0 1545556579.942 * [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)))))) 1545556579.942 * [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)))))) 1545556579.943 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.944 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556579.947 * [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 1545556579.947 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556579.947 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.948 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.948 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545556579.950 * [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 1545556579.950 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545556579.951 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545556579.951 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.951 * [misc]backup-simplify: Simplify 0 into 0 1545556579.951 * [misc]backup-simplify: Simplify 0 into 0 1545556579.951 * [misc]backup-simplify: Simplify 0 into 0 1545556579.952 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556579.952 * [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)))))) 1545556579.953 * [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)))))) 1545556579.955 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556579.956 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545556579.964 * [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 1545556579.964 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556579.965 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556579.965 * [misc]backup-simplify: Simplify (- 0) into 0 1545556579.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556579.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545556579.966 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545556579.970 * [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 1545556579.971 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545556579.972 * [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 1545556579.972 * [misc]taylor: Taking taylor expansion of 0 in k 1545556579.972 * [misc]backup-simplify: Simplify 0 into 0 1545556579.972 * [misc]backup-simplify: Simplify 0 into 0 1545556579.972 * [misc]backup-simplify: Simplify 0 into 0 1545556579.972 * [misc]backup-simplify: Simplify 0 into 0 1545556579.973 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556579.974 * [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)))))) 1545556579.975 * [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)))))) 1545556579.978 * [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)))))))) 1545556579.978 * [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))) 1545556579.978 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545556579.978 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.978 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.978 * [misc]taylor: Taking taylor expansion of k in k 1545556579.978 * [misc]backup-simplify: Simplify 0 into 0 1545556579.978 * [misc]backup-simplify: Simplify 1 into 1 1545556579.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.979 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545556579.979 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545556579.979 * [misc]taylor: Taking taylor expansion of -2 in k 1545556579.979 * [misc]backup-simplify: Simplify -2 into -2 1545556579.979 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545556579.979 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.979 * [misc]backup-simplify: Simplify PI into PI 1545556579.979 * [misc]taylor: Taking taylor expansion of n in k 1545556579.979 * [misc]backup-simplify: Simplify n into n 1545556579.979 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545556579.979 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545556579.979 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545556579.979 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.980 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.980 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545556579.980 * [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))) 1545556579.980 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556579.980 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556579.980 * [misc]taylor: Taking taylor expansion of -1 in k 1545556579.980 * [misc]backup-simplify: Simplify -1 into -1 1545556579.980 * [misc]taylor: Taking taylor expansion of k in k 1545556579.980 * [misc]backup-simplify: Simplify 0 into 0 1545556579.980 * [misc]backup-simplify: Simplify 1 into 1 1545556579.980 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556579.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.981 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556579.982 * [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)))) 1545556579.982 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556579.982 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of k in n 1545556579.983 * [misc]backup-simplify: Simplify k into k 1545556579.983 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.983 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.983 * [misc]backup-simplify: Simplify -2 into -2 1545556579.983 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.983 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.983 * [misc]backup-simplify: Simplify PI into PI 1545556579.983 * [misc]taylor: Taking taylor expansion of n in n 1545556579.983 * [misc]backup-simplify: Simplify 0 into 0 1545556579.983 * [misc]backup-simplify: Simplify 1 into 1 1545556579.984 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.984 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.984 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.985 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.985 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556579.985 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.986 * [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))) 1545556579.986 * [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)))) 1545556579.986 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556579.987 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556579.987 * [misc]taylor: Taking taylor expansion of -1 in n 1545556579.987 * [misc]backup-simplify: Simplify -1 into -1 1545556579.987 * [misc]taylor: Taking taylor expansion of k in n 1545556579.987 * [misc]backup-simplify: Simplify k into k 1545556579.987 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556579.987 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556579.987 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556579.987 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556579.988 * [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))) 1545556579.988 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of k in n 1545556579.988 * [misc]backup-simplify: Simplify k into k 1545556579.988 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556579.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556579.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.988 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of -2 in n 1545556579.988 * [misc]backup-simplify: Simplify -2 into -2 1545556579.988 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545556579.988 * [misc]taylor: Taking taylor expansion of PI in n 1545556579.988 * [misc]backup-simplify: Simplify PI into PI 1545556579.988 * [misc]taylor: Taking taylor expansion of n in n 1545556579.988 * [misc]backup-simplify: Simplify 0 into 0 1545556579.988 * [misc]backup-simplify: Simplify 1 into 1 1545556579.989 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545556579.989 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.989 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.989 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556579.989 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556579.990 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556579.991 * [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))) 1545556579.991 * [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)))) 1545556579.991 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556579.991 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556579.991 * [misc]taylor: Taking taylor expansion of -1 in n 1545556579.991 * [misc]backup-simplify: Simplify -1 into -1 1545556579.991 * [misc]taylor: Taking taylor expansion of k in n 1545556579.991 * [misc]backup-simplify: Simplify k into k 1545556579.991 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556579.992 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556579.992 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556579.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556579.992 * [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))) 1545556579.993 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of k in k 1545556579.993 * [misc]backup-simplify: Simplify 0 into 0 1545556579.993 * [misc]backup-simplify: Simplify 1 into 1 1545556579.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556579.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556579.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556579.993 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545556579.993 * [misc]taylor: Taking taylor expansion of -2 in k 1545556579.993 * [misc]backup-simplify: Simplify -2 into -2 1545556579.993 * [misc]taylor: Taking taylor expansion of PI in k 1545556579.993 * [misc]backup-simplify: Simplify PI into PI 1545556579.994 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545556579.994 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545556579.994 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556579.994 * [misc]taylor: Taking taylor expansion of n in k 1545556579.994 * [misc]backup-simplify: Simplify n into n 1545556579.994 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556579.994 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556579.995 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556579.995 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556579.995 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545556579.996 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545556579.996 * [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)))) 1545556579.996 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556579.996 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556579.996 * [misc]taylor: Taking taylor expansion of -1 in k 1545556579.996 * [misc]backup-simplify: Simplify -1 into -1 1545556579.996 * [misc]taylor: Taking taylor expansion of k in k 1545556579.996 * [misc]backup-simplify: Simplify 0 into 0 1545556579.996 * [misc]backup-simplify: Simplify 1 into 1 1545556579.997 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556579.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556579.997 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556579.998 * [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))))) 1545556579.999 * [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))))) 1545556580.000 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545556580.000 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545556580.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545556580.003 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556580.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556580.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556580.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556580.005 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545556580.006 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556580.007 * [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 1545556580.007 * [misc]taylor: Taking taylor expansion of 0 in k 1545556580.007 * [misc]backup-simplify: Simplify 0 into 0 1545556580.007 * [misc]backup-simplify: Simplify 0 into 0 1545556580.008 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556580.009 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556580.010 * [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)))))) 1545556580.010 * [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)))))) 1545556580.012 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556580.013 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545556580.017 * [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 1545556580.018 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556580.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556580.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556580.019 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545556580.020 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545556580.022 * [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 1545556580.022 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556580.023 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545556580.024 * [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 1545556580.024 * [misc]taylor: Taking taylor expansion of 0 in k 1545556580.024 * [misc]backup-simplify: Simplify 0 into 0 1545556580.024 * [misc]backup-simplify: Simplify 0 into 0 1545556580.024 * [misc]backup-simplify: Simplify 0 into 0 1545556580.025 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556580.026 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556580.028 * [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)))))) 1545556580.028 * [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)))))) 1545556580.031 * [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))))))))))) 1545556580.031 * * * [misc]progress: simplifying candidates 1545556580.031 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1545556580.032 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545556580.032 * * [misc]simplify: iters left: 6 (11 enodes) 1545556580.035 * * [misc]simplify: iters left: 5 (21 enodes) 1545556580.042 * * [misc]simplify: iters left: 4 (47 enodes) 1545556580.056 * * [misc]simplify: iters left: 3 (109 enodes) 1545556580.100 * * [misc]simplify: iters left: 2 (300 enodes) 1545556580.345 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545556580.346 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545556580.346 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1545556580.346 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1545556580.346 * [enter]simplify: Simplifying (* PI (* n 2)) 1545556580.346 * * [misc]simplify: iters left: 4 (5 enodes) 1545556580.347 * * [misc]simplify: iters left: 3 (9 enodes) 1545556580.348 * * [misc]simplify: iters left: 2 (15 enodes) 1545556580.350 * * [misc]simplify: iters left: 1 (17 enodes) 1545556580.352 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545556580.352 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545556580.352 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1545556580.352 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545556580.352 * * [misc]simplify: iters left: 5 (8 enodes) 1545556580.354 * * [misc]simplify: iters left: 4 (12 enodes) 1545556580.355 * * [misc]simplify: iters left: 3 (18 enodes) 1545556580.358 * * [misc]simplify: iters left: 2 (20 enodes) 1545556580.360 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545556580.360 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545556580.360 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1545556580.360 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556580.360 * * [misc]simplify: iters left: 5 (6 enodes) 1545556580.361 * * [misc]simplify: iters left: 4 (8 enodes) 1545556580.362 * * [misc]simplify: iters left: 3 (11 enodes) 1545556580.364 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556580.364 * [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))) 1545556580.364 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1545556580.364 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556580.364 * * [misc]simplify: iters left: 5 (6 enodes) 1545556580.365 * * [misc]simplify: iters left: 4 (8 enodes) 1545556580.366 * * [misc]simplify: iters left: 3 (11 enodes) 1545556580.367 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556580.367 * [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))) 1545556580.367 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1545556580.368 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556580.368 * * [misc]simplify: iters left: 4 (5 enodes) 1545556580.368 * * [misc]simplify: iters left: 3 (7 enodes) 1545556580.369 * * [misc]simplify: iters left: 2 (10 enodes) 1545556580.371 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556580.371 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545556580.371 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1545556580.371 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545556580.371 * * [misc]simplify: iters left: 5 (9 enodes) 1545556580.373 * * [misc]simplify: iters left: 4 (15 enodes) 1545556580.377 * * [misc]simplify: iters left: 3 (21 enodes) 1545556580.383 * * [misc]simplify: iters left: 2 (22 enodes) 1545556580.388 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545556580.388 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545556580.388 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1545556580.388 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545556580.388 * * [misc]simplify: iters left: 5 (9 enodes) 1545556580.390 * * [misc]simplify: iters left: 4 (15 enodes) 1545556580.392 * * [misc]simplify: iters left: 3 (21 enodes) 1545556580.394 * * [misc]simplify: iters left: 2 (22 enodes) 1545556580.397 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545556580.397 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545556580.397 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1545556580.397 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545556580.397 * * [misc]simplify: iters left: 5 (7 enodes) 1545556580.398 * * [misc]simplify: iters left: 4 (9 enodes) 1545556580.399 * * [misc]simplify: iters left: 3 (12 enodes) 1545556580.401 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545556580.401 * [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))) 1545556580.401 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1545556580.401 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1545556580.402 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1545556580.402 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1545556580.402 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556580.402 * * [misc]simplify: iters left: 6 (14 enodes) 1545556580.404 * * [misc]simplify: iters left: 5 (26 enodes) 1545556580.408 * * [misc]simplify: iters left: 4 (53 enodes) 1545556580.425 * * [misc]simplify: iters left: 3 (137 enodes) 1545556580.492 * * [misc]simplify: iters left: 2 (487 enodes) 1545556581.044 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545556581.044 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545556581.044 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1545556581.044 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556581.044 * * [misc]simplify: iters left: 6 (14 enodes) 1545556581.046 * * [misc]simplify: iters left: 5 (26 enodes) 1545556581.054 * * [misc]simplify: iters left: 4 (53 enodes) 1545556581.074 * * [misc]simplify: iters left: 3 (137 enodes) 1545556581.131 * * [misc]simplify: iters left: 2 (487 enodes) 1545556581.644 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545556581.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545556581.644 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1545556581.644 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545556581.644 * * [misc]simplify: iters left: 6 (14 enodes) 1545556581.649 * * [misc]simplify: iters left: 5 (24 enodes) 1545556581.657 * * [misc]simplify: iters left: 4 (42 enodes) 1545556581.667 * * [misc]simplify: iters left: 3 (71 enodes) 1545556581.682 * * [misc]simplify: iters left: 2 (208 enodes) 1545556581.864 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556581.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556581.864 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1545556581.864 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1545556581.864 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1545556581.864 * [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))) 1545556581.864 * * [misc]simplify: iters left: 6 (16 enodes) 1545556581.870 * * [misc]simplify: iters left: 5 (31 enodes) 1545556581.880 * * [misc]simplify: iters left: 4 (67 enodes) 1545556581.902 * * [misc]simplify: iters left: 3 (124 enodes) 1545556581.947 * * [misc]simplify: iters left: 2 (195 enodes) 1545556582.033 * * [misc]simplify: iters left: 1 (309 enodes) 1545556582.197 * [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)))) 1545556582.197 * [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)))))) 1545556582.197 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1545556582.197 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1545556582.197 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1545556582.197 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1545556582.197 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1545556582.197 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.198 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.201 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.207 * * [misc]simplify: iters left: 4 (25 enodes) 1545556582.213 * * [misc]simplify: iters left: 3 (26 enodes) 1545556582.220 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.220 * [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))))) 1545556582.220 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545556582.220 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.224 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.229 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.236 * * [misc]simplify: iters left: 3 (25 enodes) 1545556582.242 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545556582.242 * [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))))) 1545556582.242 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1545556582.242 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545556582.242 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.246 * * [misc]simplify: iters left: 5 (16 enodes) 1545556582.250 * * [misc]simplify: iters left: 4 (22 enodes) 1545556582.256 * * [misc]simplify: iters left: 3 (24 enodes) 1545556582.262 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545556582.262 * [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))))) 1545556582.262 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545556582.262 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.266 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.271 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.277 * * [misc]simplify: iters left: 3 (25 enodes) 1545556582.284 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545556582.284 * [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))))) 1545556582.284 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1545556582.284 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545556582.284 * * [misc]simplify: iters left: 6 (9 enodes) 1545556582.288 * * [misc]simplify: iters left: 5 (16 enodes) 1545556582.293 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.299 * * [misc]simplify: iters left: 3 (26 enodes) 1545556582.305 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545556582.305 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545556582.305 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545556582.305 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.309 * * [misc]simplify: iters left: 5 (17 enodes) 1545556582.317 * * [misc]simplify: iters left: 4 (23 enodes) 1545556582.323 * * [misc]simplify: iters left: 3 (24 enodes) 1545556582.329 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545556582.329 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545556582.329 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1545556582.329 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.330 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.333 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.339 * * [misc]simplify: iters left: 4 (25 enodes) 1545556582.346 * * [misc]simplify: iters left: 3 (26 enodes) 1545556582.352 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.352 * [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))))) 1545556582.353 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545556582.353 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.356 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.361 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.367 * * [misc]simplify: iters left: 3 (25 enodes) 1545556582.373 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545556582.374 * [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))))) 1545556582.374 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1545556582.374 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545556582.374 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.377 * * [misc]simplify: iters left: 5 (16 enodes) 1545556582.383 * * [misc]simplify: iters left: 4 (22 enodes) 1545556582.389 * * [misc]simplify: iters left: 3 (24 enodes) 1545556582.396 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545556582.396 * [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))))) 1545556582.396 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545556582.396 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.400 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.405 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.412 * * [misc]simplify: iters left: 3 (25 enodes) 1545556582.418 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545556582.418 * [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))))) 1545556582.418 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1545556582.418 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545556582.418 * * [misc]simplify: iters left: 6 (9 enodes) 1545556582.421 * * [misc]simplify: iters left: 5 (16 enodes) 1545556582.426 * * [misc]simplify: iters left: 4 (24 enodes) 1545556582.432 * * [misc]simplify: iters left: 3 (26 enodes) 1545556582.434 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545556582.434 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545556582.435 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545556582.435 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.436 * * [misc]simplify: iters left: 5 (17 enodes) 1545556582.439 * * [misc]simplify: iters left: 4 (23 enodes) 1545556582.442 * * [misc]simplify: iters left: 3 (24 enodes) 1545556582.444 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545556582.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545556582.445 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1545556582.445 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.445 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.446 * * [misc]simplify: iters left: 5 (15 enodes) 1545556582.450 * * [misc]simplify: iters left: 4 (18 enodes) 1545556582.452 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.452 * [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))))) 1545556582.452 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556582.452 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.454 * * [misc]simplify: iters left: 5 (14 enodes) 1545556582.456 * * [misc]simplify: iters left: 4 (17 enodes) 1545556582.458 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556582.458 * [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))))) 1545556582.458 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1545556582.458 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.459 * * [misc]simplify: iters left: 6 (10 enodes) 1545556582.460 * * [misc]simplify: iters left: 5 (12 enodes) 1545556582.461 * * [misc]simplify: iters left: 4 (15 enodes) 1545556582.463 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.463 * [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))))) 1545556582.464 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.464 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.465 * * [misc]simplify: iters left: 5 (14 enodes) 1545556582.467 * * [misc]simplify: iters left: 4 (17 enodes) 1545556582.469 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.469 * [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))))) 1545556582.469 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1545556582.470 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545556582.470 * * [misc]simplify: iters left: 6 (9 enodes) 1545556582.471 * * [misc]simplify: iters left: 5 (13 enodes) 1545556582.473 * * [misc]simplify: iters left: 4 (18 enodes) 1545556582.475 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545556582.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556582.475 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556582.475 * * [misc]simplify: iters left: 6 (10 enodes) 1545556582.477 * * [misc]simplify: iters left: 5 (13 enodes) 1545556582.478 * * [misc]simplify: iters left: 4 (16 enodes) 1545556582.482 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556582.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556582.482 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1545556582.482 * [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)))) 1545556582.483 * * [misc]simplify: iters left: 6 (16 enodes) 1545556582.488 * * [misc]simplify: iters left: 5 (28 enodes) 1545556582.497 * * [misc]simplify: iters left: 4 (46 enodes) 1545556582.508 * * [misc]simplify: iters left: 3 (50 enodes) 1545556582.514 * * [misc]simplify: iters left: 2 (53 enodes) 1545556582.520 * [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)))) 1545556582.521 * [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))))) 1545556582.521 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556582.521 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.523 * * [misc]simplify: iters left: 5 (20 enodes) 1545556582.526 * * [misc]simplify: iters left: 4 (29 enodes) 1545556582.530 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.533 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556582.533 * [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))))) 1545556582.533 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1545556582.533 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545556582.534 * * [misc]simplify: iters left: 6 (15 enodes) 1545556582.536 * * [misc]simplify: iters left: 5 (23 enodes) 1545556582.540 * * [misc]simplify: iters left: 4 (34 enodes) 1545556582.544 * * [misc]simplify: iters left: 3 (37 enodes) 1545556582.549 * [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)))))) 1545556582.549 * [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))))) 1545556582.549 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.549 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.551 * * [misc]simplify: iters left: 5 (20 enodes) 1545556582.554 * * [misc]simplify: iters left: 4 (29 enodes) 1545556582.558 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.561 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.561 * [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))))) 1545556582.561 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1545556582.562 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545556582.562 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.564 * * [misc]simplify: iters left: 5 (24 enodes) 1545556582.568 * * [misc]simplify: iters left: 4 (39 enodes) 1545556582.573 * * [misc]simplify: iters left: 3 (54 enodes) 1545556582.579 * * [misc]simplify: iters left: 2 (80 enodes) 1545556582.589 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545556582.589 * [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)))) 1545556582.590 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545556582.590 * * [misc]simplify: iters left: 6 (13 enodes) 1545556582.592 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.594 * * [misc]simplify: iters left: 4 (28 enodes) 1545556582.598 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.602 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545556582.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556582.602 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1545556582.602 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.602 * * [misc]simplify: iters left: 6 (15 enodes) 1545556582.604 * * [misc]simplify: iters left: 5 (23 enodes) 1545556582.608 * * [misc]simplify: iters left: 4 (32 enodes) 1545556582.613 * * [misc]simplify: iters left: 3 (34 enodes) 1545556582.617 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.617 * [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))))) 1545556582.617 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556582.617 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.619 * * [misc]simplify: iters left: 5 (20 enodes) 1545556582.622 * * [misc]simplify: iters left: 4 (29 enodes) 1545556582.628 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.633 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556582.634 * [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))))) 1545556582.634 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1545556582.634 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.634 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.636 * * [misc]simplify: iters left: 5 (20 enodes) 1545556582.639 * * [misc]simplify: iters left: 4 (29 enodes) 1545556582.642 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.646 * [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))))) 1545556582.646 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.646 * * [misc]simplify: iters left: 6 (14 enodes) 1545556582.648 * * [misc]simplify: iters left: 5 (20 enodes) 1545556582.651 * * [misc]simplify: iters left: 4 (29 enodes) 1545556582.655 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.659 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556582.659 * [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))))) 1545556582.659 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1545556582.659 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545556582.659 * * [misc]simplify: iters left: 6 (13 enodes) 1545556582.661 * * [misc]simplify: iters left: 5 (21 enodes) 1545556582.664 * * [misc]simplify: iters left: 4 (32 enodes) 1545556582.668 * * [misc]simplify: iters left: 3 (33 enodes) 1545556582.672 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545556582.672 * [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)))) 1545556582.672 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545556582.672 * * [misc]simplify: iters left: 6 (13 enodes) 1545556582.674 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.677 * * [misc]simplify: iters left: 4 (28 enodes) 1545556582.680 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.684 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545556582.684 * [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)))) 1545556582.684 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1545556582.684 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556582.685 * * [misc]simplify: iters left: 6 (6 enodes) 1545556582.685 * * [misc]simplify: iters left: 5 (10 enodes) 1545556582.687 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545556582.687 * [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))))) 1545556582.687 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556582.687 * * [misc]simplify: iters left: 6 (13 enodes) 1545556582.691 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.698 * * [misc]simplify: iters left: 4 (28 enodes) 1545556582.705 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.713 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556582.713 * [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))))) 1545556582.713 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1545556582.713 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545556582.713 * * [misc]simplify: iters left: 4 (5 enodes) 1545556582.715 * * [misc]simplify: iters left: 3 (7 enodes) 1545556582.717 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545556582.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556582.717 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.717 * * [misc]simplify: iters left: 6 (13 enodes) 1545556582.721 * * [misc]simplify: iters left: 5 (19 enodes) 1545556582.727 * * [misc]simplify: iters left: 4 (28 enodes) 1545556582.734 * * [misc]simplify: iters left: 3 (30 enodes) 1545556582.742 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556582.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556582.742 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1545556582.742 * [enter]simplify: Simplifying (/ 1 1) 1545556582.742 * * [misc]simplify: iters left: 2 (2 enodes) 1545556582.743 * * [misc]simplify: iters left: 1 (4 enodes) 1545556582.744 * [exit]simplify: Simplified to 1 1545556582.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545556582.744 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545556582.744 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.748 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.750 * * [misc]simplify: iters left: 4 (27 enodes) 1545556582.754 * * [misc]simplify: iters left: 3 (29 enodes) 1545556582.757 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545556582.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545556582.757 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1545556582.757 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1545556582.757 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1545556582.757 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1545556582.758 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545556582.758 * * [misc]simplify: iters left: 2 (3 enodes) 1545556582.758 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545556582.758 * [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)))) 1545556582.758 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1545556582.758 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545556582.758 * * [misc]simplify: iters left: 2 (3 enodes) 1545556582.759 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545556582.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545556582.759 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1545556582.759 * [enter]simplify: Simplifying (sqrt k) 1545556582.759 * * [misc]simplify: iters left: 1 (2 enodes) 1545556582.759 * [exit]simplify: Simplified to (sqrt k) 1545556582.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545556582.759 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1545556582.760 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545556582.760 * * [misc]simplify: iters left: 5 (7 enodes) 1545556582.761 * * [misc]simplify: iters left: 4 (12 enodes) 1545556582.762 * * [misc]simplify: iters left: 3 (18 enodes) 1545556582.765 * * [misc]simplify: iters left: 2 (20 enodes) 1545556582.767 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545556582.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545556582.767 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1545556582.767 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545556582.767 * * [misc]simplify: iters left: 5 (7 enodes) 1545556582.768 * * [misc]simplify: iters left: 4 (12 enodes) 1545556582.770 * * [misc]simplify: iters left: 3 (18 enodes) 1545556582.773 * * [misc]simplify: iters left: 2 (20 enodes) 1545556582.778 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545556582.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545556582.778 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1545556582.779 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545556582.779 * * [misc]simplify: iters left: 5 (7 enodes) 1545556582.781 * * [misc]simplify: iters left: 4 (9 enodes) 1545556582.783 * * [misc]simplify: iters left: 3 (12 enodes) 1545556582.787 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545556582.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545556582.787 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1545556582.787 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545556582.787 * * [misc]simplify: iters left: 6 (12 enodes) 1545556582.791 * * [misc]simplify: iters left: 5 (18 enodes) 1545556582.796 * * [misc]simplify: iters left: 4 (27 enodes) 1545556582.799 * * [misc]simplify: iters left: 3 (29 enodes) 1545556582.803 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545556582.803 * [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))))))) 1545556582.803 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1545556582.803 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545556582.803 * * [misc]simplify: iters left: 6 (11 enodes) 1545556582.805 * * [misc]simplify: iters left: 5 (17 enodes) 1545556582.807 * * [misc]simplify: iters left: 4 (26 enodes) 1545556582.811 * * [misc]simplify: iters left: 3 (27 enodes) 1545556582.815 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545556582.815 * [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))))))) 1545556582.815 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1545556582.815 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1545556582.815 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545556582.815 * * [misc]simplify: iters left: 5 (7 enodes) 1545556582.816 * * [misc]simplify: iters left: 4 (12 enodes) 1545556582.818 * * [misc]simplify: iters left: 3 (18 enodes) 1545556582.820 * * [misc]simplify: iters left: 2 (20 enodes) 1545556582.822 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545556582.822 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545556582.822 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1545556582.823 * [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))))) 1545556582.823 * * [misc]simplify: iters left: 6 (37 enodes) 1545556582.838 * * [misc]simplify: iters left: 5 (105 enodes) 1545556582.881 * * [misc]simplify: iters left: 4 (339 enodes) 1545556583.093 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1545556583.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1545556583.094 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1545556583.094 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545556583.094 * * [misc]simplify: iters left: 6 (15 enodes) 1545556583.097 * * [misc]simplify: iters left: 5 (33 enodes) 1545556583.103 * * [misc]simplify: iters left: 4 (64 enodes) 1545556583.115 * * [misc]simplify: iters left: 3 (171 enodes) 1545556583.237 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545556583.237 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1545556583.237 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1545556583.238 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545556583.238 * * [misc]simplify: iters left: 6 (15 enodes) 1545556583.242 * * [misc]simplify: iters left: 5 (30 enodes) 1545556583.248 * * [misc]simplify: iters left: 4 (65 enodes) 1545556583.267 * * [misc]simplify: iters left: 3 (200 enodes) 1545556583.403 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545556583.403 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545556583.404 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1545556583.404 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545556583.404 * * [misc]simplify: iters left: 4 (5 enodes) 1545556583.405 * * [misc]simplify: iters left: 3 (9 enodes) 1545556583.406 * * [misc]simplify: iters left: 2 (15 enodes) 1545556583.408 * * [misc]simplify: iters left: 1 (17 enodes) 1545556583.410 * [exit]simplify: Simplified to (* (* PI n) 2) 1545556583.410 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556583.410 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1545556583.410 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545556583.410 * * [misc]simplify: iters left: 4 (5 enodes) 1545556583.411 * * [misc]simplify: iters left: 3 (9 enodes) 1545556583.414 * * [misc]simplify: iters left: 2 (15 enodes) 1545556583.418 * * [misc]simplify: iters left: 1 (17 enodes) 1545556583.422 * [exit]simplify: Simplified to (* (* PI n) 2) 1545556583.422 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556583.422 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1545556583.423 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545556583.423 * * [misc]simplify: iters left: 4 (5 enodes) 1545556583.424 * * [misc]simplify: iters left: 3 (9 enodes) 1545556583.427 * * [misc]simplify: iters left: 2 (15 enodes) 1545556583.431 * * [misc]simplify: iters left: 1 (17 enodes) 1545556583.435 * [exit]simplify: Simplified to (* (* PI n) 2) 1545556583.435 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556583.435 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1545556583.435 * [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)))))))))))))))))))))) 1545556583.436 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556583.436 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1545556583.436 * [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)))))))) 1545556583.436 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556583.436 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1545556583.436 * [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))))))))))) 1545556583.436 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556583.436 * * * [misc]progress: adding candidates to table 1545556584.439 * * [misc]progress: iteration 2 / 4 1545556584.439 * * * [misc]progress: picking best candidate 1545556584.497 * * * * [misc]pick: Picked # 1545556584.497 * * * [misc]progress: localizing error 1545556584.528 * * * [misc]progress: generating rewritten candidates 1545556584.528 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545556584.531 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545556584.533 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545556584.542 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545556584.556 * * * [misc]progress: generating series expansions 1545556584.556 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545556584.556 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545556584.556 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545556584.556 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.556 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.556 * [misc]taylor: Taking taylor expansion of k in k 1545556584.556 * [misc]backup-simplify: Simplify 0 into 0 1545556584.556 * [misc]backup-simplify: Simplify 1 into 1 1545556584.556 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556584.556 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.556 * [misc]backup-simplify: Simplify 2 into 2 1545556584.557 * [misc]taylor: Taking taylor expansion of n in k 1545556584.557 * [misc]backup-simplify: Simplify n into n 1545556584.557 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556584.557 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556584.557 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.557 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.557 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.557 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556584.557 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556584.557 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.558 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.558 * [misc]taylor: Taking taylor expansion of k in n 1545556584.558 * [misc]backup-simplify: Simplify k into k 1545556584.558 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.558 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.558 * [misc]backup-simplify: Simplify 2 into 2 1545556584.558 * [misc]taylor: Taking taylor expansion of n in n 1545556584.558 * [misc]backup-simplify: Simplify 0 into 0 1545556584.558 * [misc]backup-simplify: Simplify 1 into 1 1545556584.558 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.558 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.558 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.559 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.559 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.559 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.559 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.559 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556584.560 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545556584.560 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.560 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.560 * [misc]taylor: Taking taylor expansion of k in n 1545556584.560 * [misc]backup-simplify: Simplify k into k 1545556584.560 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.560 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.560 * [misc]backup-simplify: Simplify 2 into 2 1545556584.560 * [misc]taylor: Taking taylor expansion of n in n 1545556584.560 * [misc]backup-simplify: Simplify 0 into 0 1545556584.560 * [misc]backup-simplify: Simplify 1 into 1 1545556584.560 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.561 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.561 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.561 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.561 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.561 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.561 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.562 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556584.562 * [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)))) 1545556584.562 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545556584.562 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545556584.562 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545556584.562 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556584.562 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.562 * [misc]backup-simplify: Simplify 2 into 2 1545556584.562 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.562 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.562 * [misc]taylor: Taking taylor expansion of n in k 1545556584.562 * [misc]backup-simplify: Simplify n into n 1545556584.562 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.562 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.563 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.563 * [misc]taylor: Taking taylor expansion of k in k 1545556584.563 * [misc]backup-simplify: Simplify 0 into 0 1545556584.563 * [misc]backup-simplify: Simplify 1 into 1 1545556584.563 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545556584.563 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.563 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.563 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.564 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545556584.564 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556584.564 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556584.565 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.567 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.567 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556584.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.568 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.568 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556584.569 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.569 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.569 * [misc]backup-simplify: Simplify 0 into 0 1545556584.569 * [misc]backup-simplify: Simplify 0 into 0 1545556584.569 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556584.569 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.569 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.571 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556584.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.571 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545556584.572 * [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))))) 1545556584.572 * [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))))) 1545556584.572 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556584.575 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556584.575 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.575 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.575 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.576 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545556584.577 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556584.577 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.577 * [misc]backup-simplify: Simplify 0 into 0 1545556584.577 * [misc]backup-simplify: Simplify 0 into 0 1545556584.577 * [misc]backup-simplify: Simplify 0 into 0 1545556584.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.577 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.580 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.581 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556584.581 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.581 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545556584.582 * [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))))) 1545556584.583 * [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))))) 1545556584.585 * [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))))) 1545556584.585 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.585 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545556584.585 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of k in k 1545556584.585 * [misc]backup-simplify: Simplify 0 into 0 1545556584.585 * [misc]backup-simplify: Simplify 1 into 1 1545556584.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.585 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556584.585 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.585 * [misc]backup-simplify: Simplify 2 into 2 1545556584.585 * [misc]taylor: Taking taylor expansion of n in k 1545556584.585 * [misc]backup-simplify: Simplify n into n 1545556584.585 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556584.585 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556584.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.585 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.586 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.586 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556584.586 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.586 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of k in n 1545556584.586 * [misc]backup-simplify: Simplify k into k 1545556584.586 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.586 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556584.586 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.586 * [misc]backup-simplify: Simplify 2 into 2 1545556584.586 * [misc]taylor: Taking taylor expansion of n in n 1545556584.586 * [misc]backup-simplify: Simplify 0 into 0 1545556584.586 * [misc]backup-simplify: Simplify 1 into 1 1545556584.586 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556584.586 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.586 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.586 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556584.586 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556584.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.587 * [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))) 1545556584.587 * [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)))) 1545556584.587 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.587 * [misc]taylor: Taking taylor expansion of k in n 1545556584.587 * [misc]backup-simplify: Simplify k into k 1545556584.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.590 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556584.590 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556584.590 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.590 * [misc]backup-simplify: Simplify 2 into 2 1545556584.590 * [misc]taylor: Taking taylor expansion of n in n 1545556584.590 * [misc]backup-simplify: Simplify 0 into 0 1545556584.590 * [misc]backup-simplify: Simplify 1 into 1 1545556584.591 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556584.591 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.591 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.591 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556584.591 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556584.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.592 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545556584.592 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545556584.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of k in k 1545556584.592 * [misc]backup-simplify: Simplify 0 into 0 1545556584.592 * [misc]backup-simplify: Simplify 1 into 1 1545556584.592 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.592 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.592 * [misc]backup-simplify: Simplify 2 into 2 1545556584.592 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.592 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.592 * [misc]taylor: Taking taylor expansion of n in k 1545556584.592 * [misc]backup-simplify: Simplify n into n 1545556584.592 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.593 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.593 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.593 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.593 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556584.593 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545556584.593 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545556584.593 * [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)))) 1545556584.593 * [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)))) 1545556584.594 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556584.595 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.595 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.595 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556584.596 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.597 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556584.598 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.598 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.598 * [misc]backup-simplify: Simplify 0 into 0 1545556584.598 * [misc]backup-simplify: Simplify 0 into 0 1545556584.598 * [misc]backup-simplify: Simplify 0 into 0 1545556584.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.603 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.603 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556584.604 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.604 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.605 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556584.607 * [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 1545556584.607 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.607 * [misc]backup-simplify: Simplify 0 into 0 1545556584.607 * [misc]backup-simplify: Simplify 0 into 0 1545556584.607 * [misc]backup-simplify: Simplify 0 into 0 1545556584.607 * [misc]backup-simplify: Simplify 0 into 0 1545556584.608 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.615 * [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 1545556584.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556584.616 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.616 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.617 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545556584.621 * [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 1545556584.621 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.621 * [misc]backup-simplify: Simplify 0 into 0 1545556584.621 * [misc]backup-simplify: Simplify 0 into 0 1545556584.621 * [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)))) 1545556584.621 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.622 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545556584.622 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of k in k 1545556584.622 * [misc]backup-simplify: Simplify 0 into 0 1545556584.622 * [misc]backup-simplify: Simplify 1 into 1 1545556584.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.622 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556584.622 * [misc]taylor: Taking taylor expansion of -2 in k 1545556584.622 * [misc]backup-simplify: Simplify -2 into -2 1545556584.622 * [misc]taylor: Taking taylor expansion of n in k 1545556584.622 * [misc]backup-simplify: Simplify n into n 1545556584.622 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556584.622 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556584.623 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.623 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.623 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556584.623 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.623 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.623 * [misc]taylor: Taking taylor expansion of k in n 1545556584.623 * [misc]backup-simplify: Simplify k into k 1545556584.623 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.624 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.624 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556584.624 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556584.624 * [misc]taylor: Taking taylor expansion of -2 in n 1545556584.624 * [misc]backup-simplify: Simplify -2 into -2 1545556584.624 * [misc]taylor: Taking taylor expansion of n in n 1545556584.624 * [misc]backup-simplify: Simplify 0 into 0 1545556584.624 * [misc]backup-simplify: Simplify 1 into 1 1545556584.624 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556584.624 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.624 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.624 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556584.625 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.625 * [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))) 1545556584.625 * [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)))) 1545556584.625 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556584.625 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556584.625 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556584.625 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556584.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.626 * [misc]taylor: Taking taylor expansion of k in n 1545556584.626 * [misc]backup-simplify: Simplify k into k 1545556584.626 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.626 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.626 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556584.626 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556584.626 * [misc]taylor: Taking taylor expansion of -2 in n 1545556584.626 * [misc]backup-simplify: Simplify -2 into -2 1545556584.626 * [misc]taylor: Taking taylor expansion of n in n 1545556584.626 * [misc]backup-simplify: Simplify 0 into 0 1545556584.626 * [misc]backup-simplify: Simplify 1 into 1 1545556584.626 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556584.626 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.626 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.627 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556584.627 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.627 * [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))) 1545556584.628 * [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)))) 1545556584.628 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of k in k 1545556584.628 * [misc]backup-simplify: Simplify 0 into 0 1545556584.628 * [misc]backup-simplify: Simplify 1 into 1 1545556584.628 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.628 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545556584.628 * [misc]taylor: Taking taylor expansion of -2 in k 1545556584.628 * [misc]backup-simplify: Simplify -2 into -2 1545556584.628 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.629 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.629 * [misc]taylor: Taking taylor expansion of n in k 1545556584.629 * [misc]backup-simplify: Simplify n into n 1545556584.629 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.629 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.629 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.629 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556584.629 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545556584.629 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545556584.630 * [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)))) 1545556584.630 * [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)))) 1545556584.631 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556584.633 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556584.633 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556584.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.634 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.634 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556584.636 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.636 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.636 * [misc]backup-simplify: Simplify 0 into 0 1545556584.636 * [misc]backup-simplify: Simplify 0 into 0 1545556584.636 * [misc]backup-simplify: Simplify 0 into 0 1545556584.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.641 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556584.641 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556584.642 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.643 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556584.645 * [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 1545556584.645 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.645 * [misc]backup-simplify: Simplify 0 into 0 1545556584.645 * [misc]backup-simplify: Simplify 0 into 0 1545556584.645 * [misc]backup-simplify: Simplify 0 into 0 1545556584.645 * [misc]backup-simplify: Simplify 0 into 0 1545556584.645 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.653 * [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 1545556584.653 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.654 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556584.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.654 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.655 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545556584.659 * [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 1545556584.659 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.659 * [misc]backup-simplify: Simplify 0 into 0 1545556584.659 * [misc]backup-simplify: Simplify 0 into 0 1545556584.659 * [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))))) 1545556584.659 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545556584.659 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545556584.659 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545556584.659 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.660 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.660 * [misc]taylor: Taking taylor expansion of k in k 1545556584.660 * [misc]backup-simplify: Simplify 0 into 0 1545556584.660 * [misc]backup-simplify: Simplify 1 into 1 1545556584.660 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.660 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.660 * [misc]backup-simplify: Simplify PI into PI 1545556584.660 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.660 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.660 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.660 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.661 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.661 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556584.661 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.661 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.661 * [misc]taylor: Taking taylor expansion of k in k 1545556584.661 * [misc]backup-simplify: Simplify 0 into 0 1545556584.661 * [misc]backup-simplify: Simplify 1 into 1 1545556584.661 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.661 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.661 * [misc]backup-simplify: Simplify PI into PI 1545556584.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.662 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.662 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.662 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.662 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.662 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556584.663 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545556584.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556584.664 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556584.664 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.664 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556584.667 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556584.667 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556584.670 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556584.670 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.670 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.670 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.671 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556584.673 * [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))) 1545556584.674 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545556584.676 * [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)))) 1545556584.676 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.676 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545556584.676 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.676 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.676 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.676 * [misc]taylor: Taking taylor expansion of k in k 1545556584.676 * [misc]backup-simplify: Simplify 0 into 0 1545556584.676 * [misc]backup-simplify: Simplify 1 into 1 1545556584.676 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.676 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.677 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.677 * [misc]backup-simplify: Simplify PI into PI 1545556584.677 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.677 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.677 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.677 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.677 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556584.677 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.678 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.678 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.678 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of k in k 1545556584.678 * [misc]backup-simplify: Simplify 0 into 0 1545556584.678 * [misc]backup-simplify: Simplify 1 into 1 1545556584.678 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.678 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.678 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.678 * [misc]backup-simplify: Simplify PI into PI 1545556584.678 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.678 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.678 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.678 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.679 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556584.679 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.679 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify 0 into 0 1545556584.679 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545556584.679 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.679 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545556584.679 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556584.679 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556584.679 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556584.679 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.679 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.680 * [misc]taylor: Taking taylor expansion of k in k 1545556584.680 * [misc]backup-simplify: Simplify 0 into 0 1545556584.680 * [misc]backup-simplify: Simplify 1 into 1 1545556584.680 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.680 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.680 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.680 * [misc]backup-simplify: Simplify PI into PI 1545556584.680 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.680 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.680 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.680 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.681 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.681 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of k in k 1545556584.681 * [misc]backup-simplify: Simplify 0 into 0 1545556584.681 * [misc]backup-simplify: Simplify 1 into 1 1545556584.681 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.681 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.681 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.681 * [misc]backup-simplify: Simplify PI into PI 1545556584.681 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.681 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.681 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.682 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.682 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.682 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify 0 into 0 1545556584.682 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545556584.682 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545556584.682 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545556584.682 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545556584.682 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545556584.682 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.683 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.683 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.683 * [misc]taylor: Taking taylor expansion of k in k 1545556584.683 * [misc]backup-simplify: Simplify 0 into 0 1545556584.683 * [misc]backup-simplify: Simplify 1 into 1 1545556584.683 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.683 * [misc]backup-simplify: Simplify 2 into 2 1545556584.683 * [misc]taylor: Taking taylor expansion of n in k 1545556584.683 * [misc]backup-simplify: Simplify n into n 1545556584.683 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556584.683 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556584.683 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.683 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.683 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.683 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556584.683 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556584.683 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.683 * [misc]taylor: Taking taylor expansion of k in k 1545556584.683 * [misc]backup-simplify: Simplify 0 into 0 1545556584.683 * [misc]backup-simplify: Simplify 1 into 1 1545556584.683 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.684 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.684 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.684 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.684 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.684 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.684 * [misc]taylor: Taking taylor expansion of k in n 1545556584.684 * [misc]backup-simplify: Simplify k into k 1545556584.684 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.684 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.684 * [misc]backup-simplify: Simplify 2 into 2 1545556584.684 * [misc]taylor: Taking taylor expansion of n in n 1545556584.684 * [misc]backup-simplify: Simplify 0 into 0 1545556584.684 * [misc]backup-simplify: Simplify 1 into 1 1545556584.684 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.684 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.685 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.685 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.685 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.685 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.685 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556584.685 * [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)))) 1545556584.685 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556584.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.685 * [misc]taylor: Taking taylor expansion of k in n 1545556584.685 * [misc]backup-simplify: Simplify k into k 1545556584.685 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.685 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556584.686 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.686 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556584.686 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.686 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.686 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.686 * [misc]taylor: Taking taylor expansion of k in n 1545556584.686 * [misc]backup-simplify: Simplify k into k 1545556584.686 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.686 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.686 * [misc]backup-simplify: Simplify 2 into 2 1545556584.686 * [misc]taylor: Taking taylor expansion of n in n 1545556584.686 * [misc]backup-simplify: Simplify 0 into 0 1545556584.686 * [misc]backup-simplify: Simplify 1 into 1 1545556584.686 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.686 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.686 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.686 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.686 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.686 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.687 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.687 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556584.687 * [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)))) 1545556584.687 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556584.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.687 * [misc]taylor: Taking taylor expansion of k in n 1545556584.687 * [misc]backup-simplify: Simplify k into k 1545556584.687 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.687 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556584.687 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.687 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556584.688 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545556584.688 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.688 * [misc]backup-simplify: Simplify 2 into 2 1545556584.688 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.688 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of n in k 1545556584.688 * [misc]backup-simplify: Simplify n into n 1545556584.688 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.688 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.688 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.688 * [misc]taylor: Taking taylor expansion of k in k 1545556584.688 * [misc]backup-simplify: Simplify 0 into 0 1545556584.688 * [misc]backup-simplify: Simplify 1 into 1 1545556584.688 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545556584.688 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.688 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.688 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.689 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545556584.689 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556584.689 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556584.689 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.689 * [misc]taylor: Taking taylor expansion of k in k 1545556584.689 * [misc]backup-simplify: Simplify 0 into 0 1545556584.689 * [misc]backup-simplify: Simplify 1 into 1 1545556584.689 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.689 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.689 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.689 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545556584.689 * [misc]backup-simplify: Simplify 0 into 0 1545556584.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.691 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.691 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556584.691 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.692 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.692 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556584.693 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.693 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545556584.693 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.693 * [misc]backup-simplify: Simplify 0 into 0 1545556584.693 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556584.693 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.693 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.695 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556584.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.696 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545556584.696 * [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))))) 1545556584.697 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545556584.698 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545556584.698 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.699 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545556584.699 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556584.703 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556584.704 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.704 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.705 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545556584.707 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556584.708 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545556584.708 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.708 * [misc]backup-simplify: Simplify 0 into 0 1545556584.708 * [misc]backup-simplify: Simplify 0 into 0 1545556584.708 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556584.709 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556584.709 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.710 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.710 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.714 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.715 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556584.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.716 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545556584.718 * [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))))) 1545556584.720 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (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))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545556584.720 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545556584.721 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.721 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545556584.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545556584.725 * [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 1545556584.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545556584.725 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.726 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.726 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545556584.729 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545556584.730 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545556584.730 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.730 * [misc]backup-simplify: Simplify 0 into 0 1545556584.730 * [misc]backup-simplify: Simplify 0 into 0 1545556584.730 * [misc]backup-simplify: Simplify 0 into 0 1545556584.730 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.731 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556584.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556584.731 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.735 * [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 1545556584.736 * [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 1545556584.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.737 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545556584.738 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1545556584.743 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (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))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545556584.746 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545556584.752 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545556584.753 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1545556584.753 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545556584.753 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.753 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.753 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.753 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.753 * [misc]taylor: Taking taylor expansion of k in k 1545556584.753 * [misc]backup-simplify: Simplify 0 into 0 1545556584.753 * [misc]backup-simplify: Simplify 1 into 1 1545556584.753 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.754 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556584.754 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556584.754 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.754 * [misc]backup-simplify: Simplify 2 into 2 1545556584.754 * [misc]taylor: Taking taylor expansion of n in k 1545556584.754 * [misc]backup-simplify: Simplify n into n 1545556584.754 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556584.754 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556584.754 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.754 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.754 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.754 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556584.754 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556584.754 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556584.755 * [misc]taylor: Taking taylor expansion of k in k 1545556584.755 * [misc]backup-simplify: Simplify 0 into 0 1545556584.755 * [misc]backup-simplify: Simplify 1 into 1 1545556584.755 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.755 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.755 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545556584.755 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556584.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556584.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556584.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556584.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.756 * [misc]taylor: Taking taylor expansion of k in n 1545556584.756 * [misc]backup-simplify: Simplify k into k 1545556584.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.756 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556584.756 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556584.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.756 * [misc]backup-simplify: Simplify 2 into 2 1545556584.756 * [misc]taylor: Taking taylor expansion of n in n 1545556584.756 * [misc]backup-simplify: Simplify 0 into 0 1545556584.756 * [misc]backup-simplify: Simplify 1 into 1 1545556584.756 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556584.756 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.756 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556584.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556584.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.757 * [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))) 1545556584.757 * [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)))) 1545556584.757 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556584.757 * [misc]taylor: Taking taylor expansion of k in n 1545556584.757 * [misc]backup-simplify: Simplify k into k 1545556584.757 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556584.757 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556584.757 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of k in n 1545556584.758 * [misc]backup-simplify: Simplify k into k 1545556584.758 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.758 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556584.758 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.758 * [misc]backup-simplify: Simplify 2 into 2 1545556584.758 * [misc]taylor: Taking taylor expansion of n in n 1545556584.758 * [misc]backup-simplify: Simplify 0 into 0 1545556584.758 * [misc]backup-simplify: Simplify 1 into 1 1545556584.758 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556584.758 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.758 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.758 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556584.759 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556584.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.759 * [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))) 1545556584.759 * [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)))) 1545556584.759 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556584.759 * [misc]taylor: Taking taylor expansion of k in n 1545556584.760 * [misc]backup-simplify: Simplify k into k 1545556584.760 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556584.760 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556584.760 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545556584.760 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545556584.760 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556584.760 * [misc]taylor: Taking taylor expansion of k in k 1545556584.760 * [misc]backup-simplify: Simplify 0 into 0 1545556584.760 * [misc]backup-simplify: Simplify 1 into 1 1545556584.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.761 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.761 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of k in k 1545556584.761 * [misc]backup-simplify: Simplify 0 into 0 1545556584.761 * [misc]backup-simplify: Simplify 1 into 1 1545556584.761 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.761 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556584.761 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.761 * [misc]backup-simplify: Simplify 2 into 2 1545556584.762 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.762 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.762 * [misc]taylor: Taking taylor expansion of n in k 1545556584.762 * [misc]backup-simplify: Simplify n into n 1545556584.762 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.762 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.762 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.762 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.762 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556584.762 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545556584.763 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545556584.763 * [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)))) 1545556584.763 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545556584.763 * [misc]backup-simplify: Simplify 0 into 0 1545556584.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556584.767 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.767 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556584.767 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.768 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.768 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556584.770 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.770 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545556584.770 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.770 * [misc]backup-simplify: Simplify 0 into 0 1545556584.770 * [misc]backup-simplify: Simplify 0 into 0 1545556584.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.771 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.772 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545556584.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.776 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556584.777 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556584.777 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.778 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.778 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556584.780 * [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 1545556584.781 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545556584.781 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.781 * [misc]backup-simplify: Simplify 0 into 0 1545556584.781 * [misc]backup-simplify: Simplify 0 into 0 1545556584.781 * [misc]backup-simplify: Simplify 0 into 0 1545556584.782 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556584.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.783 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.784 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545556584.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.791 * [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 1545556584.791 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.791 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556584.792 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556584.793 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545556584.796 * [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 1545556584.797 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545556584.797 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.797 * [misc]backup-simplify: Simplify 0 into 0 1545556584.797 * [misc]backup-simplify: Simplify 0 into 0 1545556584.797 * [misc]backup-simplify: Simplify 0 into 0 1545556584.797 * [misc]backup-simplify: Simplify 0 into 0 1545556584.798 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556584.799 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.800 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556584.801 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545556584.802 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545556584.802 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545556584.802 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.802 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.802 * [misc]taylor: Taking taylor expansion of k in k 1545556584.802 * [misc]backup-simplify: Simplify 0 into 0 1545556584.802 * [misc]backup-simplify: Simplify 1 into 1 1545556584.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.803 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.803 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556584.803 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556584.803 * [misc]taylor: Taking taylor expansion of -2 in k 1545556584.803 * [misc]backup-simplify: Simplify -2 into -2 1545556584.803 * [misc]taylor: Taking taylor expansion of n in k 1545556584.803 * [misc]backup-simplify: Simplify n into n 1545556584.803 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556584.803 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556584.803 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.803 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.803 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556584.804 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556584.804 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556584.804 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556584.804 * [misc]taylor: Taking taylor expansion of -1 in k 1545556584.804 * [misc]backup-simplify: Simplify -1 into -1 1545556584.804 * [misc]taylor: Taking taylor expansion of k in k 1545556584.804 * [misc]backup-simplify: Simplify 0 into 0 1545556584.804 * [misc]backup-simplify: Simplify 1 into 1 1545556584.804 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556584.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.805 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556584.805 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545556584.805 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of k in n 1545556584.805 * [misc]backup-simplify: Simplify k into k 1545556584.805 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.805 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556584.805 * [misc]taylor: Taking taylor expansion of -2 in n 1545556584.805 * [misc]backup-simplify: Simplify -2 into -2 1545556584.805 * [misc]taylor: Taking taylor expansion of n in n 1545556584.805 * [misc]backup-simplify: Simplify 0 into 0 1545556584.805 * [misc]backup-simplify: Simplify 1 into 1 1545556584.806 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556584.806 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.806 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.806 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556584.806 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.807 * [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))) 1545556584.807 * [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)))) 1545556584.807 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556584.807 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556584.807 * [misc]taylor: Taking taylor expansion of -1 in n 1545556584.807 * [misc]backup-simplify: Simplify -1 into -1 1545556584.807 * [misc]taylor: Taking taylor expansion of k in n 1545556584.807 * [misc]backup-simplify: Simplify k into k 1545556584.807 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556584.807 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556584.807 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556584.807 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556584.808 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545556584.808 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of k in n 1545556584.808 * [misc]backup-simplify: Simplify k into k 1545556584.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.808 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556584.808 * [misc]taylor: Taking taylor expansion of -2 in n 1545556584.808 * [misc]backup-simplify: Simplify -2 into -2 1545556584.808 * [misc]taylor: Taking taylor expansion of n in n 1545556584.808 * [misc]backup-simplify: Simplify 0 into 0 1545556584.808 * [misc]backup-simplify: Simplify 1 into 1 1545556584.809 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556584.809 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556584.809 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556584.809 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.810 * [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))) 1545556584.810 * [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)))) 1545556584.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556584.810 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556584.810 * [misc]taylor: Taking taylor expansion of -1 in n 1545556584.810 * [misc]backup-simplify: Simplify -1 into -1 1545556584.810 * [misc]taylor: Taking taylor expansion of k in n 1545556584.810 * [misc]backup-simplify: Simplify k into k 1545556584.810 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556584.810 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556584.810 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556584.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556584.811 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545556584.811 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.811 * [misc]taylor: Taking taylor expansion of k in k 1545556584.811 * [misc]backup-simplify: Simplify 0 into 0 1545556584.811 * [misc]backup-simplify: Simplify 1 into 1 1545556584.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.812 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545556584.812 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545556584.812 * [misc]taylor: Taking taylor expansion of -2 in k 1545556584.812 * [misc]backup-simplify: Simplify -2 into -2 1545556584.812 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556584.812 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556584.812 * [misc]taylor: Taking taylor expansion of n in k 1545556584.812 * [misc]backup-simplify: Simplify n into n 1545556584.812 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556584.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556584.812 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.812 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556584.813 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545556584.813 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545556584.813 * [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)))) 1545556584.813 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556584.813 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556584.813 * [misc]taylor: Taking taylor expansion of -1 in k 1545556584.813 * [misc]backup-simplify: Simplify -1 into -1 1545556584.813 * [misc]taylor: Taking taylor expansion of k in k 1545556584.813 * [misc]backup-simplify: Simplify 0 into 0 1545556584.813 * [misc]backup-simplify: Simplify 1 into 1 1545556584.814 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556584.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.814 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556584.815 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545556584.815 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545556584.815 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556584.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556584.818 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556584.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.819 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556584.820 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556584.821 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545556584.821 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.821 * [misc]backup-simplify: Simplify 0 into 0 1545556584.821 * [misc]backup-simplify: Simplify 0 into 0 1545556584.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556584.822 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556584.823 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556584.823 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556584.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.828 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556584.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556584.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.829 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556584.829 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556584.832 * [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 1545556584.832 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556584.833 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545556584.833 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545556584.833 * [misc]taylor: Taking taylor expansion of 0 in k 1545556584.833 * [misc]backup-simplify: Simplify 0 into 0 1545556584.833 * [misc]backup-simplify: Simplify 0 into 0 1545556584.833 * [misc]backup-simplify: Simplify 0 into 0 1545556584.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.835 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556584.836 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556584.837 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556584.838 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545556584.838 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545556584.839 * [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))) 1545556584.839 * [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 1545556584.839 * [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 1545556584.839 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.839 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.839 * [misc]taylor: Taking taylor expansion of k in n 1545556584.839 * [misc]backup-simplify: Simplify k into k 1545556584.839 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.839 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.839 * [misc]backup-simplify: Simplify 2 into 2 1545556584.839 * [misc]taylor: Taking taylor expansion of n in n 1545556584.839 * [misc]backup-simplify: Simplify 0 into 0 1545556584.839 * [misc]backup-simplify: Simplify 1 into 1 1545556584.840 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.840 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.840 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.840 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.840 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.840 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.841 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.841 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556584.841 * [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)))) 1545556584.841 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545556584.841 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545556584.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545556584.841 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556584.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.841 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556584.841 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556584.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.841 * [misc]taylor: Taking taylor expansion of k in n 1545556584.841 * [misc]backup-simplify: Simplify k into k 1545556584.842 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556584.842 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.842 * [misc]backup-simplify: Simplify PI into PI 1545556584.842 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.842 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556584.842 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556584.842 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556584.843 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556584.843 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545556584.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556584.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556584.843 * [misc]taylor: Taking taylor expansion of k in n 1545556584.843 * [misc]backup-simplify: Simplify k into k 1545556584.843 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556584.843 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556584.843 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556584.844 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556584.844 * [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 1545556584.844 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.844 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.844 * [misc]taylor: Taking taylor expansion of k in k 1545556584.844 * [misc]backup-simplify: Simplify 0 into 0 1545556584.844 * [misc]backup-simplify: Simplify 1 into 1 1545556584.844 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556584.844 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.844 * [misc]backup-simplify: Simplify 2 into 2 1545556584.844 * [misc]taylor: Taking taylor expansion of n in k 1545556584.844 * [misc]backup-simplify: Simplify n into n 1545556584.844 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556584.844 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556584.844 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.845 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.845 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.845 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556584.845 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556584.845 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.845 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.845 * [misc]taylor: Taking taylor expansion of k in k 1545556584.845 * [misc]backup-simplify: Simplify 0 into 0 1545556584.845 * [misc]backup-simplify: Simplify 1 into 1 1545556584.845 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.845 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.845 * [misc]backup-simplify: Simplify PI into PI 1545556584.846 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.846 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.846 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.846 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.846 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.847 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556584.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556584.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.847 * [misc]taylor: Taking taylor expansion of k in k 1545556584.847 * [misc]backup-simplify: Simplify 0 into 0 1545556584.847 * [misc]backup-simplify: Simplify 1 into 1 1545556584.847 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.848 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.848 * [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 1545556584.848 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.848 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.848 * [misc]taylor: Taking taylor expansion of k in k 1545556584.848 * [misc]backup-simplify: Simplify 0 into 0 1545556584.849 * [misc]backup-simplify: Simplify 1 into 1 1545556584.849 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556584.849 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556584.849 * [misc]taylor: Taking taylor expansion of 2 in k 1545556584.849 * [misc]backup-simplify: Simplify 2 into 2 1545556584.849 * [misc]taylor: Taking taylor expansion of n in k 1545556584.849 * [misc]backup-simplify: Simplify n into n 1545556584.849 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556584.849 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556584.849 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.849 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.849 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.849 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556584.849 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556584.849 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.850 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556584.850 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556584.850 * [misc]taylor: Taking taylor expansion of k in k 1545556584.850 * [misc]backup-simplify: Simplify 0 into 0 1545556584.850 * [misc]backup-simplify: Simplify 1 into 1 1545556584.850 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556584.850 * [misc]taylor: Taking taylor expansion of PI in k 1545556584.850 * [misc]backup-simplify: Simplify PI into PI 1545556584.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.850 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556584.851 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.851 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556584.851 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556584.853 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556584.853 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556584.853 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556584.853 * [misc]taylor: Taking taylor expansion of k in k 1545556584.853 * [misc]backup-simplify: Simplify 0 into 0 1545556584.853 * [misc]backup-simplify: Simplify 1 into 1 1545556584.853 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556584.853 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.853 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556584.854 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545556584.854 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545556584.854 * [misc]taylor: Taking taylor expansion of 0 in n 1545556584.854 * [misc]backup-simplify: Simplify 0 into 0 1545556584.854 * [misc]backup-simplify: Simplify 0 into 0 1545556584.856 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556584.857 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556584.857 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.857 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.858 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556584.861 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556584.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545556584.862 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545556584.862 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556584.863 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556584.863 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556584.863 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545556584.863 * [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)))) 1545556584.865 * [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)))))) 1545556584.866 * [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))))) 1545556584.867 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.867 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.867 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.867 * [misc]backup-simplify: Simplify 2 into 2 1545556584.867 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.867 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.867 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556584.867 * [misc]taylor: Taking taylor expansion of n in n 1545556584.867 * [misc]backup-simplify: Simplify 0 into 0 1545556584.867 * [misc]backup-simplify: Simplify 1 into 1 1545556584.867 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.867 * [misc]backup-simplify: Simplify PI into PI 1545556584.868 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556584.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556584.868 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.869 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.869 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556584.869 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.870 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.870 * [misc]backup-simplify: Simplify 0 into 0 1545556584.870 * [misc]backup-simplify: Simplify 0 into 0 1545556584.870 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556584.871 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556584.875 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556584.876 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.876 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.877 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556584.883 * [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))) 1545556584.883 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545556584.885 * [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 1545556584.885 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.885 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545556584.887 * [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))) 1545556584.890 * [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))))))) 1545556584.894 * [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))))))))) 1545556584.895 * [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 1545556584.895 * [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 1545556584.895 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556584.895 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.895 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.895 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556584.895 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556584.895 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.895 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.895 * [misc]backup-simplify: Simplify 2 into 2 1545556584.895 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.895 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556584.895 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.896 * [misc]backup-simplify: Simplify PI into PI 1545556584.896 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.896 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.896 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.896 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.896 * [misc]backup-simplify: Simplify PI into PI 1545556584.896 * [misc]taylor: Taking taylor expansion of n in n 1545556584.896 * [misc]backup-simplify: Simplify 0 into 0 1545556584.896 * [misc]backup-simplify: Simplify 1 into 1 1545556584.896 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.897 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.897 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.897 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.897 * [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 1545556584.898 * [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 1545556584.898 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556584.898 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.898 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.898 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556584.898 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.898 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.898 * [misc]backup-simplify: Simplify 2 into 2 1545556584.898 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.898 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556584.898 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556584.898 * [misc]taylor: Taking taylor expansion of n in n 1545556584.898 * [misc]backup-simplify: Simplify 0 into 0 1545556584.898 * [misc]backup-simplify: Simplify 1 into 1 1545556584.898 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.898 * [misc]backup-simplify: Simplify PI into PI 1545556584.899 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556584.899 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556584.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.900 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.900 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556584.900 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556584.900 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.900 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.900 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556584.900 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556584.900 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.900 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.900 * [misc]backup-simplify: Simplify 2 into 2 1545556584.900 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.901 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.901 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.901 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.901 * [misc]backup-simplify: Simplify 2 into 2 1545556584.901 * [misc]taylor: Taking taylor expansion of n in n 1545556584.901 * [misc]backup-simplify: Simplify 0 into 0 1545556584.901 * [misc]backup-simplify: Simplify 1 into 1 1545556584.901 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.901 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.901 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.901 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.901 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.902 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.902 * [misc]backup-simplify: Simplify PI into PI 1545556584.902 * [misc]taylor: Taking taylor expansion of n in n 1545556584.902 * [misc]backup-simplify: Simplify 0 into 0 1545556584.902 * [misc]backup-simplify: Simplify 1 into 1 1545556584.902 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.903 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.903 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.904 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.904 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556584.906 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556584.906 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.906 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556584.906 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.907 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.907 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556584.907 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.908 * [misc]backup-simplify: Simplify 0 into 0 1545556584.910 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.911 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.913 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.914 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.914 * [misc]backup-simplify: Simplify 0 into 0 1545556584.914 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556584.915 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556584.922 * [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 1545556584.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556584.922 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556584.931 * [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))) 1545556584.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545556584.934 * [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 1545556584.935 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556584.935 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.935 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.935 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545556584.937 * [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))) 1545556584.943 * [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))))))))) 1545556584.952 * [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))))))))))))))) 1545556584.952 * [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 1545556584.952 * [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 1545556584.952 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556584.952 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.952 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.952 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556584.952 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556584.952 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.952 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.952 * [misc]backup-simplify: Simplify 2 into 2 1545556584.953 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.953 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.953 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556584.953 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.953 * [misc]backup-simplify: Simplify PI into PI 1545556584.954 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.954 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.954 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.954 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.954 * [misc]backup-simplify: Simplify PI into PI 1545556584.954 * [misc]taylor: Taking taylor expansion of n in n 1545556584.954 * [misc]backup-simplify: Simplify 0 into 0 1545556584.954 * [misc]backup-simplify: Simplify 1 into 1 1545556584.954 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.955 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.955 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.955 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.955 * [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 1545556584.955 * [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 1545556584.955 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545556584.955 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.955 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.955 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.956 * [misc]backup-simplify: Simplify 2 into 2 1545556584.956 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.956 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.956 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.956 * [misc]backup-simplify: Simplify PI into PI 1545556584.956 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.956 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.956 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.956 * [misc]backup-simplify: Simplify PI into PI 1545556584.956 * [misc]taylor: Taking taylor expansion of n in n 1545556584.957 * [misc]backup-simplify: Simplify 0 into 0 1545556584.957 * [misc]backup-simplify: Simplify 1 into 1 1545556584.957 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.957 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.958 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.958 * [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 1545556584.958 * [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 1545556584.958 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545556584.958 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.958 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.958 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545556584.958 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545556584.958 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.958 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.958 * [misc]backup-simplify: Simplify 2 into 2 1545556584.959 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.959 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.959 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545556584.959 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.959 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.959 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.959 * [misc]backup-simplify: Simplify 2 into 2 1545556584.959 * [misc]taylor: Taking taylor expansion of n in n 1545556584.959 * [misc]backup-simplify: Simplify 0 into 0 1545556584.959 * [misc]backup-simplify: Simplify 1 into 1 1545556584.959 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.959 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.960 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.960 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.960 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.960 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.960 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.960 * [misc]backup-simplify: Simplify PI into PI 1545556584.960 * [misc]taylor: Taking taylor expansion of n in n 1545556584.960 * [misc]backup-simplify: Simplify 0 into 0 1545556584.960 * [misc]backup-simplify: Simplify 1 into 1 1545556584.960 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.961 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.961 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.961 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.962 * [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 1545556584.962 * [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 1545556584.962 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.962 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.962 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.962 * [misc]backup-simplify: Simplify 2 into 2 1545556584.962 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.962 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.962 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.962 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.962 * [misc]backup-simplify: Simplify 2 into 2 1545556584.962 * [misc]taylor: Taking taylor expansion of n in n 1545556584.962 * [misc]backup-simplify: Simplify 0 into 0 1545556584.962 * [misc]backup-simplify: Simplify 1 into 1 1545556584.963 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.963 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.963 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.963 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556584.963 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.963 * [misc]backup-simplify: Simplify PI into PI 1545556584.963 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556584.963 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556584.963 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556584.963 * [misc]taylor: Taking taylor expansion of n in n 1545556584.963 * [misc]backup-simplify: Simplify 0 into 0 1545556584.963 * [misc]backup-simplify: Simplify 1 into 1 1545556584.963 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.964 * [misc]backup-simplify: Simplify PI into PI 1545556584.964 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556584.964 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556584.965 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.965 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.965 * [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 1545556584.965 * [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 1545556584.965 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556584.965 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.965 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.965 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556584.965 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.965 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.965 * [misc]backup-simplify: Simplify 2 into 2 1545556584.966 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.966 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556584.966 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556584.966 * [misc]taylor: Taking taylor expansion of n in n 1545556584.966 * [misc]backup-simplify: Simplify 0 into 0 1545556584.966 * [misc]backup-simplify: Simplify 1 into 1 1545556584.966 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.966 * [misc]backup-simplify: Simplify PI into PI 1545556584.966 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556584.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556584.967 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.967 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.967 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556584.967 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556584.968 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556584.968 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.968 * [misc]backup-simplify: Simplify 2 into 2 1545556584.968 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556584.968 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556584.968 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556584.968 * [misc]taylor: Taking taylor expansion of 2 in n 1545556584.968 * [misc]backup-simplify: Simplify 2 into 2 1545556584.968 * [misc]taylor: Taking taylor expansion of n in n 1545556584.968 * [misc]backup-simplify: Simplify 0 into 0 1545556584.968 * [misc]backup-simplify: Simplify 1 into 1 1545556584.968 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556584.969 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556584.969 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556584.969 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556584.969 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556584.969 * [misc]taylor: Taking taylor expansion of PI in n 1545556584.969 * [misc]backup-simplify: Simplify PI into PI 1545556584.969 * [misc]taylor: Taking taylor expansion of n in n 1545556584.969 * [misc]backup-simplify: Simplify 0 into 0 1545556584.969 * [misc]backup-simplify: Simplify 1 into 1 1545556584.969 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556584.970 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556584.970 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556584.970 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556584.971 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556584.972 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556584.972 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.973 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545556584.974 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545556584.975 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545556584.975 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.976 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.976 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.976 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545556584.977 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545556584.977 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545556584.977 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.978 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.978 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545556584.979 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545556584.979 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545556584.980 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.980 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556584.980 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.980 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.981 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556584.981 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556584.981 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556584.981 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.981 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.982 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.983 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556584.983 * [misc]backup-simplify: Simplify (- 0) into 0 1545556584.983 * [misc]backup-simplify: Simplify 0 into 0 1545556584.985 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556584.986 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545556584.988 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556584.990 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556584.991 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556584.994 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556584.996 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556584.996 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556584.997 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556584.997 * [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)))))) 1545556584.999 * [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)))))) 1545556585.001 * [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)))))) 1545556585.002 * [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))))))) 1545556585.004 * [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))))))) 1545556585.008 * [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))))))))) 1545556585.011 * [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))))))))) 1545556585.015 * [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))))))))) 1545556585.016 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556585.017 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545556585.017 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545556585.020 * [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)))) 1545556585.022 * [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)))) 1545556585.023 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556585.024 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556585.029 * [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))))))))))))))) 1545556585.030 * [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)) 1545556585.030 * [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 1545556585.030 * [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 1545556585.030 * [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 1545556585.030 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of k in n 1545556585.030 * [misc]backup-simplify: Simplify k into k 1545556585.030 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.030 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.030 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.030 * [misc]backup-simplify: Simplify PI into PI 1545556585.030 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.030 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.030 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.030 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.031 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556585.031 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.031 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.031 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.031 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of k in n 1545556585.031 * [misc]backup-simplify: Simplify k into k 1545556585.031 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.031 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556585.031 * [misc]taylor: Taking taylor expansion of 2 in n 1545556585.031 * [misc]backup-simplify: Simplify 2 into 2 1545556585.031 * [misc]taylor: Taking taylor expansion of n in n 1545556585.031 * [misc]backup-simplify: Simplify 0 into 0 1545556585.031 * [misc]backup-simplify: Simplify 1 into 1 1545556585.031 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556585.031 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556585.032 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.032 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.032 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556585.032 * [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))) 1545556585.032 * [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)))) 1545556585.032 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556585.032 * [misc]taylor: Taking taylor expansion of k in n 1545556585.032 * [misc]backup-simplify: Simplify k into k 1545556585.032 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556585.032 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556585.032 * [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 1545556585.032 * [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 1545556585.032 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556585.032 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.033 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.033 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of k in k 1545556585.033 * [misc]backup-simplify: Simplify 0 into 0 1545556585.033 * [misc]backup-simplify: Simplify 1 into 1 1545556585.033 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.033 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556585.033 * [misc]taylor: Taking taylor expansion of PI in k 1545556585.033 * [misc]backup-simplify: Simplify PI into PI 1545556585.033 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.033 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.033 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556585.033 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556585.034 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556585.034 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.034 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.034 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.034 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of k in k 1545556585.034 * [misc]backup-simplify: Simplify 0 into 0 1545556585.034 * [misc]backup-simplify: Simplify 1 into 1 1545556585.034 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.034 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556585.034 * [misc]taylor: Taking taylor expansion of 2 in k 1545556585.034 * [misc]backup-simplify: Simplify 2 into 2 1545556585.034 * [misc]taylor: Taking taylor expansion of n in k 1545556585.034 * [misc]backup-simplify: Simplify n into n 1545556585.034 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556585.034 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556585.035 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.035 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556585.035 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556585.035 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556585.035 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.035 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556585.035 * [misc]taylor: Taking taylor expansion of k in k 1545556585.035 * [misc]backup-simplify: Simplify 0 into 0 1545556585.035 * [misc]backup-simplify: Simplify 1 into 1 1545556585.035 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556585.035 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556585.035 * [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 1545556585.035 * [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 1545556585.035 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556585.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556585.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556585.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556585.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.036 * [misc]taylor: Taking taylor expansion of k in k 1545556585.036 * [misc]backup-simplify: Simplify 0 into 0 1545556585.036 * [misc]backup-simplify: Simplify 1 into 1 1545556585.036 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.036 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556585.036 * [misc]taylor: Taking taylor expansion of PI in k 1545556585.036 * [misc]backup-simplify: Simplify PI into PI 1545556585.036 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.036 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.036 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556585.036 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556585.037 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556585.037 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.037 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.037 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of k in k 1545556585.037 * [misc]backup-simplify: Simplify 0 into 0 1545556585.037 * [misc]backup-simplify: Simplify 1 into 1 1545556585.037 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.037 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556585.037 * [misc]taylor: Taking taylor expansion of 2 in k 1545556585.037 * [misc]backup-simplify: Simplify 2 into 2 1545556585.037 * [misc]taylor: Taking taylor expansion of n in k 1545556585.037 * [misc]backup-simplify: Simplify n into n 1545556585.037 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556585.037 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556585.037 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.037 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556585.038 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556585.038 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556585.038 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.038 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556585.038 * [misc]taylor: Taking taylor expansion of k in k 1545556585.038 * [misc]backup-simplify: Simplify 0 into 0 1545556585.038 * [misc]backup-simplify: Simplify 1 into 1 1545556585.038 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556585.038 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556585.038 * [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))))) 1545556585.039 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545556585.039 * [misc]taylor: Taking taylor expansion of 0 in n 1545556585.039 * [misc]backup-simplify: Simplify 0 into 0 1545556585.039 * [misc]backup-simplify: Simplify 0 into 0 1545556585.039 * [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 1545556585.039 * [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))))))) 1545556585.039 * [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 1545556585.039 * [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 1545556585.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.039 * [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 1545556585.039 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.039 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of k in n 1545556585.039 * [misc]backup-simplify: Simplify k into k 1545556585.039 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.039 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.039 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.039 * [misc]backup-simplify: Simplify PI into PI 1545556585.040 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.040 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.040 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.040 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.040 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556585.040 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.040 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.040 * [misc]taylor: Taking taylor expansion of k in n 1545556585.041 * [misc]backup-simplify: Simplify k into k 1545556585.041 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.041 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556585.041 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556585.041 * [misc]taylor: Taking taylor expansion of 2 in n 1545556585.041 * [misc]backup-simplify: Simplify 2 into 2 1545556585.041 * [misc]taylor: Taking taylor expansion of n in n 1545556585.041 * [misc]backup-simplify: Simplify 0 into 0 1545556585.041 * [misc]backup-simplify: Simplify 1 into 1 1545556585.041 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556585.041 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556585.041 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.041 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.041 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556585.041 * [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))) 1545556585.042 * [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)))) 1545556585.042 * [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))))) 1545556585.042 * [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)))))) 1545556585.042 * [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))))))) 1545556585.043 * [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))))))) 1545556585.043 * [misc]backup-simplify: Simplify 0 into 0 1545556585.044 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556585.044 * [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 1545556585.044 * [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))))))) 1545556585.044 * [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 1545556585.044 * [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 1545556585.044 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.044 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.044 * [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 1545556585.044 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.044 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.044 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.044 * [misc]taylor: Taking taylor expansion of k in n 1545556585.044 * [misc]backup-simplify: Simplify k into k 1545556585.044 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.045 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.045 * [misc]backup-simplify: Simplify PI into PI 1545556585.045 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.045 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.045 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.045 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.045 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556585.045 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.045 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.045 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.045 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.045 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.046 * [misc]taylor: Taking taylor expansion of k in n 1545556585.046 * [misc]backup-simplify: Simplify k into k 1545556585.046 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.046 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556585.046 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556585.046 * [misc]taylor: Taking taylor expansion of 2 in n 1545556585.046 * [misc]backup-simplify: Simplify 2 into 2 1545556585.046 * [misc]taylor: Taking taylor expansion of n in n 1545556585.046 * [misc]backup-simplify: Simplify 0 into 0 1545556585.046 * [misc]backup-simplify: Simplify 1 into 1 1545556585.046 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556585.046 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556585.046 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.046 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.046 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.046 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556585.046 * [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))) 1545556585.047 * [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)))) 1545556585.047 * [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))))) 1545556585.047 * [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)))))) 1545556585.048 * [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))))))) 1545556585.048 * [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))))))) 1545556585.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556585.049 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556585.049 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556585.050 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556585.050 * [misc]backup-simplify: Simplify (- 0) into 0 1545556585.050 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556585.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556585.050 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556585.051 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556585.052 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556585.052 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556585.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556585.053 * [misc]backup-simplify: Simplify (- 0) into 0 1545556585.053 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556585.053 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545556585.054 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556585.054 * [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 1545556585.055 * [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 1545556585.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545556585.055 * [misc]backup-simplify: Simplify 0 into 0 1545556585.055 * [misc]backup-simplify: Simplify 0 into 0 1545556585.056 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556585.056 * [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 1545556585.057 * [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))))))) 1545556585.057 * [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 1545556585.057 * [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 1545556585.057 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.057 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.057 * [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 1545556585.057 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.057 * [misc]taylor: Taking taylor expansion of k in n 1545556585.058 * [misc]backup-simplify: Simplify k into k 1545556585.058 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.058 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.058 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.058 * [misc]backup-simplify: Simplify PI into PI 1545556585.058 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.059 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.059 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556585.059 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556585.060 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of k in n 1545556585.060 * [misc]backup-simplify: Simplify k into k 1545556585.060 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.060 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556585.060 * [misc]taylor: Taking taylor expansion of 2 in n 1545556585.060 * [misc]backup-simplify: Simplify 2 into 2 1545556585.060 * [misc]taylor: Taking taylor expansion of n in n 1545556585.060 * [misc]backup-simplify: Simplify 0 into 0 1545556585.060 * [misc]backup-simplify: Simplify 1 into 1 1545556585.060 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556585.060 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556585.060 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.061 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556585.061 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556585.061 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556585.061 * [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))) 1545556585.062 * [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)))) 1545556585.062 * [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))))) 1545556585.063 * [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)))))) 1545556585.063 * [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))))))) 1545556585.064 * [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))))))) 1545556585.066 * [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)))))))) 1545556585.067 * [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))) 1545556585.067 * [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 1545556585.067 * [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 1545556585.067 * [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 1545556585.067 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.067 * [misc]taylor: Taking taylor expansion of k in n 1545556585.067 * [misc]backup-simplify: Simplify k into k 1545556585.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.067 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556585.068 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556585.068 * [misc]taylor: Taking taylor expansion of -2 in n 1545556585.068 * [misc]backup-simplify: Simplify -2 into -2 1545556585.068 * [misc]taylor: Taking taylor expansion of n in n 1545556585.068 * [misc]backup-simplify: Simplify 0 into 0 1545556585.068 * [misc]backup-simplify: Simplify 1 into 1 1545556585.068 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556585.068 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556585.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.069 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556585.069 * [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))) 1545556585.070 * [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)))) 1545556585.070 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.070 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of k in n 1545556585.070 * [misc]backup-simplify: Simplify k into k 1545556585.070 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.070 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.070 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.070 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.070 * [misc]backup-simplify: Simplify PI into PI 1545556585.071 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.071 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.071 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.071 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556585.072 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.072 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556585.072 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556585.072 * [misc]taylor: Taking taylor expansion of -1 in n 1545556585.072 * [misc]backup-simplify: Simplify -1 into -1 1545556585.072 * [misc]taylor: Taking taylor expansion of k in n 1545556585.072 * [misc]backup-simplify: Simplify k into k 1545556585.072 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556585.072 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556585.072 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556585.072 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556585.073 * [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))) 1545556585.073 * [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))) 1545556585.073 * [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 1545556585.073 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545556585.073 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556585.073 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of k in k 1545556585.074 * [misc]backup-simplify: Simplify 0 into 0 1545556585.074 * [misc]backup-simplify: Simplify 1 into 1 1545556585.074 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.074 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.074 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556585.074 * [misc]taylor: Taking taylor expansion of -2 in k 1545556585.074 * [misc]backup-simplify: Simplify -2 into -2 1545556585.074 * [misc]taylor: Taking taylor expansion of n in k 1545556585.074 * [misc]backup-simplify: Simplify n into n 1545556585.074 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556585.074 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556585.075 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.075 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556585.075 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556585.075 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.075 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.075 * [misc]taylor: Taking taylor expansion of k in k 1545556585.075 * [misc]backup-simplify: Simplify 0 into 0 1545556585.075 * [misc]backup-simplify: Simplify 1 into 1 1545556585.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.076 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.076 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556585.076 * [misc]taylor: Taking taylor expansion of PI in k 1545556585.076 * [misc]backup-simplify: Simplify PI into PI 1545556585.076 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.076 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556585.077 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556585.077 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.077 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556585.077 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556585.077 * [misc]taylor: Taking taylor expansion of -1 in k 1545556585.077 * [misc]backup-simplify: Simplify -1 into -1 1545556585.077 * [misc]taylor: Taking taylor expansion of k in k 1545556585.077 * [misc]backup-simplify: Simplify 0 into 0 1545556585.077 * [misc]backup-simplify: Simplify 1 into 1 1545556585.078 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556585.078 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556585.078 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556585.078 * [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))) 1545556585.079 * [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)))) 1545556585.079 * [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 1545556585.079 * [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 1545556585.079 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of k in k 1545556585.079 * [misc]backup-simplify: Simplify 0 into 0 1545556585.079 * [misc]backup-simplify: Simplify 1 into 1 1545556585.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.079 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556585.079 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556585.080 * [misc]taylor: Taking taylor expansion of -2 in k 1545556585.080 * [misc]backup-simplify: Simplify -2 into -2 1545556585.080 * [misc]taylor: Taking taylor expansion of n in k 1545556585.080 * [misc]backup-simplify: Simplify n into n 1545556585.080 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556585.080 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556585.080 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.080 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556585.080 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556585.080 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.080 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556585.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556585.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556585.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556585.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556585.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556585.081 * [misc]taylor: Taking taylor expansion of k in k 1545556585.081 * [misc]backup-simplify: Simplify 0 into 0 1545556585.081 * [misc]backup-simplify: Simplify 1 into 1 1545556585.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556585.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556585.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.081 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556585.081 * [misc]taylor: Taking taylor expansion of PI in k 1545556585.081 * [misc]backup-simplify: Simplify PI into PI 1545556585.081 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.081 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556585.082 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556585.082 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556585.082 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.082 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556585.082 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556585.083 * [misc]taylor: Taking taylor expansion of -1 in k 1545556585.083 * [misc]backup-simplify: Simplify -1 into -1 1545556585.083 * [misc]taylor: Taking taylor expansion of k in k 1545556585.083 * [misc]backup-simplify: Simplify 0 into 0 1545556585.083 * [misc]backup-simplify: Simplify 1 into 1 1545556585.083 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556585.083 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556585.083 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556585.084 * [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))) 1545556585.084 * [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)))) 1545556585.084 * [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 1545556585.084 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.084 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.084 * [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 1545556585.084 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.084 * [misc]taylor: Taking taylor expansion of k in n 1545556585.085 * [misc]backup-simplify: Simplify k into k 1545556585.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.085 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556585.085 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556585.085 * [misc]taylor: Taking taylor expansion of -2 in n 1545556585.085 * [misc]backup-simplify: Simplify -2 into -2 1545556585.085 * [misc]taylor: Taking taylor expansion of n in n 1545556585.085 * [misc]backup-simplify: Simplify 0 into 0 1545556585.085 * [misc]backup-simplify: Simplify 1 into 1 1545556585.085 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556585.085 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556585.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.085 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556585.086 * [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))) 1545556585.086 * [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)))) 1545556585.086 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.086 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556585.086 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556585.086 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.087 * [misc]taylor: Taking taylor expansion of k in n 1545556585.087 * [misc]backup-simplify: Simplify k into k 1545556585.087 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.087 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.087 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.087 * [misc]backup-simplify: Simplify PI into PI 1545556585.087 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.087 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.087 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.088 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556585.088 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.088 * [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))) 1545556585.089 * [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)))) 1545556585.089 * [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)))) 1545556585.090 * [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 1545556585.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556585.091 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556585.092 * [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))))) 1545556585.092 * [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 1545556585.092 * [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 1545556585.092 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.092 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.092 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of k in n 1545556585.092 * [misc]backup-simplify: Simplify k into k 1545556585.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.092 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556585.092 * [misc]taylor: Taking taylor expansion of -2 in n 1545556585.092 * [misc]backup-simplify: Simplify -2 into -2 1545556585.093 * [misc]taylor: Taking taylor expansion of n in n 1545556585.093 * [misc]backup-simplify: Simplify 0 into 0 1545556585.093 * [misc]backup-simplify: Simplify 1 into 1 1545556585.093 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556585.093 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556585.093 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.093 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556585.094 * [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))) 1545556585.094 * [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)))) 1545556585.094 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.094 * [misc]taylor: Taking taylor expansion of k in n 1545556585.094 * [misc]backup-simplify: Simplify k into k 1545556585.094 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.095 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.095 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.095 * [misc]backup-simplify: Simplify PI into PI 1545556585.095 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.095 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.095 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.095 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556585.096 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.096 * [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))) 1545556585.097 * [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)))) 1545556585.097 * [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))))) 1545556585.098 * [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))))) 1545556585.100 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556585.100 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556585.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556585.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556585.101 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545556585.103 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556585.103 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556585.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556585.105 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556585.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556585.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556585.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556585.106 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556585.108 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556585.108 * [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 1545556585.109 * [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 1545556585.109 * [misc]backup-simplify: Simplify 0 into 0 1545556585.109 * [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 1545556585.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556585.111 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556585.112 * [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))))) 1545556585.112 * [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 1545556585.112 * [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 1545556585.112 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556585.112 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556585.112 * [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 1545556585.112 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of k in n 1545556585.113 * [misc]backup-simplify: Simplify k into k 1545556585.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.113 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556585.113 * [misc]taylor: Taking taylor expansion of -2 in n 1545556585.113 * [misc]backup-simplify: Simplify -2 into -2 1545556585.113 * [misc]taylor: Taking taylor expansion of n in n 1545556585.113 * [misc]backup-simplify: Simplify 0 into 0 1545556585.113 * [misc]backup-simplify: Simplify 1 into 1 1545556585.113 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556585.113 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556585.114 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.114 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556585.115 * [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))) 1545556585.115 * [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)))) 1545556585.115 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of k in n 1545556585.115 * [misc]backup-simplify: Simplify k into k 1545556585.115 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556585.115 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556585.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556585.115 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556585.115 * [misc]taylor: Taking taylor expansion of PI in n 1545556585.116 * [misc]backup-simplify: Simplify PI into PI 1545556585.116 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556585.116 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556585.116 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556585.117 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556585.117 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556585.117 * [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))) 1545556585.118 * [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)))) 1545556585.119 * [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))))) 1545556585.119 * [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))))) 1545556585.121 * [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)))))))) 1545556585.122 * * * [misc]progress: simplifying candidates 1545556585.122 * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # 1545556585.122 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556585.122 * * [misc]simplify: iters left: 6 (9 enodes) 1545556585.126 * * [misc]simplify: iters left: 5 (16 enodes) 1545556585.129 * * [misc]simplify: iters left: 4 (32 enodes) 1545556585.135 * * [misc]simplify: iters left: 3 (68 enodes) 1545556585.152 * * [misc]simplify: iters left: 2 (171 enodes) 1545556585.187 * * [misc]simplify: iters left: 1 (342 enodes) 1545556585.311 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556585.311 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556585.311 * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # 1545556585.311 * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # 1545556585.311 * [enter]simplify: Simplifying (* n 2) 1545556585.311 * * [misc]simplify: iters left: 2 (3 enodes) 1545556585.312 * * [misc]simplify: iters left: 1 (4 enodes) 1545556585.313 * [exit]simplify: Simplified to (* n 2) 1545556585.313 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1545556585.313 * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # 1545556585.313 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545556585.313 * * [misc]simplify: iters left: 3 (6 enodes) 1545556585.314 * * [misc]simplify: iters left: 2 (7 enodes) 1545556585.315 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545556585.315 * [misc]simplify: Simplified (2 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)))) 1545556585.315 * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # 1545556585.315 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556585.315 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.316 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.317 * * [misc]simplify: iters left: 3 (11 enodes) 1545556585.318 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556585.318 * [misc]simplify: Simplified (2 2 1 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)))) 1545556585.318 * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # 1545556585.319 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556585.319 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.319 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.321 * * [misc]simplify: iters left: 3 (11 enodes) 1545556585.322 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556585.322 * [misc]simplify: Simplified (2 2 1 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)))) 1545556585.322 * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # 1545556585.322 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556585.322 * * [misc]simplify: iters left: 4 (5 enodes) 1545556585.323 * * [misc]simplify: iters left: 3 (7 enodes) 1545556585.324 * * [misc]simplify: iters left: 2 (10 enodes) 1545556585.325 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556585.325 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.325 * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # 1545556585.326 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556585.326 * * [misc]simplify: iters left: 5 (7 enodes) 1545556585.327 * * [misc]simplify: iters left: 4 (10 enodes) 1545556585.328 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556585.328 * [misc]simplify: Simplified (2 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)))) 1545556585.328 * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # 1545556585.328 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556585.328 * * [misc]simplify: iters left: 5 (7 enodes) 1545556585.329 * * [misc]simplify: iters left: 4 (10 enodes) 1545556585.331 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556585.331 * [misc]simplify: Simplified (2 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)))) 1545556585.331 * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # 1545556585.331 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545556585.331 * * [misc]simplify: iters left: 5 (7 enodes) 1545556585.333 * * [misc]simplify: iters left: 4 (9 enodes) 1545556585.336 * * [misc]simplify: iters left: 3 (12 enodes) 1545556585.339 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556585.339 * [misc]simplify: Simplified (2 2 1 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)))) 1545556585.339 * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # 1545556585.339 * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # 1545556585.339 * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # 1545556585.339 * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # 1545556585.339 * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # 1545556585.339 * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # 1545556585.340 * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # 1545556585.340 * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # 1545556585.340 * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # 1545556585.340 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545556585.340 * * [misc]simplify: iters left: 3 (5 enodes) 1545556585.341 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545556585.342 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.342 * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # 1545556585.342 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556585.342 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.344 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.346 * * [misc]simplify: iters left: 3 (11 enodes) 1545556585.349 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556585.349 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.349 * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # 1545556585.350 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556585.350 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.352 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.354 * * [misc]simplify: iters left: 3 (11 enodes) 1545556585.357 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556585.357 * [misc]simplify: Simplified (2 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)))) 1545556585.357 * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # 1545556585.357 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556585.358 * * [misc]simplify: iters left: 4 (5 enodes) 1545556585.359 * * [misc]simplify: iters left: 3 (7 enodes) 1545556585.361 * * [misc]simplify: iters left: 2 (10 enodes) 1545556585.364 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556585.364 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.364 * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # 1545556585.364 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545556585.364 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.366 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.368 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545556585.369 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.369 * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # 1545556585.369 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545556585.369 * * [misc]simplify: iters left: 5 (6 enodes) 1545556585.371 * * [misc]simplify: iters left: 4 (8 enodes) 1545556585.373 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545556585.373 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556585.374 * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # 1545556585.374 * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # 1545556585.374 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556585.375 * * [misc]simplify: iters left: 6 (12 enodes) 1545556585.379 * * [misc]simplify: iters left: 5 (21 enodes) 1545556585.386 * * [misc]simplify: iters left: 4 (38 enodes) 1545556585.402 * * [misc]simplify: iters left: 3 (98 enodes) 1545556585.465 * * [misc]simplify: iters left: 2 (325 enodes) 1545556585.585 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556585.585 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556585.585 * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # 1545556585.585 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556585.585 * * [misc]simplify: iters left: 6 (12 enodes) 1545556585.590 * * [misc]simplify: iters left: 5 (21 enodes) 1545556585.599 * * [misc]simplify: iters left: 4 (38 enodes) 1545556585.616 * * [misc]simplify: iters left: 3 (98 enodes) 1545556585.653 * * [misc]simplify: iters left: 2 (325 enodes) 1545556585.817 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556585.817 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556585.817 * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # 1545556585.817 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545556585.817 * * [misc]simplify: iters left: 6 (12 enodes) 1545556585.819 * * [misc]simplify: iters left: 5 (19 enodes) 1545556585.822 * * [misc]simplify: iters left: 4 (28 enodes) 1545556585.827 * * [misc]simplify: iters left: 3 (44 enodes) 1545556585.837 * * [misc]simplify: iters left: 2 (124 enodes) 1545556585.910 * * [misc]simplify: iters left: 1 (453 enodes) 1545556586.152 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556586.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556586.152 * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # 1545556586.152 * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # 1545556586.152 * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # 1545556586.152 * [enter]simplify: Simplifying (/ (* (* (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))) 1545556586.152 * * [misc]simplify: iters left: 6 (14 enodes) 1545556586.155 * * [misc]simplify: iters left: 5 (26 enodes) 1545556586.159 * * [misc]simplify: iters left: 4 (57 enodes) 1545556586.172 * * [misc]simplify: iters left: 3 (112 enodes) 1545556586.204 * * [misc]simplify: iters left: 2 (189 enodes) 1545556586.286 * * [misc]simplify: iters left: 1 (316 enodes) 1545556586.435 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545556586.435 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556586.435 * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # 1545556586.435 * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # 1545556586.435 * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # 1545556586.435 * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # 1545556586.435 * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # 1545556586.435 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.435 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.437 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.439 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.439 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545556586.439 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556586.439 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.440 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.442 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556586.442 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545556586.442 * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # 1545556586.442 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545556586.442 * * [misc]simplify: iters left: 5 (9 enodes) 1545556586.444 * * [misc]simplify: iters left: 4 (11 enodes) 1545556586.447 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545556586.447 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545556586.447 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556586.447 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.450 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.454 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556586.454 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545556586.454 * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # 1545556586.455 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545556586.455 * * [misc]simplify: iters left: 5 (7 enodes) 1545556586.457 * * [misc]simplify: iters left: 4 (11 enodes) 1545556586.461 * * [misc]simplify: iters left: 3 (13 enodes) 1545556586.464 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556586.464 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556586.465 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556586.465 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.468 * * [misc]simplify: iters left: 5 (12 enodes) 1545556586.471 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556586.471 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556586.471 * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # 1545556586.471 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.472 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.473 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.475 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.475 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545556586.475 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556586.475 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.477 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.478 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556586.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545556586.478 * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # 1545556586.478 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545556586.479 * * [misc]simplify: iters left: 5 (9 enodes) 1545556586.480 * * [misc]simplify: iters left: 4 (11 enodes) 1545556586.481 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545556586.481 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545556586.481 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556586.481 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.483 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.485 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556586.485 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545556586.485 * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # 1545556586.485 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545556586.485 * * [misc]simplify: iters left: 5 (7 enodes) 1545556586.486 * * [misc]simplify: iters left: 4 (11 enodes) 1545556586.488 * * [misc]simplify: iters left: 3 (13 enodes) 1545556586.489 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556586.489 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556586.489 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556586.489 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.490 * * [misc]simplify: iters left: 5 (12 enodes) 1545556586.492 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556586.492 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556586.492 * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # 1545556586.492 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.492 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.494 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.496 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.498 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.498 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556586.498 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556586.498 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.500 * * [misc]simplify: iters left: 5 (11 enodes) 1545556586.501 * * [misc]simplify: iters left: 4 (14 enodes) 1545556586.503 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556586.503 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556586.503 * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # 1545556586.503 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.503 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.506 * * [misc]simplify: iters left: 5 (12 enodes) 1545556586.512 * * [misc]simplify: iters left: 4 (15 enodes) 1545556586.516 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.516 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556586.517 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.517 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.519 * * [misc]simplify: iters left: 5 (11 enodes) 1545556586.523 * * [misc]simplify: iters left: 4 (14 enodes) 1545556586.527 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.527 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556586.527 * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # 1545556586.528 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545556586.528 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.531 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.533 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.535 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556586.535 * [misc]simplify: Simplified (2 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))))) 1545556586.535 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556586.535 * * [misc]simplify: iters left: 6 (8 enodes) 1545556586.537 * * [misc]simplify: iters left: 5 (10 enodes) 1545556586.538 * * [misc]simplify: iters left: 4 (13 enodes) 1545556586.540 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556586.540 * [misc]simplify: Simplified (2 2 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))))) 1545556586.540 * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # 1545556586.540 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.540 * * [misc]simplify: iters left: 6 (14 enodes) 1545556586.542 * * [misc]simplify: iters left: 5 (23 enodes) 1545556586.545 * * [misc]simplify: iters left: 4 (35 enodes) 1545556586.551 * * [misc]simplify: iters left: 3 (38 enodes) 1545556586.556 * * [misc]simplify: iters left: 2 (41 enodes) 1545556586.561 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545556586.561 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556586.561 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556586.561 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.563 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.565 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.567 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556586.567 * [misc]simplify: Simplified (2 2 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 (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556586.568 * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # 1545556586.568 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545556586.568 * * [misc]simplify: iters left: 6 (13 enodes) 1545556586.570 * * [misc]simplify: iters left: 5 (18 enodes) 1545556586.572 * * [misc]simplify: iters left: 4 (23 enodes) 1545556586.575 * * [misc]simplify: iters left: 3 (24 enodes) 1545556586.579 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556586.579 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556586.579 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.579 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.581 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.582 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.585 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.585 * [misc]simplify: Simplified (2 2 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))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556586.585 * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # 1545556586.585 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545556586.585 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.587 * * [misc]simplify: iters left: 5 (19 enodes) 1545556586.590 * * [misc]simplify: iters left: 4 (28 enodes) 1545556586.594 * * [misc]simplify: iters left: 3 (42 enodes) 1545556586.600 * * [misc]simplify: iters left: 2 (68 enodes) 1545556586.611 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556586.611 * [misc]simplify: Simplified (2 2 1) 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))))) 1545556586.612 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556586.612 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.615 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.619 * * [misc]simplify: iters left: 4 (17 enodes) 1545556586.625 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556586.625 * [misc]simplify: Simplified (2 2 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))))) 1545556586.625 * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # 1545556586.625 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.625 * * [misc]simplify: iters left: 6 (13 enodes) 1545556586.628 * * [misc]simplify: iters left: 5 (18 enodes) 1545556586.631 * * [misc]simplify: iters left: 4 (21 enodes) 1545556586.633 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.634 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556586.634 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556586.634 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.635 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.637 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.640 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556586.640 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556586.640 * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # 1545556586.640 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.640 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.642 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.644 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.646 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556586.646 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.646 * * [misc]simplify: iters left: 6 (12 enodes) 1545556586.648 * * [misc]simplify: iters left: 5 (15 enodes) 1545556586.650 * * [misc]simplify: iters left: 4 (18 enodes) 1545556586.652 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556586.652 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556586.652 * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # 1545556586.652 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545556586.652 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.654 * * [misc]simplify: iters left: 5 (16 enodes) 1545556586.657 * * [misc]simplify: iters left: 4 (21 enodes) 1545556586.659 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556586.659 * [misc]simplify: Simplified (2 2 1) 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))))) 1545556586.659 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556586.659 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.661 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.663 * * [misc]simplify: iters left: 4 (17 enodes) 1545556586.667 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556586.667 * [misc]simplify: Simplified (2 2 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))))) 1545556586.667 * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # 1545556586.667 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556586.667 * * [misc]simplify: iters left: 6 (6 enodes) 1545556586.669 * * [misc]simplify: iters left: 5 (10 enodes) 1545556586.672 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545556586.672 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556586.672 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556586.672 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.676 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.680 * * [misc]simplify: iters left: 4 (17 enodes) 1545556586.684 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556586.684 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556586.684 * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # 1545556586.685 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545556586.685 * * [misc]simplify: iters left: 4 (5 enodes) 1545556586.687 * * [misc]simplify: iters left: 3 (7 enodes) 1545556586.688 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545556586.689 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556586.689 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.689 * * [misc]simplify: iters left: 6 (11 enodes) 1545556586.692 * * [misc]simplify: iters left: 5 (14 enodes) 1545556586.694 * * [misc]simplify: iters left: 4 (17 enodes) 1545556586.696 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556586.696 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556586.696 * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # 1545556586.696 * [enter]simplify: Simplifying (/ 1 1) 1545556586.696 * * [misc]simplify: iters left: 2 (2 enodes) 1545556586.696 * * [misc]simplify: iters left: 1 (4 enodes) 1545556586.697 * [exit]simplify: Simplified to 1 1545556586.698 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556586.698 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556586.698 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.699 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.701 * * [misc]simplify: iters left: 4 (16 enodes) 1545556586.703 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556586.703 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556586.703 * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # 1545556586.703 * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # 1545556586.703 * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # 1545556586.703 * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # 1545556586.703 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545556586.703 * * [misc]simplify: iters left: 2 (3 enodes) 1545556586.704 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545556586.704 * [misc]simplify: Simplified (2 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))))) 1545556586.704 * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # 1545556586.704 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545556586.704 * * [misc]simplify: iters left: 2 (3 enodes) 1545556586.704 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545556586.704 * [misc]simplify: Simplified (2 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))))) 1545556586.704 * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # 1545556586.705 * [enter]simplify: Simplifying (sqrt k) 1545556586.705 * * [misc]simplify: iters left: 1 (2 enodes) 1545556586.705 * [exit]simplify: Simplified to (sqrt k) 1545556586.705 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1545556586.705 * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # 1545556586.705 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556586.705 * * [misc]simplify: iters left: 3 (5 enodes) 1545556586.706 * * [misc]simplify: iters left: 2 (7 enodes) 1545556586.707 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556586.707 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545556586.707 * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # 1545556586.707 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556586.707 * * [misc]simplify: iters left: 3 (5 enodes) 1545556586.708 * * [misc]simplify: iters left: 2 (7 enodes) 1545556586.708 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556586.708 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545556586.709 * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # 1545556586.709 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545556586.709 * * [misc]simplify: iters left: 5 (7 enodes) 1545556586.710 * * [misc]simplify: iters left: 4 (9 enodes) 1545556586.711 * * [misc]simplify: iters left: 3 (12 enodes) 1545556586.712 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556586.713 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545556586.713 * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # 1545556586.713 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556586.713 * * [misc]simplify: iters left: 6 (10 enodes) 1545556586.714 * * [misc]simplify: iters left: 5 (13 enodes) 1545556586.716 * * [misc]simplify: iters left: 4 (16 enodes) 1545556586.718 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556586.718 * [misc]simplify: Simplified (2 2 1) 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))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556586.718 * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # 1545556586.718 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556586.719 * * [misc]simplify: iters left: 6 (9 enodes) 1545556586.721 * * [misc]simplify: iters left: 5 (12 enodes) 1545556586.724 * * [misc]simplify: iters left: 4 (15 enodes) 1545556586.728 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556586.728 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556586.728 * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # 1545556586.728 * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # 1545556586.729 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556586.729 * * [misc]simplify: iters left: 3 (5 enodes) 1545556586.730 * * [misc]simplify: iters left: 2 (7 enodes) 1545556586.732 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556586.732 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1545556586.732 * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # 1545556586.732 * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # 1545556586.732 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556586.733 * * [misc]simplify: iters left: 6 (16 enodes) 1545556586.737 * * [misc]simplify: iters left: 5 (29 enodes) 1545556586.742 * * [misc]simplify: iters left: 4 (60 enodes) 1545556586.757 * * [misc]simplify: iters left: 3 (191 enodes) 1545556586.869 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556586.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556586.869 * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # 1545556586.869 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556586.869 * * [misc]simplify: iters left: 6 (16 enodes) 1545556586.872 * * [misc]simplify: iters left: 5 (29 enodes) 1545556586.877 * * [misc]simplify: iters left: 4 (60 enodes) 1545556586.900 * * [misc]simplify: iters left: 3 (191 enodes) 1545556586.989 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556586.989 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556586.989 * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # 1545556586.990 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545556586.990 * * [misc]simplify: iters left: 6 (16 enodes) 1545556586.995 * * [misc]simplify: iters left: 5 (27 enodes) 1545556587.005 * * [misc]simplify: iters left: 4 (50 enodes) 1545556587.024 * * [misc]simplify: iters left: 3 (114 enodes) 1545556587.077 * * [misc]simplify: iters left: 2 (426 enodes) 1545556587.591 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556587.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556587.591 * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # 1545556587.591 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556587.591 * * [misc]simplify: iters left: 6 (15 enodes) 1545556587.593 * * [misc]simplify: iters left: 5 (23 enodes) 1545556587.597 * * [misc]simplify: iters left: 4 (40 enodes) 1545556587.604 * * [misc]simplify: iters left: 3 (82 enodes) 1545556587.622 * * [misc]simplify: iters left: 2 (187 enodes) 1545556587.756 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556587.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556587.757 * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # 1545556587.757 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556587.757 * * [misc]simplify: iters left: 6 (16 enodes) 1545556587.763 * * [misc]simplify: iters left: 5 (30 enodes) 1545556587.771 * * [misc]simplify: iters left: 4 (56 enodes) 1545556587.789 * * [misc]simplify: iters left: 3 (161 enodes) 1545556587.876 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556587.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556587.876 * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # 1545556587.877 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556587.877 * * [misc]simplify: iters left: 6 (16 enodes) 1545556587.880 * * [misc]simplify: iters left: 5 (30 enodes) 1545556587.886 * * [misc]simplify: iters left: 4 (56 enodes) 1545556587.910 * * [misc]simplify: iters left: 3 (161 enodes) 1545556588.000 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556588.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556588.000 * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # 1545556588.000 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545556588.000 * * [misc]simplify: iters left: 6 (16 enodes) 1545556588.008 * * [misc]simplify: iters left: 5 (28 enodes) 1545556588.017 * * [misc]simplify: iters left: 4 (46 enodes) 1545556588.033 * * [misc]simplify: iters left: 3 (83 enodes) 1545556588.084 * * [misc]simplify: iters left: 2 (323 enodes) 1545556588.406 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556588.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556588.406 * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # 1545556588.407 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556588.407 * * [misc]simplify: iters left: 6 (15 enodes) 1545556588.409 * * [misc]simplify: iters left: 5 (24 enodes) 1545556588.415 * * [misc]simplify: iters left: 4 (36 enodes) 1545556588.421 * * [misc]simplify: iters left: 3 (60 enodes) 1545556588.444 * * [misc]simplify: iters left: 2 (163 enodes) 1545556588.528 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556588.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556588.528 * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # 1545556588.528 * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # 1545556588.528 * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # 1545556588.528 * [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)))) 1545556588.529 * * [misc]simplify: iters left: 6 (19 enodes) 1545556588.535 * * [misc]simplify: iters left: 5 (37 enodes) 1545556588.549 * * [misc]simplify: iters left: 4 (114 enodes) 1545556588.620 * * [misc]simplify: iters left: 3 (443 enodes) 1545556589.028 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 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))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545556589.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 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))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545556589.028 * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # 1545556589.028 * [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))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556589.028 * * [misc]simplify: iters left: 6 (17 enodes) 1545556589.031 * * [misc]simplify: iters left: 5 (33 enodes) 1545556589.037 * * [misc]simplify: iters left: 4 (87 enodes) 1545556589.061 * * [misc]simplify: iters left: 3 (222 enodes) 1545556589.164 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1545556589.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1545556589.165 * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # 1545556589.165 * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # 1545556589.165 * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # 1545556589.165 * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # 1545556589.165 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545556589.165 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.169 * * [misc]simplify: iters left: 5 (16 enodes) 1545556589.174 * * [misc]simplify: iters left: 4 (19 enodes) 1545556589.179 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545556589.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545556589.179 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1545556589.179 * * [misc]simplify: iters left: 5 (7 enodes) 1545556589.182 * * [misc]simplify: iters left: 4 (8 enodes) 1545556589.184 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1545556589.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545556589.184 * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # 1545556589.184 * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # 1545556589.184 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556589.185 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.188 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.192 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.196 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556589.197 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556589.197 * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # 1545556589.197 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556589.197 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.200 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.204 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.208 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556589.209 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556589.209 * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # 1545556589.209 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556589.209 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.212 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.215 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556589.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545556589.215 * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # 1545556589.216 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556589.216 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.218 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.222 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556589.222 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545556589.222 * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # 1545556589.222 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556589.222 * * [misc]simplify: iters left: 6 (9 enodes) 1545556589.225 * * [misc]simplify: iters left: 5 (12 enodes) 1545556589.228 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556589.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545556589.228 * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # 1545556589.228 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556589.229 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.231 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.235 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556589.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545556589.236 * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # 1545556589.237 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556589.237 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.240 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.241 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556589.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545556589.242 * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # 1545556589.242 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556589.242 * * [misc]simplify: iters left: 6 (9 enodes) 1545556589.243 * * [misc]simplify: iters left: 5 (12 enodes) 1545556589.245 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556589.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545556589.245 * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # 1545556589.245 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556589.245 * * [misc]simplify: iters left: 6 (9 enodes) 1545556589.246 * * [misc]simplify: iters left: 5 (11 enodes) 1545556589.248 * * [misc]simplify: iters left: 4 (14 enodes) 1545556589.250 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556589.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545556589.250 * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # 1545556589.250 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556589.250 * * [misc]simplify: iters left: 6 (9 enodes) 1545556589.251 * * [misc]simplify: iters left: 5 (11 enodes) 1545556589.253 * * [misc]simplify: iters left: 4 (14 enodes) 1545556589.255 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556589.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556589.255 * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # 1545556589.255 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556589.255 * * [misc]simplify: iters left: 6 (8 enodes) 1545556589.256 * * [misc]simplify: iters left: 5 (10 enodes) 1545556589.258 * * [misc]simplify: iters left: 4 (13 enodes) 1545556589.259 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556589.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1545556589.259 * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # 1545556589.260 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556589.260 * * [misc]simplify: iters left: 6 (12 enodes) 1545556589.261 * * [misc]simplify: iters left: 5 (15 enodes) 1545556589.263 * * [misc]simplify: iters left: 4 (18 enodes) 1545556589.266 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556589.266 * [misc]simplify: Simplified (2 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 (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545556589.266 * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # 1545556589.266 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556589.266 * * [misc]simplify: iters left: 6 (12 enodes) 1545556589.270 * * [misc]simplify: iters left: 5 (15 enodes) 1545556589.274 * * [misc]simplify: iters left: 4 (18 enodes) 1545556589.279 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556589.279 * [misc]simplify: Simplified (2 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))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545556589.279 * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # 1545556589.280 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556589.280 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.284 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.288 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.292 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556589.292 * [misc]simplify: Simplified (2 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))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556589.292 * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # 1545556589.293 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556589.293 * * [misc]simplify: iters left: 6 (12 enodes) 1545556589.296 * * [misc]simplify: iters left: 5 (15 enodes) 1545556589.301 * * [misc]simplify: iters left: 4 (18 enodes) 1545556589.306 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556589.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545556589.306 * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # 1545556589.306 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556589.306 * * [misc]simplify: iters left: 6 (12 enodes) 1545556589.310 * * [misc]simplify: iters left: 5 (15 enodes) 1545556589.314 * * [misc]simplify: iters left: 4 (18 enodes) 1545556589.319 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556589.319 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545556589.319 * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # 1545556589.320 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556589.320 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.323 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.327 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.332 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556589.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556589.332 * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # 1545556589.332 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556589.332 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.336 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.340 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.344 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556589.345 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545556589.345 * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # 1545556589.345 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556589.345 * * [misc]simplify: iters left: 6 (11 enodes) 1545556589.348 * * [misc]simplify: iters left: 5 (14 enodes) 1545556589.352 * * [misc]simplify: iters left: 4 (17 enodes) 1545556589.357 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556589.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556589.357 * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # 1545556589.357 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556589.358 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.361 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.364 * * [misc]simplify: iters left: 4 (16 enodes) 1545556589.369 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556589.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556589.369 * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # 1545556589.370 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556589.370 * * [misc]simplify: iters left: 6 (10 enodes) 1545556589.373 * * [misc]simplify: iters left: 5 (13 enodes) 1545556589.377 * * [misc]simplify: iters left: 4 (16 enodes) 1545556589.381 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556589.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556589.382 * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # 1545556589.382 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545556589.382 * * [misc]simplify: iters left: 3 (4 enodes) 1545556589.383 * * [misc]simplify: iters left: 2 (6 enodes) 1545556589.385 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545556589.385 * [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)))) 1545556589.385 * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # 1545556589.385 * [enter]simplify: Simplifying (pow PI 1/2) 1545556589.385 * * [misc]simplify: iters left: 1 (3 enodes) 1545556589.386 * [exit]simplify: Simplified to (sqrt PI) 1545556589.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556589.386 * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # 1545556589.387 * [enter]simplify: Simplifying (pow PI 1/2) 1545556589.387 * * [misc]simplify: iters left: 1 (3 enodes) 1545556589.388 * [exit]simplify: Simplified to (sqrt PI) 1545556589.388 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556589.388 * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # 1545556589.388 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545556589.388 * * [misc]simplify: iters left: 6 (9 enodes) 1545556589.391 * * [misc]simplify: iters left: 5 (11 enodes) 1545556589.395 * * [misc]simplify: iters left: 4 (14 enodes) 1545556589.399 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545556589.399 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556589.399 * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # 1545556589.399 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545556589.399 * * [misc]simplify: iters left: 6 (8 enodes) 1545556589.402 * * [misc]simplify: iters left: 5 (10 enodes) 1545556589.405 * * [misc]simplify: iters left: 4 (13 enodes) 1545556589.408 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545556589.408 * [misc]simplify: Simplified (2 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))))) 1545556589.408 * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # 1545556589.409 * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # 1545556589.409 * [enter]simplify: Simplifying (sqrt k) 1545556589.409 * * [misc]simplify: iters left: 1 (2 enodes) 1545556589.409 * [exit]simplify: Simplified to (sqrt k) 1545556589.410 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556589.410 * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # 1545556589.410 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556589.410 * * [misc]simplify: iters left: 6 (13 enodes) 1545556589.414 * * [misc]simplify: iters left: 5 (20 enodes) 1545556589.420 * * [misc]simplify: iters left: 4 (27 enodes) 1545556589.428 * * [misc]simplify: iters left: 3 (29 enodes) 1545556589.435 * * [misc]simplify: iters left: 2 (31 enodes) 1545556589.443 * * [misc]simplify: iters left: 1 (32 enodes) 1545556589.452 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545556589.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1545556589.452 * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # 1545556589.452 * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # 1545556589.452 * [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))))) 1545556589.453 * * [misc]simplify: iters left: 6 (35 enodes) 1545556589.468 * * [misc]simplify: iters left: 5 (99 enodes) 1545556589.508 * * [misc]simplify: iters left: 4 (298 enodes) 1545556589.665 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545556589.665 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) (sqrt k)))) 1545556589.665 * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # 1545556589.665 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545556589.666 * * [misc]simplify: iters left: 6 (13 enodes) 1545556589.669 * * [misc]simplify: iters left: 5 (27 enodes) 1545556589.678 * * [misc]simplify: iters left: 4 (53 enodes) 1545556589.695 * * [misc]simplify: iters left: 3 (116 enodes) 1545556589.755 * * [misc]simplify: iters left: 2 (362 enodes) 1545556590.065 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545556590.066 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (sqrt (* n 2)) (- 1 k)) (sqrt k)))) 1545556590.066 * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # 1545556590.066 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545556590.066 * * [misc]simplify: iters left: 6 (13 enodes) 1545556590.071 * * [misc]simplify: iters left: 5 (24 enodes) 1545556590.081 * * [misc]simplify: iters left: 4 (54 enodes) 1545556590.101 * * [misc]simplify: iters left: 3 (143 enodes) 1545556590.197 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545556590.197 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (sqrt k)))) 1545556590.197 * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # 1545556590.197 * [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)))) 1545556590.198 * * [misc]simplify: iters left: 6 (18 enodes) 1545556590.204 * * [misc]simplify: iters left: 5 (39 enodes) 1545556590.218 * * [misc]simplify: iters left: 4 (104 enodes) 1545556590.244 * * [misc]simplify: iters left: 3 (275 enodes) 1545556590.346 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1545556590.346 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556590.346 * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # 1545556590.347 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545556590.347 * * [misc]simplify: iters left: 5 (6 enodes) 1545556590.348 * * [misc]simplify: iters left: 4 (9 enodes) 1545556590.350 * * [misc]simplify: iters left: 3 (17 enodes) 1545556590.352 * * [misc]simplify: iters left: 2 (20 enodes) 1545556590.354 * * [misc]simplify: iters left: 1 (24 enodes) 1545556590.360 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545556590.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556590.360 * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # 1545556590.360 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545556590.360 * * [misc]simplify: iters left: 5 (6 enodes) 1545556590.362 * * [misc]simplify: iters left: 4 (9 enodes) 1545556590.365 * * [misc]simplify: iters left: 3 (17 enodes) 1545556590.369 * * [misc]simplify: iters left: 2 (20 enodes) 1545556590.373 * * [misc]simplify: iters left: 1 (24 enodes) 1545556590.381 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545556590.381 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556590.381 * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # 1545556590.381 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545556590.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545556590.381 * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # 1545556590.382 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545556590.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545556590.382 * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # 1545556590.382 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545556590.382 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545556590.382 * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # 1545556590.382 * [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))))))))))))))) 1545556590.382 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556590.382 * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # 1545556590.382 * [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)))))))) 1545556590.382 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556590.382 * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # 1545556590.382 * [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)))))))) 1545556590.382 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556590.383 * * * [misc]progress: adding candidates to table 1545556592.275 * * [misc]progress: iteration 3 / 4 1545556592.275 * * * [misc]progress: picking best candidate 1545556592.307 * * * * [misc]pick: Picked # 1545556592.307 * * * [misc]progress: localizing error 1545556592.334 * * * [misc]progress: generating rewritten candidates 1545556592.334 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545556592.337 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1545556592.345 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1545556592.368 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1545556592.378 * * * [misc]progress: generating series expansions 1545556592.379 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545556592.379 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545556592.379 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545556592.379 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.379 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.379 * [misc]taylor: Taking taylor expansion of k in k 1545556592.379 * [misc]backup-simplify: Simplify 0 into 0 1545556592.379 * [misc]backup-simplify: Simplify 1 into 1 1545556592.379 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556592.379 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.379 * [misc]backup-simplify: Simplify 2 into 2 1545556592.379 * [misc]taylor: Taking taylor expansion of n in k 1545556592.379 * [misc]backup-simplify: Simplify n into n 1545556592.379 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556592.379 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556592.380 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.380 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.380 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.380 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556592.380 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556592.380 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.381 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.381 * [misc]taylor: Taking taylor expansion of k in n 1545556592.381 * [misc]backup-simplify: Simplify k into k 1545556592.381 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.381 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.381 * [misc]backup-simplify: Simplify 2 into 2 1545556592.381 * [misc]taylor: Taking taylor expansion of n in n 1545556592.381 * [misc]backup-simplify: Simplify 0 into 0 1545556592.381 * [misc]backup-simplify: Simplify 1 into 1 1545556592.381 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.381 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.382 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.382 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.382 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.382 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.382 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.382 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556592.383 * [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)))) 1545556592.383 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.383 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.383 * [misc]taylor: Taking taylor expansion of k in n 1545556592.383 * [misc]backup-simplify: Simplify k into k 1545556592.383 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.383 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.383 * [misc]backup-simplify: Simplify 2 into 2 1545556592.384 * [misc]taylor: Taking taylor expansion of n in n 1545556592.384 * [misc]backup-simplify: Simplify 0 into 0 1545556592.384 * [misc]backup-simplify: Simplify 1 into 1 1545556592.384 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.384 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.384 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.384 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.384 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.384 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.385 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.385 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556592.385 * [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)))) 1545556592.386 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.386 * [misc]backup-simplify: Simplify 2 into 2 1545556592.386 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.386 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of n in k 1545556592.386 * [misc]backup-simplify: Simplify n into n 1545556592.386 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.386 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.386 * [misc]taylor: Taking taylor expansion of k in k 1545556592.386 * [misc]backup-simplify: Simplify 0 into 0 1545556592.386 * [misc]backup-simplify: Simplify 1 into 1 1545556592.386 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545556592.387 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.387 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.387 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.387 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545556592.387 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556592.388 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556592.388 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.390 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.391 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556592.391 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.391 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.392 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556592.393 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.393 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.393 * [misc]backup-simplify: Simplify 0 into 0 1545556592.393 * [misc]backup-simplify: Simplify 0 into 0 1545556592.393 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556592.393 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.394 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.396 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.397 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556592.397 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.397 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545556592.398 * [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))))) 1545556592.399 * [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))))) 1545556592.399 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.403 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556592.404 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.404 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.405 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545556592.407 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556592.407 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.407 * [misc]backup-simplify: Simplify 0 into 0 1545556592.407 * [misc]backup-simplify: Simplify 0 into 0 1545556592.407 * [misc]backup-simplify: Simplify 0 into 0 1545556592.407 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.408 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.408 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.412 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.413 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556592.413 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.414 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545556592.416 * [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))))) 1545556592.417 * [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))))) 1545556592.420 * [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))))) 1545556592.420 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.420 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545556592.420 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.420 * [misc]taylor: Taking taylor expansion of k in k 1545556592.420 * [misc]backup-simplify: Simplify 0 into 0 1545556592.420 * [misc]backup-simplify: Simplify 1 into 1 1545556592.421 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.421 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556592.421 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556592.421 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.421 * [misc]backup-simplify: Simplify 2 into 2 1545556592.421 * [misc]taylor: Taking taylor expansion of n in k 1545556592.421 * [misc]backup-simplify: Simplify n into n 1545556592.421 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556592.421 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556592.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.421 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.421 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.421 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556592.422 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.422 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of k in n 1545556592.422 * [misc]backup-simplify: Simplify k into k 1545556592.422 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.422 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.422 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.422 * [misc]backup-simplify: Simplify 2 into 2 1545556592.422 * [misc]taylor: Taking taylor expansion of n in n 1545556592.422 * [misc]backup-simplify: Simplify 0 into 0 1545556592.422 * [misc]backup-simplify: Simplify 1 into 1 1545556592.422 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.423 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.423 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.423 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.423 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.423 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.424 * [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))) 1545556592.424 * [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)))) 1545556592.424 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of k in n 1545556592.424 * [misc]backup-simplify: Simplify k into k 1545556592.424 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.424 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.424 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.424 * [misc]backup-simplify: Simplify 2 into 2 1545556592.424 * [misc]taylor: Taking taylor expansion of n in n 1545556592.425 * [misc]backup-simplify: Simplify 0 into 0 1545556592.425 * [misc]backup-simplify: Simplify 1 into 1 1545556592.425 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.425 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.425 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.425 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.425 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.426 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.426 * [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))) 1545556592.426 * [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)))) 1545556592.426 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545556592.426 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545556592.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.426 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.427 * [misc]taylor: Taking taylor expansion of k in k 1545556592.427 * [misc]backup-simplify: Simplify 0 into 0 1545556592.427 * [misc]backup-simplify: Simplify 1 into 1 1545556592.427 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.427 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545556592.427 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556592.427 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.427 * [misc]backup-simplify: Simplify 2 into 2 1545556592.427 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.427 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.427 * [misc]taylor: Taking taylor expansion of n in k 1545556592.427 * [misc]backup-simplify: Simplify n into n 1545556592.427 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.427 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.428 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.428 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.428 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556592.428 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545556592.428 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545556592.429 * [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)))) 1545556592.429 * [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)))) 1545556592.429 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556592.432 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.432 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.432 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.433 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556592.434 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.434 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.434 * [misc]backup-simplify: Simplify 0 into 0 1545556592.434 * [misc]backup-simplify: Simplify 0 into 0 1545556592.434 * [misc]backup-simplify: Simplify 0 into 0 1545556592.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.439 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.440 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.440 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556592.440 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.440 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.441 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.441 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556592.443 * [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 1545556592.443 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.443 * [misc]backup-simplify: Simplify 0 into 0 1545556592.443 * [misc]backup-simplify: Simplify 0 into 0 1545556592.443 * [misc]backup-simplify: Simplify 0 into 0 1545556592.443 * [misc]backup-simplify: Simplify 0 into 0 1545556592.444 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.450 * [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 1545556592.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556592.451 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.452 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545556592.456 * [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 1545556592.456 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.456 * [misc]backup-simplify: Simplify 0 into 0 1545556592.456 * [misc]backup-simplify: Simplify 0 into 0 1545556592.456 * [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)))) 1545556592.456 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.456 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545556592.457 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.457 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of k in k 1545556592.457 * [misc]backup-simplify: Simplify 0 into 0 1545556592.457 * [misc]backup-simplify: Simplify 1 into 1 1545556592.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.457 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.457 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.457 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556592.457 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.457 * [misc]backup-simplify: Simplify -2 into -2 1545556592.457 * [misc]taylor: Taking taylor expansion of n in k 1545556592.457 * [misc]backup-simplify: Simplify n into n 1545556592.457 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556592.457 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556592.458 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.458 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.458 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556592.458 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.458 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.458 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of k in n 1545556592.458 * [misc]backup-simplify: Simplify k into k 1545556592.458 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.458 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.458 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.459 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.459 * [misc]backup-simplify: Simplify -2 into -2 1545556592.459 * [misc]taylor: Taking taylor expansion of n in n 1545556592.459 * [misc]backup-simplify: Simplify 0 into 0 1545556592.459 * [misc]backup-simplify: Simplify 1 into 1 1545556592.459 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.459 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.459 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.459 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.460 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.460 * [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))) 1545556592.460 * [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)))) 1545556592.460 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.460 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.460 * [misc]taylor: Taking taylor expansion of k in n 1545556592.461 * [misc]backup-simplify: Simplify k into k 1545556592.461 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.461 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.461 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.461 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.461 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.461 * [misc]backup-simplify: Simplify -2 into -2 1545556592.461 * [misc]taylor: Taking taylor expansion of n in n 1545556592.461 * [misc]backup-simplify: Simplify 0 into 0 1545556592.461 * [misc]backup-simplify: Simplify 1 into 1 1545556592.461 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.461 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.461 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.461 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.462 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.462 * [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))) 1545556592.462 * [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)))) 1545556592.462 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545556592.462 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545556592.462 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.462 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.462 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.462 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.463 * [misc]taylor: Taking taylor expansion of k in k 1545556592.463 * [misc]backup-simplify: Simplify 0 into 0 1545556592.463 * [misc]backup-simplify: Simplify 1 into 1 1545556592.463 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.463 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.463 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545556592.463 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545556592.463 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.463 * [misc]backup-simplify: Simplify -2 into -2 1545556592.463 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.463 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.463 * [misc]taylor: Taking taylor expansion of n in k 1545556592.463 * [misc]backup-simplify: Simplify n into n 1545556592.463 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.463 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.463 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.464 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556592.464 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545556592.464 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545556592.464 * [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)))) 1545556592.465 * [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)))) 1545556592.465 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556592.468 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556592.468 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.469 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.469 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556592.470 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.470 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.470 * [misc]backup-simplify: Simplify 0 into 0 1545556592.470 * [misc]backup-simplify: Simplify 0 into 0 1545556592.470 * [misc]backup-simplify: Simplify 0 into 0 1545556592.471 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.478 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556592.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.479 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556592.479 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.480 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556592.482 * [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 1545556592.482 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.482 * [misc]backup-simplify: Simplify 0 into 0 1545556592.482 * [misc]backup-simplify: Simplify 0 into 0 1545556592.483 * [misc]backup-simplify: Simplify 0 into 0 1545556592.483 * [misc]backup-simplify: Simplify 0 into 0 1545556592.483 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.490 * [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 1545556592.490 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556592.491 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.491 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.492 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545556592.495 * [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 1545556592.495 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.495 * [misc]backup-simplify: Simplify 0 into 0 1545556592.495 * [misc]backup-simplify: Simplify 0 into 0 1545556592.496 * [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))))) 1545556592.496 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1545556592.496 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1545556592.496 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545556592.496 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.496 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.496 * [misc]taylor: Taking taylor expansion of k in k 1545556592.496 * [misc]backup-simplify: Simplify 0 into 0 1545556592.496 * [misc]backup-simplify: Simplify 1 into 1 1545556592.496 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556592.496 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556592.497 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.497 * [misc]backup-simplify: Simplify 2 into 2 1545556592.497 * [misc]taylor: Taking taylor expansion of n in k 1545556592.497 * [misc]backup-simplify: Simplify n into n 1545556592.497 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556592.497 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556592.497 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.497 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.497 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.497 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556592.497 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556592.497 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556592.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.497 * [misc]taylor: Taking taylor expansion of k in k 1545556592.498 * [misc]backup-simplify: Simplify 0 into 0 1545556592.498 * [misc]backup-simplify: Simplify 1 into 1 1545556592.498 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.498 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.499 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.499 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.499 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.499 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.499 * [misc]taylor: Taking taylor expansion of k in n 1545556592.499 * [misc]backup-simplify: Simplify k into k 1545556592.499 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.499 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.499 * [misc]backup-simplify: Simplify 2 into 2 1545556592.499 * [misc]taylor: Taking taylor expansion of n in n 1545556592.499 * [misc]backup-simplify: Simplify 0 into 0 1545556592.499 * [misc]backup-simplify: Simplify 1 into 1 1545556592.500 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.500 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.500 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.500 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.500 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.500 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.501 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.501 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556592.501 * [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)))) 1545556592.501 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556592.501 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.501 * [misc]taylor: Taking taylor expansion of k in n 1545556592.501 * [misc]backup-simplify: Simplify k into k 1545556592.501 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.501 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556592.501 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.502 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556592.502 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.502 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.502 * [misc]taylor: Taking taylor expansion of k in n 1545556592.502 * [misc]backup-simplify: Simplify k into k 1545556592.502 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.502 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.502 * [misc]backup-simplify: Simplify 2 into 2 1545556592.502 * [misc]taylor: Taking taylor expansion of n in n 1545556592.502 * [misc]backup-simplify: Simplify 0 into 0 1545556592.502 * [misc]backup-simplify: Simplify 1 into 1 1545556592.502 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.503 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.503 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.503 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.503 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.503 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.503 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.504 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556592.504 * [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)))) 1545556592.504 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556592.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.504 * [misc]taylor: Taking taylor expansion of k in n 1545556592.504 * [misc]backup-simplify: Simplify k into k 1545556592.504 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.504 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556592.504 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.504 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556592.505 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545556592.505 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.505 * [misc]backup-simplify: Simplify 2 into 2 1545556592.505 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.505 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of n in k 1545556592.505 * [misc]backup-simplify: Simplify n into n 1545556592.505 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.505 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.505 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.505 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.505 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.505 * [misc]taylor: Taking taylor expansion of k in k 1545556592.505 * [misc]backup-simplify: Simplify 0 into 0 1545556592.505 * [misc]backup-simplify: Simplify 1 into 1 1545556592.506 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545556592.506 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.506 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.506 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.506 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545556592.507 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556592.507 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556592.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.507 * [misc]taylor: Taking taylor expansion of k in k 1545556592.507 * [misc]backup-simplify: Simplify 0 into 0 1545556592.507 * [misc]backup-simplify: Simplify 1 into 1 1545556592.507 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.507 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.507 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.508 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545556592.508 * [misc]backup-simplify: Simplify 0 into 0 1545556592.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.510 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556592.511 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.511 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.511 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556592.512 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.513 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545556592.513 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.513 * [misc]backup-simplify: Simplify 0 into 0 1545556592.513 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556592.513 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.513 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.515 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.516 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556592.516 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.517 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545556592.517 * [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))))) 1545556592.518 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545556592.518 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545556592.519 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.519 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545556592.520 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.523 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.524 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556592.524 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.524 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.525 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545556592.526 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556592.527 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545556592.527 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.527 * [misc]backup-simplify: Simplify 0 into 0 1545556592.527 * [misc]backup-simplify: Simplify 0 into 0 1545556592.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556592.528 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.529 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.529 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.533 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.534 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556592.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.535 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545556592.536 * [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))))) 1545556592.538 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (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))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545556592.539 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1545556592.540 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.540 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545556592.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545556592.546 * [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 1545556592.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545556592.547 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.547 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.548 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545556592.551 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545556592.552 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545556592.552 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.552 * [misc]backup-simplify: Simplify 0 into 0 1545556592.552 * [misc]backup-simplify: Simplify 0 into 0 1545556592.552 * [misc]backup-simplify: Simplify 0 into 0 1545556592.552 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.553 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.554 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.561 * [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 1545556592.564 * [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 1545556592.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.564 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545556592.567 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1545556592.572 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (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))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545556592.576 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1545556592.583 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545556592.584 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1545556592.584 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545556592.584 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.584 * [misc]taylor: Taking taylor expansion of k in k 1545556592.584 * [misc]backup-simplify: Simplify 0 into 0 1545556592.584 * [misc]backup-simplify: Simplify 1 into 1 1545556592.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.585 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556592.585 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556592.585 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.585 * [misc]backup-simplify: Simplify 2 into 2 1545556592.585 * [misc]taylor: Taking taylor expansion of n in k 1545556592.585 * [misc]backup-simplify: Simplify n into n 1545556592.585 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556592.585 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556592.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.585 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.585 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.585 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556592.586 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.586 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556592.586 * [misc]taylor: Taking taylor expansion of k in k 1545556592.586 * [misc]backup-simplify: Simplify 0 into 0 1545556592.586 * [misc]backup-simplify: Simplify 1 into 1 1545556592.586 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.587 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.587 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of k in n 1545556592.587 * [misc]backup-simplify: Simplify k into k 1545556592.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.587 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.587 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.587 * [misc]backup-simplify: Simplify 2 into 2 1545556592.587 * [misc]taylor: Taking taylor expansion of n in n 1545556592.587 * [misc]backup-simplify: Simplify 0 into 0 1545556592.587 * [misc]backup-simplify: Simplify 1 into 1 1545556592.587 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.588 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.588 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.588 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.588 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.588 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.588 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545556592.589 * [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)))) 1545556592.589 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of k in n 1545556592.589 * [misc]backup-simplify: Simplify k into k 1545556592.589 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556592.589 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556592.589 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.589 * [misc]taylor: Taking taylor expansion of k in n 1545556592.589 * [misc]backup-simplify: Simplify k into k 1545556592.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.590 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.590 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.590 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.590 * [misc]backup-simplify: Simplify 2 into 2 1545556592.590 * [misc]taylor: Taking taylor expansion of n in n 1545556592.590 * [misc]backup-simplify: Simplify 0 into 0 1545556592.590 * [misc]backup-simplify: Simplify 1 into 1 1545556592.590 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.590 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.590 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.590 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.591 * [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))) 1545556592.591 * [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)))) 1545556592.591 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556592.591 * [misc]taylor: Taking taylor expansion of k in n 1545556592.591 * [misc]backup-simplify: Simplify k into k 1545556592.592 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556592.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556592.592 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545556592.592 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545556592.592 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556592.592 * [misc]taylor: Taking taylor expansion of k in k 1545556592.592 * [misc]backup-simplify: Simplify 0 into 0 1545556592.592 * [misc]backup-simplify: Simplify 1 into 1 1545556592.592 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.593 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.593 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.593 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of k in k 1545556592.593 * [misc]backup-simplify: Simplify 0 into 0 1545556592.593 * [misc]backup-simplify: Simplify 1 into 1 1545556592.593 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.593 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556592.593 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.593 * [misc]backup-simplify: Simplify 2 into 2 1545556592.594 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.594 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.594 * [misc]taylor: Taking taylor expansion of n in k 1545556592.594 * [misc]backup-simplify: Simplify n into n 1545556592.594 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.594 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.594 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.594 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556592.595 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545556592.595 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545556592.595 * [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)))) 1545556592.596 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545556592.596 * [misc]backup-simplify: Simplify 0 into 0 1545556592.596 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556592.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.599 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.599 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.600 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556592.601 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.602 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545556592.602 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.602 * [misc]backup-simplify: Simplify 0 into 0 1545556592.602 * [misc]backup-simplify: Simplify 0 into 0 1545556592.602 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.603 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.603 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545556592.604 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.608 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556592.609 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.609 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556592.609 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.609 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.610 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556592.612 * [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 1545556592.613 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545556592.613 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.613 * [misc]backup-simplify: Simplify 0 into 0 1545556592.613 * [misc]backup-simplify: Simplify 0 into 0 1545556592.613 * [misc]backup-simplify: Simplify 0 into 0 1545556592.614 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.615 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.615 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.615 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545556592.616 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.623 * [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 1545556592.623 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556592.623 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.624 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.624 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545556592.628 * [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 1545556592.630 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545556592.630 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.630 * [misc]backup-simplify: Simplify 0 into 0 1545556592.630 * [misc]backup-simplify: Simplify 0 into 0 1545556592.630 * [misc]backup-simplify: Simplify 0 into 0 1545556592.630 * [misc]backup-simplify: Simplify 0 into 0 1545556592.631 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.632 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.632 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545556592.634 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545556592.634 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545556592.634 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545556592.634 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545556592.634 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.635 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of k in k 1545556592.635 * [misc]backup-simplify: Simplify 0 into 0 1545556592.635 * [misc]backup-simplify: Simplify 1 into 1 1545556592.635 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.635 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.635 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556592.635 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.635 * [misc]backup-simplify: Simplify -2 into -2 1545556592.635 * [misc]taylor: Taking taylor expansion of n in k 1545556592.635 * [misc]backup-simplify: Simplify n into n 1545556592.635 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556592.635 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556592.636 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.636 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.636 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556592.636 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.636 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556592.636 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556592.636 * [misc]taylor: Taking taylor expansion of -1 in k 1545556592.636 * [misc]backup-simplify: Simplify -1 into -1 1545556592.636 * [misc]taylor: Taking taylor expansion of k in k 1545556592.636 * [misc]backup-simplify: Simplify 0 into 0 1545556592.636 * [misc]backup-simplify: Simplify 1 into 1 1545556592.636 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556592.636 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.637 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556592.637 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545556592.637 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556592.637 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.637 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.637 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.637 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.638 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.638 * [misc]taylor: Taking taylor expansion of k in n 1545556592.638 * [misc]backup-simplify: Simplify k into k 1545556592.638 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.638 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.638 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.638 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.638 * [misc]backup-simplify: Simplify -2 into -2 1545556592.638 * [misc]taylor: Taking taylor expansion of n in n 1545556592.638 * [misc]backup-simplify: Simplify 0 into 0 1545556592.638 * [misc]backup-simplify: Simplify 1 into 1 1545556592.638 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.638 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.638 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.638 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.639 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.639 * [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))) 1545556592.639 * [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)))) 1545556592.639 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556592.639 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556592.639 * [misc]taylor: Taking taylor expansion of -1 in n 1545556592.639 * [misc]backup-simplify: Simplify -1 into -1 1545556592.639 * [misc]taylor: Taking taylor expansion of k in n 1545556592.639 * [misc]backup-simplify: Simplify k into k 1545556592.639 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556592.640 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556592.640 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556592.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556592.640 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545556592.640 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of k in n 1545556592.640 * [misc]backup-simplify: Simplify k into k 1545556592.640 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.640 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.640 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.640 * [misc]backup-simplify: Simplify -2 into -2 1545556592.640 * [misc]taylor: Taking taylor expansion of n in n 1545556592.640 * [misc]backup-simplify: Simplify 0 into 0 1545556592.640 * [misc]backup-simplify: Simplify 1 into 1 1545556592.640 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.641 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.641 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.641 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.641 * [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))) 1545556592.641 * [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)))) 1545556592.641 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556592.641 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556592.641 * [misc]taylor: Taking taylor expansion of -1 in n 1545556592.641 * [misc]backup-simplify: Simplify -1 into -1 1545556592.641 * [misc]taylor: Taking taylor expansion of k in n 1545556592.641 * [misc]backup-simplify: Simplify k into k 1545556592.641 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556592.641 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556592.641 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556592.642 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556592.642 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545556592.642 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of k in k 1545556592.642 * [misc]backup-simplify: Simplify 0 into 0 1545556592.642 * [misc]backup-simplify: Simplify 1 into 1 1545556592.642 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.642 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.642 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.642 * [misc]backup-simplify: Simplify -2 into -2 1545556592.642 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.642 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556592.642 * [misc]taylor: Taking taylor expansion of n in k 1545556592.642 * [misc]backup-simplify: Simplify n into n 1545556592.642 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556592.643 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.643 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.643 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556592.643 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545556592.643 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545556592.643 * [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)))) 1545556592.643 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556592.643 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556592.643 * [misc]taylor: Taking taylor expansion of -1 in k 1545556592.643 * [misc]backup-simplify: Simplify -1 into -1 1545556592.643 * [misc]taylor: Taking taylor expansion of k in k 1545556592.643 * [misc]backup-simplify: Simplify 0 into 0 1545556592.643 * [misc]backup-simplify: Simplify 1 into 1 1545556592.643 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556592.644 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.644 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556592.644 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545556592.644 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545556592.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556592.646 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556592.646 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.646 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.646 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.647 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.647 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556592.648 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.648 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545556592.648 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.648 * [misc]backup-simplify: Simplify 0 into 0 1545556592.648 * [misc]backup-simplify: Simplify 0 into 0 1545556592.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556592.649 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.649 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556592.649 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556592.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.652 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556592.652 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556592.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.653 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556592.654 * [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 1545556592.654 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556592.655 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545556592.655 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545556592.655 * [misc]taylor: Taking taylor expansion of 0 in k 1545556592.656 * [misc]backup-simplify: Simplify 0 into 0 1545556592.656 * [misc]backup-simplify: Simplify 0 into 0 1545556592.656 * [misc]backup-simplify: Simplify 0 into 0 1545556592.656 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.657 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.657 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556592.658 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545556592.659 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545556592.659 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1545556592.659 * [misc]backup-simplify: Simplify (* (exp (* (log 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))) 1545556592.659 * [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 1545556592.659 * [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 1545556592.659 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.659 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.660 * [misc]taylor: Taking taylor expansion of k in n 1545556592.660 * [misc]backup-simplify: Simplify k into k 1545556592.660 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.660 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.660 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.660 * [misc]backup-simplify: Simplify 2 into 2 1545556592.660 * [misc]taylor: Taking taylor expansion of n in n 1545556592.660 * [misc]backup-simplify: Simplify 0 into 0 1545556592.660 * [misc]backup-simplify: Simplify 1 into 1 1545556592.660 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.660 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.660 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.660 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.660 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.661 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.661 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.661 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556592.661 * [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)))) 1545556592.662 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.662 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.662 * [misc]taylor: Taking taylor expansion of k in n 1545556592.662 * [misc]backup-simplify: Simplify k into k 1545556592.662 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.662 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.662 * [misc]backup-simplify: Simplify PI into PI 1545556592.662 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.662 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556592.662 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556592.662 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556592.663 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556592.663 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545556592.663 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556592.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.663 * [misc]taylor: Taking taylor expansion of k in n 1545556592.663 * [misc]backup-simplify: Simplify k into k 1545556592.663 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.663 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556592.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.664 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556592.664 * [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 1545556592.664 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.664 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.664 * [misc]taylor: Taking taylor expansion of k in k 1545556592.664 * [misc]backup-simplify: Simplify 0 into 0 1545556592.664 * [misc]backup-simplify: Simplify 1 into 1 1545556592.664 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556592.664 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.664 * [misc]backup-simplify: Simplify 2 into 2 1545556592.664 * [misc]taylor: Taking taylor expansion of n in k 1545556592.664 * [misc]backup-simplify: Simplify n into n 1545556592.664 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556592.664 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556592.664 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.665 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.665 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.665 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556592.665 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556592.665 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.665 * [misc]taylor: Taking taylor expansion of k in k 1545556592.665 * [misc]backup-simplify: Simplify 0 into 0 1545556592.665 * [misc]backup-simplify: Simplify 1 into 1 1545556592.665 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.665 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.665 * [misc]backup-simplify: Simplify PI into PI 1545556592.666 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.666 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.667 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.667 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556592.667 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556592.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.667 * [misc]taylor: Taking taylor expansion of k in k 1545556592.667 * [misc]backup-simplify: Simplify 0 into 0 1545556592.668 * [misc]backup-simplify: Simplify 1 into 1 1545556592.668 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.668 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.668 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.668 * [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 1545556592.668 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556592.668 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556592.668 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556592.668 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556592.668 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.669 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.669 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.669 * [misc]taylor: Taking taylor expansion of k in k 1545556592.669 * [misc]backup-simplify: Simplify 0 into 0 1545556592.669 * [misc]backup-simplify: Simplify 1 into 1 1545556592.669 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556592.669 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556592.669 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.669 * [misc]backup-simplify: Simplify 2 into 2 1545556592.669 * [misc]taylor: Taking taylor expansion of n in k 1545556592.669 * [misc]backup-simplify: Simplify n into n 1545556592.669 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556592.669 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556592.669 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.669 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.669 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.670 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556592.670 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556592.670 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.670 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.670 * [misc]taylor: Taking taylor expansion of k in k 1545556592.670 * [misc]backup-simplify: Simplify 0 into 0 1545556592.670 * [misc]backup-simplify: Simplify 1 into 1 1545556592.670 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.670 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.670 * [misc]backup-simplify: Simplify PI into PI 1545556592.670 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.670 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.671 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.671 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.671 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.672 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556592.672 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556592.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.672 * [misc]taylor: Taking taylor expansion of k in k 1545556592.672 * [misc]backup-simplify: Simplify 0 into 0 1545556592.672 * [misc]backup-simplify: Simplify 1 into 1 1545556592.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.672 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.673 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.673 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545556592.673 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545556592.673 * [misc]taylor: Taking taylor expansion of 0 in n 1545556592.674 * [misc]backup-simplify: Simplify 0 into 0 1545556592.674 * [misc]backup-simplify: Simplify 0 into 0 1545556592.676 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556592.676 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556592.676 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.676 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556592.680 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556592.681 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545556592.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545556592.681 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556592.682 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.682 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545556592.682 * [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)))) 1545556592.684 * [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)))))) 1545556592.685 * [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))))) 1545556592.685 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545556592.685 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556592.685 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.685 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.685 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556592.686 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.686 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.686 * [misc]backup-simplify: Simplify 2 into 2 1545556592.686 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.686 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.686 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556592.686 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556592.686 * [misc]taylor: Taking taylor expansion of n in n 1545556592.686 * [misc]backup-simplify: Simplify 0 into 0 1545556592.686 * [misc]backup-simplify: Simplify 1 into 1 1545556592.686 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.686 * [misc]backup-simplify: Simplify PI into PI 1545556592.686 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556592.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556592.687 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.688 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.688 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556592.688 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.688 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.688 * [misc]backup-simplify: Simplify 0 into 0 1545556592.688 * [misc]backup-simplify: Simplify 0 into 0 1545556592.688 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556592.690 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.694 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556592.694 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.694 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556592.700 * [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))) 1545556592.701 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545556592.702 * [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 1545556592.702 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.703 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.703 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.703 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545556592.704 * [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))) 1545556592.707 * [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))))))) 1545556592.712 * [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))))))))) 1545556592.712 * [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 1545556592.712 * [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 1545556592.712 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556592.712 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.712 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.712 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556592.712 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556592.712 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.712 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.712 * [misc]backup-simplify: Simplify 2 into 2 1545556592.713 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.713 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.713 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.713 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.713 * [misc]backup-simplify: Simplify PI into PI 1545556592.713 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.713 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.713 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.713 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.713 * [misc]backup-simplify: Simplify PI into PI 1545556592.713 * [misc]taylor: Taking taylor expansion of n in n 1545556592.713 * [misc]backup-simplify: Simplify 0 into 0 1545556592.713 * [misc]backup-simplify: Simplify 1 into 1 1545556592.714 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.714 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.715 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.715 * [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 1545556592.715 * [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 1545556592.715 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556592.715 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.715 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.715 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556592.715 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.715 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.715 * [misc]backup-simplify: Simplify 2 into 2 1545556592.715 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.716 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556592.716 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556592.716 * [misc]taylor: Taking taylor expansion of n in n 1545556592.716 * [misc]backup-simplify: Simplify 0 into 0 1545556592.716 * [misc]backup-simplify: Simplify 1 into 1 1545556592.716 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.716 * [misc]backup-simplify: Simplify PI into PI 1545556592.716 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556592.717 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556592.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.717 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.717 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556592.717 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556592.717 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.717 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.717 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556592.717 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556592.717 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.717 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.717 * [misc]backup-simplify: Simplify 2 into 2 1545556592.718 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.718 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.718 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.718 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.718 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.718 * [misc]backup-simplify: Simplify 2 into 2 1545556592.718 * [misc]taylor: Taking taylor expansion of n in n 1545556592.718 * [misc]backup-simplify: Simplify 0 into 0 1545556592.718 * [misc]backup-simplify: Simplify 1 into 1 1545556592.718 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.718 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.719 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.719 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.719 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.719 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.719 * [misc]backup-simplify: Simplify PI into PI 1545556592.719 * [misc]taylor: Taking taylor expansion of n in n 1545556592.719 * [misc]backup-simplify: Simplify 0 into 0 1545556592.719 * [misc]backup-simplify: Simplify 1 into 1 1545556592.719 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.720 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.720 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.720 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.721 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556592.722 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556592.722 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.722 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556592.723 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.723 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.723 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556592.724 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556592.724 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.724 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.724 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.725 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.725 * [misc]backup-simplify: Simplify 0 into 0 1545556592.726 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.728 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.729 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.730 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.730 * [misc]backup-simplify: Simplify 0 into 0 1545556592.730 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.732 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.739 * [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 1545556592.739 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556592.748 * [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))) 1545556592.749 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545556592.751 * [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 1545556592.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.752 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545556592.754 * [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))) 1545556592.760 * [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))))))))) 1545556592.770 * [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))))))))))))))) 1545556592.770 * [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 1545556592.770 * [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 1545556592.770 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556592.770 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.770 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.770 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556592.770 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556592.770 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.770 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.770 * [misc]backup-simplify: Simplify 2 into 2 1545556592.771 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.771 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.771 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.771 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.771 * [misc]backup-simplify: Simplify PI into PI 1545556592.771 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.771 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.771 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.771 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.771 * [misc]backup-simplify: Simplify PI into PI 1545556592.771 * [misc]taylor: Taking taylor expansion of n in n 1545556592.772 * [misc]backup-simplify: Simplify 0 into 0 1545556592.772 * [misc]backup-simplify: Simplify 1 into 1 1545556592.772 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.773 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.773 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.773 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.773 * [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 1545556592.773 * [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 1545556592.773 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545556592.773 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.774 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.774 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545556592.774 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545556592.774 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.774 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.774 * [misc]backup-simplify: Simplify 2 into 2 1545556592.774 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.774 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.774 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545556592.774 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.774 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.774 * [misc]backup-simplify: Simplify PI into PI 1545556592.774 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.774 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.775 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.775 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.775 * [misc]backup-simplify: Simplify PI into PI 1545556592.775 * [misc]taylor: Taking taylor expansion of n in n 1545556592.775 * [misc]backup-simplify: Simplify 0 into 0 1545556592.775 * [misc]backup-simplify: Simplify 1 into 1 1545556592.775 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.776 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.776 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.776 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.776 * [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 1545556592.776 * [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 1545556592.776 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545556592.776 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.776 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.776 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545556592.776 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545556592.776 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.776 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.777 * [misc]backup-simplify: Simplify 2 into 2 1545556592.777 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.777 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.777 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545556592.777 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.777 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.777 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.777 * [misc]backup-simplify: Simplify 2 into 2 1545556592.777 * [misc]taylor: Taking taylor expansion of n in n 1545556592.777 * [misc]backup-simplify: Simplify 0 into 0 1545556592.777 * [misc]backup-simplify: Simplify 1 into 1 1545556592.777 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.777 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.778 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.779 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.779 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.779 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.779 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.780 * [misc]backup-simplify: Simplify PI into PI 1545556592.780 * [misc]taylor: Taking taylor expansion of n in n 1545556592.780 * [misc]backup-simplify: Simplify 0 into 0 1545556592.780 * [misc]backup-simplify: Simplify 1 into 1 1545556592.780 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.780 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.781 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.781 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.781 * [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 1545556592.781 * [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 1545556592.781 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545556592.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.781 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545556592.781 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545556592.781 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.781 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.781 * [misc]backup-simplify: Simplify 2 into 2 1545556592.782 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.782 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.782 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545556592.782 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.782 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.782 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.782 * [misc]backup-simplify: Simplify 2 into 2 1545556592.782 * [misc]taylor: Taking taylor expansion of n in n 1545556592.782 * [misc]backup-simplify: Simplify 0 into 0 1545556592.782 * [misc]backup-simplify: Simplify 1 into 1 1545556592.782 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.782 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.783 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.783 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.783 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.783 * [misc]backup-simplify: Simplify PI into PI 1545556592.783 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.783 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556592.783 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556592.783 * [misc]taylor: Taking taylor expansion of n in n 1545556592.783 * [misc]backup-simplify: Simplify 0 into 0 1545556592.783 * [misc]backup-simplify: Simplify 1 into 1 1545556592.783 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.783 * [misc]backup-simplify: Simplify PI into PI 1545556592.783 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556592.784 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556592.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.785 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.785 * [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 1545556592.785 * [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 1545556592.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556592.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.785 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556592.785 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.785 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.785 * [misc]backup-simplify: Simplify 2 into 2 1545556592.785 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.785 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556592.785 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556592.785 * [misc]taylor: Taking taylor expansion of n in n 1545556592.785 * [misc]backup-simplify: Simplify 0 into 0 1545556592.785 * [misc]backup-simplify: Simplify 1 into 1 1545556592.786 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.786 * [misc]backup-simplify: Simplify PI into PI 1545556592.786 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556592.786 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556592.787 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.787 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.787 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556592.787 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556592.787 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.787 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.787 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556592.787 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556592.787 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556592.787 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.787 * [misc]backup-simplify: Simplify 2 into 2 1545556592.787 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556592.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556592.788 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556592.788 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556592.788 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.788 * [misc]backup-simplify: Simplify 2 into 2 1545556592.788 * [misc]taylor: Taking taylor expansion of n in n 1545556592.788 * [misc]backup-simplify: Simplify 0 into 0 1545556592.788 * [misc]backup-simplify: Simplify 1 into 1 1545556592.788 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556592.788 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556592.788 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.788 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556592.788 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556592.789 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.789 * [misc]backup-simplify: Simplify PI into PI 1545556592.789 * [misc]taylor: Taking taylor expansion of n in n 1545556592.789 * [misc]backup-simplify: Simplify 0 into 0 1545556592.789 * [misc]backup-simplify: Simplify 1 into 1 1545556592.789 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556592.789 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556592.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.790 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556592.791 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556592.792 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556592.792 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.793 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545556592.794 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545556592.795 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545556592.795 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.796 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.796 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545556592.796 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545556592.797 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545556592.797 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.797 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.798 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545556592.798 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545556592.799 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545556592.799 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.800 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556592.800 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.800 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.800 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556592.801 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556592.801 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556592.801 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.801 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.801 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.803 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.803 * [misc]backup-simplify: Simplify 0 into 0 1545556592.805 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556592.806 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545556592.808 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556592.810 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556592.811 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.813 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556592.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.816 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.817 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556592.817 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556592.818 * [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)))))) 1545556592.820 * [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)))))) 1545556592.822 * [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)))))) 1545556592.825 * [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))))))) 1545556592.829 * [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))))))) 1545556592.835 * [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))))))))) 1545556592.840 * [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))))))))) 1545556592.843 * [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))))))))) 1545556592.844 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556592.845 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545556592.846 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545556592.847 * [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)))) 1545556592.849 * [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)))) 1545556592.850 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556592.851 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556592.857 * [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))))))))))))))) 1545556592.857 * [misc]backup-simplify: Simplify (* (exp (* (log 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)) 1545556592.857 * [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 1545556592.857 * [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 1545556592.857 * [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 1545556592.857 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.857 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556592.857 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556592.858 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.858 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.858 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.858 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.858 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.858 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.858 * [misc]taylor: Taking taylor expansion of k in n 1545556592.858 * [misc]backup-simplify: Simplify k into k 1545556592.858 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.858 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.858 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.858 * [misc]backup-simplify: Simplify PI into PI 1545556592.858 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.858 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.858 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.858 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.858 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556592.859 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.859 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.859 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.859 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.859 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of k in n 1545556592.859 * [misc]backup-simplify: Simplify k into k 1545556592.859 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.859 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.859 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.859 * [misc]backup-simplify: Simplify 2 into 2 1545556592.859 * [misc]taylor: Taking taylor expansion of n in n 1545556592.859 * [misc]backup-simplify: Simplify 0 into 0 1545556592.859 * [misc]backup-simplify: Simplify 1 into 1 1545556592.859 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.859 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.859 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.859 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.859 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.860 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.860 * [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))) 1545556592.860 * [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)))) 1545556592.860 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556592.860 * [misc]taylor: Taking taylor expansion of k in n 1545556592.860 * [misc]backup-simplify: Simplify k into k 1545556592.860 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556592.860 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556592.860 * [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 1545556592.860 * [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 1545556592.860 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.860 * [misc]taylor: Taking taylor expansion of k in k 1545556592.860 * [misc]backup-simplify: Simplify 0 into 0 1545556592.860 * [misc]backup-simplify: Simplify 1 into 1 1545556592.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.861 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.861 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.861 * [misc]backup-simplify: Simplify PI into PI 1545556592.861 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.861 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.861 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.861 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.861 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556592.861 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.862 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of k in k 1545556592.862 * [misc]backup-simplify: Simplify 0 into 0 1545556592.862 * [misc]backup-simplify: Simplify 1 into 1 1545556592.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.862 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556592.862 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.862 * [misc]backup-simplify: Simplify 2 into 2 1545556592.862 * [misc]taylor: Taking taylor expansion of n in k 1545556592.862 * [misc]backup-simplify: Simplify n into n 1545556592.862 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556592.862 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556592.862 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.862 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.862 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.862 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556592.862 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.863 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of k in k 1545556592.863 * [misc]backup-simplify: Simplify 0 into 0 1545556592.863 * [misc]backup-simplify: Simplify 1 into 1 1545556592.863 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.863 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.863 * [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 1545556592.863 * [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 1545556592.863 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of k in k 1545556592.863 * [misc]backup-simplify: Simplify 0 into 0 1545556592.863 * [misc]backup-simplify: Simplify 1 into 1 1545556592.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.863 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.863 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.863 * [misc]backup-simplify: Simplify PI into PI 1545556592.864 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.864 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.864 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.864 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.864 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556592.864 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.864 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.864 * [misc]taylor: Taking taylor expansion of k in k 1545556592.865 * [misc]backup-simplify: Simplify 0 into 0 1545556592.865 * [misc]backup-simplify: Simplify 1 into 1 1545556592.865 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.865 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556592.865 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556592.865 * [misc]taylor: Taking taylor expansion of 2 in k 1545556592.865 * [misc]backup-simplify: Simplify 2 into 2 1545556592.865 * [misc]taylor: Taking taylor expansion of n in k 1545556592.865 * [misc]backup-simplify: Simplify n into n 1545556592.865 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556592.865 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556592.865 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.865 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.865 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.865 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556592.865 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.865 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556592.865 * [misc]taylor: Taking taylor expansion of k in k 1545556592.865 * [misc]backup-simplify: Simplify 0 into 0 1545556592.865 * [misc]backup-simplify: Simplify 1 into 1 1545556592.865 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.866 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556592.866 * [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))))) 1545556592.866 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545556592.866 * [misc]taylor: Taking taylor expansion of 0 in n 1545556592.866 * [misc]backup-simplify: Simplify 0 into 0 1545556592.866 * [misc]backup-simplify: Simplify 0 into 0 1545556592.866 * [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 1545556592.867 * [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))))))) 1545556592.867 * [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 1545556592.867 * [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 1545556592.867 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.867 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.867 * [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 1545556592.867 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of k in n 1545556592.867 * [misc]backup-simplify: Simplify k into k 1545556592.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.867 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.867 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.867 * [misc]backup-simplify: Simplify PI into PI 1545556592.867 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.867 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.868 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.868 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556592.868 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.868 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of k in n 1545556592.868 * [misc]backup-simplify: Simplify k into k 1545556592.868 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.868 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.868 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.868 * [misc]backup-simplify: Simplify 2 into 2 1545556592.868 * [misc]taylor: Taking taylor expansion of n in n 1545556592.868 * [misc]backup-simplify: Simplify 0 into 0 1545556592.868 * [misc]backup-simplify: Simplify 1 into 1 1545556592.869 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.869 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.869 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.869 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.869 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.869 * [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))) 1545556592.869 * [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)))) 1545556592.870 * [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))))) 1545556592.870 * [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)))))) 1545556592.870 * [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))))))) 1545556592.871 * [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))))))) 1545556592.871 * [misc]backup-simplify: Simplify 0 into 0 1545556592.871 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.872 * [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 1545556592.872 * [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))))))) 1545556592.872 * [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 1545556592.872 * [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 1545556592.872 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.872 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.872 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.872 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of k in n 1545556592.872 * [misc]backup-simplify: Simplify k into k 1545556592.872 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.872 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.872 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.872 * [misc]backup-simplify: Simplify PI into PI 1545556592.872 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.873 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.873 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.873 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.873 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556592.873 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.873 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.873 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of k in n 1545556592.873 * [misc]backup-simplify: Simplify k into k 1545556592.873 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.873 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.873 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.873 * [misc]backup-simplify: Simplify 2 into 2 1545556592.873 * [misc]taylor: Taking taylor expansion of n in n 1545556592.873 * [misc]backup-simplify: Simplify 0 into 0 1545556592.873 * [misc]backup-simplify: Simplify 1 into 1 1545556592.874 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.874 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.874 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.874 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.874 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.874 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.874 * [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))) 1545556592.874 * [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)))) 1545556592.875 * [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))))) 1545556592.875 * [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)))))) 1545556592.875 * [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))))))) 1545556592.876 * [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))))))) 1545556592.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556592.877 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556592.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.878 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.878 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556592.879 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.880 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556592.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.881 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.881 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.881 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545556592.882 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.882 * [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 1545556592.883 * [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 1545556592.883 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.883 * [misc]backup-simplify: Simplify 0 into 0 1545556592.883 * [misc]backup-simplify: Simplify 0 into 0 1545556592.884 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.884 * [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 1545556592.885 * [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))))))) 1545556592.885 * [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 1545556592.885 * [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 1545556592.885 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.885 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.885 * [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 1545556592.885 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.885 * [misc]taylor: Taking taylor expansion of k in n 1545556592.885 * [misc]backup-simplify: Simplify k into k 1545556592.886 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.886 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.886 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.886 * [misc]backup-simplify: Simplify PI into PI 1545556592.886 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.886 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.886 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.886 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556592.887 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556592.887 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of k in n 1545556592.887 * [misc]backup-simplify: Simplify k into k 1545556592.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.887 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556592.887 * [misc]taylor: Taking taylor expansion of 2 in n 1545556592.887 * [misc]backup-simplify: Simplify 2 into 2 1545556592.887 * [misc]taylor: Taking taylor expansion of n in n 1545556592.887 * [misc]backup-simplify: Simplify 0 into 0 1545556592.887 * [misc]backup-simplify: Simplify 1 into 1 1545556592.888 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556592.888 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556592.888 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.888 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556592.888 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556592.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556592.889 * [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))) 1545556592.889 * [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)))) 1545556592.889 * [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))))) 1545556592.890 * [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)))))) 1545556592.890 * [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))))))) 1545556592.891 * [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))))))) 1545556592.893 * [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)))))))) 1545556592.894 * [misc]backup-simplify: Simplify (* (exp (* (log 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))) 1545556592.894 * [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 1545556592.894 * [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 1545556592.894 * [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 1545556592.894 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.894 * [misc]taylor: Taking taylor expansion of k in n 1545556592.894 * [misc]backup-simplify: Simplify k into k 1545556592.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.895 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.895 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.895 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.895 * [misc]backup-simplify: Simplify -2 into -2 1545556592.895 * [misc]taylor: Taking taylor expansion of n in n 1545556592.895 * [misc]backup-simplify: Simplify 0 into 0 1545556592.895 * [misc]backup-simplify: Simplify 1 into 1 1545556592.895 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.895 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.895 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.895 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.896 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.896 * [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))) 1545556592.896 * [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)))) 1545556592.896 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.896 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556592.896 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556592.896 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.896 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.897 * [misc]taylor: Taking taylor expansion of k in n 1545556592.897 * [misc]backup-simplify: Simplify k into k 1545556592.897 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.897 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.897 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.897 * [misc]backup-simplify: Simplify PI into PI 1545556592.897 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.897 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.897 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.898 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556592.898 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.898 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556592.898 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556592.898 * [misc]taylor: Taking taylor expansion of -1 in n 1545556592.898 * [misc]backup-simplify: Simplify -1 into -1 1545556592.898 * [misc]taylor: Taking taylor expansion of k in n 1545556592.898 * [misc]backup-simplify: Simplify k into k 1545556592.898 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556592.898 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556592.898 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556592.899 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556592.899 * [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))) 1545556592.899 * [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))) 1545556592.900 * [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 1545556592.900 * [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 1545556592.900 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of k in k 1545556592.900 * [misc]backup-simplify: Simplify 0 into 0 1545556592.900 * [misc]backup-simplify: Simplify 1 into 1 1545556592.900 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.900 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556592.900 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.900 * [misc]backup-simplify: Simplify -2 into -2 1545556592.900 * [misc]taylor: Taking taylor expansion of n in k 1545556592.900 * [misc]backup-simplify: Simplify n into n 1545556592.900 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556592.900 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556592.901 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.901 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.901 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556592.901 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.901 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.901 * [misc]taylor: Taking taylor expansion of k in k 1545556592.901 * [misc]backup-simplify: Simplify 0 into 0 1545556592.901 * [misc]backup-simplify: Simplify 1 into 1 1545556592.902 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.902 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.902 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.902 * [misc]backup-simplify: Simplify PI into PI 1545556592.902 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.902 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.903 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.903 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.903 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556592.903 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556592.903 * [misc]taylor: Taking taylor expansion of -1 in k 1545556592.903 * [misc]backup-simplify: Simplify -1 into -1 1545556592.903 * [misc]taylor: Taking taylor expansion of k in k 1545556592.903 * [misc]backup-simplify: Simplify 0 into 0 1545556592.903 * [misc]backup-simplify: Simplify 1 into 1 1545556592.903 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556592.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.904 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556592.904 * [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))) 1545556592.905 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545556592.905 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of k in k 1545556592.905 * [misc]backup-simplify: Simplify 0 into 0 1545556592.905 * [misc]backup-simplify: Simplify 1 into 1 1545556592.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.905 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.905 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556592.905 * [misc]taylor: Taking taylor expansion of -2 in k 1545556592.905 * [misc]backup-simplify: Simplify -2 into -2 1545556592.905 * [misc]taylor: Taking taylor expansion of n in k 1545556592.905 * [misc]backup-simplify: Simplify n into n 1545556592.906 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556592.906 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556592.906 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.906 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.906 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556592.906 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.906 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556592.906 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556592.906 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556592.906 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556592.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556592.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556592.907 * [misc]taylor: Taking taylor expansion of k in k 1545556592.907 * [misc]backup-simplify: Simplify 0 into 0 1545556592.907 * [misc]backup-simplify: Simplify 1 into 1 1545556592.907 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556592.907 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.907 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.907 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.907 * [misc]backup-simplify: Simplify PI into PI 1545556592.907 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.907 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556592.907 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.908 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.908 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.908 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556592.908 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556592.909 * [misc]taylor: Taking taylor expansion of -1 in k 1545556592.909 * [misc]backup-simplify: Simplify -1 into -1 1545556592.910 * [misc]taylor: Taking taylor expansion of k in k 1545556592.910 * [misc]backup-simplify: Simplify 0 into 0 1545556592.910 * [misc]backup-simplify: Simplify 1 into 1 1545556592.910 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556592.910 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556592.910 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556592.911 * [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))) 1545556592.911 * [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)))) 1545556592.911 * [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 1545556592.911 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.911 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.911 * [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 1545556592.911 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.911 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.911 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.911 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.911 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.911 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.912 * [misc]taylor: Taking taylor expansion of k in n 1545556592.912 * [misc]backup-simplify: Simplify k into k 1545556592.912 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.912 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.912 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.912 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.912 * [misc]backup-simplify: Simplify -2 into -2 1545556592.912 * [misc]taylor: Taking taylor expansion of n in n 1545556592.912 * [misc]backup-simplify: Simplify 0 into 0 1545556592.912 * [misc]backup-simplify: Simplify 1 into 1 1545556592.912 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.912 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.912 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.912 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.913 * [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))) 1545556592.913 * [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)))) 1545556592.914 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.914 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of k in n 1545556592.914 * [misc]backup-simplify: Simplify k into k 1545556592.914 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.914 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.914 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.914 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.914 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.914 * [misc]backup-simplify: Simplify PI into PI 1545556592.914 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.914 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.914 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.915 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556592.915 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.916 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1545556592.916 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545556592.917 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1545556592.917 * [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 1545556592.917 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556592.918 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556592.919 * [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))))) 1545556592.919 * [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 1545556592.919 * [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 1545556592.919 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.919 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.919 * [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 1545556592.920 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.920 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of k in n 1545556592.920 * [misc]backup-simplify: Simplify k into k 1545556592.920 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.920 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.920 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.920 * [misc]backup-simplify: Simplify -2 into -2 1545556592.920 * [misc]taylor: Taking taylor expansion of n in n 1545556592.920 * [misc]backup-simplify: Simplify 0 into 0 1545556592.920 * [misc]backup-simplify: Simplify 1 into 1 1545556592.921 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.921 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.921 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.921 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.922 * [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))) 1545556592.922 * [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)))) 1545556592.922 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of k in n 1545556592.922 * [misc]backup-simplify: Simplify k into k 1545556592.922 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.922 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.922 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.923 * [misc]backup-simplify: Simplify PI into PI 1545556592.923 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.923 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.923 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.923 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556592.924 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.924 * [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))) 1545556592.925 * [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)))) 1545556592.925 * [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))))) 1545556592.926 * [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))))) 1545556592.928 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556592.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.930 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545556592.931 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556592.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556592.934 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556592.934 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556592.934 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.935 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.935 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556592.936 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556592.937 * [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 1545556592.937 * [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 1545556592.937 * [misc]backup-simplify: Simplify 0 into 0 1545556592.938 * [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 1545556592.938 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556592.939 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556592.941 * [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))))) 1545556592.941 * [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 1545556592.941 * [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 1545556592.941 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556592.941 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556592.941 * [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 1545556592.941 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.941 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of k in n 1545556592.941 * [misc]backup-simplify: Simplify k into k 1545556592.941 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.941 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.941 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556592.941 * [misc]taylor: Taking taylor expansion of -2 in n 1545556592.942 * [misc]backup-simplify: Simplify -2 into -2 1545556592.942 * [misc]taylor: Taking taylor expansion of n in n 1545556592.942 * [misc]backup-simplify: Simplify 0 into 0 1545556592.942 * [misc]backup-simplify: Simplify 1 into 1 1545556592.942 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556592.942 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556592.942 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.942 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556592.943 * [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))) 1545556592.943 * [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)))) 1545556592.943 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.943 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556592.943 * [misc]taylor: Taking taylor expansion of k in n 1545556592.943 * [misc]backup-simplify: Simplify k into k 1545556592.944 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556592.944 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556592.944 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.944 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556592.944 * [misc]taylor: Taking taylor expansion of PI in n 1545556592.944 * [misc]backup-simplify: Simplify PI into PI 1545556592.944 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.944 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556592.944 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556592.944 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556592.945 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556592.945 * [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))) 1545556592.946 * [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)))) 1545556592.946 * [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))))) 1545556592.947 * [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))))) 1545556592.949 * [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)))))))) 1545556592.949 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1545556592.950 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556592.950 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1545556592.950 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556592.950 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.950 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.950 * [misc]taylor: Taking taylor expansion of k in k 1545556592.950 * [misc]backup-simplify: Simplify 0 into 0 1545556592.950 * [misc]backup-simplify: Simplify 1 into 1 1545556592.950 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.950 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.950 * [misc]backup-simplify: Simplify PI into PI 1545556592.951 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.951 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556592.951 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556592.951 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.951 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556592.951 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556592.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556592.951 * [misc]taylor: Taking taylor expansion of k in k 1545556592.951 * [misc]backup-simplify: Simplify 0 into 0 1545556592.951 * [misc]backup-simplify: Simplify 1 into 1 1545556592.951 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556592.951 * [misc]taylor: Taking taylor expansion of PI in k 1545556592.951 * [misc]backup-simplify: Simplify PI into PI 1545556592.951 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556592.952 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556592.952 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.952 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556592.952 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.953 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556592.955 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556592.956 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556592.956 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556592.956 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556592.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556592.958 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556592.962 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556592.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556592.962 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.964 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556592.964 * [misc]backup-simplify: Simplify 0 into 0 1545556592.971 * [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 1545556592.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556592.971 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556592.973 * [misc]backup-simplify: Simplify 0 into 0 1545556592.985 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556592.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545556592.986 * [misc]backup-simplify: Simplify (- 0) into 0 1545556592.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556592.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556592.989 * [misc]backup-simplify: Simplify 0 into 0 1545556593.005 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556593.005 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545556593.005 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.005 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556593.008 * [misc]backup-simplify: Simplify 0 into 0 1545556593.031 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556593.032 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545556593.032 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556593.036 * [misc]backup-simplify: Simplify 0 into 0 1545556593.076 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556593.077 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545556593.077 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.082 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556593.082 * [misc]backup-simplify: Simplify 0 into 0 1545556593.084 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556593.085 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556593.085 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1545556593.085 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556593.085 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556593.085 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556593.085 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556593.085 * [misc]taylor: Taking taylor expansion of k in k 1545556593.085 * [misc]backup-simplify: Simplify 0 into 0 1545556593.085 * [misc]backup-simplify: Simplify 1 into 1 1545556593.085 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556593.085 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556593.085 * [misc]taylor: Taking taylor expansion of PI in k 1545556593.085 * [misc]backup-simplify: Simplify PI into PI 1545556593.085 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556593.086 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556593.086 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556593.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556593.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556593.086 * [misc]taylor: Taking taylor expansion of k in k 1545556593.086 * [misc]backup-simplify: Simplify 0 into 0 1545556593.086 * [misc]backup-simplify: Simplify 1 into 1 1545556593.086 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556593.086 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556593.086 * [misc]taylor: Taking taylor expansion of PI in k 1545556593.086 * [misc]backup-simplify: Simplify PI into PI 1545556593.086 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556593.087 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556593.087 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556593.087 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556593.087 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556593.088 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556593.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556593.091 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556593.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545556593.091 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.091 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556593.092 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545556593.092 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556593.094 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556593.095 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545556593.095 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.096 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545556593.096 * [misc]backup-simplify: Simplify 0 into 0 1545556593.100 * [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 1545556593.100 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545556593.100 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.100 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.102 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556593.102 * [misc]backup-simplify: Simplify 0 into 0 1545556593.108 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556593.108 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545556593.109 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.109 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.110 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556593.110 * [misc]backup-simplify: Simplify 0 into 0 1545556593.120 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556593.120 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545556593.121 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.122 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556593.122 * [misc]backup-simplify: Simplify 0 into 0 1545556593.140 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556593.141 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545556593.142 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.146 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556593.146 * [misc]backup-simplify: Simplify 0 into 0 1545556593.186 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556593.187 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545556593.187 * [misc]backup-simplify: Simplify (- 0) into 0 1545556593.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.192 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556593.193 * [misc]backup-simplify: Simplify 0 into 0 1545556593.194 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556593.194 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556593.194 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1545556593.194 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556593.194 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556593.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556593.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556593.194 * [misc]taylor: Taking taylor expansion of k in k 1545556593.194 * [misc]backup-simplify: Simplify 0 into 0 1545556593.194 * [misc]backup-simplify: Simplify 1 into 1 1545556593.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556593.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.195 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556593.195 * [misc]taylor: Taking taylor expansion of PI in k 1545556593.195 * [misc]backup-simplify: Simplify PI into PI 1545556593.195 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556593.195 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556593.195 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556593.195 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556593.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556593.195 * [misc]taylor: Taking taylor expansion of k in k 1545556593.195 * [misc]backup-simplify: Simplify 0 into 0 1545556593.195 * [misc]backup-simplify: Simplify 1 into 1 1545556593.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556593.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556593.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556593.196 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556593.196 * [misc]taylor: Taking taylor expansion of PI in k 1545556593.196 * [misc]backup-simplify: Simplify PI into PI 1545556593.196 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556593.196 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556593.196 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556593.197 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556593.197 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556593.200 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556593.200 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556593.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545556593.200 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545556593.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545556593.202 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556593.206 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556593.206 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.207 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545556593.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545556593.208 * [misc]backup-simplify: Simplify 0 into 0 1545556593.215 * [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 1545556593.216 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545556593.216 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.218 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556593.218 * [misc]backup-simplify: Simplify 0 into 0 1545556593.230 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556593.230 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.231 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545556593.231 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556593.233 * [misc]backup-simplify: Simplify 0 into 0 1545556593.248 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556593.249 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545556593.249 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.252 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556593.253 * [misc]backup-simplify: Simplify 0 into 0 1545556593.280 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556593.281 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.282 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545556593.282 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.286 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556593.286 * [misc]backup-simplify: Simplify 0 into 0 1545556593.325 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556593.325 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556593.325 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545556593.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556593.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556593.329 * [misc]backup-simplify: Simplify 0 into 0 1545556593.330 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556593.330 * * * [misc]progress: simplifying candidates 1545556593.330 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1545556593.330 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556593.330 * * [misc]simplify: iters left: 6 (9 enodes) 1545556593.332 * * [misc]simplify: iters left: 5 (16 enodes) 1545556593.335 * * [misc]simplify: iters left: 4 (32 enodes) 1545556593.341 * * [misc]simplify: iters left: 3 (68 enodes) 1545556593.357 * * [misc]simplify: iters left: 2 (171 enodes) 1545556593.411 * * [misc]simplify: iters left: 1 (342 enodes) 1545556593.539 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556593.539 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556593.539 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1545556593.539 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1545556593.539 * [enter]simplify: Simplifying (* n 2) 1545556593.539 * * [misc]simplify: iters left: 2 (3 enodes) 1545556593.541 * * [misc]simplify: iters left: 1 (4 enodes) 1545556593.542 * [exit]simplify: Simplified to (* n 2) 1545556593.542 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1545556593.542 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1545556593.542 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545556593.542 * * [misc]simplify: iters left: 3 (6 enodes) 1545556593.544 * * [misc]simplify: iters left: 2 (7 enodes) 1545556593.546 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545556593.546 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1545556593.546 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1545556593.546 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556593.546 * * [misc]simplify: iters left: 5 (6 enodes) 1545556593.549 * * [misc]simplify: iters left: 4 (8 enodes) 1545556593.551 * * [misc]simplify: iters left: 3 (11 enodes) 1545556593.554 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556593.554 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log 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)))) 1545556593.554 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1545556593.554 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556593.554 * * [misc]simplify: iters left: 5 (6 enodes) 1545556593.556 * * [misc]simplify: iters left: 4 (8 enodes) 1545556593.559 * * [misc]simplify: iters left: 3 (11 enodes) 1545556593.562 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556593.562 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1545556593.562 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1545556593.562 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556593.562 * * [misc]simplify: iters left: 4 (5 enodes) 1545556593.564 * * [misc]simplify: iters left: 3 (7 enodes) 1545556593.566 * * [misc]simplify: iters left: 2 (10 enodes) 1545556593.568 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556593.569 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1545556593.569 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1545556593.569 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556593.569 * * [misc]simplify: iters left: 5 (7 enodes) 1545556593.571 * * [misc]simplify: iters left: 4 (10 enodes) 1545556593.574 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556593.574 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545556593.574 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1545556593.574 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556593.574 * * [misc]simplify: iters left: 5 (7 enodes) 1545556593.577 * * [misc]simplify: iters left: 4 (10 enodes) 1545556593.579 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556593.580 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1545556593.580 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1545556593.580 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545556593.580 * * [misc]simplify: iters left: 5 (7 enodes) 1545556593.582 * * [misc]simplify: iters left: 4 (9 enodes) 1545556593.585 * * [misc]simplify: iters left: 3 (12 enodes) 1545556593.588 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556593.588 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545556593.588 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1545556593.588 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1545556593.589 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1545556593.589 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1545556593.589 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556593.589 * * [misc]simplify: iters left: 6 (12 enodes) 1545556593.593 * * [misc]simplify: iters left: 5 (21 enodes) 1545556593.601 * * [misc]simplify: iters left: 4 (38 enodes) 1545556593.616 * * [misc]simplify: iters left: 3 (98 enodes) 1545556593.659 * * [misc]simplify: iters left: 2 (325 enodes) 1545556593.791 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556593.791 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556593.792 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1545556593.792 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556593.792 * * [misc]simplify: iters left: 6 (12 enodes) 1545556593.797 * * [misc]simplify: iters left: 5 (21 enodes) 1545556593.803 * * [misc]simplify: iters left: 4 (38 enodes) 1545556593.819 * * [misc]simplify: iters left: 3 (98 enodes) 1545556593.874 * * [misc]simplify: iters left: 2 (325 enodes) 1545556594.026 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556594.026 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556594.026 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1545556594.026 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545556594.026 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.028 * * [misc]simplify: iters left: 5 (19 enodes) 1545556594.031 * * [misc]simplify: iters left: 4 (28 enodes) 1545556594.035 * * [misc]simplify: iters left: 3 (44 enodes) 1545556594.045 * * [misc]simplify: iters left: 2 (124 enodes) 1545556594.116 * * [misc]simplify: iters left: 1 (453 enodes) 1545556594.352 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556594.352 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545556594.352 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1545556594.352 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1545556594.352 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1545556594.353 * [enter]simplify: Simplifying (/ (* (* (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))) 1545556594.353 * * [misc]simplify: iters left: 6 (14 enodes) 1545556594.358 * * [misc]simplify: iters left: 5 (26 enodes) 1545556594.366 * * [misc]simplify: iters left: 4 (57 enodes) 1545556594.384 * * [misc]simplify: iters left: 3 (112 enodes) 1545556594.406 * * [misc]simplify: iters left: 2 (189 enodes) 1545556594.463 * * [misc]simplify: iters left: 1 (316 enodes) 1545556594.603 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1545556594.603 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556594.603 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1545556594.604 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1545556594.604 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1545556594.604 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1545556594.604 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1545556594.604 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.604 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.605 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.607 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545556594.607 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556594.607 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.609 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.610 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556594.610 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545556594.611 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1545556594.611 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545556594.611 * * [misc]simplify: iters left: 5 (9 enodes) 1545556594.612 * * [misc]simplify: iters left: 4 (11 enodes) 1545556594.613 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545556594.613 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545556594.614 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556594.614 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.615 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.617 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556594.617 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545556594.617 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1545556594.617 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545556594.617 * * [misc]simplify: iters left: 5 (7 enodes) 1545556594.618 * * [misc]simplify: iters left: 4 (11 enodes) 1545556594.620 * * [misc]simplify: iters left: 3 (13 enodes) 1545556594.621 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556594.621 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556594.621 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556594.621 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.623 * * [misc]simplify: iters left: 5 (12 enodes) 1545556594.624 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556594.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556594.624 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1545556594.624 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.625 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.626 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.628 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.628 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1545556594.628 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556594.628 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.629 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.631 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556594.631 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1545556594.631 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1545556594.631 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545556594.631 * * [misc]simplify: iters left: 5 (9 enodes) 1545556594.633 * * [misc]simplify: iters left: 4 (11 enodes) 1545556594.634 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545556594.634 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1545556594.634 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556594.634 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.636 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.637 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556594.637 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1545556594.638 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1545556594.638 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545556594.638 * * [misc]simplify: iters left: 5 (7 enodes) 1545556594.639 * * [misc]simplify: iters left: 4 (11 enodes) 1545556594.640 * * [misc]simplify: iters left: 3 (13 enodes) 1545556594.642 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556594.642 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556594.642 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556594.642 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.643 * * [misc]simplify: iters left: 5 (12 enodes) 1545556594.645 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556594.645 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1545556594.645 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1545556594.645 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.645 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.647 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.650 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.656 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.656 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556594.656 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556594.656 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.659 * * [misc]simplify: iters left: 5 (11 enodes) 1545556594.662 * * [misc]simplify: iters left: 4 (14 enodes) 1545556594.668 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556594.668 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556594.668 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1545556594.668 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.669 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.671 * * [misc]simplify: iters left: 5 (12 enodes) 1545556594.673 * * [misc]simplify: iters left: 4 (15 enodes) 1545556594.675 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.675 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556594.675 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.675 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.676 * * [misc]simplify: iters left: 5 (11 enodes) 1545556594.678 * * [misc]simplify: iters left: 4 (14 enodes) 1545556594.680 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.680 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556594.680 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1545556594.680 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545556594.680 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.681 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.683 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.685 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556594.685 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545556594.685 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556594.686 * * [misc]simplify: iters left: 6 (8 enodes) 1545556594.687 * * [misc]simplify: iters left: 5 (10 enodes) 1545556594.688 * * [misc]simplify: iters left: 4 (13 enodes) 1545556594.690 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556594.690 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1545556594.690 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1545556594.690 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.690 * * [misc]simplify: iters left: 6 (14 enodes) 1545556594.693 * * [misc]simplify: iters left: 5 (23 enodes) 1545556594.700 * * [misc]simplify: iters left: 4 (35 enodes) 1545556594.710 * * [misc]simplify: iters left: 3 (38 enodes) 1545556594.720 * * [misc]simplify: iters left: 2 (41 enodes) 1545556594.731 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1545556594.731 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556594.732 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556594.732 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.735 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.740 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.744 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556594.745 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556594.745 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1545556594.745 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545556594.745 * * [misc]simplify: iters left: 6 (13 enodes) 1545556594.749 * * [misc]simplify: iters left: 5 (18 enodes) 1545556594.754 * * [misc]simplify: iters left: 4 (23 enodes) 1545556594.761 * * [misc]simplify: iters left: 3 (24 enodes) 1545556594.768 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556594.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556594.769 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.769 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.772 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.777 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.782 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.782 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556594.782 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1545556594.782 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545556594.783 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.786 * * [misc]simplify: iters left: 5 (19 enodes) 1545556594.792 * * [misc]simplify: iters left: 4 (28 enodes) 1545556594.801 * * [misc]simplify: iters left: 3 (42 enodes) 1545556594.813 * * [misc]simplify: iters left: 2 (68 enodes) 1545556594.831 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556594.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log 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))))) 1545556594.832 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556594.832 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.835 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.839 * * [misc]simplify: iters left: 4 (17 enodes) 1545556594.844 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556594.844 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log 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))))) 1545556594.844 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1545556594.844 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.845 * * [misc]simplify: iters left: 6 (13 enodes) 1545556594.849 * * [misc]simplify: iters left: 5 (18 enodes) 1545556594.854 * * [misc]simplify: iters left: 4 (21 enodes) 1545556594.859 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.860 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556594.860 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556594.860 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.861 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.863 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.866 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556594.866 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1545556594.866 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1545556594.866 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.866 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.868 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.870 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.873 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.873 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556594.873 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.873 * * [misc]simplify: iters left: 6 (12 enodes) 1545556594.875 * * [misc]simplify: iters left: 5 (15 enodes) 1545556594.876 * * [misc]simplify: iters left: 4 (18 enodes) 1545556594.879 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556594.879 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545556594.879 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1545556594.879 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545556594.879 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.881 * * [misc]simplify: iters left: 5 (16 enodes) 1545556594.883 * * [misc]simplify: iters left: 4 (21 enodes) 1545556594.886 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556594.886 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545556594.886 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556594.886 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.887 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.889 * * [misc]simplify: iters left: 4 (17 enodes) 1545556594.892 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556594.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1545556594.892 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1545556594.892 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556594.892 * * [misc]simplify: iters left: 6 (6 enodes) 1545556594.893 * * [misc]simplify: iters left: 5 (10 enodes) 1545556594.894 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545556594.894 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556594.894 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556594.894 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.896 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.898 * * [misc]simplify: iters left: 4 (17 enodes) 1545556594.900 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556594.900 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545556594.900 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1545556594.900 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545556594.900 * * [misc]simplify: iters left: 4 (5 enodes) 1545556594.901 * * [misc]simplify: iters left: 3 (7 enodes) 1545556594.902 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545556594.902 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556594.902 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.902 * * [misc]simplify: iters left: 6 (11 enodes) 1545556594.904 * * [misc]simplify: iters left: 5 (14 enodes) 1545556594.907 * * [misc]simplify: iters left: 4 (17 enodes) 1545556594.909 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556594.909 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545556594.909 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1545556594.909 * [enter]simplify: Simplifying (/ 1 1) 1545556594.909 * * [misc]simplify: iters left: 2 (2 enodes) 1545556594.910 * * [misc]simplify: iters left: 1 (4 enodes) 1545556594.910 * [exit]simplify: Simplified to 1 1545556594.910 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556594.910 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556594.910 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.912 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.913 * * [misc]simplify: iters left: 4 (16 enodes) 1545556594.915 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556594.916 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556594.916 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1545556594.916 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1545556594.916 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1545556594.916 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1545556594.916 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545556594.916 * * [misc]simplify: iters left: 2 (3 enodes) 1545556594.916 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545556594.916 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1545556594.916 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1545556594.916 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545556594.917 * * [misc]simplify: iters left: 2 (3 enodes) 1545556594.917 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545556594.917 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1545556594.917 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1545556594.917 * [enter]simplify: Simplifying (sqrt k) 1545556594.917 * * [misc]simplify: iters left: 1 (2 enodes) 1545556594.917 * [exit]simplify: Simplified to (sqrt k) 1545556594.917 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1545556594.917 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1545556594.918 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556594.918 * * [misc]simplify: iters left: 3 (5 enodes) 1545556594.918 * * [misc]simplify: iters left: 2 (7 enodes) 1545556594.919 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556594.919 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545556594.919 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1545556594.919 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556594.919 * * [misc]simplify: iters left: 3 (5 enodes) 1545556594.920 * * [misc]simplify: iters left: 2 (7 enodes) 1545556594.921 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556594.921 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1545556594.921 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1545556594.921 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545556594.921 * * [misc]simplify: iters left: 5 (7 enodes) 1545556594.922 * * [misc]simplify: iters left: 4 (9 enodes) 1545556594.924 * * [misc]simplify: iters left: 3 (12 enodes) 1545556594.926 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556594.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1545556594.926 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1545556594.926 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556594.926 * * [misc]simplify: iters left: 6 (10 enodes) 1545556594.927 * * [misc]simplify: iters left: 5 (13 enodes) 1545556594.929 * * [misc]simplify: iters left: 4 (16 enodes) 1545556594.931 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545556594.931 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556594.931 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1545556594.932 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556594.932 * * [misc]simplify: iters left: 6 (9 enodes) 1545556594.933 * * [misc]simplify: iters left: 5 (12 enodes) 1545556594.935 * * [misc]simplify: iters left: 4 (15 enodes) 1545556594.937 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556594.937 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556594.937 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1545556594.937 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1545556594.937 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545556594.937 * * [misc]simplify: iters left: 3 (5 enodes) 1545556594.938 * * [misc]simplify: iters left: 2 (7 enodes) 1545556594.939 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545556594.939 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1545556594.939 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1545556594.939 * [enter]simplify: Simplifying (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556594.939 * * [misc]simplify: iters left: 6 (15 enodes) 1545556594.941 * * [misc]simplify: iters left: 5 (25 enodes) 1545556594.945 * * [misc]simplify: iters left: 4 (38 enodes) 1545556594.950 * * [misc]simplify: iters left: 3 (56 enodes) 1545556594.958 * * [misc]simplify: iters left: 2 (109 enodes) 1545556594.974 * * [misc]simplify: iters left: 1 (181 enodes) 1545556595.004 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1545556595.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1)) 1545556595.004 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1545556595.004 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1545556595.004 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556595.005 * * [misc]simplify: iters left: 6 (16 enodes) 1545556595.007 * * [misc]simplify: iters left: 5 (29 enodes) 1545556595.012 * * [misc]simplify: iters left: 4 (60 enodes) 1545556595.027 * * [misc]simplify: iters left: 3 (191 enodes) 1545556595.134 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556595.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556595.134 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1545556595.135 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545556595.135 * * [misc]simplify: iters left: 6 (16 enodes) 1545556595.141 * * [misc]simplify: iters left: 5 (29 enodes) 1545556595.151 * * [misc]simplify: iters left: 4 (60 enodes) 1545556595.184 * * [misc]simplify: iters left: 3 (191 enodes) 1545556595.300 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556595.301 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556595.301 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1545556595.301 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545556595.301 * * [misc]simplify: iters left: 6 (16 enodes) 1545556595.307 * * [misc]simplify: iters left: 5 (27 enodes) 1545556595.319 * * [misc]simplify: iters left: 4 (50 enodes) 1545556595.338 * * [misc]simplify: iters left: 3 (114 enodes) 1545556595.393 * * [misc]simplify: iters left: 2 (426 enodes) 1545556595.929 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556595.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556595.930 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1545556595.930 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556595.930 * * [misc]simplify: iters left: 6 (15 enodes) 1545556595.935 * * [misc]simplify: iters left: 5 (23 enodes) 1545556595.942 * * [misc]simplify: iters left: 4 (40 enodes) 1545556595.958 * * [misc]simplify: iters left: 3 (82 enodes) 1545556595.991 * * [misc]simplify: iters left: 2 (187 enodes) 1545556596.149 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556596.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556596.149 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1545556596.149 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1545556596.149 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1545556596.150 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log 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)))) 1545556596.150 * * [misc]simplify: iters left: 6 (21 enodes) 1545556596.158 * * [misc]simplify: iters left: 5 (45 enodes) 1545556596.174 * * [misc]simplify: iters left: 4 (136 enodes) 1545556596.275 * [exit]simplify: Simplified to (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1545556596.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556596.275 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1545556596.276 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.276 * * [misc]simplify: iters left: 6 (19 enodes) 1545556596.283 * * [misc]simplify: iters left: 5 (41 enodes) 1545556596.299 * * [misc]simplify: iters left: 4 (113 enodes) 1545556596.350 * * [misc]simplify: iters left: 3 (312 enodes) 1545556596.512 * [exit]simplify: Simplified to (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) k) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (* n 2) (- 1/2 (/ k 2))))) 1545556596.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) k) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545556596.512 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1545556596.512 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1545556596.513 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1545556596.513 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1545556596.513 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1545556596.513 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556596.513 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.514 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.516 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.518 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556596.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.518 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1545556596.519 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556596.519 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.520 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.522 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.524 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545556596.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.525 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1545556596.525 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556596.525 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.526 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.528 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556596.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545556596.528 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1545556596.528 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556596.528 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.530 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.531 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556596.531 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545556596.531 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1545556596.532 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556596.532 * * [misc]simplify: iters left: 6 (9 enodes) 1545556596.533 * * [misc]simplify: iters left: 5 (12 enodes) 1545556596.534 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556596.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545556596.534 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1545556596.535 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545556596.535 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.536 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.538 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545556596.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1545556596.538 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1545556596.538 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545556596.538 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.540 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.543 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545556596.543 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1545556596.544 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1545556596.544 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556596.544 * * [misc]simplify: iters left: 6 (9 enodes) 1545556596.547 * * [misc]simplify: iters left: 5 (12 enodes) 1545556596.550 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545556596.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1545556596.550 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1545556596.550 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556596.551 * * [misc]simplify: iters left: 6 (9 enodes) 1545556596.553 * * [misc]simplify: iters left: 5 (11 enodes) 1545556596.560 * * [misc]simplify: iters left: 4 (14 enodes) 1545556596.564 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556596.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545556596.564 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1545556596.565 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556596.565 * * [misc]simplify: iters left: 6 (9 enodes) 1545556596.567 * * [misc]simplify: iters left: 5 (11 enodes) 1545556596.571 * * [misc]simplify: iters left: 4 (14 enodes) 1545556596.575 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556596.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556596.575 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1545556596.575 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556596.575 * * [misc]simplify: iters left: 6 (8 enodes) 1545556596.578 * * [misc]simplify: iters left: 5 (10 enodes) 1545556596.580 * * [misc]simplify: iters left: 4 (13 enodes) 1545556596.582 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545556596.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.582 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1545556596.582 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556596.582 * * [misc]simplify: iters left: 6 (12 enodes) 1545556596.584 * * [misc]simplify: iters left: 5 (15 enodes) 1545556596.586 * * [misc]simplify: iters left: 4 (18 enodes) 1545556596.588 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556596.588 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545556596.588 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1545556596.588 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556596.588 * * [misc]simplify: iters left: 6 (12 enodes) 1545556596.590 * * [misc]simplify: iters left: 5 (15 enodes) 1545556596.592 * * [misc]simplify: iters left: 4 (18 enodes) 1545556596.594 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556596.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545556596.594 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1545556596.595 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556596.595 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.596 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.598 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.600 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556596.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556596.600 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1545556596.601 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556596.601 * * [misc]simplify: iters left: 6 (12 enodes) 1545556596.602 * * [misc]simplify: iters left: 5 (15 enodes) 1545556596.604 * * [misc]simplify: iters left: 4 (18 enodes) 1545556596.607 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545556596.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1545556596.607 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1545556596.607 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556596.607 * * [misc]simplify: iters left: 6 (12 enodes) 1545556596.610 * * [misc]simplify: iters left: 5 (15 enodes) 1545556596.615 * * [misc]simplify: iters left: 4 (18 enodes) 1545556596.620 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556596.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1545556596.620 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1545556596.620 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556596.620 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.624 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.628 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.632 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545556596.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1545556596.632 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1545556596.632 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556596.633 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.635 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.639 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.643 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556596.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1545556596.643 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1545556596.644 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556596.644 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.647 * * [misc]simplify: iters left: 5 (14 enodes) 1545556596.650 * * [misc]simplify: iters left: 4 (17 enodes) 1545556596.654 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556596.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545556596.655 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1545556596.655 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556596.655 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.658 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.662 * * [misc]simplify: iters left: 4 (16 enodes) 1545556596.667 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556596.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.667 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1545556596.667 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556596.668 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.671 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.675 * * [misc]simplify: iters left: 4 (16 enodes) 1545556596.681 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556596.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.681 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1545556596.681 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545556596.681 * * [misc]simplify: iters left: 3 (4 enodes) 1545556596.682 * * [misc]simplify: iters left: 2 (6 enodes) 1545556596.684 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545556596.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1545556596.684 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1545556596.684 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545556596.685 * * [misc]simplify: iters left: 4 (5 enodes) 1545556596.686 * * [misc]simplify: iters left: 3 (9 enodes) 1545556596.689 * * [misc]simplify: iters left: 2 (11 enodes) 1545556596.692 * * [misc]simplify: iters left: 1 (13 enodes) 1545556596.695 * [exit]simplify: Simplified to (sqrt PI) 1545556596.695 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.695 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1545556596.695 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545556596.695 * * [misc]simplify: iters left: 4 (5 enodes) 1545556596.697 * * [misc]simplify: iters left: 3 (9 enodes) 1545556596.699 * * [misc]simplify: iters left: 2 (11 enodes) 1545556596.702 * * [misc]simplify: iters left: 1 (13 enodes) 1545556596.705 * [exit]simplify: Simplified to (sqrt PI) 1545556596.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.705 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1545556596.705 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545556596.706 * * [misc]simplify: iters left: 4 (5 enodes) 1545556596.708 * * [misc]simplify: iters left: 3 (8 enodes) 1545556596.710 * * [misc]simplify: iters left: 2 (9 enodes) 1545556596.713 * * [misc]simplify: iters left: 1 (12 enodes) 1545556596.717 * [exit]simplify: Simplified to (sqrt PI) 1545556596.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.717 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1545556596.717 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545556596.717 * * [misc]simplify: iters left: 4 (5 enodes) 1545556596.719 * * [misc]simplify: iters left: 3 (8 enodes) 1545556596.721 * * [misc]simplify: iters left: 2 (9 enodes) 1545556596.722 * * [misc]simplify: iters left: 1 (12 enodes) 1545556596.724 * [exit]simplify: Simplified to (sqrt PI) 1545556596.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.724 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1545556596.724 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1545556596.724 * * [misc]simplify: iters left: 6 (11 enodes) 1545556596.726 * * [misc]simplify: iters left: 5 (17 enodes) 1545556596.728 * * [misc]simplify: iters left: 4 (26 enodes) 1545556596.732 * * [misc]simplify: iters left: 3 (42 enodes) 1545556596.739 * * [misc]simplify: iters left: 2 (81 enodes) 1545556596.751 * * [misc]simplify: iters left: 1 (119 enodes) 1545556596.777 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545556596.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.777 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1545556596.777 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1545556596.777 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.780 * * [misc]simplify: iters left: 5 (16 enodes) 1545556596.785 * * [misc]simplify: iters left: 4 (25 enodes) 1545556596.792 * * [misc]simplify: iters left: 3 (41 enodes) 1545556596.804 * * [misc]simplify: iters left: 2 (80 enodes) 1545556596.829 * * [misc]simplify: iters left: 1 (118 enodes) 1545556596.844 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545556596.845 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545556596.845 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1545556596.845 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1545556596.845 * [enter]simplify: Simplifying (sqrt k) 1545556596.845 * * [misc]simplify: iters left: 1 (2 enodes) 1545556596.845 * [exit]simplify: Simplified to (sqrt k) 1545556596.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556596.845 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1545556596.845 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1545556596.845 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1545556596.845 * * [misc]simplify: iters left: 6 (8 enodes) 1545556596.847 * * [misc]simplify: iters left: 5 (11 enodes) 1545556596.848 * * [misc]simplify: iters left: 4 (20 enodes) 1545556596.851 * * [misc]simplify: iters left: 3 (30 enodes) 1545556596.856 * * [misc]simplify: iters left: 2 (45 enodes) 1545556596.862 * * [misc]simplify: iters left: 1 (53 enodes) 1545556596.868 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1545556596.868 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.868 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1545556596.868 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1545556596.868 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1545556596.868 * * [misc]simplify: iters left: 6 (10 enodes) 1545556596.870 * * [misc]simplify: iters left: 5 (13 enodes) 1545556596.871 * * [misc]simplify: iters left: 4 (16 enodes) 1545556596.873 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1545556596.873 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556596.873 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1545556596.873 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1545556596.873 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1545556596.874 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1545556596.874 * * [misc]simplify: iters left: 6 (12 enodes) 1545556596.876 * * [misc]simplify: iters left: 5 (21 enodes) 1545556596.880 * * [misc]simplify: iters left: 4 (67 enodes) 1545556596.918 * * [misc]simplify: iters left: 3 (321 enodes) 1545556597.324 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1545556597.324 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.324 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1545556597.324 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1545556597.325 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1545556597.325 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1545556597.325 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1545556597.325 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545556597.325 * * [misc]simplify: iters left: 6 (7 enodes) 1545556597.327 * * [misc]simplify: iters left: 5 (12 enodes) 1545556597.331 * * [misc]simplify: iters left: 4 (22 enodes) 1545556597.338 * * [misc]simplify: iters left: 3 (35 enodes) 1545556597.347 * * [misc]simplify: iters left: 2 (42 enodes) 1545556597.358 * * [misc]simplify: iters left: 1 (47 enodes) 1545556597.370 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545556597.370 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.370 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1545556597.371 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545556597.371 * * [misc]simplify: iters left: 6 (7 enodes) 1545556597.373 * * [misc]simplify: iters left: 5 (12 enodes) 1545556597.377 * * [misc]simplify: iters left: 4 (22 enodes) 1545556597.383 * * [misc]simplify: iters left: 3 (35 enodes) 1545556597.392 * * [misc]simplify: iters left: 2 (42 enodes) 1545556597.402 * * [misc]simplify: iters left: 1 (47 enodes) 1545556597.414 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545556597.414 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.414 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1545556597.414 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545556597.415 * * [misc]simplify: iters left: 6 (7 enodes) 1545556597.417 * * [misc]simplify: iters left: 5 (12 enodes) 1545556597.420 * * [misc]simplify: iters left: 4 (22 enodes) 1545556597.427 * * [misc]simplify: iters left: 3 (32 enodes) 1545556597.434 * * [misc]simplify: iters left: 2 (36 enodes) 1545556597.443 * * [misc]simplify: iters left: 1 (43 enodes) 1545556597.455 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545556597.456 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.456 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1545556597.456 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545556597.456 * * [misc]simplify: iters left: 6 (7 enodes) 1545556597.458 * * [misc]simplify: iters left: 5 (12 enodes) 1545556597.462 * * [misc]simplify: iters left: 4 (22 enodes) 1545556597.469 * * [misc]simplify: iters left: 3 (32 enodes) 1545556597.476 * * [misc]simplify: iters left: 2 (36 enodes) 1545556597.485 * * [misc]simplify: iters left: 1 (43 enodes) 1545556597.497 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545556597.497 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.498 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1545556597.498 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556597.498 * * [misc]simplify: iters left: 5 (6 enodes) 1545556597.500 * * [misc]simplify: iters left: 4 (8 enodes) 1545556597.503 * * [misc]simplify: iters left: 3 (11 enodes) 1545556597.506 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556597.506 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.506 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1545556597.506 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556597.507 * * [misc]simplify: iters left: 5 (6 enodes) 1545556597.509 * * [misc]simplify: iters left: 4 (8 enodes) 1545556597.512 * * [misc]simplify: iters left: 3 (11 enodes) 1545556597.515 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556597.515 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.516 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1545556597.516 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556597.516 * * [misc]simplify: iters left: 4 (5 enodes) 1545556597.518 * * [misc]simplify: iters left: 3 (7 enodes) 1545556597.520 * * [misc]simplify: iters left: 2 (10 enodes) 1545556597.523 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556597.523 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.523 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1545556597.524 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1545556597.524 * * [misc]simplify: iters left: 4 (4 enodes) 1545556597.525 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1545556597.525 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.525 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1545556597.525 * [enter]simplify: Simplifying (sqrt (log PI)) 1545556597.525 * * [misc]simplify: iters left: 2 (3 enodes) 1545556597.526 * [exit]simplify: Simplified to (sqrt (log PI)) 1545556597.526 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.526 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1545556597.526 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1545556597.527 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1545556597.527 * * [misc]simplify: iters left: 6 (9 enodes) 1545556597.531 * * [misc]simplify: iters left: 5 (23 enodes) 1545556597.535 * * [misc]simplify: iters left: 4 (47 enodes) 1545556597.542 * * [misc]simplify: iters left: 3 (69 enodes) 1545556597.551 * * [misc]simplify: iters left: 2 (82 enodes) 1545556597.560 * * [misc]simplify: iters left: 1 (105 enodes) 1545556597.578 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1545556597.578 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.578 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1545556597.578 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1545556597.578 * * [misc]simplify: iters left: 4 (5 enodes) 1545556597.579 * * [misc]simplify: iters left: 3 (6 enodes) 1545556597.581 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1545556597.581 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556597.581 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1545556597.581 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1545556597.581 * [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))))) 1545556597.582 * * [misc]simplify: iters left: 6 (35 enodes) 1545556597.596 * * [misc]simplify: iters left: 5 (99 enodes) 1545556597.637 * * [misc]simplify: iters left: 4 (298 enodes) 1545556597.805 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545556597.805 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) (sqrt k)))) 1545556597.805 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1545556597.806 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545556597.806 * * [misc]simplify: iters left: 6 (13 enodes) 1545556597.811 * * [misc]simplify: iters left: 5 (27 enodes) 1545556597.820 * * [misc]simplify: iters left: 4 (53 enodes) 1545556597.838 * * [misc]simplify: iters left: 3 (116 enodes) 1545556597.888 * * [misc]simplify: iters left: 2 (362 enodes) 1545556598.102 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545556598.102 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (sqrt (* n 2)) (- 1 k)) (sqrt k)))) 1545556598.102 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1545556598.103 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545556598.103 * * [misc]simplify: iters left: 6 (13 enodes) 1545556598.105 * * [misc]simplify: iters left: 5 (24 enodes) 1545556598.110 * * [misc]simplify: iters left: 4 (54 enodes) 1545556598.123 * * [misc]simplify: iters left: 3 (143 enodes) 1545556598.217 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545556598.217 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (sqrt k)))) 1545556598.217 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1545556598.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1545556598.217 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545556598.217 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1545556598.217 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545556598.217 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545556598.218 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1545556598.218 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1545556598.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1545556598.218 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1545556598.218 * [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))))))))))))))) 1545556598.218 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556598.218 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1545556598.218 * [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)))))))) 1545556598.218 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556598.218 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1545556598.218 * [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)))))))) 1545556598.218 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556598.218 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1545556598.218 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556598.219 * * [misc]simplify: iters left: 6 (8 enodes) 1545556598.220 * * [misc]simplify: iters left: 5 (16 enodes) 1545556598.223 * * [misc]simplify: iters left: 4 (36 enodes) 1545556598.229 * * [misc]simplify: iters left: 3 (60 enodes) 1545556598.238 * * [misc]simplify: iters left: 2 (72 enodes) 1545556598.246 * * [misc]simplify: iters left: 1 (87 enodes) 1545556598.266 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556598.266 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556598.266 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1545556598.266 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556598.266 * * [misc]simplify: iters left: 6 (8 enodes) 1545556598.268 * * [misc]simplify: iters left: 5 (16 enodes) 1545556598.271 * * [misc]simplify: iters left: 4 (36 enodes) 1545556598.277 * * [misc]simplify: iters left: 3 (60 enodes) 1545556598.286 * * [misc]simplify: iters left: 2 (72 enodes) 1545556598.303 * * [misc]simplify: iters left: 1 (87 enodes) 1545556598.336 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556598.337 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556598.337 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1545556598.337 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556598.337 * * [misc]simplify: iters left: 6 (8 enodes) 1545556598.340 * * [misc]simplify: iters left: 5 (16 enodes) 1545556598.346 * * [misc]simplify: iters left: 4 (36 enodes) 1545556598.358 * * [misc]simplify: iters left: 3 (60 enodes) 1545556598.379 * * [misc]simplify: iters left: 2 (72 enodes) 1545556598.390 * * [misc]simplify: iters left: 1 (87 enodes) 1545556598.406 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556598.406 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556598.407 * * * [misc]progress: adding candidates to table 1545556600.636 * * [misc]progress: iteration 4 / 4 1545556600.636 * * * [misc]progress: picking best candidate 1545556600.668 * * * * [misc]pick: Picked # 1545556600.668 * * * [misc]progress: localizing error 1545556600.674 * * * [misc]progress: generating rewritten candidates 1545556600.674 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1545556600.675 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1545556600.686 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1545556600.696 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) 1545556600.701 * * * [misc]progress: generating series expansions 1545556600.701 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1545556600.701 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545556600.701 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545556600.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.701 * [misc]taylor: Taking taylor expansion of k in k 1545556600.701 * [misc]backup-simplify: Simplify 0 into 0 1545556600.701 * [misc]backup-simplify: Simplify 1 into 1 1545556600.701 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556600.701 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.701 * [misc]backup-simplify: Simplify 2 into 2 1545556600.701 * [misc]taylor: Taking taylor expansion of n in k 1545556600.701 * [misc]backup-simplify: Simplify n into n 1545556600.701 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556600.702 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556600.702 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.702 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.702 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.702 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556600.702 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556600.702 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.702 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.702 * [misc]taylor: Taking taylor expansion of k in n 1545556600.702 * [misc]backup-simplify: Simplify k into k 1545556600.702 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.702 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.702 * [misc]backup-simplify: Simplify 2 into 2 1545556600.702 * [misc]taylor: Taking taylor expansion of n in n 1545556600.702 * [misc]backup-simplify: Simplify 0 into 0 1545556600.702 * [misc]backup-simplify: Simplify 1 into 1 1545556600.703 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.703 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.703 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.703 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556600.703 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556600.703 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556600.703 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.704 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556600.704 * [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)))) 1545556600.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.704 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.704 * [misc]taylor: Taking taylor expansion of k in n 1545556600.704 * [misc]backup-simplify: Simplify k into k 1545556600.704 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.704 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.704 * [misc]backup-simplify: Simplify 2 into 2 1545556600.704 * [misc]taylor: Taking taylor expansion of n in n 1545556600.704 * [misc]backup-simplify: Simplify 0 into 0 1545556600.704 * [misc]backup-simplify: Simplify 1 into 1 1545556600.704 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.704 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.704 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.704 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556600.704 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556600.705 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556600.705 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.705 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556600.705 * [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)))) 1545556600.705 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545556600.705 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545556600.705 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545556600.705 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556600.705 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.705 * [misc]backup-simplify: Simplify 2 into 2 1545556600.705 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.705 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556600.705 * [misc]taylor: Taking taylor expansion of n in k 1545556600.705 * [misc]backup-simplify: Simplify n into n 1545556600.705 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556600.705 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.706 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.706 * [misc]taylor: Taking taylor expansion of k in k 1545556600.706 * [misc]backup-simplify: Simplify 0 into 0 1545556600.706 * [misc]backup-simplify: Simplify 1 into 1 1545556600.706 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545556600.706 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.706 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.706 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.706 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545556600.706 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556600.706 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545556600.707 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556600.708 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556600.708 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545556600.708 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.709 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.709 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556600.710 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556600.710 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.710 * [misc]backup-simplify: Simplify 0 into 0 1545556600.710 * [misc]backup-simplify: Simplify 0 into 0 1545556600.710 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556600.710 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.710 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.712 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556600.712 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545556600.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.712 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545556600.713 * [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))))) 1545556600.713 * [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))))) 1545556600.714 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556600.719 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556600.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545556600.719 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.719 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.720 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545556600.722 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556600.722 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.722 * [misc]backup-simplify: Simplify 0 into 0 1545556600.722 * [misc]backup-simplify: Simplify 0 into 0 1545556600.722 * [misc]backup-simplify: Simplify 0 into 0 1545556600.722 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556600.723 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.723 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.727 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556600.728 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545556600.729 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.729 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545556600.731 * [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))))) 1545556600.732 * [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))))) 1545556600.735 * [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))))) 1545556600.735 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.735 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545556600.735 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556600.735 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556600.735 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556600.735 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.735 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.736 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.736 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.736 * [misc]taylor: Taking taylor expansion of k in k 1545556600.736 * [misc]backup-simplify: Simplify 0 into 0 1545556600.736 * [misc]backup-simplify: Simplify 1 into 1 1545556600.736 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.736 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556600.736 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556600.736 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.736 * [misc]backup-simplify: Simplify 2 into 2 1545556600.736 * [misc]taylor: Taking taylor expansion of n in k 1545556600.736 * [misc]backup-simplify: Simplify n into n 1545556600.736 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556600.736 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556600.736 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.737 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.737 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.737 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556600.737 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.737 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.737 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.737 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of k in n 1545556600.737 * [misc]backup-simplify: Simplify k into k 1545556600.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.737 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.737 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.737 * [misc]backup-simplify: Simplify 2 into 2 1545556600.738 * [misc]taylor: Taking taylor expansion of n in n 1545556600.738 * [misc]backup-simplify: Simplify 0 into 0 1545556600.738 * [misc]backup-simplify: Simplify 1 into 1 1545556600.738 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.738 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.738 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.738 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.738 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.739 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.739 * [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))) 1545556600.739 * [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)))) 1545556600.739 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.739 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.739 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.739 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.739 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.739 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.739 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.740 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.740 * [misc]taylor: Taking taylor expansion of k in n 1545556600.740 * [misc]backup-simplify: Simplify k into k 1545556600.740 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.740 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.740 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.740 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.740 * [misc]backup-simplify: Simplify 2 into 2 1545556600.740 * [misc]taylor: Taking taylor expansion of n in n 1545556600.740 * [misc]backup-simplify: Simplify 0 into 0 1545556600.740 * [misc]backup-simplify: Simplify 1 into 1 1545556600.740 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.740 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.740 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.740 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.740 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.741 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.741 * [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))) 1545556600.741 * [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)))) 1545556600.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.742 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.742 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of k in k 1545556600.742 * [misc]backup-simplify: Simplify 0 into 0 1545556600.742 * [misc]backup-simplify: Simplify 1 into 1 1545556600.742 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.742 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.742 * [misc]backup-simplify: Simplify 2 into 2 1545556600.742 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.742 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556600.742 * [misc]taylor: Taking taylor expansion of n in k 1545556600.742 * [misc]backup-simplify: Simplify n into n 1545556600.742 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556600.743 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.743 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.743 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.743 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556600.743 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545556600.743 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545556600.744 * [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)))) 1545556600.744 * [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)))) 1545556600.744 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556600.747 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556600.747 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556600.747 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556600.747 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.747 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.748 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556600.749 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556600.749 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.749 * [misc]backup-simplify: Simplify 0 into 0 1545556600.749 * [misc]backup-simplify: Simplify 0 into 0 1545556600.749 * [misc]backup-simplify: Simplify 0 into 0 1545556600.749 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556600.751 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556600.752 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556600.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556600.752 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.752 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556600.754 * [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 1545556600.754 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.754 * [misc]backup-simplify: Simplify 0 into 0 1545556600.754 * [misc]backup-simplify: Simplify 0 into 0 1545556600.754 * [misc]backup-simplify: Simplify 0 into 0 1545556600.754 * [misc]backup-simplify: Simplify 0 into 0 1545556600.754 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556600.758 * [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 1545556600.758 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556600.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556600.759 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.760 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545556600.762 * [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 1545556600.762 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.762 * [misc]backup-simplify: Simplify 0 into 0 1545556600.762 * [misc]backup-simplify: Simplify 0 into 0 1545556600.762 * [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)))) 1545556600.762 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.762 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545556600.762 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.762 * [misc]taylor: Taking taylor expansion of k in k 1545556600.762 * [misc]backup-simplify: Simplify 0 into 0 1545556600.762 * [misc]backup-simplify: Simplify 1 into 1 1545556600.763 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.763 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.763 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556600.763 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556600.763 * [misc]taylor: Taking taylor expansion of -2 in k 1545556600.763 * [misc]backup-simplify: Simplify -2 into -2 1545556600.763 * [misc]taylor: Taking taylor expansion of n in k 1545556600.763 * [misc]backup-simplify: Simplify n into n 1545556600.763 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556600.763 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556600.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.763 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.763 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556600.763 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.763 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.763 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of k in n 1545556600.763 * [misc]backup-simplify: Simplify k into k 1545556600.763 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.763 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556600.763 * [misc]taylor: Taking taylor expansion of -2 in n 1545556600.764 * [misc]backup-simplify: Simplify -2 into -2 1545556600.764 * [misc]taylor: Taking taylor expansion of n in n 1545556600.764 * [misc]backup-simplify: Simplify 0 into 0 1545556600.764 * [misc]backup-simplify: Simplify 1 into 1 1545556600.764 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556600.764 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556600.764 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.764 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556600.764 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.764 * [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))) 1545556600.765 * [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)))) 1545556600.765 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.765 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of k in n 1545556600.765 * [misc]backup-simplify: Simplify k into k 1545556600.765 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.765 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.765 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556600.765 * [misc]taylor: Taking taylor expansion of -2 in n 1545556600.765 * [misc]backup-simplify: Simplify -2 into -2 1545556600.765 * [misc]taylor: Taking taylor expansion of n in n 1545556600.765 * [misc]backup-simplify: Simplify 0 into 0 1545556600.765 * [misc]backup-simplify: Simplify 1 into 1 1545556600.765 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556600.765 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556600.765 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.765 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556600.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.766 * [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))) 1545556600.766 * [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)))) 1545556600.766 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of k in k 1545556600.766 * [misc]backup-simplify: Simplify 0 into 0 1545556600.766 * [misc]backup-simplify: Simplify 1 into 1 1545556600.766 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.766 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of -2 in k 1545556600.766 * [misc]backup-simplify: Simplify -2 into -2 1545556600.766 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556600.766 * [misc]taylor: Taking taylor expansion of (log n) in k 1545556600.766 * [misc]taylor: Taking taylor expansion of n in k 1545556600.766 * [misc]backup-simplify: Simplify n into n 1545556600.767 * [misc]backup-simplify: Simplify (log n) into (log n) 1545556600.767 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.767 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.767 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545556600.767 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545556600.767 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545556600.767 * [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)))) 1545556600.767 * [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)))) 1545556600.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556600.769 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556600.769 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556600.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556600.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.770 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.770 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556600.771 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556600.771 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.771 * [misc]backup-simplify: Simplify 0 into 0 1545556600.771 * [misc]backup-simplify: Simplify 0 into 0 1545556600.771 * [misc]backup-simplify: Simplify 0 into 0 1545556600.771 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556600.774 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556600.774 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556600.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556600.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.775 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556600.776 * [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 1545556600.776 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.776 * [misc]backup-simplify: Simplify 0 into 0 1545556600.776 * [misc]backup-simplify: Simplify 0 into 0 1545556600.776 * [misc]backup-simplify: Simplify 0 into 0 1545556600.776 * [misc]backup-simplify: Simplify 0 into 0 1545556600.776 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556600.780 * [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 1545556600.780 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556600.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545556600.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.782 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545556600.784 * [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 1545556600.784 * [misc]taylor: Taking taylor expansion of 0 in k 1545556600.784 * [misc]backup-simplify: Simplify 0 into 0 1545556600.784 * [misc]backup-simplify: Simplify 0 into 0 1545556600.784 * [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))))) 1545556600.784 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1545556600.785 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 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))) 1545556600.785 * [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 1545556600.785 * [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 1545556600.785 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.785 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.785 * [misc]taylor: Taking taylor expansion of k in n 1545556600.785 * [misc]backup-simplify: Simplify k into k 1545556600.785 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.785 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.785 * [misc]backup-simplify: Simplify 2 into 2 1545556600.785 * [misc]taylor: Taking taylor expansion of n in n 1545556600.785 * [misc]backup-simplify: Simplify 0 into 0 1545556600.785 * [misc]backup-simplify: Simplify 1 into 1 1545556600.785 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.785 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.786 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.786 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556600.786 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556600.786 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556600.786 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.786 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556600.786 * [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)))) 1545556600.786 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545556600.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545556600.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545556600.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556600.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.786 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556600.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.786 * [misc]taylor: Taking taylor expansion of k in n 1545556600.786 * [misc]backup-simplify: Simplify k into k 1545556600.786 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.787 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.787 * [misc]backup-simplify: Simplify PI into PI 1545556600.787 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.787 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556600.787 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556600.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556600.787 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556600.787 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545556600.787 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545556600.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.787 * [misc]taylor: Taking taylor expansion of k in n 1545556600.787 * [misc]backup-simplify: Simplify k into k 1545556600.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.787 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545556600.788 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556600.788 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545556600.788 * [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 1545556600.788 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.788 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.788 * [misc]taylor: Taking taylor expansion of k in k 1545556600.788 * [misc]backup-simplify: Simplify 0 into 0 1545556600.788 * [misc]backup-simplify: Simplify 1 into 1 1545556600.788 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.788 * [misc]backup-simplify: Simplify 2 into 2 1545556600.788 * [misc]taylor: Taking taylor expansion of n in k 1545556600.788 * [misc]backup-simplify: Simplify n into n 1545556600.788 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556600.788 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556600.788 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.788 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.788 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.788 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556600.788 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556600.788 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556600.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556600.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556600.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.789 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.789 * [misc]taylor: Taking taylor expansion of k in k 1545556600.789 * [misc]backup-simplify: Simplify 0 into 0 1545556600.789 * [misc]backup-simplify: Simplify 1 into 1 1545556600.789 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.789 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.789 * [misc]backup-simplify: Simplify PI into PI 1545556600.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.789 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.789 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.789 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.790 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556600.790 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556600.790 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556600.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.790 * [misc]taylor: Taking taylor expansion of k in k 1545556600.790 * [misc]backup-simplify: Simplify 0 into 0 1545556600.790 * [misc]backup-simplify: Simplify 1 into 1 1545556600.790 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.790 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.791 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556600.791 * [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 1545556600.791 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.791 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.791 * [misc]taylor: Taking taylor expansion of k in k 1545556600.791 * [misc]backup-simplify: Simplify 0 into 0 1545556600.791 * [misc]backup-simplify: Simplify 1 into 1 1545556600.791 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.791 * [misc]backup-simplify: Simplify 2 into 2 1545556600.791 * [misc]taylor: Taking taylor expansion of n in k 1545556600.791 * [misc]backup-simplify: Simplify n into n 1545556600.791 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556600.791 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556600.791 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.791 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.791 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.791 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556600.791 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556600.791 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556600.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556600.792 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556600.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556600.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.792 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556600.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.792 * [misc]taylor: Taking taylor expansion of k in k 1545556600.792 * [misc]backup-simplify: Simplify 0 into 0 1545556600.792 * [misc]backup-simplify: Simplify 1 into 1 1545556600.792 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.792 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.792 * [misc]backup-simplify: Simplify PI into PI 1545556600.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.792 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556600.792 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.792 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.792 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556600.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556600.793 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545556600.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.793 * [misc]taylor: Taking taylor expansion of k in k 1545556600.793 * [misc]backup-simplify: Simplify 0 into 0 1545556600.793 * [misc]backup-simplify: Simplify 1 into 1 1545556600.793 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.793 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.794 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556600.794 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545556600.794 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545556600.794 * [misc]taylor: Taking taylor expansion of 0 in n 1545556600.794 * [misc]backup-simplify: Simplify 0 into 0 1545556600.794 * [misc]backup-simplify: Simplify 0 into 0 1545556600.795 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556600.796 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556600.796 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.796 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556600.798 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556600.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545556600.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545556600.799 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556600.799 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.799 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545556600.800 * [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)))) 1545556600.801 * [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)))))) 1545556600.801 * [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))))) 1545556600.801 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.802 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.802 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.802 * [misc]backup-simplify: Simplify 2 into 2 1545556600.802 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.802 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.802 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556600.802 * [misc]taylor: Taking taylor expansion of n in n 1545556600.802 * [misc]backup-simplify: Simplify 0 into 0 1545556600.802 * [misc]backup-simplify: Simplify 1 into 1 1545556600.802 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.802 * [misc]backup-simplify: Simplify PI into PI 1545556600.802 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556600.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556600.803 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.803 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.803 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556600.803 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.804 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.804 * [misc]backup-simplify: Simplify 0 into 0 1545556600.804 * [misc]backup-simplify: Simplify 0 into 0 1545556600.804 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556600.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556600.807 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556600.807 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556600.807 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.808 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556600.811 * [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))) 1545556600.812 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545556600.813 * [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 1545556600.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556600.813 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.813 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545556600.814 * [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))) 1545556600.816 * [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))))))) 1545556600.818 * [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))))))))) 1545556600.818 * [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 1545556600.818 * [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 1545556600.818 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556600.818 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.818 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.818 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556600.818 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556600.818 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.818 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.818 * [misc]backup-simplify: Simplify 2 into 2 1545556600.819 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.819 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.819 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.819 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.819 * [misc]backup-simplify: Simplify PI into PI 1545556600.819 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.819 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.819 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.819 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.819 * [misc]backup-simplify: Simplify PI into PI 1545556600.819 * [misc]taylor: Taking taylor expansion of n in n 1545556600.819 * [misc]backup-simplify: Simplify 0 into 0 1545556600.819 * [misc]backup-simplify: Simplify 1 into 1 1545556600.819 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.820 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.820 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.820 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.820 * [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 1545556600.821 * [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 1545556600.821 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556600.821 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.821 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.821 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556600.821 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.821 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.821 * [misc]backup-simplify: Simplify 2 into 2 1545556600.821 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.821 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.821 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556600.821 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556600.821 * [misc]taylor: Taking taylor expansion of n in n 1545556600.821 * [misc]backup-simplify: Simplify 0 into 0 1545556600.821 * [misc]backup-simplify: Simplify 1 into 1 1545556600.821 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.821 * [misc]backup-simplify: Simplify PI into PI 1545556600.822 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556600.822 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556600.822 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.823 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.823 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556600.823 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556600.823 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.823 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.823 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556600.823 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556600.823 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.823 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.823 * [misc]backup-simplify: Simplify 2 into 2 1545556600.823 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.824 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.824 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.824 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.824 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.824 * [misc]backup-simplify: Simplify 2 into 2 1545556600.824 * [misc]taylor: Taking taylor expansion of n in n 1545556600.824 * [misc]backup-simplify: Simplify 0 into 0 1545556600.824 * [misc]backup-simplify: Simplify 1 into 1 1545556600.824 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.824 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.825 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.825 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.825 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.825 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.825 * [misc]backup-simplify: Simplify PI into PI 1545556600.825 * [misc]taylor: Taking taylor expansion of n in n 1545556600.825 * [misc]backup-simplify: Simplify 0 into 0 1545556600.825 * [misc]backup-simplify: Simplify 1 into 1 1545556600.825 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.826 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.826 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.826 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.827 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556600.828 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556600.828 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.829 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556600.829 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.830 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556600.830 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556600.830 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.830 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.830 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.831 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.831 * [misc]backup-simplify: Simplify 0 into 0 1545556600.832 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.834 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.835 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.836 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.836 * [misc]backup-simplify: Simplify 0 into 0 1545556600.837 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556600.839 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556600.846 * [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 1545556600.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556600.847 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556600.855 * [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))) 1545556600.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545556600.858 * [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 1545556600.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556600.859 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.859 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545556600.861 * [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))) 1545556600.867 * [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))))))))) 1545556600.876 * [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))))))))))))))) 1545556600.877 * [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 1545556600.877 * [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 1545556600.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556600.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.877 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556600.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556600.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.877 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.877 * [misc]backup-simplify: Simplify 2 into 2 1545556600.877 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.878 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.878 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.878 * [misc]backup-simplify: Simplify PI into PI 1545556600.878 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.878 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.878 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.878 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.878 * [misc]backup-simplify: Simplify PI into PI 1545556600.878 * [misc]taylor: Taking taylor expansion of n in n 1545556600.878 * [misc]backup-simplify: Simplify 0 into 0 1545556600.878 * [misc]backup-simplify: Simplify 1 into 1 1545556600.878 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.879 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.879 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.880 * [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 1545556600.880 * [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 1545556600.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.880 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.880 * [misc]backup-simplify: Simplify 2 into 2 1545556600.880 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.880 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.880 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.880 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.880 * [misc]backup-simplify: Simplify PI into PI 1545556600.881 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.881 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.881 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.881 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.881 * [misc]backup-simplify: Simplify PI into PI 1545556600.881 * [misc]taylor: Taking taylor expansion of n in n 1545556600.881 * [misc]backup-simplify: Simplify 0 into 0 1545556600.881 * [misc]backup-simplify: Simplify 1 into 1 1545556600.881 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.882 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.882 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.882 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.882 * [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 1545556600.882 * [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 1545556600.882 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545556600.882 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.882 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.882 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545556600.882 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545556600.883 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.883 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.883 * [misc]backup-simplify: Simplify 2 into 2 1545556600.883 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.883 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.883 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545556600.883 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.883 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.883 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.883 * [misc]backup-simplify: Simplify 2 into 2 1545556600.883 * [misc]taylor: Taking taylor expansion of n in n 1545556600.883 * [misc]backup-simplify: Simplify 0 into 0 1545556600.883 * [misc]backup-simplify: Simplify 1 into 1 1545556600.883 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.884 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.884 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.884 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.884 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.884 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.884 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.884 * [misc]backup-simplify: Simplify PI into PI 1545556600.884 * [misc]taylor: Taking taylor expansion of n in n 1545556600.884 * [misc]backup-simplify: Simplify 0 into 0 1545556600.884 * [misc]backup-simplify: Simplify 1 into 1 1545556600.885 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.885 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.885 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.886 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.886 * [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 1545556600.886 * [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 1545556600.886 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545556600.886 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.886 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.886 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545556600.886 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545556600.886 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.886 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.886 * [misc]backup-simplify: Simplify 2 into 2 1545556600.886 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.887 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.887 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545556600.887 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.887 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.887 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.887 * [misc]backup-simplify: Simplify 2 into 2 1545556600.887 * [misc]taylor: Taking taylor expansion of n in n 1545556600.887 * [misc]backup-simplify: Simplify 0 into 0 1545556600.887 * [misc]backup-simplify: Simplify 1 into 1 1545556600.887 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.887 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.887 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.887 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.887 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.887 * [misc]backup-simplify: Simplify PI into PI 1545556600.888 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.888 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556600.888 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556600.888 * [misc]taylor: Taking taylor expansion of n in n 1545556600.888 * [misc]backup-simplify: Simplify 0 into 0 1545556600.888 * [misc]backup-simplify: Simplify 1 into 1 1545556600.888 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.888 * [misc]backup-simplify: Simplify PI into PI 1545556600.888 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556600.889 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556600.889 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.889 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.889 * [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 1545556600.889 * [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 1545556600.889 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545556600.889 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.889 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.889 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545556600.889 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.889 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.890 * [misc]backup-simplify: Simplify 2 into 2 1545556600.890 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.890 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.890 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545556600.890 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545556600.890 * [misc]taylor: Taking taylor expansion of n in n 1545556600.890 * [misc]backup-simplify: Simplify 0 into 0 1545556600.890 * [misc]backup-simplify: Simplify 1 into 1 1545556600.890 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.890 * [misc]backup-simplify: Simplify PI into PI 1545556600.890 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545556600.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545556600.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.892 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.892 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.892 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.892 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.892 * [misc]backup-simplify: Simplify 2 into 2 1545556600.892 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556600.892 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556600.892 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556600.892 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.892 * [misc]backup-simplify: Simplify 2 into 2 1545556600.892 * [misc]taylor: Taking taylor expansion of n in n 1545556600.892 * [misc]backup-simplify: Simplify 0 into 0 1545556600.892 * [misc]backup-simplify: Simplify 1 into 1 1545556600.893 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556600.893 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556600.893 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.893 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556600.893 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556600.893 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.893 * [misc]backup-simplify: Simplify PI into PI 1545556600.893 * [misc]taylor: Taking taylor expansion of n in n 1545556600.893 * [misc]backup-simplify: Simplify 0 into 0 1545556600.893 * [misc]backup-simplify: Simplify 1 into 1 1545556600.893 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556600.894 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556600.894 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.895 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556600.895 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556600.896 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556600.897 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.897 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545556600.898 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545556600.899 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545556600.900 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.900 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.900 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.901 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545556600.901 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545556600.902 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545556600.902 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.902 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.902 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545556600.903 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545556600.904 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545556600.904 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.904 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545556600.904 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.905 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.905 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556600.905 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.907 * [misc]backup-simplify: Simplify 0 into 0 1545556600.910 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556600.911 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545556600.912 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556600.915 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556600.917 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.918 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545556600.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556600.920 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556600.920 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556600.921 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556600.921 * [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)))))) 1545556600.922 * [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)))))) 1545556600.924 * [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)))))) 1545556600.926 * [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))))))) 1545556600.928 * [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))))))) 1545556600.931 * [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))))))))) 1545556600.934 * [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))))))))) 1545556600.938 * [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))))))))) 1545556600.939 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545556600.940 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545556600.940 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545556600.942 * [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)))) 1545556600.944 * [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)))) 1545556600.945 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556600.946 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545556600.951 * [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))))))))))))))) 1545556600.952 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 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)) 1545556600.952 * [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 1545556600.952 * [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 1545556600.952 * [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 1545556600.952 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.952 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.952 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.952 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of k in n 1545556600.952 * [misc]backup-simplify: Simplify k into k 1545556600.952 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.952 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.952 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.952 * [misc]backup-simplify: Simplify PI into PI 1545556600.952 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.952 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.952 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.952 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.953 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556600.953 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.953 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.953 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of k in n 1545556600.953 * [misc]backup-simplify: Simplify k into k 1545556600.953 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.953 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.953 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.953 * [misc]backup-simplify: Simplify 2 into 2 1545556600.953 * [misc]taylor: Taking taylor expansion of n in n 1545556600.953 * [misc]backup-simplify: Simplify 0 into 0 1545556600.953 * [misc]backup-simplify: Simplify 1 into 1 1545556600.953 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.953 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.954 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.954 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.954 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.954 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.954 * [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))) 1545556600.954 * [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)))) 1545556600.954 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545556600.954 * [misc]taylor: Taking taylor expansion of k in n 1545556600.954 * [misc]backup-simplify: Simplify k into k 1545556600.954 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545556600.954 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545556600.954 * [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 1545556600.954 * [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 1545556600.954 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556600.954 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.955 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of k in k 1545556600.955 * [misc]backup-simplify: Simplify 0 into 0 1545556600.955 * [misc]backup-simplify: Simplify 1 into 1 1545556600.955 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.955 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.955 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.955 * [misc]backup-simplify: Simplify PI into PI 1545556600.955 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.955 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.955 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.955 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.956 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556600.956 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.956 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.956 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.956 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.956 * [misc]taylor: Taking taylor expansion of k in k 1545556600.957 * [misc]backup-simplify: Simplify 0 into 0 1545556600.957 * [misc]backup-simplify: Simplify 1 into 1 1545556600.957 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.957 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556600.957 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556600.957 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.957 * [misc]backup-simplify: Simplify 2 into 2 1545556600.957 * [misc]taylor: Taking taylor expansion of n in k 1545556600.957 * [misc]backup-simplify: Simplify n into n 1545556600.957 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556600.957 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556600.957 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.957 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.957 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.958 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556600.958 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.958 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556600.958 * [misc]taylor: Taking taylor expansion of k in k 1545556600.958 * [misc]backup-simplify: Simplify 0 into 0 1545556600.958 * [misc]backup-simplify: Simplify 1 into 1 1545556600.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.958 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556600.958 * [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 1545556600.959 * [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 1545556600.959 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.959 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of k in k 1545556600.959 * [misc]backup-simplify: Simplify 0 into 0 1545556600.959 * [misc]backup-simplify: Simplify 1 into 1 1545556600.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.959 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.959 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.959 * [misc]backup-simplify: Simplify PI into PI 1545556600.959 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.959 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.960 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.960 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.960 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556600.960 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.960 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.960 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.960 * [misc]taylor: Taking taylor expansion of k in k 1545556600.960 * [misc]backup-simplify: Simplify 0 into 0 1545556600.960 * [misc]backup-simplify: Simplify 1 into 1 1545556600.960 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.961 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556600.961 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556600.961 * [misc]taylor: Taking taylor expansion of 2 in k 1545556600.961 * [misc]backup-simplify: Simplify 2 into 2 1545556600.961 * [misc]taylor: Taking taylor expansion of n in k 1545556600.961 * [misc]backup-simplify: Simplify n into n 1545556600.961 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556600.961 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556600.961 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.961 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556600.961 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556600.961 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556600.961 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.961 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545556600.961 * [misc]taylor: Taking taylor expansion of k in k 1545556600.961 * [misc]backup-simplify: Simplify 0 into 0 1545556600.961 * [misc]backup-simplify: Simplify 1 into 1 1545556600.961 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.962 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545556600.962 * [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))))) 1545556600.962 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545556600.962 * [misc]taylor: Taking taylor expansion of 0 in n 1545556600.962 * [misc]backup-simplify: Simplify 0 into 0 1545556600.962 * [misc]backup-simplify: Simplify 0 into 0 1545556600.962 * [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 1545556600.962 * [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))))))) 1545556600.962 * [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 1545556600.963 * [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 1545556600.963 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.963 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.963 * [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 1545556600.963 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of k in n 1545556600.963 * [misc]backup-simplify: Simplify k into k 1545556600.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.963 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.963 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.963 * [misc]backup-simplify: Simplify PI into PI 1545556600.963 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.963 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.963 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.963 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.963 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556600.964 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.964 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of k in n 1545556600.964 * [misc]backup-simplify: Simplify k into k 1545556600.964 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.964 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.964 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.964 * [misc]backup-simplify: Simplify 2 into 2 1545556600.964 * [misc]taylor: Taking taylor expansion of n in n 1545556600.964 * [misc]backup-simplify: Simplify 0 into 0 1545556600.964 * [misc]backup-simplify: Simplify 1 into 1 1545556600.964 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.964 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.964 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.965 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.966 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.966 * [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))) 1545556600.966 * [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)))) 1545556600.966 * [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))))) 1545556600.967 * [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)))))) 1545556600.967 * [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))))))) 1545556600.967 * [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))))))) 1545556600.967 * [misc]backup-simplify: Simplify 0 into 0 1545556600.968 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556600.968 * [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 1545556600.969 * [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))))))) 1545556600.969 * [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 1545556600.969 * [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 1545556600.969 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.969 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.969 * [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 1545556600.969 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.969 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.969 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of k in n 1545556600.969 * [misc]backup-simplify: Simplify k into k 1545556600.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.969 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.969 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.969 * [misc]backup-simplify: Simplify PI into PI 1545556600.969 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.969 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.970 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.970 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556600.970 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.970 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of k in n 1545556600.970 * [misc]backup-simplify: Simplify k into k 1545556600.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.970 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.970 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.970 * [misc]backup-simplify: Simplify 2 into 2 1545556600.970 * [misc]taylor: Taking taylor expansion of n in n 1545556600.970 * [misc]backup-simplify: Simplify 0 into 0 1545556600.970 * [misc]backup-simplify: Simplify 1 into 1 1545556600.971 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.971 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.971 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.971 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.971 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.971 * [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))) 1545556600.971 * [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)))) 1545556600.972 * [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))))) 1545556600.972 * [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)))))) 1545556600.972 * [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))))))) 1545556600.973 * [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))))))) 1545556600.973 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556600.974 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556600.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556600.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556600.975 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.975 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.975 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556600.976 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556600.977 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556600.977 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556600.977 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556600.977 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556600.978 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545556600.979 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556600.979 * [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 1545556600.980 * [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 1545556600.980 * [misc]backup-simplify: Simplify (- 0) into 0 1545556600.980 * [misc]backup-simplify: Simplify 0 into 0 1545556600.980 * [misc]backup-simplify: Simplify 0 into 0 1545556600.981 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556600.982 * [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 1545556600.982 * [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))))))) 1545556600.982 * [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 1545556600.982 * [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 1545556600.982 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.982 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.982 * [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 1545556600.983 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of k in n 1545556600.983 * [misc]backup-simplify: Simplify k into k 1545556600.983 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.983 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.983 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.983 * [misc]backup-simplify: Simplify PI into PI 1545556600.983 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.983 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.983 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.983 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.984 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556600.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556600.984 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.984 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.984 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of k in n 1545556600.984 * [misc]backup-simplify: Simplify k into k 1545556600.984 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.984 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556600.984 * [misc]taylor: Taking taylor expansion of 2 in n 1545556600.984 * [misc]backup-simplify: Simplify 2 into 2 1545556600.984 * [misc]taylor: Taking taylor expansion of n in n 1545556600.984 * [misc]backup-simplify: Simplify 0 into 0 1545556600.984 * [misc]backup-simplify: Simplify 1 into 1 1545556600.984 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556600.984 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556600.984 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.985 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556600.985 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556600.985 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556600.985 * [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))) 1545556600.985 * [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)))) 1545556600.985 * [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))))) 1545556600.986 * [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)))))) 1545556600.986 * [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))))))) 1545556600.986 * [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))))))) 1545556600.988 * [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)))))))) 1545556600.988 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 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))) 1545556600.988 * [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 1545556600.988 * [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 1545556600.988 * [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 1545556600.988 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.988 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556600.988 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556600.988 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.989 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.989 * [misc]taylor: Taking taylor expansion of k in n 1545556600.989 * [misc]backup-simplify: Simplify k into k 1545556600.989 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.989 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556600.989 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556600.989 * [misc]taylor: Taking taylor expansion of -2 in n 1545556600.989 * [misc]backup-simplify: Simplify -2 into -2 1545556600.989 * [misc]taylor: Taking taylor expansion of n in n 1545556600.989 * [misc]backup-simplify: Simplify 0 into 0 1545556600.989 * [misc]backup-simplify: Simplify 1 into 1 1545556600.989 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556600.989 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556600.989 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.989 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556600.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.989 * [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))) 1545556600.990 * [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)))) 1545556600.990 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of k in n 1545556600.990 * [misc]backup-simplify: Simplify k into k 1545556600.990 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.990 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.990 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.990 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.990 * [misc]backup-simplify: Simplify PI into PI 1545556600.990 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.990 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.990 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556600.990 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556600.991 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.991 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545556600.991 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545556600.991 * [misc]taylor: Taking taylor expansion of -1 in n 1545556600.991 * [misc]backup-simplify: Simplify -1 into -1 1545556600.991 * [misc]taylor: Taking taylor expansion of k in n 1545556600.991 * [misc]backup-simplify: Simplify k into k 1545556600.991 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545556600.991 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545556600.991 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545556600.991 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545556600.991 * [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))) 1545556600.992 * [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))) 1545556600.992 * [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 1545556600.992 * [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 1545556600.992 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of k in k 1545556600.992 * [misc]backup-simplify: Simplify 0 into 0 1545556600.992 * [misc]backup-simplify: Simplify 1 into 1 1545556600.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.992 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.992 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556600.992 * [misc]taylor: Taking taylor expansion of -2 in k 1545556600.992 * [misc]backup-simplify: Simplify -2 into -2 1545556600.992 * [misc]taylor: Taking taylor expansion of n in k 1545556600.992 * [misc]backup-simplify: Simplify n into n 1545556600.992 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556600.992 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556600.992 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.992 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.992 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556600.992 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.993 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of k in k 1545556600.993 * [misc]backup-simplify: Simplify 0 into 0 1545556600.993 * [misc]backup-simplify: Simplify 1 into 1 1545556600.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.993 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.993 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.993 * [misc]backup-simplify: Simplify PI into PI 1545556600.993 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.993 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.993 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.994 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556600.994 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.994 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556600.994 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556600.994 * [misc]taylor: Taking taylor expansion of -1 in k 1545556600.994 * [misc]backup-simplify: Simplify -1 into -1 1545556600.994 * [misc]taylor: Taking taylor expansion of k in k 1545556600.994 * [misc]backup-simplify: Simplify 0 into 0 1545556600.994 * [misc]backup-simplify: Simplify 1 into 1 1545556600.994 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556600.994 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.994 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556600.994 * [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))) 1545556600.995 * [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)))) 1545556600.995 * [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 1545556600.995 * [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 1545556600.995 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of k in k 1545556600.995 * [misc]backup-simplify: Simplify 0 into 0 1545556600.995 * [misc]backup-simplify: Simplify 1 into 1 1545556600.995 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.995 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.995 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556600.995 * [misc]taylor: Taking taylor expansion of -2 in k 1545556600.995 * [misc]backup-simplify: Simplify -2 into -2 1545556600.995 * [misc]taylor: Taking taylor expansion of n in k 1545556600.995 * [misc]backup-simplify: Simplify n into n 1545556600.995 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556600.995 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556600.995 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.995 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.996 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556600.996 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.996 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of k in k 1545556600.996 * [misc]backup-simplify: Simplify 0 into 0 1545556600.996 * [misc]backup-simplify: Simplify 1 into 1 1545556600.996 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556600.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556600.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.996 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556600.996 * [misc]taylor: Taking taylor expansion of PI in k 1545556600.996 * [misc]backup-simplify: Simplify PI into PI 1545556600.996 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556600.996 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556600.996 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556600.997 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556600.997 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556600.997 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545556600.997 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545556600.997 * [misc]taylor: Taking taylor expansion of -1 in k 1545556600.997 * [misc]backup-simplify: Simplify -1 into -1 1545556600.997 * [misc]taylor: Taking taylor expansion of k in k 1545556600.997 * [misc]backup-simplify: Simplify 0 into 0 1545556600.997 * [misc]backup-simplify: Simplify 1 into 1 1545556600.997 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545556600.997 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556600.997 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545556600.998 * [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))) 1545556600.998 * [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)))) 1545556600.998 * [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 1545556600.998 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556600.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556600.998 * [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 1545556600.998 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of k in n 1545556600.998 * [misc]backup-simplify: Simplify k into k 1545556600.998 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.998 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556600.998 * [misc]taylor: Taking taylor expansion of -2 in n 1545556600.998 * [misc]backup-simplify: Simplify -2 into -2 1545556600.998 * [misc]taylor: Taking taylor expansion of n in n 1545556600.998 * [misc]backup-simplify: Simplify 0 into 0 1545556600.998 * [misc]backup-simplify: Simplify 1 into 1 1545556600.998 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556600.998 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556600.999 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556600.999 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556600.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556600.999 * [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))) 1545556600.999 * [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)))) 1545556600.999 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of k in n 1545556600.999 * [misc]backup-simplify: Simplify k into k 1545556600.999 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556600.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556600.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556600.999 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556600.999 * [misc]taylor: Taking taylor expansion of PI in n 1545556600.999 * [misc]backup-simplify: Simplify PI into PI 1545556601.000 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.000 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.000 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.000 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.000 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.001 * [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))) 1545556601.001 * [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)))) 1545556601.001 * [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)))) 1545556601.002 * [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 1545556601.002 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545556601.003 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545556601.003 * [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))))) 1545556601.003 * [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 1545556601.003 * [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 1545556601.003 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556601.003 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556601.003 * [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 1545556601.003 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of k in n 1545556601.003 * [misc]backup-simplify: Simplify k into k 1545556601.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.003 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556601.003 * [misc]taylor: Taking taylor expansion of -2 in n 1545556601.003 * [misc]backup-simplify: Simplify -2 into -2 1545556601.003 * [misc]taylor: Taking taylor expansion of n in n 1545556601.003 * [misc]backup-simplify: Simplify 0 into 0 1545556601.004 * [misc]backup-simplify: Simplify 1 into 1 1545556601.004 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556601.004 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556601.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.004 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.004 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.004 * [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))) 1545556601.004 * [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)))) 1545556601.004 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of k in n 1545556601.005 * [misc]backup-simplify: Simplify k into k 1545556601.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.005 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.005 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.005 * [misc]backup-simplify: Simplify PI into PI 1545556601.005 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.005 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.005 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.005 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.006 * [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))) 1545556601.006 * [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)))) 1545556601.006 * [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))))) 1545556601.007 * [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))))) 1545556601.008 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.008 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.008 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.009 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545556601.010 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.010 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556601.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556601.011 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.012 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.012 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556601.014 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.014 * [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 1545556601.015 * [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 1545556601.015 * [misc]backup-simplify: Simplify 0 into 0 1545556601.016 * [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 1545556601.016 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.017 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545556601.018 * [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))))) 1545556601.018 * [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 1545556601.018 * [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 1545556601.018 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545556601.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545556601.019 * [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 1545556601.019 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of k in n 1545556601.019 * [misc]backup-simplify: Simplify k into k 1545556601.019 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.019 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556601.019 * [misc]taylor: Taking taylor expansion of -2 in n 1545556601.019 * [misc]backup-simplify: Simplify -2 into -2 1545556601.019 * [misc]taylor: Taking taylor expansion of n in n 1545556601.019 * [misc]backup-simplify: Simplify 0 into 0 1545556601.019 * [misc]backup-simplify: Simplify 1 into 1 1545556601.019 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556601.019 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556601.020 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.020 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.020 * [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))) 1545556601.021 * [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)))) 1545556601.021 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of k in n 1545556601.021 * [misc]backup-simplify: Simplify k into k 1545556601.021 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.021 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.021 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.021 * [misc]backup-simplify: Simplify PI into PI 1545556601.021 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.021 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.022 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.022 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.022 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.023 * [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))) 1545556601.023 * [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)))) 1545556601.024 * [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))))) 1545556601.024 * [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))))) 1545556601.026 * [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)))))))) 1545556601.027 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1545556601.027 * [misc]backup-simplify: Simplify (* (exp (* (log 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)))) 1545556601.027 * [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 1545556601.027 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545556601.027 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545556601.027 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.028 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.028 * [misc]taylor: Taking taylor expansion of k in n 1545556601.028 * [misc]backup-simplify: Simplify k into k 1545556601.028 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556601.028 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.028 * [misc]backup-simplify: Simplify 2 into 2 1545556601.028 * [misc]taylor: Taking taylor expansion of n in n 1545556601.028 * [misc]backup-simplify: Simplify 0 into 0 1545556601.028 * [misc]backup-simplify: Simplify 1 into 1 1545556601.028 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556601.028 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556601.028 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.029 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556601.029 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556601.029 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556601.029 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.029 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545556601.030 * [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)))) 1545556601.030 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.030 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.030 * [misc]taylor: Taking taylor expansion of k in n 1545556601.030 * [misc]backup-simplify: Simplify k into k 1545556601.030 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.030 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.030 * [misc]backup-simplify: Simplify PI into PI 1545556601.030 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.030 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545556601.030 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545556601.031 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545556601.031 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556601.031 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545556601.031 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556601.031 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556601.031 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556601.031 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556601.031 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.031 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.032 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.032 * [misc]taylor: Taking taylor expansion of k in k 1545556601.032 * [misc]backup-simplify: Simplify 0 into 0 1545556601.032 * [misc]backup-simplify: Simplify 1 into 1 1545556601.032 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556601.032 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556601.032 * [misc]taylor: Taking taylor expansion of 2 in k 1545556601.032 * [misc]backup-simplify: Simplify 2 into 2 1545556601.032 * [misc]taylor: Taking taylor expansion of n in k 1545556601.032 * [misc]backup-simplify: Simplify n into n 1545556601.032 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556601.032 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556601.032 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.032 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.032 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.033 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556601.033 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556601.033 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.033 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.033 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.033 * [misc]taylor: Taking taylor expansion of k in k 1545556601.033 * [misc]backup-simplify: Simplify 0 into 0 1545556601.033 * [misc]backup-simplify: Simplify 1 into 1 1545556601.033 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.033 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.033 * [misc]backup-simplify: Simplify PI into PI 1545556601.033 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.033 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.034 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.034 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.034 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.035 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556601.035 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.035 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.035 * [misc]taylor: Taking taylor expansion of k in k 1545556601.035 * [misc]backup-simplify: Simplify 0 into 0 1545556601.035 * [misc]backup-simplify: Simplify 1 into 1 1545556601.035 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545556601.035 * [misc]taylor: Taking taylor expansion of 2 in k 1545556601.035 * [misc]backup-simplify: Simplify 2 into 2 1545556601.035 * [misc]taylor: Taking taylor expansion of n in k 1545556601.035 * [misc]backup-simplify: Simplify n into n 1545556601.035 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545556601.035 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545556601.036 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.036 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.036 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.036 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545556601.036 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545556601.036 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.036 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.036 * [misc]taylor: Taking taylor expansion of k in k 1545556601.036 * [misc]backup-simplify: Simplify 0 into 0 1545556601.036 * [misc]backup-simplify: Simplify 1 into 1 1545556601.036 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.036 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.036 * [misc]backup-simplify: Simplify PI into PI 1545556601.037 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.037 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.037 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.037 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.037 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.038 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545556601.039 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545556601.039 * [misc]taylor: Taking taylor expansion of (sqrt (* PI (* n 2))) in n 1545556601.039 * [misc]taylor: Taking taylor expansion of (* PI (* n 2)) in n 1545556601.039 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.039 * [misc]backup-simplify: Simplify PI into PI 1545556601.039 * [misc]taylor: Taking taylor expansion of (* n 2) in n 1545556601.039 * [misc]taylor: Taking taylor expansion of n in n 1545556601.039 * [misc]backup-simplify: Simplify 0 into 0 1545556601.039 * [misc]backup-simplify: Simplify 1 into 1 1545556601.039 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.039 * [misc]backup-simplify: Simplify 2 into 2 1545556601.039 * [misc]backup-simplify: Simplify (* 0 2) into 0 1545556601.039 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.039 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 1545556601.040 * [misc]backup-simplify: Simplify (+ (* PI 2) (* 0 0)) into (* 2 PI) 1545556601.040 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.041 * [misc]backup-simplify: Simplify (/ (* 2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.041 * [misc]backup-simplify: Simplify 0 into 0 1545556601.043 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.043 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556601.043 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.043 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556601.047 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545556601.047 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545556601.048 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545556601.048 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556601.048 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.048 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545556601.049 * [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)))) 1545556601.050 * [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)))))) 1545556601.050 * [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 1545556601.050 * [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 1545556601.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.050 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.050 * [misc]backup-simplify: Simplify 2 into 2 1545556601.050 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556601.050 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556601.050 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.050 * [misc]backup-simplify: Simplify PI into PI 1545556601.050 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.050 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556601.050 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.050 * [misc]backup-simplify: Simplify PI into PI 1545556601.050 * [misc]taylor: Taking taylor expansion of n in n 1545556601.050 * [misc]backup-simplify: Simplify 0 into 0 1545556601.050 * [misc]backup-simplify: Simplify 1 into 1 1545556601.051 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.051 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556601.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.051 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545556601.051 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.051 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545556601.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545556601.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556601.052 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.052 * [misc]backup-simplify: Simplify 2 into 2 1545556601.052 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556601.052 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556601.052 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556601.052 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556601.052 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.052 * [misc]backup-simplify: Simplify 2 into 2 1545556601.052 * [misc]taylor: Taking taylor expansion of n in n 1545556601.052 * [misc]backup-simplify: Simplify 0 into 0 1545556601.052 * [misc]backup-simplify: Simplify 1 into 1 1545556601.052 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556601.052 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556601.052 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.052 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556601.052 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556601.052 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.052 * [misc]backup-simplify: Simplify PI into PI 1545556601.052 * [misc]taylor: Taking taylor expansion of n in n 1545556601.052 * [misc]backup-simplify: Simplify 0 into 0 1545556601.052 * [misc]backup-simplify: Simplify 1 into 1 1545556601.053 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.053 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556601.053 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.053 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.054 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545556601.054 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545556601.054 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.055 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545556601.055 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545556601.055 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.056 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.056 * [misc]backup-simplify: Simplify 0 into 0 1545556601.056 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1545556601.058 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.058 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556601.059 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.059 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556601.062 * [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))) 1545556601.062 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545556601.063 * [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 1545556601.063 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556601.063 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.064 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545556601.064 * [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))) 1545556601.067 * [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))))))) 1545556601.067 * [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 1545556601.067 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545556601.067 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545556601.067 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.067 * [misc]backup-simplify: Simplify 2 into 2 1545556601.067 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556601.067 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556601.067 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.067 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.067 * [misc]backup-simplify: Simplify PI into PI 1545556601.068 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.068 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556601.068 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556601.068 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.068 * [misc]backup-simplify: Simplify PI into PI 1545556601.068 * [misc]taylor: Taking taylor expansion of n in n 1545556601.068 * [misc]backup-simplify: Simplify 0 into 0 1545556601.068 * [misc]backup-simplify: Simplify 1 into 1 1545556601.068 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.068 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556601.068 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.069 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.069 * [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 1545556601.069 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of 1/8 in n 1545556601.069 * [misc]backup-simplify: Simplify 1/8 into 1/8 1545556601.069 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.069 * [misc]backup-simplify: Simplify 2 into 2 1545556601.069 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556601.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556601.069 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556601.069 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.069 * [misc]backup-simplify: Simplify 2 into 2 1545556601.069 * [misc]taylor: Taking taylor expansion of n in n 1545556601.069 * [misc]backup-simplify: Simplify 0 into 0 1545556601.069 * [misc]backup-simplify: Simplify 1 into 1 1545556601.069 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556601.069 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556601.069 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.070 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.070 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556601.070 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556601.070 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.070 * [misc]backup-simplify: Simplify PI into PI 1545556601.070 * [misc]taylor: Taking taylor expansion of n in n 1545556601.070 * [misc]backup-simplify: Simplify 0 into 0 1545556601.070 * [misc]backup-simplify: Simplify 1 into 1 1545556601.070 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.070 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556601.070 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.071 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.071 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))) in n 1545556601.071 * [misc]taylor: Taking taylor expansion of 1/4 in n 1545556601.071 * [misc]backup-simplify: Simplify 1/4 into 1/4 1545556601.071 * [misc]taylor: Taking taylor expansion of (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI)))) in n 1545556601.071 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545556601.071 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545556601.071 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.071 * [misc]backup-simplify: Simplify PI into PI 1545556601.071 * [misc]taylor: Taking taylor expansion of n in n 1545556601.071 * [misc]backup-simplify: Simplify 0 into 0 1545556601.071 * [misc]backup-simplify: Simplify 1 into 1 1545556601.071 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545556601.071 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545556601.072 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545556601.072 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545556601.072 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545556601.072 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545556601.072 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.072 * [misc]backup-simplify: Simplify 2 into 2 1545556601.072 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545556601.072 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545556601.072 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545556601.072 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545556601.072 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545556601.072 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.072 * [misc]backup-simplify: Simplify 2 into 2 1545556601.072 * [misc]taylor: Taking taylor expansion of n in n 1545556601.072 * [misc]backup-simplify: Simplify 0 into 0 1545556601.072 * [misc]backup-simplify: Simplify 1 into 1 1545556601.072 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545556601.072 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545556601.073 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.073 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.073 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.073 * [misc]backup-simplify: Simplify PI into PI 1545556601.073 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.073 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545556601.074 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545556601.075 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545556601.075 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545556601.075 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.075 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.076 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545556601.076 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545556601.076 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545556601.077 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1545556601.077 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.077 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545556601.078 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545556601.079 * [misc]backup-simplify: Simplify (* 0 (* (+ (log 2) (log n)) (* (sqrt 2) (log PI)))) into 0 1545556601.079 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1545556601.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.079 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.079 * [misc]backup-simplify: Simplify 0 into 0 1545556601.082 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.082 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545556601.084 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556601.086 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545556601.088 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545556601.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556601.091 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545556601.091 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545556601.092 * [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)))))) 1545556601.094 * [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)))))) 1545556601.097 * [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)))))))) 1545556601.101 * [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)))))))) 1545556601.105 * [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)))))))) 1545556601.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 1545556601.105 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 2) (* 0 0))) into 0 1545556601.106 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545556601.107 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1545556601.110 * [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))))))))))) 1545556601.110 * [misc]backup-simplify: Simplify (* (exp (* (log 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))))) 1545556601.110 * [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 1545556601.110 * [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 1545556601.110 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556601.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556601.110 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556601.110 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556601.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.111 * [misc]taylor: Taking taylor expansion of k in n 1545556601.111 * [misc]backup-simplify: Simplify k into k 1545556601.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.111 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.111 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.111 * [misc]backup-simplify: Simplify PI into PI 1545556601.111 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.111 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.111 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556601.111 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556601.111 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556601.111 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.112 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of k in n 1545556601.112 * [misc]backup-simplify: Simplify k into k 1545556601.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.112 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556601.112 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.112 * [misc]backup-simplify: Simplify 2 into 2 1545556601.112 * [misc]taylor: Taking taylor expansion of n in n 1545556601.112 * [misc]backup-simplify: Simplify 0 into 0 1545556601.112 * [misc]backup-simplify: Simplify 1 into 1 1545556601.112 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556601.112 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.112 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.112 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556601.112 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556601.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556601.113 * [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))) 1545556601.113 * [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)))) 1545556601.113 * [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 1545556601.113 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of k in k 1545556601.113 * [misc]backup-simplify: Simplify 0 into 0 1545556601.113 * [misc]backup-simplify: Simplify 1 into 1 1545556601.113 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.113 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.113 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.113 * [misc]backup-simplify: Simplify PI into PI 1545556601.114 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.114 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.114 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.114 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.114 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556601.114 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.114 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556601.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556601.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556601.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.114 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.114 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.114 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.115 * [misc]taylor: Taking taylor expansion of k in k 1545556601.115 * [misc]backup-simplify: Simplify 0 into 0 1545556601.115 * [misc]backup-simplify: Simplify 1 into 1 1545556601.115 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.115 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556601.115 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556601.115 * [misc]taylor: Taking taylor expansion of 2 in k 1545556601.115 * [misc]backup-simplify: Simplify 2 into 2 1545556601.115 * [misc]taylor: Taking taylor expansion of n in k 1545556601.115 * [misc]backup-simplify: Simplify n into n 1545556601.115 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556601.115 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556601.115 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.115 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.115 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.115 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556601.116 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.116 * [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 1545556601.116 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.116 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.116 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of k in k 1545556601.116 * [misc]backup-simplify: Simplify 0 into 0 1545556601.116 * [misc]backup-simplify: Simplify 1 into 1 1545556601.116 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.116 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.116 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.116 * [misc]backup-simplify: Simplify PI into PI 1545556601.116 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.116 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.116 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.116 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.117 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556601.117 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.117 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.117 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of k in k 1545556601.117 * [misc]backup-simplify: Simplify 0 into 0 1545556601.117 * [misc]backup-simplify: Simplify 1 into 1 1545556601.117 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.117 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545556601.117 * [misc]taylor: Taking taylor expansion of 2 in k 1545556601.117 * [misc]backup-simplify: Simplify 2 into 2 1545556601.117 * [misc]taylor: Taking taylor expansion of n in k 1545556601.117 * [misc]backup-simplify: Simplify n into n 1545556601.117 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545556601.118 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545556601.118 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.118 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545556601.118 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.118 * [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))))) 1545556601.118 * [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 1545556601.118 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of k in n 1545556601.118 * [misc]backup-simplify: Simplify k into k 1545556601.118 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.118 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.118 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.118 * [misc]backup-simplify: Simplify PI into PI 1545556601.119 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.119 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.119 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556601.119 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556601.119 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556601.119 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545556601.119 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.119 * [misc]taylor: Taking taylor expansion of k in n 1545556601.119 * [misc]backup-simplify: Simplify k into k 1545556601.119 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.120 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545556601.120 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545556601.120 * [misc]taylor: Taking taylor expansion of 2 in n 1545556601.120 * [misc]backup-simplify: Simplify 2 into 2 1545556601.120 * [misc]taylor: Taking taylor expansion of n in n 1545556601.120 * [misc]backup-simplify: Simplify 0 into 0 1545556601.120 * [misc]backup-simplify: Simplify 1 into 1 1545556601.120 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545556601.120 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545556601.120 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.120 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545556601.120 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545556601.120 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556601.120 * [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))) 1545556601.121 * [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)))) 1545556601.121 * [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))))) 1545556601.121 * [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))))) 1545556601.121 * [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 1545556601.121 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.121 * [misc]backup-simplify: Simplify 0 into 0 1545556601.121 * [misc]backup-simplify: Simplify 0 into 0 1545556601.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545556601.123 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545556601.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.123 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556601.124 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545556601.125 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.126 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.126 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.126 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.126 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.126 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.127 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545556601.128 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.128 * [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 1545556601.128 * [misc]backup-simplify: Simplify 0 into 0 1545556601.128 * [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 1545556601.128 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.128 * [misc]backup-simplify: Simplify 0 into 0 1545556601.128 * [misc]backup-simplify: Simplify 0 into 0 1545556601.128 * [misc]backup-simplify: Simplify 0 into 0 1545556601.129 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.131 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545556601.131 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556601.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556601.132 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.132 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545556601.132 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545556601.133 * [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 1545556601.136 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556601.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556601.136 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.137 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545556601.138 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556601.139 * [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 1545556601.139 * [misc]backup-simplify: Simplify 0 into 0 1545556601.139 * [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 1545556601.139 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.139 * [misc]backup-simplify: Simplify 0 into 0 1545556601.139 * [misc]backup-simplify: Simplify 0 into 0 1545556601.139 * [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)))) 1545556601.140 * [misc]backup-simplify: Simplify (* (exp (* (log 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))) 1545556601.140 * [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 1545556601.140 * [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 1545556601.140 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.140 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of k in n 1545556601.140 * [misc]backup-simplify: Simplify k into k 1545556601.140 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.140 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556601.140 * [misc]taylor: Taking taylor expansion of -2 in n 1545556601.140 * [misc]backup-simplify: Simplify -2 into -2 1545556601.140 * [misc]taylor: Taking taylor expansion of n in n 1545556601.140 * [misc]backup-simplify: Simplify 0 into 0 1545556601.140 * [misc]backup-simplify: Simplify 1 into 1 1545556601.140 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556601.140 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556601.140 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.140 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.141 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.141 * [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))) 1545556601.141 * [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)))) 1545556601.141 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of k in n 1545556601.141 * [misc]backup-simplify: Simplify k into k 1545556601.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.141 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.141 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.141 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.141 * [misc]backup-simplify: Simplify PI into PI 1545556601.141 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.142 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.142 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.142 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.142 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.142 * [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 1545556601.142 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.142 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of k in k 1545556601.142 * [misc]backup-simplify: Simplify 0 into 0 1545556601.142 * [misc]backup-simplify: Simplify 1 into 1 1545556601.142 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.142 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556601.142 * [misc]taylor: Taking taylor expansion of -2 in k 1545556601.142 * [misc]backup-simplify: Simplify -2 into -2 1545556601.142 * [misc]taylor: Taking taylor expansion of n in k 1545556601.142 * [misc]backup-simplify: Simplify n into n 1545556601.142 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556601.143 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556601.143 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.143 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.143 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556601.143 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.143 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of k in k 1545556601.143 * [misc]backup-simplify: Simplify 0 into 0 1545556601.143 * [misc]backup-simplify: Simplify 1 into 1 1545556601.143 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.143 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.143 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.143 * [misc]backup-simplify: Simplify PI into PI 1545556601.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.144 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.144 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.144 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.144 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.144 * [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 1545556601.144 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.144 * [misc]taylor: Taking taylor expansion of k in k 1545556601.144 * [misc]backup-simplify: Simplify 0 into 0 1545556601.144 * [misc]backup-simplify: Simplify 1 into 1 1545556601.144 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.145 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of -2 in k 1545556601.145 * [misc]backup-simplify: Simplify -2 into -2 1545556601.145 * [misc]taylor: Taking taylor expansion of n in k 1545556601.145 * [misc]backup-simplify: Simplify n into n 1545556601.145 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545556601.145 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545556601.145 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.145 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.145 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545556601.145 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.145 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of k in k 1545556601.145 * [misc]backup-simplify: Simplify 0 into 0 1545556601.145 * [misc]backup-simplify: Simplify 1 into 1 1545556601.145 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.145 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.145 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.145 * [misc]backup-simplify: Simplify PI into PI 1545556601.146 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.146 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.146 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.147 * [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))) 1545556601.147 * [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 1545556601.147 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of k in n 1545556601.147 * [misc]backup-simplify: Simplify k into k 1545556601.147 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.147 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545556601.147 * [misc]taylor: Taking taylor expansion of -2 in n 1545556601.147 * [misc]backup-simplify: Simplify -2 into -2 1545556601.147 * [misc]taylor: Taking taylor expansion of n in n 1545556601.147 * [misc]backup-simplify: Simplify 0 into 0 1545556601.147 * [misc]backup-simplify: Simplify 1 into 1 1545556601.147 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545556601.147 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545556601.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.147 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.148 * [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))) 1545556601.148 * [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)))) 1545556601.148 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.148 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of k in n 1545556601.148 * [misc]backup-simplify: Simplify k into k 1545556601.148 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545556601.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545556601.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.148 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545556601.148 * [misc]taylor: Taking taylor expansion of PI in n 1545556601.148 * [misc]backup-simplify: Simplify PI into PI 1545556601.148 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.148 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545556601.148 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545556601.149 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.149 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545556601.149 * [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))) 1545556601.149 * [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))) 1545556601.150 * [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 1545556601.150 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.150 * [misc]backup-simplify: Simplify 0 into 0 1545556601.150 * [misc]backup-simplify: Simplify 0 into 0 1545556601.151 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.151 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.151 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.151 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.152 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545556601.153 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.153 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545556601.154 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545556601.154 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545556601.154 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545556601.154 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.155 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.155 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545556601.156 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545556601.156 * [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 1545556601.156 * [misc]backup-simplify: Simplify 0 into 0 1545556601.156 * [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 1545556601.156 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.156 * [misc]backup-simplify: Simplify 0 into 0 1545556601.157 * [misc]backup-simplify: Simplify 0 into 0 1545556601.157 * [misc]backup-simplify: Simplify 0 into 0 1545556601.159 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.159 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556601.159 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556601.159 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.160 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1545556601.161 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545556601.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.164 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545556601.164 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545556601.164 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545556601.164 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.165 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545556601.165 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545556601.166 * [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 1545556601.167 * [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 1545556601.167 * [misc]backup-simplify: Simplify 0 into 0 1545556601.167 * [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 1545556601.167 * [misc]taylor: Taking taylor expansion of 0 in n 1545556601.167 * [misc]backup-simplify: Simplify 0 into 0 1545556601.167 * [misc]backup-simplify: Simplify 0 into 0 1545556601.168 * [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)))) 1545556601.168 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1) 1545556601.168 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545556601.168 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1545556601.168 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556601.168 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.168 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.168 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.169 * [misc]taylor: Taking taylor expansion of k in k 1545556601.169 * [misc]backup-simplify: Simplify 0 into 0 1545556601.169 * [misc]backup-simplify: Simplify 1 into 1 1545556601.169 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.169 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.169 * [misc]backup-simplify: Simplify PI into PI 1545556601.169 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.169 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545556601.169 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545556601.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.169 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545556601.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.169 * [misc]taylor: Taking taylor expansion of k in k 1545556601.169 * [misc]backup-simplify: Simplify 0 into 0 1545556601.169 * [misc]backup-simplify: Simplify 1 into 1 1545556601.169 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.169 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.169 * [misc]backup-simplify: Simplify PI into PI 1545556601.169 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.170 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545556601.170 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.170 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.170 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.171 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.173 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.173 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545556601.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.173 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556601.175 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1545556601.179 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545556601.179 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545556601.181 * [misc]backup-simplify: Simplify 0 into 0 1545556601.185 * [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 1545556601.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545556601.186 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556601.187 * [misc]backup-simplify: Simplify 0 into 0 1545556601.193 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556601.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545556601.194 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.194 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556601.196 * [misc]backup-simplify: Simplify 0 into 0 1545556601.206 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556601.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1545556601.206 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.206 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556601.208 * [misc]backup-simplify: Simplify 0 into 0 1545556601.227 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556601.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1545556601.228 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.228 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.232 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556601.232 * [misc]backup-simplify: Simplify 0 into 0 1545556601.271 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556601.272 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1545556601.272 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.272 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.278 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556601.278 * [misc]backup-simplify: Simplify 0 into 0 1545556601.279 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556601.280 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545556601.280 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1545556601.280 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of k in k 1545556601.280 * [misc]backup-simplify: Simplify 0 into 0 1545556601.280 * [misc]backup-simplify: Simplify 1 into 1 1545556601.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.280 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.280 * [misc]backup-simplify: Simplify PI into PI 1545556601.280 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.280 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545556601.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.281 * [misc]taylor: Taking taylor expansion of k in k 1545556601.281 * [misc]backup-simplify: Simplify 0 into 0 1545556601.281 * [misc]backup-simplify: Simplify 1 into 1 1545556601.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.281 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.281 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.281 * [misc]backup-simplify: Simplify PI into PI 1545556601.281 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.281 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.281 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545556601.281 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545556601.282 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556601.282 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545556601.283 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.284 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556601.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545556601.284 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.284 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.284 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545556601.285 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.287 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.287 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545556601.288 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.288 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545556601.289 * [misc]backup-simplify: Simplify 0 into 0 1545556601.292 * [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 1545556601.293 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.293 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545556601.293 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.293 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.294 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556601.294 * [misc]backup-simplify: Simplify 0 into 0 1545556601.301 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556601.301 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.301 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545556601.301 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.301 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.303 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556601.303 * [misc]backup-simplify: Simplify 0 into 0 1545556601.317 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556601.318 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.318 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545556601.318 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.321 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556601.321 * [misc]backup-simplify: Simplify 0 into 0 1545556601.348 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556601.348 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.349 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545556601.349 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.349 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.353 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556601.353 * [misc]backup-simplify: Simplify 0 into 0 1545556601.382 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556601.382 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.382 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545556601.382 * [misc]backup-simplify: Simplify (- 0) into 0 1545556601.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.385 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556601.385 * [misc]backup-simplify: Simplify 0 into 0 1545556601.386 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556601.386 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545556601.386 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1545556601.386 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556601.386 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.386 * [misc]taylor: Taking taylor expansion of k in k 1545556601.386 * [misc]backup-simplify: Simplify 0 into 0 1545556601.386 * [misc]backup-simplify: Simplify 1 into 1 1545556601.386 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.386 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.386 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.386 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.386 * [misc]backup-simplify: Simplify PI into PI 1545556601.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.387 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545556601.387 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545556601.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545556601.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545556601.387 * [misc]taylor: Taking taylor expansion of k in k 1545556601.387 * [misc]backup-simplify: Simplify 0 into 0 1545556601.387 * [misc]backup-simplify: Simplify 1 into 1 1545556601.387 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545556601.387 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545556601.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545556601.387 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545556601.387 * [misc]taylor: Taking taylor expansion of PI in k 1545556601.387 * [misc]backup-simplify: Simplify PI into PI 1545556601.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545556601.387 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545556601.387 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545556601.388 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.388 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.389 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545556601.389 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545556601.390 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1545556601.390 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1545556601.390 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1545556601.390 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545556601.393 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545556601.393 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1545556601.393 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1545556601.394 * [misc]backup-simplify: Simplify 0 into 0 1545556601.398 * [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 1545556601.398 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.398 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1545556601.398 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.400 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545556601.400 * [misc]backup-simplify: Simplify 0 into 0 1545556601.411 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1545556601.412 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.412 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1545556601.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.415 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1545556601.415 * [misc]backup-simplify: Simplify 0 into 0 1545556601.432 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1545556601.433 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1545556601.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.438 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1545556601.439 * [misc]backup-simplify: Simplify 0 into 0 1545556601.465 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1545556601.466 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1545556601.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1545556601.470 * [misc]backup-simplify: Simplify 0 into 0 1545556601.509 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1545556601.510 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545556601.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1545556601.511 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545556601.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1545556601.515 * [misc]backup-simplify: Simplify 0 into 0 1545556601.516 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556601.517 * * * [misc]progress: simplifying candidates 1545556601.517 * * * * [misc]progress: [ 1 / 104 ] simplifiying candidate # 1545556601.517 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556601.517 * * [misc]simplify: iters left: 6 (9 enodes) 1545556601.521 * * [misc]simplify: iters left: 5 (16 enodes) 1545556601.525 * * [misc]simplify: iters left: 4 (32 enodes) 1545556601.531 * * [misc]simplify: iters left: 3 (68 enodes) 1545556601.546 * * [misc]simplify: iters left: 2 (171 enodes) 1545556601.609 * * [misc]simplify: iters left: 1 (342 enodes) 1545556601.749 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545556601.749 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))) (sqrt k))) 1545556601.749 * * * * [misc]progress: [ 2 / 104 ] simplifiying candidate # 1545556601.749 * * * * [misc]progress: [ 3 / 104 ] simplifiying candidate # 1545556601.749 * [enter]simplify: Simplifying (* n 2) 1545556601.749 * * [misc]simplify: iters left: 2 (3 enodes) 1545556601.750 * * [misc]simplify: iters left: 1 (4 enodes) 1545556601.751 * [exit]simplify: Simplified to (* n 2) 1545556601.751 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))) (sqrt k))) 1545556601.751 * * * * [misc]progress: [ 4 / 104 ] simplifiying candidate # 1545556601.752 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545556601.752 * * [misc]simplify: iters left: 3 (6 enodes) 1545556601.754 * * [misc]simplify: iters left: 2 (7 enodes) 1545556601.756 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545556601.756 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))) (sqrt k))) 1545556601.756 * * * * [misc]progress: [ 5 / 104 ] simplifiying candidate # 1545556601.756 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556601.756 * * [misc]simplify: iters left: 5 (6 enodes) 1545556601.760 * * [misc]simplify: iters left: 4 (8 enodes) 1545556601.763 * * [misc]simplify: iters left: 3 (11 enodes) 1545556601.766 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556601.766 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log 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))) 1545556601.766 * * * * [misc]progress: [ 6 / 104 ] simplifiying candidate # 1545556601.766 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556601.766 * * [misc]simplify: iters left: 5 (6 enodes) 1545556601.768 * * [misc]simplify: iters left: 4 (8 enodes) 1545556601.769 * * [misc]simplify: iters left: 3 (11 enodes) 1545556601.770 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556601.770 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))) 1545556601.770 * * * * [misc]progress: [ 7 / 104 ] simplifiying candidate # 1545556601.770 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556601.770 * * [misc]simplify: iters left: 4 (5 enodes) 1545556601.771 * * [misc]simplify: iters left: 3 (7 enodes) 1545556601.772 * * [misc]simplify: iters left: 2 (10 enodes) 1545556601.773 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556601.773 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))) (sqrt k))) 1545556601.773 * * * * [misc]progress: [ 8 / 104 ] simplifiying candidate # 1545556601.773 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556601.773 * * [misc]simplify: iters left: 5 (7 enodes) 1545556601.774 * * [misc]simplify: iters left: 4 (10 enodes) 1545556601.776 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556601.776 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545556601.776 * * * * [misc]progress: [ 9 / 104 ] simplifiying candidate # 1545556601.776 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556601.776 * * [misc]simplify: iters left: 5 (7 enodes) 1545556601.777 * * [misc]simplify: iters left: 4 (10 enodes) 1545556601.778 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556601.778 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))) (sqrt k))) 1545556601.778 * * * * [misc]progress: [ 10 / 104 ] simplifiying candidate # 1545556601.778 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545556601.779 * * [misc]simplify: iters left: 5 (7 enodes) 1545556601.780 * * [misc]simplify: iters left: 4 (9 enodes) 1545556601.781 * * [misc]simplify: iters left: 3 (12 enodes) 1545556601.782 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545556601.782 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k))) 1545556601.782 * * * * [misc]progress: [ 11 / 104 ] simplifiying candidate # 1545556601.782 * * * * [misc]progress: [ 12 / 104 ] simplifiying candidate # 1545556601.782 * * * * [misc]progress: [ 13 / 104 ] simplifiying candidate # 1545556601.782 * * * * [misc]progress: [ 14 / 104 ] simplifiying candidate # 1545556601.782 * * * * [misc]progress: [ 15 / 104 ] simplifiying candidate # 1545556601.783 * * * * [misc]progress: [ 16 / 104 ] simplifiying candidate # 1545556601.783 * * * * [misc]progress: [ 17 / 104 ] simplifiying candidate # 1545556601.783 * * * * [misc]progress: [ 18 / 104 ] simplifiying candidate # 1545556601.783 * * * * [misc]progress: [ 19 / 104 ] simplifiying candidate # 1545556601.783 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545556601.783 * * [misc]simplify: iters left: 6 (16 enodes) 1545556601.786 * * [misc]simplify: iters left: 5 (31 enodes) 1545556601.791 * * [misc]simplify: iters left: 4 (66 enodes) 1545556601.808 * * [misc]simplify: iters left: 3 (209 enodes) 1545556601.957 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545556601.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545556601.957 * * * * [misc]progress: [ 20 / 104 ] simplifiying candidate # 1545556601.958 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545556601.958 * * [misc]simplify: iters left: 6 (16 enodes) 1545556601.961 * * [misc]simplify: iters left: 5 (31 enodes) 1545556601.966 * * [misc]simplify: iters left: 4 (66 enodes) 1545556601.988 * * [misc]simplify: iters left: 3 (209 enodes) 1545556602.106 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1545556602.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1545556602.106 * * * * [misc]progress: [ 21 / 104 ] simplifiying candidate # 1545556602.107 * [enter]simplify: Simplifying (- (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545556602.107 * * [misc]simplify: iters left: 6 (16 enodes) 1545556602.109 * * [misc]simplify: iters left: 5 (27 enodes) 1545556602.114 * * [misc]simplify: iters left: 4 (53 enodes) 1545556602.124 * * [misc]simplify: iters left: 3 (119 enodes) 1545556602.183 * * [misc]simplify: iters left: 2 (417 enodes) 1545556602.613 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556602.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556602.613 * * * * [misc]progress: [ 22 / 104 ] simplifiying candidate # 1545556602.613 * [enter]simplify: Simplifying (- (log (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (log (sqrt k))) 1545556602.613 * * [misc]simplify: iters left: 6 (17 enodes) 1545556602.618 * * [misc]simplify: iters left: 5 (30 enodes) 1545556602.627 * * [misc]simplify: iters left: 4 (43 enodes) 1545556602.639 * * [misc]simplify: iters left: 3 (58 enodes) 1545556602.655 * * [misc]simplify: iters left: 2 (89 enodes) 1545556602.702 * * [misc]simplify: iters left: 1 (277 enodes) 1545556603.036 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545556603.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545556603.036 * * * * [misc]progress: [ 23 / 104 ] simplifiying candidate # 1545556603.036 * * * * [misc]progress: [ 24 / 104 ] simplifiying candidate # 1545556603.036 * * * * [misc]progress: [ 25 / 104 ] simplifiying candidate # 1545556603.036 * [enter]simplify: Simplifying (/ (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log 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))) 1545556603.037 * * [misc]simplify: iters left: 6 (21 enodes) 1545556603.045 * * [misc]simplify: iters left: 5 (45 enodes) 1545556603.062 * * [misc]simplify: iters left: 4 (144 enodes) 1545556603.133 * * [misc]simplify: iters left: 3 (488 enodes) 1545556603.976 * [exit]simplify: Simplified to (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545556603.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1545556603.976 * * * * [misc]progress: [ 26 / 104 ] simplifiying candidate # 1545556603.977 * [enter]simplify: Simplifying (/ (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545556603.977 * * [misc]simplify: iters left: 6 (19 enodes) 1545556603.984 * * [misc]simplify: iters left: 5 (42 enodes) 1545556603.997 * * [misc]simplify: iters left: 4 (117 enodes) 1545556604.025 * * [misc]simplify: iters left: 3 (391 enodes) 1545556604.417 * [exit]simplify: Simplified to (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) 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)))))) 1545556604.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (sqrt k) 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)))))))) 1545556604.417 * * * * [misc]progress: [ 27 / 104 ] simplifiying candidate # 1545556604.417 * * * * [misc]progress: [ 28 / 104 ] simplifiying candidate # 1545556604.417 * * * * [misc]progress: [ 29 / 104 ] simplifiying candidate # 1545556604.417 * * * * [misc]progress: [ 30 / 104 ] simplifiying candidate # 1545556604.417 * * * * [misc]progress: [ 31 / 104 ] simplifiying candidate # 1545556604.418 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556604.418 * * [misc]simplify: iters left: 6 (13 enodes) 1545556604.422 * * [misc]simplify: iters left: 5 (21 enodes) 1545556604.428 * * [misc]simplify: iters left: 4 (30 enodes) 1545556604.437 * * [misc]simplify: iters left: 3 (46 enodes) 1545556604.450 * * [misc]simplify: iters left: 2 (92 enodes) 1545556604.476 * * [misc]simplify: iters left: 1 (146 enodes) 1545556604.516 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545556604.516 * [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))))) 1545556604.516 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556604.516 * * [misc]simplify: iters left: 6 (11 enodes) 1545556604.519 * * [misc]simplify: iters left: 5 (14 enodes) 1545556604.524 * * [misc]simplify: iters left: 4 (17 enodes) 1545556604.528 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545556604.528 * [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))))) 1545556604.528 * * * * [misc]progress: [ 32 / 104 ] simplifiying candidate # 1545556604.528 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545556604.528 * * [misc]simplify: iters left: 6 (12 enodes) 1545556604.530 * * [misc]simplify: iters left: 5 (18 enodes) 1545556604.532 * * [misc]simplify: iters left: 4 (27 enodes) 1545556604.536 * * [misc]simplify: iters left: 3 (43 enodes) 1545556604.544 * * [misc]simplify: iters left: 2 (84 enodes) 1545556604.555 * * [misc]simplify: iters left: 1 (126 enodes) 1545556604.581 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556604.581 * [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))))) 1545556604.581 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556604.582 * * [misc]simplify: iters left: 6 (11 enodes) 1545556604.585 * * [misc]simplify: iters left: 5 (14 enodes) 1545556604.589 * * [misc]simplify: iters left: 4 (17 enodes) 1545556604.594 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545556604.594 * [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))))) 1545556604.594 * * * * [misc]progress: [ 33 / 104 ] simplifiying candidate # 1545556604.595 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) 1545556604.595 * * [misc]simplify: iters left: 6 (11 enodes) 1545556604.598 * * [misc]simplify: iters left: 5 (19 enodes) 1545556604.604 * * [misc]simplify: iters left: 4 (32 enodes) 1545556604.614 * * [misc]simplify: iters left: 3 (54 enodes) 1545556604.630 * * [misc]simplify: iters left: 2 (95 enodes) 1545556604.645 * * [misc]simplify: iters left: 1 (133 enodes) 1545556604.663 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545556604.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556604.663 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556604.663 * * [misc]simplify: iters left: 6 (10 enodes) 1545556604.666 * * [misc]simplify: iters left: 5 (13 enodes) 1545556604.669 * * [misc]simplify: iters left: 4 (16 enodes) 1545556604.674 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545556604.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545556604.674 * * * * [misc]progress: [ 34 / 104 ] simplifiying candidate # 1545556604.674 * * * * [misc]progress: [ 35 / 104 ] simplifiying candidate # 1545556604.674 * * * * [misc]progress: [ 36 / 104 ] simplifiying candidate # 1545556604.674 * * * * [misc]progress: [ 37 / 104 ] simplifiying candidate # 1545556604.674 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545556604.674 * * [misc]simplify: iters left: 2 (3 enodes) 1545556604.675 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545556604.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) 1545556604.675 * * * * [misc]progress: [ 38 / 104 ] simplifiying candidate # 1545556604.675 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545556604.675 * * [misc]simplify: iters left: 2 (3 enodes) 1545556604.677 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545556604.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545556604.677 * * * * [misc]progress: [ 39 / 104 ] simplifiying candidate # 1545556604.677 * [enter]simplify: Simplifying (sqrt k) 1545556604.677 * * [misc]simplify: iters left: 1 (2 enodes) 1545556604.678 * [exit]simplify: Simplified to (sqrt k) 1545556604.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) 1) (sqrt k))) 1545556604.678 * * * * [misc]progress: [ 40 / 104 ] simplifiying candidate # 1545556604.678 * [enter]simplify: Simplifying (exp (* (log PI) (- 1/2 (/ k 2)))) 1545556604.678 * * [misc]simplify: iters left: 6 (9 enodes) 1545556604.681 * * [misc]simplify: iters left: 5 (15 enodes) 1545556604.684 * * [misc]simplify: iters left: 4 (24 enodes) 1545556604.688 * * [misc]simplify: iters left: 3 (40 enodes) 1545556604.697 * * [misc]simplify: iters left: 2 (79 enodes) 1545556604.718 * * [misc]simplify: iters left: 1 (117 enodes) 1545556604.743 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545556604.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545556604.743 * * * * [misc]progress: [ 41 / 104 ] simplifiying candidate # 1545556604.743 * [enter]simplify: Simplifying (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) 1545556604.743 * * [misc]simplify: iters left: 6 (13 enodes) 1545556604.747 * * [misc]simplify: iters left: 5 (22 enodes) 1545556604.753 * * [misc]simplify: iters left: 4 (31 enodes) 1545556604.762 * * [misc]simplify: iters left: 3 (47 enodes) 1545556604.776 * * [misc]simplify: iters left: 2 (90 enodes) 1545556604.802 * * [misc]simplify: iters left: 1 (136 enodes) 1545556604.837 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (pow PI (- 1/2 (/ k 2)))) 1545556604.837 * [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))))) 1545556604.837 * * * * [misc]progress: [ 42 / 104 ] simplifiying candidate # 1545556604.837 * [enter]simplify: Simplifying (* PI (* n 2)) 1545556604.837 * * [misc]simplify: iters left: 4 (5 enodes) 1545556604.839 * * [misc]simplify: iters left: 3 (9 enodes) 1545556604.842 * * [misc]simplify: iters left: 2 (15 enodes) 1545556604.846 * * [misc]simplify: iters left: 1 (17 enodes) 1545556604.850 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545556604.851 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))) 1545556604.851 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556604.851 * * [misc]simplify: iters left: 4 (5 enodes) 1545556604.852 * * [misc]simplify: iters left: 3 (7 enodes) 1545556604.855 * * [misc]simplify: iters left: 2 (10 enodes) 1545556604.857 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556604.857 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) 1545556604.858 * * * * [misc]progress: [ 43 / 104 ] simplifiying candidate # 1545556604.858 * [enter]simplify: Simplifying (* (exp (log PI)) (* n 2)) 1545556604.858 * * [misc]simplify: iters left: 4 (7 enodes) 1545556604.860 * * [misc]simplify: iters left: 3 (11 enodes) 1545556604.863 * * [misc]simplify: iters left: 2 (19 enodes) 1545556604.868 * * [misc]simplify: iters left: 1 (22 enodes) 1545556604.873 * [exit]simplify: Simplified to (* n (* 2 PI)) 1545556604.873 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1545556604.873 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556604.873 * * [misc]simplify: iters left: 4 (5 enodes) 1545556604.875 * * [misc]simplify: iters left: 3 (7 enodes) 1545556604.877 * * [misc]simplify: iters left: 2 (10 enodes) 1545556604.879 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556604.879 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k))) 1545556604.880 * * * * [misc]progress: [ 44 / 104 ] simplifiying candidate # 1545556604.880 * * * * [misc]progress: [ 45 / 104 ] simplifiying candidate # 1545556604.880 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545556604.880 * * [misc]simplify: iters left: 6 (13 enodes) 1545556604.885 * * [misc]simplify: iters left: 5 (24 enodes) 1545556604.894 * * [misc]simplify: iters left: 4 (51 enodes) 1545556604.907 * * [misc]simplify: iters left: 3 (139 enodes) 1545556604.963 * * [misc]simplify: iters left: 2 (419 enodes) 1545556605.211 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545556605.211 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545556605.211 * * * * [misc]progress: [ 46 / 104 ] simplifiying candidate # 1545556605.212 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1545556605.212 * * [misc]simplify: iters left: 6 (13 enodes) 1545556605.214 * * [misc]simplify: iters left: 5 (24 enodes) 1545556605.219 * * [misc]simplify: iters left: 4 (51 enodes) 1545556605.230 * * [misc]simplify: iters left: 3 (139 enodes) 1545556605.276 * * [misc]simplify: iters left: 2 (419 enodes) 1545556605.529 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) 1545556605.529 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))))) (sqrt k))) 1545556605.529 * * * * [misc]progress: [ 47 / 104 ] simplifiying candidate # 1545556605.529 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1545556605.529 * * [misc]simplify: iters left: 6 (13 enodes) 1545556605.533 * * [misc]simplify: iters left: 5 (20 enodes) 1545556605.540 * * [misc]simplify: iters left: 4 (38 enodes) 1545556605.554 * * [misc]simplify: iters left: 3 (81 enodes) 1545556605.598 * * [misc]simplify: iters left: 2 (245 enodes) 1545556605.778 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) 1545556605.778 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)))) (sqrt k))) 1545556605.778 * * * * [misc]progress: [ 48 / 104 ] simplifiying candidate # 1545556605.778 * * * * [misc]progress: [ 49 / 104 ] simplifiying candidate # 1545556605.778 * * * * [misc]progress: [ 50 / 104 ] simplifiying candidate # 1545556605.779 * [enter]simplify: Simplifying (* (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log 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))))) 1545556605.779 * * [misc]simplify: iters left: 6 (17 enodes) 1545556605.782 * * [misc]simplify: iters left: 5 (33 enodes) 1545556605.787 * * [misc]simplify: iters left: 4 (75 enodes) 1545556605.807 * * [misc]simplify: iters left: 3 (162 enodes) 1545556605.846 * * [misc]simplify: iters left: 2 (359 enodes) 1545556606.015 * [exit]simplify: Simplified to (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* n 2) (- 1/2 (/ k 2))) 3)) 1545556606.015 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* n 2) (- 1/2 (/ k 2))) 3))) (sqrt k))) 1545556606.015 * * * * [misc]progress: [ 51 / 104 ] simplifiying candidate # 1545556606.015 * * * * [misc]progress: [ 52 / 104 ] simplifiying candidate # 1545556606.015 * * * * [misc]progress: [ 53 / 104 ] simplifiying candidate # 1545556606.015 * * * * [misc]progress: [ 54 / 104 ] simplifiying candidate # 1545556606.015 * * * * [misc]progress: [ 55 / 104 ] simplifiying candidate # 1545556606.015 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556606.015 * * [misc]simplify: iters left: 5 (7 enodes) 1545556606.016 * * [misc]simplify: iters left: 4 (10 enodes) 1545556606.017 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556606.018 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545556606.018 * * * * [misc]progress: [ 56 / 104 ] simplifiying candidate # 1545556606.018 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545556606.018 * * [misc]simplify: iters left: 5 (7 enodes) 1545556606.019 * * [misc]simplify: iters left: 4 (10 enodes) 1545556606.021 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545556606.021 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))) (sqrt k))) 1545556606.021 * * * * [misc]progress: [ 57 / 104 ] simplifiying candidate # 1545556606.021 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545556606.021 * * [misc]simplify: iters left: 5 (6 enodes) 1545556606.023 * * [misc]simplify: iters left: 4 (8 enodes) 1545556606.025 * * [misc]simplify: iters left: 3 (11 enodes) 1545556606.028 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545556606.028 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.029 * * * * [misc]progress: [ 58 / 104 ] simplifiying candidate # 1545556606.029 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556606.029 * * [misc]simplify: iters left: 6 (9 enodes) 1545556606.032 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.035 * * [misc]simplify: iters left: 4 (15 enodes) 1545556606.039 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556606.039 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log 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))) 1545556606.039 * * * * [misc]progress: [ 59 / 104 ] simplifiying candidate # 1545556606.039 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556606.039 * * [misc]simplify: iters left: 6 (9 enodes) 1545556606.042 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.046 * * [misc]simplify: iters left: 4 (15 enodes) 1545556606.050 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545556606.050 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.050 * * * * [misc]progress: [ 60 / 104 ] simplifiying candidate # 1545556606.050 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545556606.050 * * [misc]simplify: iters left: 5 (8 enodes) 1545556606.053 * * [misc]simplify: iters left: 4 (11 enodes) 1545556606.056 * * [misc]simplify: iters left: 3 (14 enodes) 1545556606.060 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545556606.060 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.060 * * * * [misc]progress: [ 61 / 104 ] simplifiying candidate # 1545556606.060 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545556606.060 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.062 * * [misc]simplify: iters left: 3 (9 enodes) 1545556606.064 * * [misc]simplify: iters left: 2 (11 enodes) 1545556606.067 * * [misc]simplify: iters left: 1 (13 enodes) 1545556606.070 * [exit]simplify: Simplified to (sqrt PI) 1545556606.070 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.070 * * * * [misc]progress: [ 62 / 104 ] simplifiying candidate # 1545556606.070 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1545556606.070 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.072 * * [misc]simplify: iters left: 3 (9 enodes) 1545556606.074 * * [misc]simplify: iters left: 2 (11 enodes) 1545556606.077 * * [misc]simplify: iters left: 1 (13 enodes) 1545556606.080 * [exit]simplify: Simplified to (sqrt PI) 1545556606.080 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.080 * * * * [misc]progress: [ 63 / 104 ] simplifiying candidate # 1545556606.081 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545556606.081 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.083 * * [misc]simplify: iters left: 3 (8 enodes) 1545556606.089 * * [misc]simplify: iters left: 2 (9 enodes) 1545556606.092 * * [misc]simplify: iters left: 1 (12 enodes) 1545556606.095 * [exit]simplify: Simplified to (sqrt PI) 1545556606.095 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.095 * * * * [misc]progress: [ 64 / 104 ] simplifiying candidate # 1545556606.096 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1545556606.096 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.098 * * [misc]simplify: iters left: 3 (8 enodes) 1545556606.101 * * [misc]simplify: iters left: 2 (9 enodes) 1545556606.104 * * [misc]simplify: iters left: 1 (12 enodes) 1545556606.107 * [exit]simplify: Simplified to (sqrt PI) 1545556606.107 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (* (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.107 * * * * [misc]progress: [ 65 / 104 ] simplifiying candidate # 1545556606.108 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1545556606.108 * * [misc]simplify: iters left: 6 (11 enodes) 1545556606.111 * * [misc]simplify: iters left: 5 (17 enodes) 1545556606.116 * * [misc]simplify: iters left: 4 (26 enodes) 1545556606.124 * * [misc]simplify: iters left: 3 (42 enodes) 1545556606.137 * * [misc]simplify: iters left: 2 (81 enodes) 1545556606.154 * * [misc]simplify: iters left: 1 (119 enodes) 1545556606.167 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545556606.167 * [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 (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.167 * * * * [misc]progress: [ 66 / 104 ] simplifiying candidate # 1545556606.167 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1545556606.167 * * [misc]simplify: iters left: 6 (10 enodes) 1545556606.168 * * [misc]simplify: iters left: 5 (16 enodes) 1545556606.171 * * [misc]simplify: iters left: 4 (25 enodes) 1545556606.174 * * [misc]simplify: iters left: 3 (41 enodes) 1545556606.185 * * [misc]simplify: iters left: 2 (80 enodes) 1545556606.207 * * [misc]simplify: iters left: 1 (118 enodes) 1545556606.222 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545556606.222 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt k))) 1545556606.222 * * * * [misc]progress: [ 67 / 104 ] simplifiying candidate # 1545556606.222 * * * * [misc]progress: [ 68 / 104 ] simplifiying candidate # 1545556606.222 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545556606.222 * * [misc]simplify: iters left: 3 (6 enodes) 1545556606.223 * * [misc]simplify: iters left: 2 (7 enodes) 1545556606.224 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545556606.224 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))) 1545556606.224 * * * * [misc]progress: [ 69 / 104 ] simplifiying candidate # 1545556606.224 * * * * [misc]progress: [ 70 / 104 ] simplifiying candidate # 1545556606.225 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1545556606.225 * * [misc]simplify: iters left: 6 (8 enodes) 1545556606.226 * * [misc]simplify: iters left: 5 (11 enodes) 1545556606.227 * * [misc]simplify: iters left: 4 (20 enodes) 1545556606.230 * * [misc]simplify: iters left: 3 (30 enodes) 1545556606.236 * * [misc]simplify: iters left: 2 (45 enodes) 1545556606.241 * * [misc]simplify: iters left: 1 (53 enodes) 1545556606.247 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1545556606.248 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.248 * * * * [misc]progress: [ 71 / 104 ] simplifiying candidate # 1545556606.248 * * * * [misc]progress: [ 72 / 104 ] simplifiying candidate # 1545556606.248 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1545556606.248 * * [misc]simplify: iters left: 6 (10 enodes) 1545556606.249 * * [misc]simplify: iters left: 5 (13 enodes) 1545556606.251 * * [misc]simplify: iters left: 4 (16 enodes) 1545556606.253 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1545556606.253 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.253 * * * * [misc]progress: [ 73 / 104 ] simplifiying candidate # 1545556606.253 * * * * [misc]progress: [ 74 / 104 ] simplifiying candidate # 1545556606.253 * * * * [misc]progress: [ 75 / 104 ] simplifiying candidate # 1545556606.253 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1545556606.253 * * [misc]simplify: iters left: 6 (12 enodes) 1545556606.256 * * [misc]simplify: iters left: 5 (21 enodes) 1545556606.260 * * [misc]simplify: iters left: 4 (67 enodes) 1545556606.299 * * [misc]simplify: iters left: 3 (321 enodes) 1545556606.655 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1545556606.655 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.655 * * * * [misc]progress: [ 76 / 104 ] simplifiying candidate # 1545556606.655 * * * * [misc]progress: [ 77 / 104 ] simplifiying candidate # 1545556606.655 * * * * [misc]progress: [ 78 / 104 ] simplifiying candidate # 1545556606.655 * * * * [misc]progress: [ 79 / 104 ] simplifiying candidate # 1545556606.655 * * * * [misc]progress: [ 80 / 104 ] simplifiying candidate # 1545556606.655 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545556606.656 * * [misc]simplify: iters left: 6 (7 enodes) 1545556606.662 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.665 * * [misc]simplify: iters left: 4 (22 enodes) 1545556606.672 * * [misc]simplify: iters left: 3 (35 enodes) 1545556606.681 * * [misc]simplify: iters left: 2 (42 enodes) 1545556606.691 * * [misc]simplify: iters left: 1 (47 enodes) 1545556606.703 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545556606.703 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.703 * * * * [misc]progress: [ 81 / 104 ] simplifiying candidate # 1545556606.703 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1545556606.703 * * [misc]simplify: iters left: 6 (7 enodes) 1545556606.705 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.709 * * [misc]simplify: iters left: 4 (22 enodes) 1545556606.715 * * [misc]simplify: iters left: 3 (35 enodes) 1545556606.724 * * [misc]simplify: iters left: 2 (42 enodes) 1545556606.731 * * [misc]simplify: iters left: 1 (47 enodes) 1545556606.737 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1545556606.737 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.737 * * * * [misc]progress: [ 82 / 104 ] simplifiying candidate # 1545556606.737 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545556606.737 * * [misc]simplify: iters left: 6 (7 enodes) 1545556606.738 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.740 * * [misc]simplify: iters left: 4 (22 enodes) 1545556606.743 * * [misc]simplify: iters left: 3 (32 enodes) 1545556606.747 * * [misc]simplify: iters left: 2 (36 enodes) 1545556606.751 * * [misc]simplify: iters left: 1 (43 enodes) 1545556606.758 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545556606.758 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.758 * * * * [misc]progress: [ 83 / 104 ] simplifiying candidate # 1545556606.759 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1545556606.759 * * [misc]simplify: iters left: 6 (7 enodes) 1545556606.761 * * [misc]simplify: iters left: 5 (12 enodes) 1545556606.765 * * [misc]simplify: iters left: 4 (22 enodes) 1545556606.771 * * [misc]simplify: iters left: 3 (32 enodes) 1545556606.780 * * [misc]simplify: iters left: 2 (36 enodes) 1545556606.785 * * [misc]simplify: iters left: 1 (43 enodes) 1545556606.790 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1545556606.790 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.790 * * * * [misc]progress: [ 84 / 104 ] simplifiying candidate # 1545556606.791 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545556606.791 * * [misc]simplify: iters left: 5 (6 enodes) 1545556606.792 * * [misc]simplify: iters left: 4 (8 enodes) 1545556606.793 * * [misc]simplify: iters left: 3 (11 enodes) 1545556606.794 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545556606.794 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.794 * * * * [misc]progress: [ 85 / 104 ] simplifiying candidate # 1545556606.794 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545556606.795 * * [misc]simplify: iters left: 5 (6 enodes) 1545556606.795 * * [misc]simplify: iters left: 4 (8 enodes) 1545556606.797 * * [misc]simplify: iters left: 3 (11 enodes) 1545556606.798 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545556606.798 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.798 * * * * [misc]progress: [ 86 / 104 ] simplifiying candidate # 1545556606.798 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545556606.798 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.799 * * [misc]simplify: iters left: 3 (7 enodes) 1545556606.800 * * [misc]simplify: iters left: 2 (10 enodes) 1545556606.801 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545556606.801 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.801 * * * * [misc]progress: [ 87 / 104 ] simplifiying candidate # 1545556606.802 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1545556606.802 * * [misc]simplify: iters left: 4 (4 enodes) 1545556606.802 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1545556606.802 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.802 * * * * [misc]progress: [ 88 / 104 ] simplifiying candidate # 1545556606.802 * [enter]simplify: Simplifying (sqrt (log PI)) 1545556606.802 * * [misc]simplify: iters left: 2 (3 enodes) 1545556606.803 * [exit]simplify: Simplified to (sqrt (log PI)) 1545556606.803 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (k n) (/ (* (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.803 * * * * [misc]progress: [ 89 / 104 ] simplifiying candidate # 1545556606.803 * * * * [misc]progress: [ 90 / 104 ] simplifiying candidate # 1545556606.803 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1545556606.803 * * [misc]simplify: iters left: 6 (9 enodes) 1545556606.805 * * [misc]simplify: iters left: 5 (23 enodes) 1545556606.809 * * [misc]simplify: iters left: 4 (47 enodes) 1545556606.818 * * [misc]simplify: iters left: 3 (69 enodes) 1545556606.836 * * [misc]simplify: iters left: 2 (82 enodes) 1545556606.855 * * [misc]simplify: iters left: 1 (105 enodes) 1545556606.891 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1545556606.891 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.891 * * * * [misc]progress: [ 91 / 104 ] simplifiying candidate # 1545556606.892 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1545556606.892 * * [misc]simplify: iters left: 4 (5 enodes) 1545556606.893 * * [misc]simplify: iters left: 3 (6 enodes) 1545556606.895 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1545556606.895 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (/ (* (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556606.895 * * * * [misc]progress: [ 92 / 104 ] simplifiying candidate # 1545556606.895 * * * * [misc]progress: [ 93 / 104 ] simplifiying candidate # 1545556606.896 * [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))))) 1545556606.896 * * [misc]simplify: iters left: 6 (35 enodes) 1545556606.910 * * [misc]simplify: iters left: 5 (99 enodes) 1545556606.946 * * [misc]simplify: iters left: 4 (298 enodes) 1545556607.117 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1545556607.117 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))) (sqrt k))) 1545556607.117 * * * * [misc]progress: [ 94 / 104 ] simplifiying candidate # 1545556607.117 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545556607.117 * * [misc]simplify: iters left: 6 (13 enodes) 1545556607.128 * * [misc]simplify: iters left: 5 (27 enodes) 1545556607.137 * * [misc]simplify: iters left: 4 (53 enodes) 1545556607.154 * * [misc]simplify: iters left: 3 (116 enodes) 1545556607.214 * * [misc]simplify: iters left: 2 (362 enodes) 1545556607.427 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545556607.427 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (sqrt (* n 2)) (- 1 k))) (sqrt k))) 1545556607.427 * * * * [misc]progress: [ 95 / 104 ] simplifiying candidate # 1545556607.427 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545556607.427 * * [misc]simplify: iters left: 6 (13 enodes) 1545556607.430 * * [misc]simplify: iters left: 5 (24 enodes) 1545556607.435 * * [misc]simplify: iters left: 4 (54 enodes) 1545556607.445 * * [misc]simplify: iters left: 3 (143 enodes) 1545556607.509 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545556607.509 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))) (sqrt k))) 1545556607.509 * * * * [misc]progress: [ 96 / 104 ] simplifiying candidate # 1545556607.510 * [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))))))))))))))) 1545556607.510 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556607.510 * * * * [misc]progress: [ 97 / 104 ] simplifiying candidate # 1545556607.510 * [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)))))))) 1545556607.510 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556607.510 * * * * [misc]progress: [ 98 / 104 ] simplifiying candidate # 1545556607.510 * [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)))))))) 1545556607.510 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545556607.510 * * * * [misc]progress: [ 99 / 104 ] simplifiying candidate # 1545556607.511 * [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))))))))))) 1545556607.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (sqrt k))) 1545556607.511 * * * * [misc]progress: [ 100 / 104 ] simplifiying candidate # 1545556607.511 * [enter]simplify: Simplifying (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1545556607.511 * * [misc]simplify: iters left: 6 (16 enodes) 1545556607.518 * * [misc]simplify: iters left: 5 (31 enodes) 1545556607.528 * * [misc]simplify: iters left: 4 (57 enodes) 1545556607.547 * * [misc]simplify: iters left: 3 (120 enodes) 1545556607.602 * * [misc]simplify: iters left: 2 (374 enodes) 1545556607.924 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) 1545556607.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1545556607.925 * * * * [misc]progress: [ 101 / 104 ] simplifiying candidate # 1545556607.925 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) 1545556607.925 * * [misc]simplify: iters left: 6 (16 enodes) 1545556607.931 * * [misc]simplify: iters left: 5 (28 enodes) 1545556607.941 * * [misc]simplify: iters left: 4 (58 enodes) 1545556607.961 * * [misc]simplify: iters left: 3 (147 enodes) 1545556608.030 * [exit]simplify: Simplified to (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) 1545556608.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))) 1545556608.030 * * * * [misc]progress: [ 102 / 104 ] simplifiying candidate # 1545556608.030 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556608.030 * * [misc]simplify: iters left: 6 (8 enodes) 1545556608.033 * * [misc]simplify: iters left: 5 (16 enodes) 1545556608.039 * * [misc]simplify: iters left: 4 (36 enodes) 1545556608.052 * * [misc]simplify: iters left: 3 (60 enodes) 1545556608.064 * * [misc]simplify: iters left: 2 (72 enodes) 1545556608.075 * * [misc]simplify: iters left: 1 (87 enodes) 1545556608.092 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556608.092 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556608.092 * * * * [misc]progress: [ 103 / 104 ] simplifiying candidate # 1545556608.092 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556608.092 * * [misc]simplify: iters left: 6 (8 enodes) 1545556608.093 * * [misc]simplify: iters left: 5 (16 enodes) 1545556608.097 * * [misc]simplify: iters left: 4 (36 enodes) 1545556608.109 * * [misc]simplify: iters left: 3 (60 enodes) 1545556608.126 * * [misc]simplify: iters left: 2 (72 enodes) 1545556608.144 * * [misc]simplify: iters left: 1 (87 enodes) 1545556608.179 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556608.179 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556608.179 * * * * [misc]progress: [ 104 / 104 ] simplifiying candidate # 1545556608.180 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1545556608.180 * * [misc]simplify: iters left: 6 (8 enodes) 1545556608.183 * * [misc]simplify: iters left: 5 (16 enodes) 1545556608.191 * * [misc]simplify: iters left: 4 (36 enodes) 1545556608.203 * * [misc]simplify: iters left: 3 (60 enodes) 1545556608.220 * * [misc]simplify: iters left: 2 (72 enodes) 1545556608.236 * * [misc]simplify: iters left: 1 (87 enodes) 1545556608.254 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1545556608.254 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (- 1/2 (* k 1/2)) (log PI))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545556608.254 * * * [misc]progress: adding candidates to table 1545556609.885 * [misc]progress: [Phase 3 of 3] Extracting. 1545556609.885 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545556609.887 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545556609.887 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545556609.949 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545556610.012 * * * [misc]regime: Found split indices: #