1540331877.482 * [misc]progress: [Phase 1 of 3] Setting up. 1540331877.482 * * * [misc]progress: [1/2] Preparing points 1540331877.482 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540331877.604 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.605 * * * * [misc]points: Sampling 194 additional inputs, on iter 1 have 62 / 256 1540331877.745 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.745 * * * * [misc]points: Sampling 153 additional inputs, on iter 2 have 103 / 256 1540331877.820 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.821 * * * * [misc]points: Sampling 107 additional inputs, on iter 3 have 149 / 256 1540331877.873 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.873 * * * * [misc]points: Sampling 75 additional inputs, on iter 4 have 181 / 256 1540331877.962 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.962 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1540331877.998 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331877.998 * * * * [misc]points: Sampling 44 additional inputs, on iter 6 have 212 / 256 1540331878.023 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.023 * * * * [misc]points: Sampling 34 additional inputs, on iter 7 have 222 / 256 1540331878.044 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.044 * * * * [misc]points: Sampling 28 additional inputs, on iter 8 have 228 / 256 1540331878.062 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.062 * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 1540331878.078 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.078 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1540331878.090 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.090 * * * * [misc]points: Sampling 10 additional inputs, on iter 11 have 246 / 256 1540331878.100 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.100 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1540331878.108 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.108 * * * * [misc]points: Sampling 6 additional inputs, on iter 13 have 250 / 256 1540331878.116 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.116 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1540331878.124 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.124 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1540331878.168 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.169 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1540331878.175 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.175 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1540331878.186 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.186 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1540331878.193 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.193 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1540331878.201 * * * * [misc]points: Filtering points with unrepresentable outputs 1540331878.201 * * * * [exit]points: Sampled 257 points with exact outputs 1540331878.201 * * * [misc]progress: [2/2] Setting up program. 1540331878.212 * [misc]progress: [Phase 2 of 3] Improving. 1540331878.213 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540331878.214 * * [misc]simplify: iters left: 6 (13 enodes) 1540331878.223 * * [misc]simplify: iters left: 5 (28 enodes) 1540331878.234 * * [misc]simplify: iters left: 4 (44 enodes) 1540331878.251 * * [misc]simplify: iters left: 3 (54 enodes) 1540331878.266 * * [misc]simplify: iters left: 2 (57 enodes) 1540331878.283 * * [misc]simplify: iters left: 1 (65 enodes) 1540331878.305 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540331878.337 * * [misc]progress: iteration 1 / 4 1540331878.337 * * * [misc]progress: picking best candidate 1540331878.358 * * * * [misc]pick: Picked # 1540331878.358 * * * [misc]progress: localizing error 1540331878.410 * * * [misc]progress: generating rewritten candidates 1540331878.410 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540331878.454 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540331878.488 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540331878.574 * * * [misc]progress: generating series expansions 1540331878.574 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540331878.574 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540331878.574 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540331878.574 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331878.574 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331878.574 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331878.574 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331878.574 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.574 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331878.574 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.574 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.575 * [misc]taylor: Taking taylor expansion of k in k 1540331878.575 * [misc]backup-simplify: Simplify 0 into 0 1540331878.575 * [misc]backup-simplify: Simplify 1 into 1 1540331878.575 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331878.575 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331878.575 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.575 * [misc]backup-simplify: Simplify 2 into 2 1540331878.575 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331878.575 * [misc]taylor: Taking taylor expansion of n in k 1540331878.575 * [misc]backup-simplify: Simplify n into n 1540331878.575 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.575 * [misc]backup-simplify: Simplify PI into PI 1540331878.575 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331878.575 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331878.575 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331878.576 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331878.576 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.576 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.576 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331878.577 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331878.577 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.577 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.577 * [misc]taylor: Taking taylor expansion of k in n 1540331878.577 * [misc]backup-simplify: Simplify k into k 1540331878.577 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.577 * [misc]backup-simplify: Simplify 2 into 2 1540331878.577 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.577 * [misc]taylor: Taking taylor expansion of n in n 1540331878.577 * [misc]backup-simplify: Simplify 0 into 0 1540331878.577 * [misc]backup-simplify: Simplify 1 into 1 1540331878.577 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.577 * [misc]backup-simplify: Simplify PI into PI 1540331878.578 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331878.578 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331878.579 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331878.579 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331878.580 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.580 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331878.580 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331878.580 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331878.581 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.582 * [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)))) 1540331878.582 * [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))))) 1540331878.582 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.583 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.583 * [misc]taylor: Taking taylor expansion of k in n 1540331878.583 * [misc]backup-simplify: Simplify k into k 1540331878.583 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.583 * [misc]backup-simplify: Simplify 2 into 2 1540331878.583 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.583 * [misc]taylor: Taking taylor expansion of n in n 1540331878.583 * [misc]backup-simplify: Simplify 0 into 0 1540331878.583 * [misc]backup-simplify: Simplify 1 into 1 1540331878.583 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.583 * [misc]backup-simplify: Simplify PI into PI 1540331878.583 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331878.584 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331878.584 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331878.585 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331878.585 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.586 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331878.586 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331878.586 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331878.586 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.587 * [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)))) 1540331878.588 * [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))))) 1540331878.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.588 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.588 * [misc]taylor: Taking taylor expansion of k in k 1540331878.588 * [misc]backup-simplify: Simplify 0 into 0 1540331878.588 * [misc]backup-simplify: Simplify 1 into 1 1540331878.588 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of n in k 1540331878.588 * [misc]backup-simplify: Simplify n into n 1540331878.588 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331878.588 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331878.588 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.589 * [misc]backup-simplify: Simplify 2 into 2 1540331878.589 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.589 * [misc]backup-simplify: Simplify PI into PI 1540331878.589 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.590 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.590 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331878.590 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.590 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.591 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.591 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540331878.592 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540331878.593 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540331878.594 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331878.595 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331878.598 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331878.599 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540331878.599 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.599 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.600 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540331878.602 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331878.602 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.602 * [misc]backup-simplify: Simplify 0 into 0 1540331878.602 * [misc]backup-simplify: Simplify 0 into 0 1540331878.608 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540331878.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331878.612 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331878.612 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.613 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331878.613 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331878.613 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331878.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540331878.616 * [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))))))) 1540331878.618 * [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))))))) 1540331878.620 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.621 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540331878.627 * [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 1540331878.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540331878.628 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.628 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.629 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.629 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331878.632 * [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 1540331878.632 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.632 * [misc]backup-simplify: Simplify 0 into 0 1540331878.632 * [misc]backup-simplify: Simplify 0 into 0 1540331878.632 * [misc]backup-simplify: Simplify 0 into 0 1540331878.634 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540331878.635 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.641 * [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 1540331878.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.641 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331878.641 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.641 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.642 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331878.646 * [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))))) 1540331878.650 * [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))))) 1540331878.658 * [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))))) 1540331878.659 * [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)))) 1540331878.659 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540331878.659 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.659 * [misc]taylor: Taking taylor expansion of k in k 1540331878.659 * [misc]backup-simplify: Simplify 0 into 0 1540331878.659 * [misc]backup-simplify: Simplify 1 into 1 1540331878.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.660 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331878.660 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331878.660 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.660 * [misc]backup-simplify: Simplify 2 into 2 1540331878.660 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331878.660 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.660 * [misc]backup-simplify: Simplify PI into PI 1540331878.660 * [misc]taylor: Taking taylor expansion of n in k 1540331878.660 * [misc]backup-simplify: Simplify n into n 1540331878.660 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331878.660 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331878.660 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331878.661 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331878.661 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331878.661 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331878.661 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331878.661 * [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)))) 1540331878.661 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.662 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.662 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of k in n 1540331878.662 * [misc]backup-simplify: Simplify k into k 1540331878.662 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.662 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.662 * [misc]backup-simplify: Simplify 2 into 2 1540331878.662 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.662 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.662 * [misc]backup-simplify: Simplify PI into PI 1540331878.662 * [misc]taylor: Taking taylor expansion of n in n 1540331878.662 * [misc]backup-simplify: Simplify 0 into 0 1540331878.662 * [misc]backup-simplify: Simplify 1 into 1 1540331878.663 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.663 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.664 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.664 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331878.664 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331878.664 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331878.665 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331878.666 * [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))) 1540331878.667 * [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)))) 1540331878.667 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of k in n 1540331878.667 * [misc]backup-simplify: Simplify k into k 1540331878.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.667 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.667 * [misc]backup-simplify: Simplify 2 into 2 1540331878.667 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.667 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.667 * [misc]backup-simplify: Simplify PI into PI 1540331878.667 * [misc]taylor: Taking taylor expansion of n in n 1540331878.667 * [misc]backup-simplify: Simplify 0 into 0 1540331878.667 * [misc]backup-simplify: Simplify 1 into 1 1540331878.668 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.668 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.669 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.669 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331878.669 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331878.669 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331878.670 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331878.670 * [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))) 1540331878.671 * [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)))) 1540331878.671 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540331878.671 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540331878.671 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331878.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331878.671 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.672 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.672 * [misc]taylor: Taking taylor expansion of k in k 1540331878.672 * [misc]backup-simplify: Simplify 0 into 0 1540331878.672 * [misc]backup-simplify: Simplify 1 into 1 1540331878.672 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.672 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540331878.672 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331878.672 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331878.672 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.672 * [misc]backup-simplify: Simplify 2 into 2 1540331878.672 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.672 * [misc]backup-simplify: Simplify PI into PI 1540331878.672 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.673 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.673 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331878.673 * [misc]taylor: Taking taylor expansion of n in k 1540331878.673 * [misc]backup-simplify: Simplify n into n 1540331878.673 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331878.673 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331878.673 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331878.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331878.674 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331878.674 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540331878.675 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540331878.676 * [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)))) 1540331878.676 * [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)))) 1540331878.678 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331878.678 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331878.681 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331878.682 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331878.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331878.682 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331878.684 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540331878.685 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331878.685 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.686 * [misc]backup-simplify: Simplify 0 into 0 1540331878.686 * [misc]backup-simplify: Simplify 0 into 0 1540331878.686 * [misc]backup-simplify: Simplify 0 into 0 1540331878.687 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.694 * [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 1540331878.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331878.695 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331878.697 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540331878.699 * [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 1540331878.699 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.699 * [misc]backup-simplify: Simplify 0 into 0 1540331878.699 * [misc]backup-simplify: Simplify 0 into 0 1540331878.699 * [misc]backup-simplify: Simplify 0 into 0 1540331878.699 * [misc]backup-simplify: Simplify 0 into 0 1540331878.701 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.703 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.712 * [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 1540331878.712 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331878.713 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331878.715 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540331878.718 * [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 1540331878.718 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.718 * [misc]backup-simplify: Simplify 0 into 0 1540331878.719 * [misc]backup-simplify: Simplify 0 into 0 1540331878.719 * [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))))) 1540331878.720 * [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)) 1540331878.720 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540331878.720 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of k in k 1540331878.720 * [misc]backup-simplify: Simplify 0 into 0 1540331878.720 * [misc]backup-simplify: Simplify 1 into 1 1540331878.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.720 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of -2 in k 1540331878.720 * [misc]backup-simplify: Simplify -2 into -2 1540331878.720 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331878.720 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.720 * [misc]backup-simplify: Simplify PI into PI 1540331878.720 * [misc]taylor: Taking taylor expansion of n in k 1540331878.720 * [misc]backup-simplify: Simplify n into n 1540331878.721 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331878.721 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331878.721 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331878.721 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331878.721 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.721 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331878.722 * [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))) 1540331878.722 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of k in n 1540331878.722 * [misc]backup-simplify: Simplify k into k 1540331878.722 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.722 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of -2 in n 1540331878.722 * [misc]backup-simplify: Simplify -2 into -2 1540331878.722 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.722 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.722 * [misc]backup-simplify: Simplify PI into PI 1540331878.722 * [misc]taylor: Taking taylor expansion of n in n 1540331878.722 * [misc]backup-simplify: Simplify 0 into 0 1540331878.722 * [misc]backup-simplify: Simplify 1 into 1 1540331878.723 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.724 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331878.724 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331878.724 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331878.724 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331878.725 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331878.726 * [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))) 1540331878.727 * [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)))) 1540331878.727 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of k in n 1540331878.727 * [misc]backup-simplify: Simplify k into k 1540331878.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.727 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of -2 in n 1540331878.727 * [misc]backup-simplify: Simplify -2 into -2 1540331878.727 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.727 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.727 * [misc]backup-simplify: Simplify PI into PI 1540331878.727 * [misc]taylor: Taking taylor expansion of n in n 1540331878.727 * [misc]backup-simplify: Simplify 0 into 0 1540331878.727 * [misc]backup-simplify: Simplify 1 into 1 1540331878.728 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.728 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331878.729 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331878.729 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331878.729 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331878.729 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331878.730 * [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))) 1540331878.731 * [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)))) 1540331878.731 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540331878.731 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540331878.731 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331878.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331878.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.731 * [misc]taylor: Taking taylor expansion of k in k 1540331878.731 * [misc]backup-simplify: Simplify 0 into 0 1540331878.731 * [misc]backup-simplify: Simplify 1 into 1 1540331878.732 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.732 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540331878.732 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540331878.732 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540331878.732 * [misc]taylor: Taking taylor expansion of -2 in k 1540331878.732 * [misc]backup-simplify: Simplify -2 into -2 1540331878.732 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.732 * [misc]backup-simplify: Simplify PI into PI 1540331878.732 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331878.733 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331878.733 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331878.733 * [misc]taylor: Taking taylor expansion of n in k 1540331878.733 * [misc]backup-simplify: Simplify n into n 1540331878.733 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331878.733 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331878.733 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.733 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331878.734 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540331878.734 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540331878.735 * [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)))) 1540331878.736 * [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)))) 1540331878.737 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331878.738 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331878.741 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540331878.741 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331878.741 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331878.741 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.742 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331878.743 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540331878.745 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331878.745 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.745 * [misc]backup-simplify: Simplify 0 into 0 1540331878.745 * [misc]backup-simplify: Simplify 0 into 0 1540331878.745 * [misc]backup-simplify: Simplify 0 into 0 1540331878.746 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.747 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.753 * [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 1540331878.753 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331878.754 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331878.756 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540331878.758 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540331878.758 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.758 * [misc]backup-simplify: Simplify 0 into 0 1540331878.758 * [misc]backup-simplify: Simplify 0 into 0 1540331878.758 * [misc]backup-simplify: Simplify 0 into 0 1540331878.758 * [misc]backup-simplify: Simplify 0 into 0 1540331878.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.764 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.774 * [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 1540331878.774 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331878.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331878.776 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540331878.780 * [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 1540331878.780 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.780 * [misc]backup-simplify: Simplify 0 into 0 1540331878.780 * [misc]backup-simplify: Simplify 0 into 0 1540331878.781 * [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))))) 1540331878.781 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540331878.782 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540331878.782 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540331878.782 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.782 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.782 * [misc]backup-simplify: Simplify 2 into 2 1540331878.782 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.782 * [misc]taylor: Taking taylor expansion of n in n 1540331878.782 * [misc]backup-simplify: Simplify 0 into 0 1540331878.782 * [misc]backup-simplify: Simplify 1 into 1 1540331878.782 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.782 * [misc]backup-simplify: Simplify PI into PI 1540331878.782 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.782 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.782 * [misc]backup-simplify: Simplify 2 into 2 1540331878.782 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.782 * [misc]taylor: Taking taylor expansion of n in n 1540331878.782 * [misc]backup-simplify: Simplify 0 into 0 1540331878.782 * [misc]backup-simplify: Simplify 1 into 1 1540331878.782 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.782 * [misc]backup-simplify: Simplify PI into PI 1540331878.783 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331878.783 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331878.783 * [misc]backup-simplify: Simplify 0 into 0 1540331878.784 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331878.785 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331878.785 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.786 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331878.788 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331878.788 * [misc]backup-simplify: Simplify 0 into 0 1540331878.789 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.791 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540331878.791 * [misc]backup-simplify: Simplify 0 into 0 1540331878.793 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331878.796 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540331878.796 * [misc]backup-simplify: Simplify 0 into 0 1540331878.798 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331878.801 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540331878.801 * [misc]backup-simplify: Simplify 0 into 0 1540331878.805 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331878.808 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540331878.809 * [misc]backup-simplify: Simplify 0 into 0 1540331878.813 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540331878.817 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540331878.817 * [misc]backup-simplify: Simplify 0 into 0 1540331878.818 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540331878.818 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540331878.818 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540331878.818 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331878.818 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.818 * [misc]backup-simplify: Simplify 2 into 2 1540331878.818 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.818 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.818 * [misc]backup-simplify: Simplify PI into PI 1540331878.818 * [misc]taylor: Taking taylor expansion of n in n 1540331878.818 * [misc]backup-simplify: Simplify 0 into 0 1540331878.818 * [misc]backup-simplify: Simplify 1 into 1 1540331878.819 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.819 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331878.819 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.819 * [misc]backup-simplify: Simplify 2 into 2 1540331878.819 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.819 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.819 * [misc]backup-simplify: Simplify PI into PI 1540331878.819 * [misc]taylor: Taking taylor expansion of n in n 1540331878.819 * [misc]backup-simplify: Simplify 0 into 0 1540331878.819 * [misc]backup-simplify: Simplify 1 into 1 1540331878.819 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.820 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331878.822 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331878.822 * [misc]backup-simplify: Simplify 0 into 0 1540331878.823 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.824 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.824 * [misc]backup-simplify: Simplify 0 into 0 1540331878.826 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.828 * [misc]backup-simplify: Simplify 0 into 0 1540331878.830 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.832 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331878.832 * [misc]backup-simplify: Simplify 0 into 0 1540331878.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331878.837 * [misc]backup-simplify: Simplify 0 into 0 1540331878.840 * [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 1540331878.843 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331878.844 * [misc]backup-simplify: Simplify 0 into 0 1540331878.844 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540331878.844 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540331878.844 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540331878.844 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331878.844 * [misc]taylor: Taking taylor expansion of -2 in n 1540331878.844 * [misc]backup-simplify: Simplify -2 into -2 1540331878.844 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.844 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.844 * [misc]backup-simplify: Simplify PI into PI 1540331878.844 * [misc]taylor: Taking taylor expansion of n in n 1540331878.844 * [misc]backup-simplify: Simplify 0 into 0 1540331878.844 * [misc]backup-simplify: Simplify 1 into 1 1540331878.845 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.845 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331878.845 * [misc]taylor: Taking taylor expansion of -2 in n 1540331878.845 * [misc]backup-simplify: Simplify -2 into -2 1540331878.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331878.845 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.845 * [misc]backup-simplify: Simplify PI into PI 1540331878.845 * [misc]taylor: Taking taylor expansion of n in n 1540331878.845 * [misc]backup-simplify: Simplify 0 into 0 1540331878.845 * [misc]backup-simplify: Simplify 1 into 1 1540331878.845 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331878.846 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331878.846 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331878.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331878.848 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331878.848 * [misc]backup-simplify: Simplify 0 into 0 1540331878.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.850 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.850 * [misc]backup-simplify: Simplify 0 into 0 1540331878.852 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.854 * [misc]backup-simplify: Simplify 0 into 0 1540331878.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.858 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331878.858 * [misc]backup-simplify: Simplify 0 into 0 1540331878.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.864 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331878.864 * [misc]backup-simplify: Simplify 0 into 0 1540331878.866 * [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 1540331878.870 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331878.870 * [misc]backup-simplify: Simplify 0 into 0 1540331878.870 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540331878.871 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540331878.871 * [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)))) 1540331878.871 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540331878.871 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540331878.871 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331878.872 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.872 * [misc]taylor: Taking taylor expansion of k in k 1540331878.872 * [misc]backup-simplify: Simplify 0 into 0 1540331878.872 * [misc]backup-simplify: Simplify 1 into 1 1540331878.872 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.872 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331878.873 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331878.873 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.873 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.873 * [misc]taylor: Taking taylor expansion of k in k 1540331878.873 * [misc]backup-simplify: Simplify 0 into 0 1540331878.873 * [misc]backup-simplify: Simplify 1 into 1 1540331878.873 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.873 * [misc]backup-simplify: Simplify 2 into 2 1540331878.873 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331878.873 * [misc]taylor: Taking taylor expansion of n in k 1540331878.873 * [misc]backup-simplify: Simplify n into n 1540331878.873 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.873 * [misc]backup-simplify: Simplify PI into PI 1540331878.873 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331878.873 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331878.874 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331878.874 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331878.874 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.874 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331878.875 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331878.875 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of k in n 1540331878.875 * [misc]backup-simplify: Simplify k into k 1540331878.875 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.875 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331878.875 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331878.875 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331878.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331878.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.875 * [misc]taylor: Taking taylor expansion of k in n 1540331878.876 * [misc]backup-simplify: Simplify k into k 1540331878.876 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331878.876 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.876 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.876 * [misc]backup-simplify: Simplify 2 into 2 1540331878.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.876 * [misc]taylor: Taking taylor expansion of n in n 1540331878.876 * [misc]backup-simplify: Simplify 0 into 0 1540331878.876 * [misc]backup-simplify: Simplify 1 into 1 1540331878.876 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.876 * [misc]backup-simplify: Simplify PI into PI 1540331878.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331878.876 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331878.877 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331878.878 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331878.878 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.878 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331878.879 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331878.879 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331878.879 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.880 * [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)))) 1540331878.881 * [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))))) 1540331878.881 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540331878.881 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331878.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331878.881 * [misc]taylor: Taking taylor expansion of k in n 1540331878.881 * [misc]backup-simplify: Simplify k into k 1540331878.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331878.881 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331878.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331878.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331878.882 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.882 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331878.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.882 * [misc]taylor: Taking taylor expansion of k in n 1540331878.882 * [misc]backup-simplify: Simplify k into k 1540331878.882 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of 2 in n 1540331878.882 * [misc]backup-simplify: Simplify 2 into 2 1540331878.882 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331878.882 * [misc]taylor: Taking taylor expansion of n in n 1540331878.882 * [misc]backup-simplify: Simplify 0 into 0 1540331878.882 * [misc]backup-simplify: Simplify 1 into 1 1540331878.882 * [misc]taylor: Taking taylor expansion of PI in n 1540331878.882 * [misc]backup-simplify: Simplify PI into PI 1540331878.883 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331878.883 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331878.883 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331878.884 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331878.885 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.885 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331878.885 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331878.885 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331878.886 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.887 * [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)))) 1540331878.887 * [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))))) 1540331878.888 * [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))) 1540331878.888 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540331878.888 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540331878.888 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540331878.888 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331878.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.889 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331878.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331878.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331878.889 * [misc]taylor: Taking taylor expansion of k in k 1540331878.889 * [misc]backup-simplify: Simplify 0 into 0 1540331878.889 * [misc]backup-simplify: Simplify 1 into 1 1540331878.889 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540331878.889 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331878.889 * [misc]taylor: Taking taylor expansion of n in k 1540331878.889 * [misc]backup-simplify: Simplify n into n 1540331878.889 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331878.889 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331878.889 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331878.889 * [misc]taylor: Taking taylor expansion of 2 in k 1540331878.889 * [misc]backup-simplify: Simplify 2 into 2 1540331878.889 * [misc]taylor: Taking taylor expansion of PI in k 1540331878.889 * [misc]backup-simplify: Simplify PI into PI 1540331878.889 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331878.890 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331878.890 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331878.890 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.890 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331878.891 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.892 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540331878.893 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540331878.893 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331878.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331878.893 * [misc]taylor: Taking taylor expansion of k in k 1540331878.893 * [misc]backup-simplify: Simplify 0 into 0 1540331878.893 * [misc]backup-simplify: Simplify 1 into 1 1540331878.893 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331878.893 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331878.894 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331878.894 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540331878.894 * [misc]backup-simplify: Simplify 0 into 0 1540331878.896 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331878.897 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331878.900 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331878.901 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540331878.901 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.901 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.902 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.902 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540331878.905 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331878.906 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540331878.906 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.906 * [misc]backup-simplify: Simplify 0 into 0 1540331878.907 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540331878.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331878.911 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331878.911 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.911 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331878.911 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331878.911 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331878.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540331878.916 * [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))))))) 1540331878.919 * [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))))))) 1540331878.919 * [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))))))) 1540331878.921 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331878.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540331878.929 * [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 1540331878.930 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540331878.930 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.931 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.932 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331878.934 * [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 1540331878.935 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.935 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540331878.936 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540331878.937 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.937 * [misc]backup-simplify: Simplify 0 into 0 1540331878.937 * [misc]backup-simplify: Simplify 0 into 0 1540331878.937 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331878.938 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331878.940 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540331878.941 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331878.947 * [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 1540331878.947 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.948 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331878.948 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331878.953 * [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))))) 1540331878.960 * [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)))))))) 1540331878.964 * [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)))))))) 1540331878.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331878.969 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540331878.978 * [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 1540331878.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540331878.979 * [misc]backup-simplify: Simplify (- 0) into 0 1540331878.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331878.980 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331878.981 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540331878.985 * [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 1540331878.985 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331878.986 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540331878.987 * [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 1540331878.987 * [misc]taylor: Taking taylor expansion of 0 in k 1540331878.987 * [misc]backup-simplify: Simplify 0 into 0 1540331878.987 * [misc]backup-simplify: Simplify 0 into 0 1540331878.987 * [misc]backup-simplify: Simplify 0 into 0 1540331878.988 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331878.989 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331878.992 * [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 1540331878.994 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331879.004 * [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 1540331879.004 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.005 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331879.005 * [misc]backup-simplify: Simplify (- 0) into 0 1540331879.005 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.006 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540331879.014 * [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))))))) 1540331879.035 * [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)))))))))))))) 1540331879.050 * [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)))))))))))))) 1540331879.073 * [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)))))))))))))))))))))) 1540331879.074 * [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))))) 1540331879.074 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540331879.074 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331879.074 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331879.074 * [misc]taylor: Taking taylor expansion of k in k 1540331879.074 * [misc]backup-simplify: Simplify 0 into 0 1540331879.074 * [misc]backup-simplify: Simplify 1 into 1 1540331879.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331879.075 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331879.075 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331879.075 * [misc]taylor: Taking taylor expansion of k in k 1540331879.075 * [misc]backup-simplify: Simplify 0 into 0 1540331879.075 * [misc]backup-simplify: Simplify 1 into 1 1540331879.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331879.076 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331879.076 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331879.076 * [misc]taylor: Taking taylor expansion of 2 in k 1540331879.076 * [misc]backup-simplify: Simplify 2 into 2 1540331879.076 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331879.076 * [misc]taylor: Taking taylor expansion of PI in k 1540331879.076 * [misc]backup-simplify: Simplify PI into PI 1540331879.076 * [misc]taylor: Taking taylor expansion of n in k 1540331879.076 * [misc]backup-simplify: Simplify n into n 1540331879.076 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331879.076 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331879.076 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331879.076 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331879.077 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331879.077 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331879.077 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331879.077 * [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)))) 1540331879.077 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331879.077 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331879.077 * [misc]taylor: Taking taylor expansion of k in n 1540331879.077 * [misc]backup-simplify: Simplify k into k 1540331879.078 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331879.078 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331879.078 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.078 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.078 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of k in n 1540331879.078 * [misc]backup-simplify: Simplify k into k 1540331879.078 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331879.078 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of 2 in n 1540331879.078 * [misc]backup-simplify: Simplify 2 into 2 1540331879.078 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331879.078 * [misc]taylor: Taking taylor expansion of PI in n 1540331879.078 * [misc]backup-simplify: Simplify PI into PI 1540331879.078 * [misc]taylor: Taking taylor expansion of n in n 1540331879.078 * [misc]backup-simplify: Simplify 0 into 0 1540331879.078 * [misc]backup-simplify: Simplify 1 into 1 1540331879.079 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331879.079 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331879.080 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331879.080 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331879.080 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331879.080 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331879.081 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331879.082 * [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))) 1540331879.082 * [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)))) 1540331879.082 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331879.082 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331879.082 * [misc]taylor: Taking taylor expansion of k in n 1540331879.082 * [misc]backup-simplify: Simplify k into k 1540331879.083 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331879.083 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331879.083 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of k in n 1540331879.083 * [misc]backup-simplify: Simplify k into k 1540331879.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331879.083 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331879.083 * [misc]taylor: Taking taylor expansion of 2 in n 1540331879.083 * [misc]backup-simplify: Simplify 2 into 2 1540331879.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331879.084 * [misc]taylor: Taking taylor expansion of PI in n 1540331879.084 * [misc]backup-simplify: Simplify PI into PI 1540331879.084 * [misc]taylor: Taking taylor expansion of n in n 1540331879.084 * [misc]backup-simplify: Simplify 0 into 0 1540331879.084 * [misc]backup-simplify: Simplify 1 into 1 1540331879.084 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331879.085 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331879.085 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331879.085 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331879.085 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331879.085 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331879.086 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331879.087 * [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))) 1540331879.088 * [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)))) 1540331879.089 * [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)) 1540331879.089 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.089 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.089 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of k in k 1540331879.089 * [misc]backup-simplify: Simplify 0 into 0 1540331879.089 * [misc]backup-simplify: Simplify 1 into 1 1540331879.089 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331879.089 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331879.089 * [misc]taylor: Taking taylor expansion of 2 in k 1540331879.089 * [misc]backup-simplify: Simplify 2 into 2 1540331879.089 * [misc]taylor: Taking taylor expansion of PI in k 1540331879.090 * [misc]backup-simplify: Simplify PI into PI 1540331879.090 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331879.090 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331879.090 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331879.090 * [misc]taylor: Taking taylor expansion of n in k 1540331879.090 * [misc]backup-simplify: Simplify n into n 1540331879.091 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331879.091 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331879.091 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331879.091 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331879.091 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331879.092 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540331879.092 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540331879.093 * [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)))) 1540331879.093 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331879.093 * [misc]taylor: Taking taylor expansion of k in k 1540331879.093 * [misc]backup-simplify: Simplify 0 into 0 1540331879.093 * [misc]backup-simplify: Simplify 1 into 1 1540331879.093 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331879.094 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331879.095 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540331879.095 * [misc]backup-simplify: Simplify 0 into 0 1540331879.096 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331879.097 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331879.100 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331879.100 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331879.100 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331879.101 * [misc]backup-simplify: Simplify (- 0) into 0 1540331879.101 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.102 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331879.102 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540331879.104 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331879.105 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540331879.105 * [misc]taylor: Taking taylor expansion of 0 in k 1540331879.105 * [misc]backup-simplify: Simplify 0 into 0 1540331879.105 * [misc]backup-simplify: Simplify 0 into 0 1540331879.106 * [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)))))) 1540331879.107 * [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)))))) 1540331879.109 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331879.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331879.116 * [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 1540331879.116 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331879.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331879.117 * [misc]backup-simplify: Simplify (- 0) into 0 1540331879.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.118 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331879.119 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540331879.121 * [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 1540331879.122 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540331879.123 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540331879.123 * [misc]taylor: Taking taylor expansion of 0 in k 1540331879.123 * [misc]backup-simplify: Simplify 0 into 0 1540331879.123 * [misc]backup-simplify: Simplify 0 into 0 1540331879.123 * [misc]backup-simplify: Simplify 0 into 0 1540331879.125 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331879.126 * [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)))))) 1540331879.126 * [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)))))) 1540331879.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331879.130 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331879.140 * [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 1540331879.140 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331879.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331879.141 * [misc]backup-simplify: Simplify (- 0) into 0 1540331879.141 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.142 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331879.143 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540331879.148 * [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 1540331879.148 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540331879.150 * [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 1540331879.150 * [misc]taylor: Taking taylor expansion of 0 in k 1540331879.150 * [misc]backup-simplify: Simplify 0 into 0 1540331879.150 * [misc]backup-simplify: Simplify 0 into 0 1540331879.150 * [misc]backup-simplify: Simplify 0 into 0 1540331879.150 * [misc]backup-simplify: Simplify 0 into 0 1540331879.151 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331879.152 * [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)))))) 1540331879.153 * [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)))))) 1540331879.157 * [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)))))))) 1540331879.157 * [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))) 1540331879.158 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540331879.158 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of k in k 1540331879.158 * [misc]backup-simplify: Simplify 0 into 0 1540331879.158 * [misc]backup-simplify: Simplify 1 into 1 1540331879.158 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331879.158 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.158 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of -2 in k 1540331879.158 * [misc]backup-simplify: Simplify -2 into -2 1540331879.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331879.158 * [misc]taylor: Taking taylor expansion of PI in k 1540331879.158 * [misc]backup-simplify: Simplify PI into PI 1540331879.159 * [misc]taylor: Taking taylor expansion of n in k 1540331879.159 * [misc]backup-simplify: Simplify n into n 1540331879.159 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331879.159 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331879.159 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331879.159 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331879.159 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331879.160 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331879.160 * [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))) 1540331879.160 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331879.160 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331879.160 * [misc]taylor: Taking taylor expansion of -1 in k 1540331879.160 * [misc]backup-simplify: Simplify -1 into -1 1540331879.160 * [misc]taylor: Taking taylor expansion of k in k 1540331879.160 * [misc]backup-simplify: Simplify 0 into 0 1540331879.160 * [misc]backup-simplify: Simplify 1 into 1 1540331879.160 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331879.160 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331879.161 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331879.161 * [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)))) 1540331879.162 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.162 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of k in n 1540331879.162 * [misc]backup-simplify: Simplify k into k 1540331879.162 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331879.162 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.162 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of -2 in n 1540331879.162 * [misc]backup-simplify: Simplify -2 into -2 1540331879.162 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331879.162 * [misc]taylor: Taking taylor expansion of PI in n 1540331879.162 * [misc]backup-simplify: Simplify PI into PI 1540331879.162 * [misc]taylor: Taking taylor expansion of n in n 1540331879.162 * [misc]backup-simplify: Simplify 0 into 0 1540331879.162 * [misc]backup-simplify: Simplify 1 into 1 1540331879.163 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331879.163 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331879.164 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331879.164 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331879.164 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331879.165 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331879.165 * [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))) 1540331879.166 * [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)))) 1540331879.166 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331879.166 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331879.166 * [misc]taylor: Taking taylor expansion of -1 in n 1540331879.166 * [misc]backup-simplify: Simplify -1 into -1 1540331879.166 * [misc]taylor: Taking taylor expansion of k in n 1540331879.166 * [misc]backup-simplify: Simplify k into k 1540331879.166 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331879.166 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331879.167 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331879.167 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331879.168 * [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))) 1540331879.168 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.168 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of k in n 1540331879.168 * [misc]backup-simplify: Simplify k into k 1540331879.168 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331879.168 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331879.168 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.168 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of -2 in n 1540331879.168 * [misc]backup-simplify: Simplify -2 into -2 1540331879.168 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331879.168 * [misc]taylor: Taking taylor expansion of PI in n 1540331879.168 * [misc]backup-simplify: Simplify PI into PI 1540331879.168 * [misc]taylor: Taking taylor expansion of n in n 1540331879.168 * [misc]backup-simplify: Simplify 0 into 0 1540331879.168 * [misc]backup-simplify: Simplify 1 into 1 1540331879.169 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331879.169 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331879.170 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331879.170 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331879.170 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331879.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331879.171 * [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))) 1540331879.172 * [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)))) 1540331879.172 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331879.172 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331879.172 * [misc]taylor: Taking taylor expansion of -1 in n 1540331879.172 * [misc]backup-simplify: Simplify -1 into -1 1540331879.172 * [misc]taylor: Taking taylor expansion of k in n 1540331879.172 * [misc]backup-simplify: Simplify k into k 1540331879.172 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331879.172 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331879.173 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331879.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331879.174 * [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))) 1540331879.174 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of k in k 1540331879.174 * [misc]backup-simplify: Simplify 0 into 0 1540331879.174 * [misc]backup-simplify: Simplify 1 into 1 1540331879.174 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331879.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331879.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331879.174 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540331879.174 * [misc]taylor: Taking taylor expansion of -2 in k 1540331879.174 * [misc]backup-simplify: Simplify -2 into -2 1540331879.174 * [misc]taylor: Taking taylor expansion of PI in k 1540331879.175 * [misc]backup-simplify: Simplify PI into PI 1540331879.175 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331879.175 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331879.175 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331879.175 * [misc]taylor: Taking taylor expansion of n in k 1540331879.176 * [misc]backup-simplify: Simplify n into n 1540331879.176 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331879.176 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331879.176 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331879.176 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331879.177 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540331879.177 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540331879.178 * [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)))) 1540331879.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331879.178 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331879.178 * [misc]taylor: Taking taylor expansion of -1 in k 1540331879.178 * [misc]backup-simplify: Simplify -1 into -1 1540331879.178 * [misc]taylor: Taking taylor expansion of k in k 1540331879.178 * [misc]backup-simplify: Simplify 0 into 0 1540331879.178 * [misc]backup-simplify: Simplify 1 into 1 1540331879.178 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331879.179 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331879.179 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331879.180 * [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))))) 1540331879.181 * [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))))) 1540331879.182 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331879.183 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331879.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540331879.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331879.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331879.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331879.188 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540331879.190 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331879.191 * [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 1540331879.191 * [misc]taylor: Taking taylor expansion of 0 in k 1540331879.191 * [misc]backup-simplify: Simplify 0 into 0 1540331879.191 * [misc]backup-simplify: Simplify 0 into 0 1540331879.191 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331879.193 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331879.194 * [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)))))) 1540331879.195 * [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)))))) 1540331879.197 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331879.198 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331879.204 * [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 1540331879.205 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331879.205 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331879.205 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331879.206 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331879.207 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540331879.209 * [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 1540331879.210 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331879.210 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540331879.212 * [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 1540331879.212 * [misc]taylor: Taking taylor expansion of 0 in k 1540331879.212 * [misc]backup-simplify: Simplify 0 into 0 1540331879.212 * [misc]backup-simplify: Simplify 0 into 0 1540331879.212 * [misc]backup-simplify: Simplify 0 into 0 1540331879.212 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331879.214 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331879.216 * [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)))))) 1540331879.217 * [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)))))) 1540331879.222 * [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))))))))))) 1540331879.222 * * * [misc]progress: simplifying candidates 1540331879.222 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1540331879.222 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1540331879.223 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1540331879.223 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540331879.224 * * [misc]simplify: iters left: 6 (11 enodes) 1540331879.230 * * [misc]simplify: iters left: 5 (21 enodes) 1540331879.241 * * [misc]simplify: iters left: 4 (47 enodes) 1540331879.271 * * [misc]simplify: iters left: 3 (113 enodes) 1540331879.369 * * [misc]simplify: iters left: 2 (328 enodes) 1540331879.937 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540331879.937 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540331879.937 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1540331879.937 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1540331879.937 * [enter]simplify: Simplifying (* PI (* n 2)) 1540331879.938 * * [misc]simplify: iters left: 4 (5 enodes) 1540331879.941 * * [misc]simplify: iters left: 3 (9 enodes) 1540331879.945 * * [misc]simplify: iters left: 2 (15 enodes) 1540331879.950 * * [misc]simplify: iters left: 1 (17 enodes) 1540331879.955 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540331879.955 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540331879.955 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1540331879.956 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540331879.956 * * [misc]simplify: iters left: 5 (8 enodes) 1540331879.960 * * [misc]simplify: iters left: 4 (12 enodes) 1540331879.965 * * [misc]simplify: iters left: 3 (18 enodes) 1540331879.971 * * [misc]simplify: iters left: 2 (20 enodes) 1540331879.978 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540331879.978 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540331879.978 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1540331879.978 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331879.979 * * [misc]simplify: iters left: 5 (6 enodes) 1540331879.981 * * [misc]simplify: iters left: 4 (8 enodes) 1540331879.984 * * [misc]simplify: iters left: 3 (11 enodes) 1540331879.988 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331879.988 * [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))) 1540331879.988 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1540331879.988 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331879.988 * * [misc]simplify: iters left: 5 (6 enodes) 1540331879.991 * * [misc]simplify: iters left: 4 (8 enodes) 1540331879.994 * * [misc]simplify: iters left: 3 (11 enodes) 1540331879.998 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331879.998 * [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))) 1540331879.998 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1540331879.998 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331879.999 * * [misc]simplify: iters left: 4 (5 enodes) 1540331880.002 * * [misc]simplify: iters left: 3 (7 enodes) 1540331880.005 * * [misc]simplify: iters left: 2 (10 enodes) 1540331880.008 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331880.008 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540331880.008 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1540331880.008 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331880.009 * * [misc]simplify: iters left: 5 (9 enodes) 1540331880.014 * * [misc]simplify: iters left: 4 (15 enodes) 1540331880.020 * * [misc]simplify: iters left: 3 (21 enodes) 1540331880.027 * * [misc]simplify: iters left: 2 (22 enodes) 1540331880.035 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331880.035 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540331880.035 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1540331880.035 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331880.036 * * [misc]simplify: iters left: 5 (9 enodes) 1540331880.041 * * [misc]simplify: iters left: 4 (15 enodes) 1540331880.047 * * [misc]simplify: iters left: 3 (21 enodes) 1540331880.054 * * [misc]simplify: iters left: 2 (22 enodes) 1540331880.062 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331880.062 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540331880.062 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1540331880.062 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540331880.063 * * [misc]simplify: iters left: 5 (7 enodes) 1540331880.066 * * [misc]simplify: iters left: 4 (9 enodes) 1540331880.070 * * [misc]simplify: iters left: 3 (12 enodes) 1540331880.077 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540331880.077 * [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))) 1540331880.077 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1540331880.077 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1540331880.078 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1540331880.078 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540331880.080 * * [misc]simplify: iters left: 6 (14 enodes) 1540331880.088 * * [misc]simplify: iters left: 5 (27 enodes) 1540331880.103 * * [misc]simplify: iters left: 4 (55 enodes) 1540331880.139 * * [misc]simplify: iters left: 3 (144 enodes) 1540331880.344 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540331880.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540331880.345 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1540331880.345 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540331880.346 * * [misc]simplify: iters left: 6 (14 enodes) 1540331880.353 * * [misc]simplify: iters left: 5 (27 enodes) 1540331880.367 * * [misc]simplify: iters left: 4 (55 enodes) 1540331880.403 * * [misc]simplify: iters left: 3 (144 enodes) 1540331880.609 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1540331880.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1540331880.609 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1540331880.610 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540331880.611 * * [misc]simplify: iters left: 6 (14 enodes) 1540331880.618 * * [misc]simplify: iters left: 5 (24 enodes) 1540331880.631 * * [misc]simplify: iters left: 4 (43 enodes) 1540331880.649 * * [misc]simplify: iters left: 3 (73 enodes) 1540331880.707 * * [misc]simplify: iters left: 2 (220 enodes) 1540331881.164 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1540331881.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1540331881.164 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1540331881.165 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1540331881.165 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1540331881.165 * [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))) 1540331881.167 * * [misc]simplify: iters left: 6 (16 enodes) 1540331881.175 * * [misc]simplify: iters left: 5 (31 enodes) 1540331881.191 * * [misc]simplify: iters left: 4 (67 enodes) 1540331881.225 * * [misc]simplify: iters left: 3 (124 enodes) 1540331881.283 * * [misc]simplify: iters left: 2 (195 enodes) 1540331881.391 * * [misc]simplify: iters left: 1 (309 enodes) 1540331881.644 * [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)))) 1540331881.644 * [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)))))) 1540331881.644 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1540331881.644 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1540331881.644 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1540331881.644 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1540331881.644 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1540331881.644 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331881.646 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.651 * * [misc]simplify: iters left: 5 (19 enodes) 1540331881.659 * * [misc]simplify: iters left: 4 (25 enodes) 1540331881.667 * * [misc]simplify: iters left: 3 (26 enodes) 1540331881.678 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331881.678 * [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))))) 1540331881.679 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540331881.680 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.685 * * [misc]simplify: iters left: 5 (18 enodes) 1540331881.692 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.699 * * [misc]simplify: iters left: 3 (25 enodes) 1540331881.708 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540331881.708 * [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))))) 1540331881.708 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1540331881.708 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540331881.709 * * [misc]simplify: iters left: 6 (11 enodes) 1540331881.714 * * [misc]simplify: iters left: 5 (16 enodes) 1540331881.720 * * [misc]simplify: iters left: 4 (22 enodes) 1540331881.728 * * [misc]simplify: iters left: 3 (24 enodes) 1540331881.736 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540331881.736 * [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))))) 1540331881.736 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540331881.737 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.742 * * [misc]simplify: iters left: 5 (18 enodes) 1540331881.749 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.757 * * [misc]simplify: iters left: 3 (25 enodes) 1540331881.765 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540331881.765 * [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))))) 1540331881.765 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1540331881.766 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540331881.766 * * [misc]simplify: iters left: 6 (9 enodes) 1540331881.771 * * [misc]simplify: iters left: 5 (16 enodes) 1540331881.778 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.785 * * [misc]simplify: iters left: 3 (26 enodes) 1540331881.792 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540331881.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540331881.793 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540331881.794 * * [misc]simplify: iters left: 6 (11 enodes) 1540331881.799 * * [misc]simplify: iters left: 5 (17 enodes) 1540331881.807 * * [misc]simplify: iters left: 4 (23 enodes) 1540331881.814 * * [misc]simplify: iters left: 3 (24 enodes) 1540331881.823 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540331881.823 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540331881.823 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1540331881.823 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331881.825 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.830 * * [misc]simplify: iters left: 5 (19 enodes) 1540331881.837 * * [misc]simplify: iters left: 4 (25 enodes) 1540331881.845 * * [misc]simplify: iters left: 3 (26 enodes) 1540331881.855 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331881.855 * [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))))) 1540331881.855 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540331881.856 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.861 * * [misc]simplify: iters left: 5 (18 enodes) 1540331881.868 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.876 * * [misc]simplify: iters left: 3 (25 enodes) 1540331881.884 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540331881.884 * [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))))) 1540331881.884 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1540331881.885 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540331881.886 * * [misc]simplify: iters left: 6 (11 enodes) 1540331881.890 * * [misc]simplify: iters left: 5 (16 enodes) 1540331881.897 * * [misc]simplify: iters left: 4 (22 enodes) 1540331881.904 * * [misc]simplify: iters left: 3 (24 enodes) 1540331881.912 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540331881.912 * [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))))) 1540331881.912 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540331881.913 * * [misc]simplify: iters left: 6 (12 enodes) 1540331881.918 * * [misc]simplify: iters left: 5 (18 enodes) 1540331881.925 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.935 * * [misc]simplify: iters left: 3 (25 enodes) 1540331881.943 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540331881.943 * [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))))) 1540331881.943 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1540331881.944 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540331881.944 * * [misc]simplify: iters left: 6 (9 enodes) 1540331881.949 * * [misc]simplify: iters left: 5 (16 enodes) 1540331881.956 * * [misc]simplify: iters left: 4 (24 enodes) 1540331881.963 * * [misc]simplify: iters left: 3 (26 enodes) 1540331881.971 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540331881.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540331881.971 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540331881.972 * * [misc]simplify: iters left: 6 (11 enodes) 1540331881.977 * * [misc]simplify: iters left: 5 (17 enodes) 1540331881.983 * * [misc]simplify: iters left: 4 (23 enodes) 1540331881.991 * * [misc]simplify: iters left: 3 (24 enodes) 1540331881.999 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540331881.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540331881.999 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1540331881.999 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331882.000 * * [misc]simplify: iters left: 6 (11 enodes) 1540331882.005 * * [misc]simplify: iters left: 5 (15 enodes) 1540331882.010 * * [misc]simplify: iters left: 4 (18 enodes) 1540331882.017 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331882.017 * [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))))) 1540331882.017 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540331882.019 * * [misc]simplify: iters left: 6 (11 enodes) 1540331882.023 * * [misc]simplify: iters left: 5 (14 enodes) 1540331882.028 * * [misc]simplify: iters left: 4 (17 enodes) 1540331882.034 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540331882.034 * [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))))) 1540331882.034 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1540331882.034 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.035 * * [misc]simplify: iters left: 6 (10 enodes) 1540331882.039 * * [misc]simplify: iters left: 5 (12 enodes) 1540331882.043 * * [misc]simplify: iters left: 4 (15 enodes) 1540331882.049 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.049 * [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))))) 1540331882.049 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.050 * * [misc]simplify: iters left: 6 (11 enodes) 1540331882.054 * * [misc]simplify: iters left: 5 (14 enodes) 1540331882.059 * * [misc]simplify: iters left: 4 (17 enodes) 1540331882.065 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.065 * [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))))) 1540331882.065 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1540331882.066 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540331882.069 * * [misc]simplify: iters left: 6 (9 enodes) 1540331882.073 * * [misc]simplify: iters left: 5 (13 enodes) 1540331882.079 * * [misc]simplify: iters left: 4 (18 enodes) 1540331882.084 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540331882.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540331882.084 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540331882.085 * * [misc]simplify: iters left: 6 (10 enodes) 1540331882.089 * * [misc]simplify: iters left: 5 (13 enodes) 1540331882.093 * * [misc]simplify: iters left: 4 (16 enodes) 1540331882.099 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540331882.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540331882.099 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1540331882.099 * [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)))) 1540331882.101 * * [misc]simplify: iters left: 6 (16 enodes) 1540331882.108 * * [misc]simplify: iters left: 5 (28 enodes) 1540331882.121 * * [misc]simplify: iters left: 4 (46 enodes) 1540331882.136 * * [misc]simplify: iters left: 3 (50 enodes) 1540331882.150 * * [misc]simplify: iters left: 2 (53 enodes) 1540331882.171 * [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)))) 1540331882.171 * [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))))) 1540331882.171 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540331882.172 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.178 * * [misc]simplify: iters left: 5 (20 enodes) 1540331882.187 * * [misc]simplify: iters left: 4 (29 enodes) 1540331882.196 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.208 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540331882.208 * [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))))) 1540331882.208 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1540331882.209 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331882.210 * * [misc]simplify: iters left: 6 (15 enodes) 1540331882.217 * * [misc]simplify: iters left: 5 (23 enodes) 1540331882.226 * * [misc]simplify: iters left: 4 (34 enodes) 1540331882.237 * * [misc]simplify: iters left: 3 (37 enodes) 1540331882.252 * [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)))))) 1540331882.252 * [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))))) 1540331882.252 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.254 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.260 * * [misc]simplify: iters left: 5 (20 enodes) 1540331882.268 * * [misc]simplify: iters left: 4 (29 enodes) 1540331882.276 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.286 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.286 * [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))))) 1540331882.286 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1540331882.287 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540331882.288 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.294 * * [misc]simplify: iters left: 5 (24 enodes) 1540331882.306 * * [misc]simplify: iters left: 4 (39 enodes) 1540331882.321 * * [misc]simplify: iters left: 3 (54 enodes) 1540331882.343 * * [misc]simplify: iters left: 2 (80 enodes) 1540331882.369 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540331882.369 * [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)))) 1540331882.369 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540331882.371 * * [misc]simplify: iters left: 6 (13 enodes) 1540331882.376 * * [misc]simplify: iters left: 5 (19 enodes) 1540331882.385 * * [misc]simplify: iters left: 4 (28 enodes) 1540331882.394 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.405 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540331882.405 * [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)))) 1540331882.405 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1540331882.405 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331882.406 * * [misc]simplify: iters left: 6 (15 enodes) 1540331882.413 * * [misc]simplify: iters left: 5 (23 enodes) 1540331882.422 * * [misc]simplify: iters left: 4 (32 enodes) 1540331882.433 * * [misc]simplify: iters left: 3 (34 enodes) 1540331882.445 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331882.445 * [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))))) 1540331882.445 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540331882.447 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.453 * * [misc]simplify: iters left: 5 (20 enodes) 1540331882.461 * * [misc]simplify: iters left: 4 (29 enodes) 1540331882.472 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.483 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540331882.483 * [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))))) 1540331882.483 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1540331882.484 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.485 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.491 * * [misc]simplify: iters left: 5 (20 enodes) 1540331882.499 * * [misc]simplify: iters left: 4 (29 enodes) 1540331882.508 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.519 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.519 * [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))))) 1540331882.519 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.520 * * [misc]simplify: iters left: 6 (14 enodes) 1540331882.526 * * [misc]simplify: iters left: 5 (20 enodes) 1540331882.535 * * [misc]simplify: iters left: 4 (29 enodes) 1540331882.545 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.556 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331882.556 * [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))))) 1540331882.556 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1540331882.556 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540331882.557 * * [misc]simplify: iters left: 6 (13 enodes) 1540331882.563 * * [misc]simplify: iters left: 5 (21 enodes) 1540331882.572 * * [misc]simplify: iters left: 4 (32 enodes) 1540331882.582 * * [misc]simplify: iters left: 3 (33 enodes) 1540331882.592 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540331882.592 * [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)))) 1540331882.593 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540331882.594 * * [misc]simplify: iters left: 6 (13 enodes) 1540331882.600 * * [misc]simplify: iters left: 5 (19 enodes) 1540331882.610 * * [misc]simplify: iters left: 4 (28 enodes) 1540331882.619 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.630 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540331882.630 * [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)))) 1540331882.630 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1540331882.630 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331882.631 * * [misc]simplify: iters left: 6 (6 enodes) 1540331882.634 * * [misc]simplify: iters left: 5 (10 enodes) 1540331882.637 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540331882.637 * [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))))) 1540331882.638 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540331882.639 * * [misc]simplify: iters left: 6 (13 enodes) 1540331882.645 * * [misc]simplify: iters left: 5 (19 enodes) 1540331882.653 * * [misc]simplify: iters left: 4 (28 enodes) 1540331882.663 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.673 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540331882.673 * [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))))) 1540331882.673 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1540331882.673 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540331882.674 * * [misc]simplify: iters left: 4 (5 enodes) 1540331882.676 * * [misc]simplify: iters left: 3 (7 enodes) 1540331882.678 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540331882.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540331882.678 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.680 * * [misc]simplify: iters left: 6 (13 enodes) 1540331882.685 * * [misc]simplify: iters left: 5 (19 enodes) 1540331882.693 * * [misc]simplify: iters left: 4 (28 enodes) 1540331882.702 * * [misc]simplify: iters left: 3 (30 enodes) 1540331882.713 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331882.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540331882.713 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1540331882.713 * [enter]simplify: Simplifying (/ 1 1) 1540331882.713 * * [misc]simplify: iters left: 2 (2 enodes) 1540331882.714 * * [misc]simplify: iters left: 1 (4 enodes) 1540331882.715 * [exit]simplify: Simplified to 1 1540331882.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540331882.715 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540331882.717 * * [misc]simplify: iters left: 6 (12 enodes) 1540331882.722 * * [misc]simplify: iters left: 5 (18 enodes) 1540331882.729 * * [misc]simplify: iters left: 4 (27 enodes) 1540331882.738 * * [misc]simplify: iters left: 3 (29 enodes) 1540331882.750 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540331882.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540331882.750 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1540331882.750 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1540331882.750 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1540331882.750 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1540331882.750 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540331882.751 * * [misc]simplify: iters left: 2 (3 enodes) 1540331882.752 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540331882.752 * [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)))) 1540331882.752 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1540331882.752 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540331882.752 * * [misc]simplify: iters left: 2 (3 enodes) 1540331882.753 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331882.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540331882.754 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1540331882.754 * [enter]simplify: Simplifying (sqrt k) 1540331882.754 * * [misc]simplify: iters left: 1 (2 enodes) 1540331882.755 * [exit]simplify: Simplified to (sqrt k) 1540331882.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540331882.755 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1540331882.755 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540331882.756 * * [misc]simplify: iters left: 5 (7 enodes) 1540331882.759 * * [misc]simplify: iters left: 4 (12 enodes) 1540331882.764 * * [misc]simplify: iters left: 3 (18 enodes) 1540331882.771 * * [misc]simplify: iters left: 2 (20 enodes) 1540331882.777 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540331882.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540331882.777 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1540331882.778 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540331882.778 * * [misc]simplify: iters left: 5 (7 enodes) 1540331882.782 * * [misc]simplify: iters left: 4 (12 enodes) 1540331882.787 * * [misc]simplify: iters left: 3 (18 enodes) 1540331882.793 * * [misc]simplify: iters left: 2 (20 enodes) 1540331882.799 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540331882.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540331882.799 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1540331882.800 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540331882.800 * * [misc]simplify: iters left: 5 (7 enodes) 1540331882.803 * * [misc]simplify: iters left: 4 (9 enodes) 1540331882.806 * * [misc]simplify: iters left: 3 (12 enodes) 1540331882.811 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540331882.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331882.811 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1540331882.811 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331882.812 * * [misc]simplify: iters left: 6 (12 enodes) 1540331882.818 * * [misc]simplify: iters left: 5 (18 enodes) 1540331882.826 * * [misc]simplify: iters left: 4 (27 enodes) 1540331882.835 * * [misc]simplify: iters left: 3 (29 enodes) 1540331882.845 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540331882.845 * [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))))))) 1540331882.845 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1540331882.846 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331882.847 * * [misc]simplify: iters left: 6 (11 enodes) 1540331882.851 * * [misc]simplify: iters left: 5 (17 enodes) 1540331882.859 * * [misc]simplify: iters left: 4 (26 enodes) 1540331882.867 * * [misc]simplify: iters left: 3 (27 enodes) 1540331882.877 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540331882.877 * [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))))))) 1540331882.877 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1540331882.877 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1540331882.877 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540331882.879 * * [misc]simplify: iters left: 5 (7 enodes) 1540331882.883 * * [misc]simplify: iters left: 4 (12 enodes) 1540331882.888 * * [misc]simplify: iters left: 3 (18 enodes) 1540331882.894 * * [misc]simplify: iters left: 2 (20 enodes) 1540331882.900 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540331882.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540331882.900 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1540331882.901 * [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))))) 1540331882.905 * * [misc]simplify: iters left: 6 (37 enodes) 1540331882.932 * * [misc]simplify: iters left: 5 (108 enodes) 1540331883.020 * * [misc]simplify: iters left: 4 (368 enodes) 1540331883.782 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1540331883.782 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1540331883.782 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1540331883.783 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540331883.785 * * [misc]simplify: iters left: 6 (15 enodes) 1540331883.794 * * [misc]simplify: iters left: 5 (33 enodes) 1540331883.812 * * [misc]simplify: iters left: 4 (64 enodes) 1540331883.851 * * [misc]simplify: iters left: 3 (179 enodes) 1540331884.497 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1540331884.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1540331884.497 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1540331884.497 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540331884.499 * * [misc]simplify: iters left: 6 (15 enodes) 1540331884.507 * * [misc]simplify: iters left: 5 (30 enodes) 1540331884.525 * * [misc]simplify: iters left: 4 (65 enodes) 1540331884.583 * * [misc]simplify: iters left: 3 (208 enodes) 1540331884.913 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1540331884.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1540331884.914 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1540331884.914 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331884.915 * * [misc]simplify: iters left: 4 (5 enodes) 1540331884.916 * * [misc]simplify: iters left: 3 (9 enodes) 1540331884.919 * * [misc]simplify: iters left: 2 (15 enodes) 1540331884.921 * * [misc]simplify: iters left: 1 (17 enodes) 1540331884.925 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331884.925 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540331884.925 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1540331884.925 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331884.925 * * [misc]simplify: iters left: 4 (5 enodes) 1540331884.927 * * [misc]simplify: iters left: 3 (9 enodes) 1540331884.929 * * [misc]simplify: iters left: 2 (15 enodes) 1540331884.932 * * [misc]simplify: iters left: 1 (17 enodes) 1540331884.934 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331884.935 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540331884.935 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1540331884.935 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331884.935 * * [misc]simplify: iters left: 4 (5 enodes) 1540331884.938 * * [misc]simplify: iters left: 3 (9 enodes) 1540331884.942 * * [misc]simplify: iters left: 2 (15 enodes) 1540331884.947 * * [misc]simplify: iters left: 1 (17 enodes) 1540331884.952 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331884.953 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540331884.953 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1540331884.953 * [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)))))))))))))))))))))) 1540331884.953 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331884.953 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1540331884.954 * [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)))))))) 1540331884.954 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331884.954 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1540331884.954 * [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))))))))))) 1540331884.954 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331884.954 * * * [misc]progress: adding candidates to table 1540331887.081 * * [misc]progress: iteration 2 / 4 1540331887.081 * * * [misc]progress: picking best candidate 1540331887.208 * * * * [misc]pick: Picked # 1540331887.208 * * * [misc]progress: localizing error 1540331887.215 * * * [misc]progress: generating rewritten candidates 1540331887.215 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1540331887.255 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1540331887.284 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1540331887.350 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1540331887.422 * * * [misc]progress: generating series expansions 1540331887.422 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1540331887.423 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540331887.423 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540331887.423 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.423 * [misc]taylor: Taking taylor expansion of k in k 1540331887.423 * [misc]backup-simplify: Simplify 0 into 0 1540331887.423 * [misc]backup-simplify: Simplify 1 into 1 1540331887.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331887.423 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.423 * [misc]backup-simplify: Simplify 2 into 2 1540331887.423 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331887.424 * [misc]taylor: Taking taylor expansion of n in k 1540331887.424 * [misc]backup-simplify: Simplify n into n 1540331887.424 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.424 * [misc]backup-simplify: Simplify PI into PI 1540331887.424 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331887.424 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331887.424 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331887.424 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331887.425 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.425 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331887.425 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331887.425 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331887.425 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331887.425 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.426 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.426 * [misc]taylor: Taking taylor expansion of k in n 1540331887.426 * [misc]backup-simplify: Simplify k into k 1540331887.426 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.426 * [misc]backup-simplify: Simplify 2 into 2 1540331887.426 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.426 * [misc]taylor: Taking taylor expansion of n in n 1540331887.426 * [misc]backup-simplify: Simplify 0 into 0 1540331887.426 * [misc]backup-simplify: Simplify 1 into 1 1540331887.426 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.426 * [misc]backup-simplify: Simplify PI into PI 1540331887.426 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.427 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.428 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.429 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.429 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331887.429 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331887.429 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331887.430 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.430 * [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)))) 1540331887.431 * [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))))) 1540331887.431 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331887.431 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331887.431 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331887.431 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331887.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.431 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331887.432 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.432 * [misc]taylor: Taking taylor expansion of k in n 1540331887.432 * [misc]backup-simplify: Simplify k into k 1540331887.432 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331887.432 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.432 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.432 * [misc]backup-simplify: Simplify 2 into 2 1540331887.432 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.432 * [misc]taylor: Taking taylor expansion of n in n 1540331887.432 * [misc]backup-simplify: Simplify 0 into 0 1540331887.432 * [misc]backup-simplify: Simplify 1 into 1 1540331887.432 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.432 * [misc]backup-simplify: Simplify PI into PI 1540331887.432 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.432 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.434 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.435 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.435 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331887.435 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331887.435 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331887.436 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.436 * [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)))) 1540331887.437 * [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))))) 1540331887.437 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540331887.437 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540331887.437 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331887.437 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.437 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331887.438 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.438 * [misc]taylor: Taking taylor expansion of k in k 1540331887.438 * [misc]backup-simplify: Simplify 0 into 0 1540331887.438 * [misc]backup-simplify: Simplify 1 into 1 1540331887.438 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540331887.438 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331887.438 * [misc]taylor: Taking taylor expansion of n in k 1540331887.438 * [misc]backup-simplify: Simplify n into n 1540331887.438 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331887.438 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331887.438 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331887.438 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.438 * [misc]backup-simplify: Simplify 2 into 2 1540331887.438 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.438 * [misc]backup-simplify: Simplify PI into PI 1540331887.438 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.439 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.439 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331887.439 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.439 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.440 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.441 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540331887.441 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540331887.442 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540331887.443 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331887.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331887.448 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331887.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540331887.448 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.449 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.450 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540331887.452 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331887.452 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.452 * [misc]backup-simplify: Simplify 0 into 0 1540331887.452 * [misc]backup-simplify: Simplify 0 into 0 1540331887.453 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540331887.454 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331887.457 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331887.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.457 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331887.457 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.457 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.458 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540331887.460 * [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))))))) 1540331887.462 * [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))))))) 1540331887.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540331887.471 * [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 1540331887.471 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540331887.472 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.472 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.472 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.473 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331887.476 * [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 1540331887.476 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.476 * [misc]backup-simplify: Simplify 0 into 0 1540331887.476 * [misc]backup-simplify: Simplify 0 into 0 1540331887.476 * [misc]backup-simplify: Simplify 0 into 0 1540331887.478 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540331887.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.485 * [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 1540331887.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.485 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331887.485 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.486 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540331887.490 * [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))))) 1540331887.494 * [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))))) 1540331887.504 * [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))))) 1540331887.504 * [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)))) 1540331887.504 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540331887.504 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.504 * [misc]taylor: Taking taylor expansion of k in k 1540331887.504 * [misc]backup-simplify: Simplify 0 into 0 1540331887.504 * [misc]backup-simplify: Simplify 1 into 1 1540331887.505 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.505 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331887.505 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331887.505 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.505 * [misc]backup-simplify: Simplify 2 into 2 1540331887.505 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.505 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.505 * [misc]backup-simplify: Simplify PI into PI 1540331887.505 * [misc]taylor: Taking taylor expansion of n in k 1540331887.505 * [misc]backup-simplify: Simplify n into n 1540331887.505 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.505 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331887.505 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331887.506 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.506 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.506 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.506 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331887.506 * [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)))) 1540331887.506 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.507 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of k in n 1540331887.507 * [misc]backup-simplify: Simplify k into k 1540331887.507 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.507 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.507 * [misc]backup-simplify: Simplify 2 into 2 1540331887.507 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.507 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.507 * [misc]backup-simplify: Simplify PI into PI 1540331887.507 * [misc]taylor: Taking taylor expansion of n in n 1540331887.507 * [misc]backup-simplify: Simplify 0 into 0 1540331887.507 * [misc]backup-simplify: Simplify 1 into 1 1540331887.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.508 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.509 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.509 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.509 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.509 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.510 * [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))) 1540331887.511 * [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)))) 1540331887.511 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.511 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.511 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.511 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.511 * [misc]taylor: Taking taylor expansion of k in n 1540331887.512 * [misc]backup-simplify: Simplify k into k 1540331887.512 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.512 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.512 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.512 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.512 * [misc]backup-simplify: Simplify 2 into 2 1540331887.512 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.512 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.512 * [misc]backup-simplify: Simplify PI into PI 1540331887.512 * [misc]taylor: Taking taylor expansion of n in n 1540331887.512 * [misc]backup-simplify: Simplify 0 into 0 1540331887.512 * [misc]backup-simplify: Simplify 1 into 1 1540331887.512 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.513 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.513 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.513 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.513 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.513 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.514 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.515 * [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))) 1540331887.516 * [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)))) 1540331887.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.516 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of k in k 1540331887.516 * [misc]backup-simplify: Simplify 0 into 0 1540331887.516 * [misc]backup-simplify: Simplify 1 into 1 1540331887.516 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.516 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540331887.516 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540331887.517 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.517 * [misc]backup-simplify: Simplify 2 into 2 1540331887.517 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.517 * [misc]backup-simplify: Simplify PI into PI 1540331887.517 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.518 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.518 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331887.518 * [misc]taylor: Taking taylor expansion of n in k 1540331887.518 * [misc]backup-simplify: Simplify n into n 1540331887.518 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331887.518 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.518 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.518 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.518 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331887.519 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540331887.520 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540331887.520 * [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)))) 1540331887.521 * [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)))) 1540331887.523 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.524 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331887.527 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331887.527 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.527 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331887.528 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.529 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540331887.531 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331887.531 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.531 * [misc]backup-simplify: Simplify 0 into 0 1540331887.531 * [misc]backup-simplify: Simplify 0 into 0 1540331887.531 * [misc]backup-simplify: Simplify 0 into 0 1540331887.533 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.544 * [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 1540331887.545 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331887.545 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331887.545 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.545 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.547 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540331887.550 * [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 1540331887.550 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.550 * [misc]backup-simplify: Simplify 0 into 0 1540331887.550 * [misc]backup-simplify: Simplify 0 into 0 1540331887.550 * [misc]backup-simplify: Simplify 0 into 0 1540331887.550 * [misc]backup-simplify: Simplify 0 into 0 1540331887.552 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.560 * [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 1540331887.560 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331887.561 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331887.561 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.562 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540331887.564 * [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 1540331887.564 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.564 * [misc]backup-simplify: Simplify 0 into 0 1540331887.564 * [misc]backup-simplify: Simplify 0 into 0 1540331887.565 * [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))))) 1540331887.565 * [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)) 1540331887.565 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540331887.565 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.565 * [misc]taylor: Taking taylor expansion of k in k 1540331887.565 * [misc]backup-simplify: Simplify 0 into 0 1540331887.565 * [misc]backup-simplify: Simplify 1 into 1 1540331887.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.565 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331887.566 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331887.566 * [misc]taylor: Taking taylor expansion of -2 in k 1540331887.566 * [misc]backup-simplify: Simplify -2 into -2 1540331887.566 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.566 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.566 * [misc]backup-simplify: Simplify PI into PI 1540331887.566 * [misc]taylor: Taking taylor expansion of n in k 1540331887.566 * [misc]backup-simplify: Simplify n into n 1540331887.566 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.566 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331887.566 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331887.566 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.566 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331887.566 * [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))) 1540331887.566 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.566 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331887.566 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331887.566 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.566 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.567 * [misc]taylor: Taking taylor expansion of k in n 1540331887.567 * [misc]backup-simplify: Simplify k into k 1540331887.567 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.567 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.567 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.567 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.567 * [misc]backup-simplify: Simplify -2 into -2 1540331887.567 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.567 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.567 * [misc]backup-simplify: Simplify PI into PI 1540331887.567 * [misc]taylor: Taking taylor expansion of n in n 1540331887.567 * [misc]backup-simplify: Simplify 0 into 0 1540331887.567 * [misc]backup-simplify: Simplify 1 into 1 1540331887.567 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.567 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.568 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.568 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.568 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.568 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.569 * [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))) 1540331887.569 * [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)))) 1540331887.569 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of k in n 1540331887.569 * [misc]backup-simplify: Simplify k into k 1540331887.569 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.569 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.569 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.569 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.569 * [misc]backup-simplify: Simplify -2 into -2 1540331887.570 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.570 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.570 * [misc]backup-simplify: Simplify PI into PI 1540331887.570 * [misc]taylor: Taking taylor expansion of n in n 1540331887.570 * [misc]backup-simplify: Simplify 0 into 0 1540331887.570 * [misc]backup-simplify: Simplify 1 into 1 1540331887.570 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.570 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.570 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.570 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.570 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.571 * [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))) 1540331887.572 * [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)))) 1540331887.572 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.572 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of k in k 1540331887.572 * [misc]backup-simplify: Simplify 0 into 0 1540331887.572 * [misc]backup-simplify: Simplify 1 into 1 1540331887.572 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.572 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.572 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.572 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540331887.572 * [misc]taylor: Taking taylor expansion of -2 in k 1540331887.572 * [misc]backup-simplify: Simplify -2 into -2 1540331887.572 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.572 * [misc]backup-simplify: Simplify PI into PI 1540331887.573 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.573 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.573 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331887.573 * [misc]taylor: Taking taylor expansion of n in k 1540331887.573 * [misc]backup-simplify: Simplify n into n 1540331887.573 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331887.573 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.573 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.573 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331887.574 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540331887.574 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540331887.575 * [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)))) 1540331887.575 * [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)))) 1540331887.576 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.576 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331887.578 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540331887.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331887.579 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540331887.581 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331887.581 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.581 * [misc]backup-simplify: Simplify 0 into 0 1540331887.581 * [misc]backup-simplify: Simplify 0 into 0 1540331887.581 * [misc]backup-simplify: Simplify 0 into 0 1540331887.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.582 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.586 * [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 1540331887.586 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331887.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331887.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.588 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540331887.589 * [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 1540331887.589 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.589 * [misc]backup-simplify: Simplify 0 into 0 1540331887.589 * [misc]backup-simplify: Simplify 0 into 0 1540331887.589 * [misc]backup-simplify: Simplify 0 into 0 1540331887.589 * [misc]backup-simplify: Simplify 0 into 0 1540331887.590 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.591 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.597 * [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 1540331887.597 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331887.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331887.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.599 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540331887.601 * [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 1540331887.601 * [misc]taylor: Taking taylor expansion of 0 in k 1540331887.601 * [misc]backup-simplify: Simplify 0 into 0 1540331887.601 * [misc]backup-simplify: Simplify 0 into 0 1540331887.602 * [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))))) 1540331887.602 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1540331887.602 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540331887.602 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540331887.602 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.602 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.602 * [misc]backup-simplify: Simplify 2 into 2 1540331887.602 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.602 * [misc]taylor: Taking taylor expansion of n in n 1540331887.602 * [misc]backup-simplify: Simplify 0 into 0 1540331887.602 * [misc]backup-simplify: Simplify 1 into 1 1540331887.602 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.602 * [misc]backup-simplify: Simplify PI into PI 1540331887.602 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.602 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.602 * [misc]backup-simplify: Simplify 2 into 2 1540331887.602 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.602 * [misc]taylor: Taking taylor expansion of n in n 1540331887.602 * [misc]backup-simplify: Simplify 0 into 0 1540331887.602 * [misc]backup-simplify: Simplify 1 into 1 1540331887.602 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.603 * [misc]backup-simplify: Simplify PI into PI 1540331887.603 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.603 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.603 * [misc]backup-simplify: Simplify 0 into 0 1540331887.603 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.604 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.604 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.605 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331887.605 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331887.605 * [misc]backup-simplify: Simplify 0 into 0 1540331887.606 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.607 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540331887.607 * [misc]backup-simplify: Simplify 0 into 0 1540331887.609 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331887.610 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540331887.610 * [misc]backup-simplify: Simplify 0 into 0 1540331887.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331887.616 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540331887.616 * [misc]backup-simplify: Simplify 0 into 0 1540331887.620 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331887.625 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540331887.625 * [misc]backup-simplify: Simplify 0 into 0 1540331887.630 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540331887.634 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540331887.634 * [misc]backup-simplify: Simplify 0 into 0 1540331887.635 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540331887.635 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540331887.635 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540331887.635 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.635 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.635 * [misc]backup-simplify: Simplify 2 into 2 1540331887.635 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.635 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.635 * [misc]backup-simplify: Simplify PI into PI 1540331887.635 * [misc]taylor: Taking taylor expansion of n in n 1540331887.635 * [misc]backup-simplify: Simplify 0 into 0 1540331887.635 * [misc]backup-simplify: Simplify 1 into 1 1540331887.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.636 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.636 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.636 * [misc]backup-simplify: Simplify 2 into 2 1540331887.636 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.636 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.636 * [misc]backup-simplify: Simplify PI into PI 1540331887.636 * [misc]taylor: Taking taylor expansion of n in n 1540331887.636 * [misc]backup-simplify: Simplify 0 into 0 1540331887.636 * [misc]backup-simplify: Simplify 1 into 1 1540331887.636 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.637 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.637 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.638 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.639 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331887.639 * [misc]backup-simplify: Simplify 0 into 0 1540331887.640 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.642 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.642 * [misc]backup-simplify: Simplify 0 into 0 1540331887.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.645 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.645 * [misc]backup-simplify: Simplify 0 into 0 1540331887.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.650 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331887.650 * [misc]backup-simplify: Simplify 0 into 0 1540331887.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.655 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331887.655 * [misc]backup-simplify: Simplify 0 into 0 1540331887.660 * [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 1540331887.664 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331887.664 * [misc]backup-simplify: Simplify 0 into 0 1540331887.664 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540331887.665 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540331887.665 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540331887.665 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.665 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.665 * [misc]backup-simplify: Simplify -2 into -2 1540331887.665 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.665 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.665 * [misc]backup-simplify: Simplify PI into PI 1540331887.665 * [misc]taylor: Taking taylor expansion of n in n 1540331887.665 * [misc]backup-simplify: Simplify 0 into 0 1540331887.665 * [misc]backup-simplify: Simplify 1 into 1 1540331887.665 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.665 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.665 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.665 * [misc]backup-simplify: Simplify -2 into -2 1540331887.665 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.665 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.666 * [misc]backup-simplify: Simplify PI into PI 1540331887.666 * [misc]taylor: Taking taylor expansion of n in n 1540331887.666 * [misc]backup-simplify: Simplify 0 into 0 1540331887.666 * [misc]backup-simplify: Simplify 1 into 1 1540331887.666 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.666 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.667 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.668 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.669 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331887.669 * [misc]backup-simplify: Simplify 0 into 0 1540331887.670 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.671 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.671 * [misc]backup-simplify: Simplify 0 into 0 1540331887.674 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.676 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331887.676 * [misc]backup-simplify: Simplify 0 into 0 1540331887.678 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.680 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540331887.680 * [misc]backup-simplify: Simplify 0 into 0 1540331887.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.686 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540331887.686 * [misc]backup-simplify: Simplify 0 into 0 1540331887.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.692 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540331887.692 * [misc]backup-simplify: Simplify 0 into 0 1540331887.693 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540331887.693 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1540331887.693 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540331887.693 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540331887.693 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.694 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.694 * [misc]taylor: Taking taylor expansion of k in n 1540331887.694 * [misc]backup-simplify: Simplify k into k 1540331887.694 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.694 * [misc]backup-simplify: Simplify 2 into 2 1540331887.694 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.694 * [misc]taylor: Taking taylor expansion of n in n 1540331887.694 * [misc]backup-simplify: Simplify 0 into 0 1540331887.694 * [misc]backup-simplify: Simplify 1 into 1 1540331887.694 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.694 * [misc]backup-simplify: Simplify PI into PI 1540331887.695 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.695 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.695 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.696 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.697 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.697 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331887.697 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331887.697 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331887.698 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.699 * [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)))) 1540331887.699 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1540331887.700 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1540331887.700 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331887.700 * [misc]taylor: Taking taylor expansion of k in n 1540331887.700 * [misc]backup-simplify: Simplify k into k 1540331887.700 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331887.701 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331887.701 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.701 * [misc]taylor: Taking taylor expansion of k in k 1540331887.701 * [misc]backup-simplify: Simplify 0 into 0 1540331887.701 * [misc]backup-simplify: Simplify 1 into 1 1540331887.701 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.701 * [misc]backup-simplify: Simplify 2 into 2 1540331887.701 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331887.701 * [misc]taylor: Taking taylor expansion of n in k 1540331887.701 * [misc]backup-simplify: Simplify n into n 1540331887.701 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.701 * [misc]backup-simplify: Simplify PI into PI 1540331887.701 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331887.702 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331887.702 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331887.702 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331887.702 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.702 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.702 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331887.703 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331887.703 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1540331887.703 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331887.703 * [misc]taylor: Taking taylor expansion of k in k 1540331887.703 * [misc]backup-simplify: Simplify 0 into 0 1540331887.703 * [misc]backup-simplify: Simplify 1 into 1 1540331887.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331887.704 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.704 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331887.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.704 * [misc]taylor: Taking taylor expansion of k in k 1540331887.704 * [misc]backup-simplify: Simplify 0 into 0 1540331887.705 * [misc]backup-simplify: Simplify 1 into 1 1540331887.705 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331887.705 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331887.705 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.705 * [misc]backup-simplify: Simplify 2 into 2 1540331887.705 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331887.705 * [misc]taylor: Taking taylor expansion of n in k 1540331887.705 * [misc]backup-simplify: Simplify n into n 1540331887.705 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.705 * [misc]backup-simplify: Simplify PI into PI 1540331887.705 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331887.705 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331887.705 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331887.705 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331887.706 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.706 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.706 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331887.706 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331887.707 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1540331887.707 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331887.707 * [misc]taylor: Taking taylor expansion of k in k 1540331887.707 * [misc]backup-simplify: Simplify 0 into 0 1540331887.707 * [misc]backup-simplify: Simplify 1 into 1 1540331887.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.707 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331887.708 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1540331887.708 * [misc]taylor: Taking taylor expansion of 0 in n 1540331887.708 * [misc]backup-simplify: Simplify 0 into 0 1540331887.708 * [misc]backup-simplify: Simplify 0 into 0 1540331887.708 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540331887.709 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540331887.710 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540331887.710 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331887.710 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.711 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540331887.712 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1540331887.713 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1540331887.715 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1540331887.715 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.715 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.715 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.715 * [misc]taylor: Taking taylor expansion of n in n 1540331887.715 * [misc]backup-simplify: Simplify 0 into 0 1540331887.715 * [misc]backup-simplify: Simplify 1 into 1 1540331887.715 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.715 * [misc]backup-simplify: Simplify PI into PI 1540331887.715 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.716 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540331887.716 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.717 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540331887.717 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331887.717 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.717 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.717 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331887.717 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331887.718 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.718 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331887.719 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.720 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.720 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.720 * [misc]backup-simplify: Simplify 0 into 0 1540331887.721 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331887.722 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1540331887.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1540331887.724 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1540331887.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331887.724 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.725 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1540331887.727 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1540331887.740 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1540331887.754 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1540331887.754 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.754 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.754 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331887.754 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.754 * [misc]backup-simplify: Simplify 2 into 2 1540331887.755 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331887.755 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331887.755 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1540331887.755 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331887.755 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.755 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.755 * [misc]backup-simplify: Simplify 2 into 2 1540331887.755 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.755 * [misc]taylor: Taking taylor expansion of n in n 1540331887.755 * [misc]backup-simplify: Simplify 0 into 0 1540331887.755 * [misc]backup-simplify: Simplify 1 into 1 1540331887.755 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.755 * [misc]backup-simplify: Simplify PI into PI 1540331887.755 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.756 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.757 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.758 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.758 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540331887.758 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331887.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.758 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331887.758 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331887.758 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540331887.759 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540331887.759 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.759 * [misc]taylor: Taking taylor expansion of n in n 1540331887.759 * [misc]backup-simplify: Simplify 0 into 0 1540331887.759 * [misc]backup-simplify: Simplify 1 into 1 1540331887.759 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.759 * [misc]backup-simplify: Simplify PI into PI 1540331887.759 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.760 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.760 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540331887.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.761 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540331887.761 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.761 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.761 * [misc]taylor: Taking taylor expansion of n in n 1540331887.761 * [misc]backup-simplify: Simplify 0 into 0 1540331887.761 * [misc]backup-simplify: Simplify 1 into 1 1540331887.761 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.761 * [misc]backup-simplify: Simplify PI into PI 1540331887.762 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.763 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1540331887.763 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.764 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1540331887.764 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331887.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.764 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331887.764 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331887.765 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.766 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540331887.767 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1540331887.768 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1540331887.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.769 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540331887.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331887.772 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331887.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331887.776 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540331887.778 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1540331887.782 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1540331887.783 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1540331887.798 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1540331887.799 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.799 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331887.801 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.803 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1540331887.815 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540331887.830 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540331887.843 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1540331887.844 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540331887.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331887.847 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1540331887.849 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1540331887.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540331887.857 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540331887.859 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540331887.861 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1540331887.882 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1540331887.882 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540331887.882 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540331887.882 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540331887.882 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331887.882 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of k in n 1540331887.883 * [misc]backup-simplify: Simplify k into k 1540331887.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.883 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.883 * [misc]backup-simplify: Simplify 2 into 2 1540331887.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.883 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.883 * [misc]backup-simplify: Simplify PI into PI 1540331887.883 * [misc]taylor: Taking taylor expansion of n in n 1540331887.883 * [misc]backup-simplify: Simplify 0 into 0 1540331887.883 * [misc]backup-simplify: Simplify 1 into 1 1540331887.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.884 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.884 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.885 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.885 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.885 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.886 * [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))) 1540331887.887 * [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)))) 1540331887.888 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.888 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331887.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.888 * [misc]taylor: Taking taylor expansion of k in n 1540331887.888 * [misc]backup-simplify: Simplify k into k 1540331887.888 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.888 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331887.888 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331887.888 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331887.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.889 * [misc]taylor: Taking taylor expansion of k in k 1540331887.889 * [misc]backup-simplify: Simplify 0 into 0 1540331887.889 * [misc]backup-simplify: Simplify 1 into 1 1540331887.889 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.889 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331887.889 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331887.889 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.889 * [misc]backup-simplify: Simplify 2 into 2 1540331887.889 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.889 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.889 * [misc]backup-simplify: Simplify PI into PI 1540331887.889 * [misc]taylor: Taking taylor expansion of n in k 1540331887.889 * [misc]backup-simplify: Simplify n into n 1540331887.889 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.889 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331887.889 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331887.890 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.890 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.890 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.890 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331887.890 * [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)))) 1540331887.891 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540331887.891 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331887.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.891 * [misc]taylor: Taking taylor expansion of k in k 1540331887.891 * [misc]backup-simplify: Simplify 0 into 0 1540331887.891 * [misc]backup-simplify: Simplify 1 into 1 1540331887.891 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.892 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331887.892 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.892 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.892 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of k in k 1540331887.892 * [misc]backup-simplify: Simplify 0 into 0 1540331887.892 * [misc]backup-simplify: Simplify 1 into 1 1540331887.892 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.892 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.892 * [misc]backup-simplify: Simplify 2 into 2 1540331887.892 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.892 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.893 * [misc]backup-simplify: Simplify PI into PI 1540331887.893 * [misc]taylor: Taking taylor expansion of n in k 1540331887.893 * [misc]backup-simplify: Simplify n into n 1540331887.893 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.893 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331887.893 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331887.893 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.893 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331887.893 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331887.894 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331887.894 * [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)))) 1540331887.894 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540331887.894 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331887.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.894 * [misc]taylor: Taking taylor expansion of k in k 1540331887.894 * [misc]backup-simplify: Simplify 0 into 0 1540331887.894 * [misc]backup-simplify: Simplify 1 into 1 1540331887.895 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.895 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.895 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331887.896 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540331887.896 * [misc]taylor: Taking taylor expansion of 0 in n 1540331887.896 * [misc]backup-simplify: Simplify 0 into 0 1540331887.896 * [misc]backup-simplify: Simplify 0 into 0 1540331887.896 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331887.897 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331887.897 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.897 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.897 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.897 * [misc]taylor: Taking taylor expansion of k in n 1540331887.898 * [misc]backup-simplify: Simplify k into k 1540331887.898 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.898 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.898 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.898 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.898 * [misc]backup-simplify: Simplify 2 into 2 1540331887.898 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.898 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.898 * [misc]backup-simplify: Simplify PI into PI 1540331887.898 * [misc]taylor: Taking taylor expansion of n in n 1540331887.898 * [misc]backup-simplify: Simplify 0 into 0 1540331887.898 * [misc]backup-simplify: Simplify 1 into 1 1540331887.898 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.899 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.899 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.899 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.899 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.901 * [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))) 1540331887.902 * [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)))) 1540331887.902 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.903 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.904 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.905 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.905 * [misc]backup-simplify: Simplify 0 into 0 1540331887.905 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331887.907 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331887.907 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331887.908 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331887.908 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.908 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.908 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.908 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.908 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.909 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.909 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.909 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.909 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.909 * [misc]taylor: Taking taylor expansion of k in n 1540331887.909 * [misc]backup-simplify: Simplify k into k 1540331887.909 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.909 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.909 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.909 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.909 * [misc]backup-simplify: Simplify 2 into 2 1540331887.909 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.909 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.909 * [misc]backup-simplify: Simplify PI into PI 1540331887.909 * [misc]taylor: Taking taylor expansion of n in n 1540331887.909 * [misc]backup-simplify: Simplify 0 into 0 1540331887.909 * [misc]backup-simplify: Simplify 1 into 1 1540331887.909 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.910 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.910 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.910 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.910 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.911 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.911 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.912 * [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))) 1540331887.913 * [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)))) 1540331887.914 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.915 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.916 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.917 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.918 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331887.922 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331887.922 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331887.923 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.924 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540331887.926 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331887.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1540331887.929 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540331887.929 * [misc]backup-simplify: Simplify (- 0) into 0 1540331887.929 * [misc]backup-simplify: Simplify 0 into 0 1540331887.929 * [misc]backup-simplify: Simplify 0 into 0 1540331887.930 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.931 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331887.932 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331887.933 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331887.933 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.933 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.933 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.933 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.934 * [misc]taylor: Taking taylor expansion of k in n 1540331887.934 * [misc]backup-simplify: Simplify k into k 1540331887.934 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.934 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331887.934 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331887.934 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.934 * [misc]backup-simplify: Simplify 2 into 2 1540331887.934 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.934 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.934 * [misc]backup-simplify: Simplify PI into PI 1540331887.934 * [misc]taylor: Taking taylor expansion of n in n 1540331887.934 * [misc]backup-simplify: Simplify 0 into 0 1540331887.934 * [misc]backup-simplify: Simplify 1 into 1 1540331887.934 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.935 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331887.935 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.935 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.935 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331887.935 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331887.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331887.937 * [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))) 1540331887.938 * [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)))) 1540331887.939 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.939 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1540331887.940 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.941 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1540331887.947 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1540331887.948 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331887.948 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540331887.948 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331887.948 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331887.948 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331887.948 * [misc]taylor: Taking taylor expansion of -1 in n 1540331887.948 * [misc]backup-simplify: Simplify -1 into -1 1540331887.948 * [misc]taylor: Taking taylor expansion of k in n 1540331887.948 * [misc]backup-simplify: Simplify k into k 1540331887.948 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331887.948 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331887.949 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331887.949 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331887.949 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of k in n 1540331887.949 * [misc]backup-simplify: Simplify k into k 1540331887.949 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.949 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.949 * [misc]backup-simplify: Simplify -2 into -2 1540331887.949 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.949 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.949 * [misc]backup-simplify: Simplify PI into PI 1540331887.949 * [misc]taylor: Taking taylor expansion of n in n 1540331887.949 * [misc]backup-simplify: Simplify 0 into 0 1540331887.949 * [misc]backup-simplify: Simplify 1 into 1 1540331887.950 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.950 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.951 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.951 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.951 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.952 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.953 * [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))) 1540331887.953 * [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)))) 1540331887.954 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540331887.954 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331887.954 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331887.954 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331887.954 * [misc]taylor: Taking taylor expansion of -1 in k 1540331887.954 * [misc]backup-simplify: Simplify -1 into -1 1540331887.954 * [misc]taylor: Taking taylor expansion of k in k 1540331887.954 * [misc]backup-simplify: Simplify 0 into 0 1540331887.954 * [misc]backup-simplify: Simplify 1 into 1 1540331887.955 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331887.955 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.955 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331887.955 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331887.955 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331887.955 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331887.955 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331887.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.955 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.955 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.956 * [misc]taylor: Taking taylor expansion of k in k 1540331887.956 * [misc]backup-simplify: Simplify 0 into 0 1540331887.956 * [misc]backup-simplify: Simplify 1 into 1 1540331887.956 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.956 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.956 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.956 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331887.956 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331887.956 * [misc]taylor: Taking taylor expansion of -2 in k 1540331887.956 * [misc]backup-simplify: Simplify -2 into -2 1540331887.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.956 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.956 * [misc]backup-simplify: Simplify PI into PI 1540331887.956 * [misc]taylor: Taking taylor expansion of n in k 1540331887.956 * [misc]backup-simplify: Simplify n into n 1540331887.956 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.956 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331887.957 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331887.957 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.957 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.957 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331887.957 * [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))) 1540331887.958 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540331887.958 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331887.958 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331887.958 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331887.958 * [misc]taylor: Taking taylor expansion of -1 in k 1540331887.958 * [misc]backup-simplify: Simplify -1 into -1 1540331887.958 * [misc]taylor: Taking taylor expansion of k in k 1540331887.958 * [misc]backup-simplify: Simplify 0 into 0 1540331887.958 * [misc]backup-simplify: Simplify 1 into 1 1540331887.958 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331887.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.959 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331887.959 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.959 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.959 * [misc]taylor: Taking taylor expansion of k in k 1540331887.959 * [misc]backup-simplify: Simplify 0 into 0 1540331887.959 * [misc]backup-simplify: Simplify 1 into 1 1540331887.959 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.960 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.960 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.960 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331887.960 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331887.960 * [misc]taylor: Taking taylor expansion of -2 in k 1540331887.960 * [misc]backup-simplify: Simplify -2 into -2 1540331887.960 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331887.960 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.960 * [misc]backup-simplify: Simplify PI into PI 1540331887.960 * [misc]taylor: Taking taylor expansion of n in k 1540331887.960 * [misc]backup-simplify: Simplify n into n 1540331887.960 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331887.960 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331887.960 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331887.960 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331887.961 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331887.961 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331887.961 * [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))) 1540331887.962 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540331887.962 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.962 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.962 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.962 * [misc]backup-simplify: Simplify -2 into -2 1540331887.962 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.962 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.962 * [misc]backup-simplify: Simplify PI into PI 1540331887.962 * [misc]taylor: Taking taylor expansion of n in n 1540331887.962 * [misc]backup-simplify: Simplify 0 into 0 1540331887.962 * [misc]backup-simplify: Simplify 1 into 1 1540331887.963 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.963 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.963 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.963 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.963 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.963 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.963 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.964 * [misc]taylor: Taking taylor expansion of k in n 1540331887.964 * [misc]backup-simplify: Simplify k into k 1540331887.964 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.965 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.965 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.966 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331887.967 * [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)))) 1540331887.968 * [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))))) 1540331887.968 * [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))))) 1540331887.969 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331887.970 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331887.971 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540331887.971 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540331887.971 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.972 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.972 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.972 * [misc]backup-simplify: Simplify -2 into -2 1540331887.972 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.972 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.972 * [misc]backup-simplify: Simplify PI into PI 1540331887.972 * [misc]taylor: Taking taylor expansion of n in n 1540331887.972 * [misc]backup-simplify: Simplify 0 into 0 1540331887.972 * [misc]backup-simplify: Simplify 1 into 1 1540331887.972 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.973 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.973 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.973 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.974 * [misc]taylor: Taking taylor expansion of k in n 1540331887.974 * [misc]backup-simplify: Simplify k into k 1540331887.974 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.974 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.975 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.975 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.975 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331887.976 * [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)))) 1540331887.976 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540331887.977 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540331887.977 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540331887.978 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540331887.978 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.979 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331887.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331887.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331887.980 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331887.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540331887.982 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540331887.984 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331887.985 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1540331887.985 * [misc]backup-simplify: Simplify 0 into 0 1540331887.985 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331887.986 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331887.987 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540331887.987 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331887.987 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331887.987 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331887.987 * [misc]taylor: Taking taylor expansion of -2 in n 1540331887.987 * [misc]backup-simplify: Simplify -2 into -2 1540331887.988 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331887.988 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.988 * [misc]backup-simplify: Simplify PI into PI 1540331887.988 * [misc]taylor: Taking taylor expansion of n in n 1540331887.988 * [misc]backup-simplify: Simplify 0 into 0 1540331887.988 * [misc]backup-simplify: Simplify 1 into 1 1540331887.988 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331887.988 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331887.988 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331887.988 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331887.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331887.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.988 * [misc]taylor: Taking taylor expansion of k in n 1540331887.988 * [misc]backup-simplify: Simplify k into k 1540331887.989 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331887.989 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331887.989 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331887.990 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331887.990 * [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)))) 1540331887.991 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540331887.991 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1540331887.992 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540331887.992 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1540331887.994 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1540331887.994 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1540331887.995 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1540331887.995 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1540331887.995 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of k in n 1540331887.995 * [misc]backup-simplify: Simplify k into k 1540331887.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331887.995 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331887.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331887.995 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331887.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.995 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331887.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.995 * [misc]taylor: Taking taylor expansion of k in n 1540331887.995 * [misc]backup-simplify: Simplify k into k 1540331887.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of 2 in n 1540331887.995 * [misc]backup-simplify: Simplify 2 into 2 1540331887.995 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331887.995 * [misc]taylor: Taking taylor expansion of n in n 1540331887.995 * [misc]backup-simplify: Simplify 0 into 0 1540331887.995 * [misc]backup-simplify: Simplify 1 into 1 1540331887.995 * [misc]taylor: Taking taylor expansion of PI in n 1540331887.995 * [misc]backup-simplify: Simplify PI into PI 1540331887.996 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331887.996 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331887.996 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331887.997 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331887.997 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331887.997 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331887.997 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331887.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331887.998 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331887.998 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) 1540331887.998 * [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))))) 1540331887.998 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of k in k 1540331887.999 * [misc]backup-simplify: Simplify 0 into 0 1540331887.999 * [misc]backup-simplify: Simplify 1 into 1 1540331887.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331887.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331887.999 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331887.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.999 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331887.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331887.999 * [misc]taylor: Taking taylor expansion of k in k 1540331887.999 * [misc]backup-simplify: Simplify 0 into 0 1540331887.999 * [misc]backup-simplify: Simplify 1 into 1 1540331887.999 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of 2 in k 1540331887.999 * [misc]backup-simplify: Simplify 2 into 2 1540331887.999 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331887.999 * [misc]taylor: Taking taylor expansion of n in k 1540331887.999 * [misc]backup-simplify: Simplify n into n 1540331887.999 * [misc]taylor: Taking taylor expansion of PI in k 1540331887.999 * [misc]backup-simplify: Simplify PI into PI 1540331887.999 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331888.000 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331888.000 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331888.000 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331888.000 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.000 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331888.000 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331888.000 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331888.000 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540331888.000 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331888.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331888.000 * [misc]taylor: Taking taylor expansion of k in k 1540331888.000 * [misc]backup-simplify: Simplify 0 into 0 1540331888.000 * [misc]backup-simplify: Simplify 1 into 1 1540331888.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331888.001 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.001 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331888.001 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.001 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.001 * [misc]taylor: Taking taylor expansion of k in k 1540331888.001 * [misc]backup-simplify: Simplify 0 into 0 1540331888.001 * [misc]backup-simplify: Simplify 1 into 1 1540331888.001 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of 2 in k 1540331888.001 * [misc]backup-simplify: Simplify 2 into 2 1540331888.001 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540331888.001 * [misc]taylor: Taking taylor expansion of n in k 1540331888.001 * [misc]backup-simplify: Simplify n into n 1540331888.001 * [misc]taylor: Taking taylor expansion of PI in k 1540331888.001 * [misc]backup-simplify: Simplify PI into PI 1540331888.001 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540331888.001 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540331888.001 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540331888.002 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331888.002 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.002 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331888.002 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540331888.002 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540331888.002 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1540331888.002 * [misc]taylor: Taking taylor expansion of 0 in n 1540331888.002 * [misc]backup-simplify: Simplify 0 into 0 1540331888.002 * [misc]backup-simplify: Simplify 0 into 0 1540331888.003 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1540331888.003 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1540331888.004 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1540331888.004 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331888.004 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331888.004 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331888.004 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1540331888.005 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1540331888.005 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1540331888.005 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540331888.005 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331888.005 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.005 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.005 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331888.005 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.005 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.005 * [misc]backup-simplify: Simplify 2 into 2 1540331888.005 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.006 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.006 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.006 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.006 * [misc]taylor: Taking taylor expansion of n in n 1540331888.006 * [misc]backup-simplify: Simplify 0 into 0 1540331888.006 * [misc]backup-simplify: Simplify 1 into 1 1540331888.006 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.006 * [misc]backup-simplify: Simplify PI into PI 1540331888.006 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.006 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.007 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.007 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331888.007 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.007 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.007 * [misc]backup-simplify: Simplify 0 into 0 1540331888.007 * [misc]backup-simplify: Simplify 0 into 0 1540331888.008 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1540331888.009 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1540331888.011 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1540331888.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331888.012 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.012 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.012 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1540331888.015 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1540331888.015 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331888.016 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331888.019 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1540331888.019 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.019 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.019 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.019 * [misc]backup-simplify: Simplify 2 into 2 1540331888.019 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.020 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331888.020 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331888.020 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.020 * [misc]backup-simplify: Simplify 2 into 2 1540331888.020 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.020 * [misc]taylor: Taking taylor expansion of n in n 1540331888.020 * [misc]backup-simplify: Simplify 0 into 0 1540331888.020 * [misc]backup-simplify: Simplify 1 into 1 1540331888.020 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.020 * [misc]backup-simplify: Simplify PI into PI 1540331888.020 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.020 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331888.021 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.022 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331888.022 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.022 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.023 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.023 * [misc]taylor: Taking taylor expansion of n in n 1540331888.023 * [misc]backup-simplify: Simplify 0 into 0 1540331888.023 * [misc]backup-simplify: Simplify 1 into 1 1540331888.023 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.023 * [misc]backup-simplify: Simplify PI into PI 1540331888.023 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.024 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.024 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.024 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.024 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540331888.024 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331888.024 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.024 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.024 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331888.025 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.025 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.025 * [misc]backup-simplify: Simplify 2 into 2 1540331888.025 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.025 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.025 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.025 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.025 * [misc]taylor: Taking taylor expansion of n in n 1540331888.025 * [misc]backup-simplify: Simplify 0 into 0 1540331888.025 * [misc]backup-simplify: Simplify 1 into 1 1540331888.025 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.025 * [misc]backup-simplify: Simplify PI into PI 1540331888.026 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.026 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.027 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.028 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.029 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1540331888.029 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.030 * [misc]backup-simplify: Simplify 0 into 0 1540331888.032 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.034 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.035 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.037 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.037 * [misc]backup-simplify: Simplify 0 into 0 1540331888.038 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540331888.039 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1540331888.043 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1540331888.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331888.043 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.044 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1540331888.047 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1540331888.048 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331888.049 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331888.054 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1540331888.054 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.054 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.054 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.054 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.054 * [misc]backup-simplify: Simplify 2 into 2 1540331888.054 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.055 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.055 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331888.055 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331888.055 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.055 * [misc]backup-simplify: Simplify 2 into 2 1540331888.055 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.055 * [misc]taylor: Taking taylor expansion of n in n 1540331888.055 * [misc]backup-simplify: Simplify 0 into 0 1540331888.055 * [misc]backup-simplify: Simplify 1 into 1 1540331888.055 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.055 * [misc]backup-simplify: Simplify PI into PI 1540331888.055 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.056 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331888.056 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.057 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331888.058 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.058 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.058 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.058 * [misc]taylor: Taking taylor expansion of n in n 1540331888.058 * [misc]backup-simplify: Simplify 0 into 0 1540331888.058 * [misc]backup-simplify: Simplify 1 into 1 1540331888.058 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.058 * [misc]backup-simplify: Simplify PI into PI 1540331888.058 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.059 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.060 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.060 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.060 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.060 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.060 * [misc]backup-simplify: Simplify 2 into 2 1540331888.060 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.060 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.060 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540331888.060 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540331888.061 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.061 * [misc]backup-simplify: Simplify 2 into 2 1540331888.061 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.061 * [misc]taylor: Taking taylor expansion of n in n 1540331888.061 * [misc]backup-simplify: Simplify 0 into 0 1540331888.061 * [misc]backup-simplify: Simplify 1 into 1 1540331888.061 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.061 * [misc]backup-simplify: Simplify PI into PI 1540331888.061 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.061 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331888.062 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.063 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540331888.063 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.064 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.064 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.064 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.064 * [misc]taylor: Taking taylor expansion of n in n 1540331888.064 * [misc]backup-simplify: Simplify 0 into 0 1540331888.064 * [misc]backup-simplify: Simplify 1 into 1 1540331888.064 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.065 * [misc]backup-simplify: Simplify PI into PI 1540331888.065 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.066 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.066 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.066 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540331888.066 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331888.066 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.066 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.067 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331888.067 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331888.067 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.067 * [misc]backup-simplify: Simplify 2 into 2 1540331888.067 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331888.067 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331888.067 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331888.067 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331888.067 * [misc]taylor: Taking taylor expansion of n in n 1540331888.067 * [misc]backup-simplify: Simplify 0 into 0 1540331888.067 * [misc]backup-simplify: Simplify 1 into 1 1540331888.067 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.067 * [misc]backup-simplify: Simplify PI into PI 1540331888.068 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331888.068 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331888.068 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.069 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331888.070 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.070 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1540331888.071 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1540331888.071 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.074 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.075 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.076 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1540331888.077 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1540331888.078 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.078 * [misc]backup-simplify: Simplify 0 into 0 1540331888.079 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331888.080 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540331888.082 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331888.082 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540331888.083 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540331888.084 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540331888.085 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1540331888.086 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.087 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.088 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331888.091 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1540331888.093 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540331888.096 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540331888.096 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331888.098 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540331888.098 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540331888.100 * [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)))) 1540331888.103 * [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)))) 1540331888.105 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540331888.106 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540331888.111 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1540331888.112 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1540331888.112 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1540331888.112 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of k in n 1540331888.112 * [misc]backup-simplify: Simplify k into k 1540331888.112 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331888.112 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331888.112 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of k in n 1540331888.112 * [misc]backup-simplify: Simplify k into k 1540331888.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.112 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331888.112 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331888.113 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.113 * [misc]backup-simplify: Simplify 2 into 2 1540331888.113 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.113 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.113 * [misc]backup-simplify: Simplify PI into PI 1540331888.113 * [misc]taylor: Taking taylor expansion of n in n 1540331888.113 * [misc]backup-simplify: Simplify 0 into 0 1540331888.113 * [misc]backup-simplify: Simplify 1 into 1 1540331888.113 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.113 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331888.114 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.114 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.114 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331888.114 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331888.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331888.116 * [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))) 1540331888.117 * [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)))) 1540331888.117 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331888.117 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331888.117 * [misc]taylor: Taking taylor expansion of k in k 1540331888.117 * [misc]backup-simplify: Simplify 0 into 0 1540331888.117 * [misc]backup-simplify: Simplify 1 into 1 1540331888.118 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.118 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331888.118 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331888.118 * [misc]taylor: Taking taylor expansion of k in k 1540331888.118 * [misc]backup-simplify: Simplify 0 into 0 1540331888.118 * [misc]backup-simplify: Simplify 1 into 1 1540331888.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331888.119 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331888.119 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331888.119 * [misc]taylor: Taking taylor expansion of 2 in k 1540331888.119 * [misc]backup-simplify: Simplify 2 into 2 1540331888.119 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331888.119 * [misc]taylor: Taking taylor expansion of PI in k 1540331888.119 * [misc]backup-simplify: Simplify PI into PI 1540331888.119 * [misc]taylor: Taking taylor expansion of n in k 1540331888.119 * [misc]backup-simplify: Simplify n into n 1540331888.119 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331888.119 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331888.119 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331888.119 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331888.120 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331888.120 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331888.120 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331888.120 * [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)))) 1540331888.120 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331888.120 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331888.120 * [misc]taylor: Taking taylor expansion of k in k 1540331888.120 * [misc]backup-simplify: Simplify 0 into 0 1540331888.120 * [misc]backup-simplify: Simplify 1 into 1 1540331888.121 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.121 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331888.121 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331888.121 * [misc]taylor: Taking taylor expansion of k in k 1540331888.122 * [misc]backup-simplify: Simplify 0 into 0 1540331888.122 * [misc]backup-simplify: Simplify 1 into 1 1540331888.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331888.122 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540331888.122 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540331888.122 * [misc]taylor: Taking taylor expansion of 2 in k 1540331888.122 * [misc]backup-simplify: Simplify 2 into 2 1540331888.122 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331888.122 * [misc]taylor: Taking taylor expansion of PI in k 1540331888.122 * [misc]backup-simplify: Simplify PI into PI 1540331888.122 * [misc]taylor: Taking taylor expansion of n in k 1540331888.122 * [misc]backup-simplify: Simplify n into n 1540331888.122 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331888.122 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540331888.122 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540331888.123 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331888.123 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331888.123 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331888.123 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540331888.123 * [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)))) 1540331888.124 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1540331888.124 * [misc]taylor: Taking taylor expansion of 0 in n 1540331888.124 * [misc]backup-simplify: Simplify 0 into 0 1540331888.124 * [misc]backup-simplify: Simplify 0 into 0 1540331888.124 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540331888.124 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.125 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of k in n 1540331888.125 * [misc]backup-simplify: Simplify k into k 1540331888.125 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.125 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.125 * [misc]backup-simplify: Simplify 2 into 2 1540331888.125 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.125 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.125 * [misc]backup-simplify: Simplify PI into PI 1540331888.125 * [misc]taylor: Taking taylor expansion of n in n 1540331888.125 * [misc]backup-simplify: Simplify 0 into 0 1540331888.125 * [misc]backup-simplify: Simplify 1 into 1 1540331888.126 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.126 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331888.127 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.127 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.127 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331888.127 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331888.128 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331888.128 * [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))) 1540331888.129 * [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)))) 1540331888.130 * [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))))) 1540331888.131 * [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)))))) 1540331888.132 * [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)))))) 1540331888.132 * [misc]backup-simplify: Simplify 0 into 0 1540331888.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331888.134 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540331888.134 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.134 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.134 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.134 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.134 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of k in n 1540331888.134 * [misc]backup-simplify: Simplify k into k 1540331888.134 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.134 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.134 * [misc]backup-simplify: Simplify 2 into 2 1540331888.134 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.134 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.135 * [misc]backup-simplify: Simplify PI into PI 1540331888.135 * [misc]taylor: Taking taylor expansion of n in n 1540331888.135 * [misc]backup-simplify: Simplify 0 into 0 1540331888.135 * [misc]backup-simplify: Simplify 1 into 1 1540331888.135 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.135 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331888.136 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.136 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.136 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331888.136 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331888.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331888.138 * [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))) 1540331888.138 * [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)))) 1540331888.139 * [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))))) 1540331888.140 * [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)))))) 1540331888.141 * [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)))))) 1540331888.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331888.143 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540331888.146 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540331888.147 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331888.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331888.147 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331888.149 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540331888.151 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331888.152 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540331888.152 * [misc]backup-simplify: Simplify (- 0) into 0 1540331888.152 * [misc]backup-simplify: Simplify 0 into 0 1540331888.152 * [misc]backup-simplify: Simplify 0 into 0 1540331888.153 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331888.154 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1540331888.154 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.154 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.154 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.154 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.154 * [misc]taylor: Taking taylor expansion of k in n 1540331888.154 * [misc]backup-simplify: Simplify k into k 1540331888.155 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.155 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540331888.155 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540331888.155 * [misc]taylor: Taking taylor expansion of 2 in n 1540331888.155 * [misc]backup-simplify: Simplify 2 into 2 1540331888.155 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.155 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.155 * [misc]backup-simplify: Simplify PI into PI 1540331888.155 * [misc]taylor: Taking taylor expansion of n in n 1540331888.155 * [misc]backup-simplify: Simplify 0 into 0 1540331888.155 * [misc]backup-simplify: Simplify 1 into 1 1540331888.155 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.156 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540331888.156 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540331888.156 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.156 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331888.156 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331888.157 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540331888.158 * [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))) 1540331888.159 * [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)))) 1540331888.159 * [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))))) 1540331888.160 * [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)))))) 1540331888.160 * [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)))))) 1540331888.162 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1540331888.163 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1540331888.163 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1540331888.163 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of k in n 1540331888.163 * [misc]backup-simplify: Simplify k into k 1540331888.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.163 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of -2 in n 1540331888.163 * [misc]backup-simplify: Simplify -2 into -2 1540331888.163 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.163 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.163 * [misc]backup-simplify: Simplify PI into PI 1540331888.163 * [misc]taylor: Taking taylor expansion of n in n 1540331888.163 * [misc]backup-simplify: Simplify 0 into 0 1540331888.163 * [misc]backup-simplify: Simplify 1 into 1 1540331888.164 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.164 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331888.164 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331888.164 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.164 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331888.165 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331888.165 * [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))) 1540331888.166 * [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)))) 1540331888.166 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331888.166 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331888.166 * [misc]taylor: Taking taylor expansion of -1 in n 1540331888.166 * [misc]backup-simplify: Simplify -1 into -1 1540331888.166 * [misc]taylor: Taking taylor expansion of k in n 1540331888.166 * [misc]backup-simplify: Simplify k into k 1540331888.166 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331888.166 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331888.166 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331888.166 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331888.167 * [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))) 1540331888.167 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of k in k 1540331888.167 * [misc]backup-simplify: Simplify 0 into 0 1540331888.167 * [misc]backup-simplify: Simplify 1 into 1 1540331888.167 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331888.167 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.167 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of -2 in k 1540331888.167 * [misc]backup-simplify: Simplify -2 into -2 1540331888.167 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331888.167 * [misc]taylor: Taking taylor expansion of PI in k 1540331888.167 * [misc]backup-simplify: Simplify PI into PI 1540331888.167 * [misc]taylor: Taking taylor expansion of n in k 1540331888.167 * [misc]backup-simplify: Simplify n into n 1540331888.167 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331888.167 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331888.168 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331888.168 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331888.168 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331888.168 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331888.168 * [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))) 1540331888.168 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331888.168 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331888.168 * [misc]taylor: Taking taylor expansion of -1 in k 1540331888.168 * [misc]backup-simplify: Simplify -1 into -1 1540331888.168 * [misc]taylor: Taking taylor expansion of k in k 1540331888.168 * [misc]backup-simplify: Simplify 0 into 0 1540331888.168 * [misc]backup-simplify: Simplify 1 into 1 1540331888.168 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331888.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.169 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331888.169 * [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)))) 1540331888.169 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.169 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of k in k 1540331888.169 * [misc]backup-simplify: Simplify 0 into 0 1540331888.169 * [misc]backup-simplify: Simplify 1 into 1 1540331888.169 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331888.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331888.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.169 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of -2 in k 1540331888.169 * [misc]backup-simplify: Simplify -2 into -2 1540331888.169 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540331888.169 * [misc]taylor: Taking taylor expansion of PI in k 1540331888.169 * [misc]backup-simplify: Simplify PI into PI 1540331888.169 * [misc]taylor: Taking taylor expansion of n in k 1540331888.169 * [misc]backup-simplify: Simplify n into n 1540331888.169 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540331888.170 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540331888.170 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540331888.170 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331888.170 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331888.170 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540331888.170 * [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))) 1540331888.170 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331888.170 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331888.170 * [misc]taylor: Taking taylor expansion of -1 in k 1540331888.170 * [misc]backup-simplify: Simplify -1 into -1 1540331888.170 * [misc]taylor: Taking taylor expansion of k in k 1540331888.170 * [misc]backup-simplify: Simplify 0 into 0 1540331888.170 * [misc]backup-simplify: Simplify 1 into 1 1540331888.170 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331888.170 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331888.171 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331888.171 * [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)))) 1540331888.171 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.171 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.171 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of -2 in n 1540331888.171 * [misc]backup-simplify: Simplify -2 into -2 1540331888.171 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.171 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.171 * [misc]backup-simplify: Simplify PI into PI 1540331888.171 * [misc]taylor: Taking taylor expansion of n in n 1540331888.171 * [misc]backup-simplify: Simplify 0 into 0 1540331888.171 * [misc]backup-simplify: Simplify 1 into 1 1540331888.171 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.172 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331888.172 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331888.172 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331888.172 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.172 * [misc]taylor: Taking taylor expansion of k in n 1540331888.172 * [misc]backup-simplify: Simplify k into k 1540331888.172 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.172 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331888.173 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.173 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331888.173 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331888.174 * [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)))) 1540331888.174 * [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))))) 1540331888.175 * [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))))) 1540331888.175 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331888.176 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331888.176 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331888.176 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.176 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.176 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of -2 in n 1540331888.176 * [misc]backup-simplify: Simplify -2 into -2 1540331888.176 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.176 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.176 * [misc]backup-simplify: Simplify PI into PI 1540331888.176 * [misc]taylor: Taking taylor expansion of n in n 1540331888.176 * [misc]backup-simplify: Simplify 0 into 0 1540331888.176 * [misc]backup-simplify: Simplify 1 into 1 1540331888.177 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.177 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331888.177 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331888.177 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331888.177 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.177 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.177 * [misc]taylor: Taking taylor expansion of k in n 1540331888.177 * [misc]backup-simplify: Simplify k into k 1540331888.177 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.177 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.177 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.178 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331888.178 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.178 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331888.178 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331888.179 * [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)))) 1540331888.179 * [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))))) 1540331888.180 * [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)))))) 1540331888.182 * [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)))))) 1540331888.183 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331888.183 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331888.183 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331888.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331888.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540331888.184 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540331888.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540331888.186 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540331888.188 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331888.189 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1540331888.189 * [misc]backup-simplify: Simplify 0 into 0 1540331888.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331888.190 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331888.192 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331888.192 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331888.192 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331888.192 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of -2 in n 1540331888.192 * [misc]backup-simplify: Simplify -2 into -2 1540331888.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540331888.192 * [misc]taylor: Taking taylor expansion of PI in n 1540331888.192 * [misc]backup-simplify: Simplify PI into PI 1540331888.192 * [misc]taylor: Taking taylor expansion of n in n 1540331888.192 * [misc]backup-simplify: Simplify 0 into 0 1540331888.193 * [misc]backup-simplify: Simplify 1 into 1 1540331888.193 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540331888.193 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540331888.194 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540331888.194 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331888.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331888.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331888.194 * [misc]taylor: Taking taylor expansion of k in n 1540331888.194 * [misc]backup-simplify: Simplify k into k 1540331888.194 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331888.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331888.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331888.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540331888.195 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331888.195 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331888.196 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1540331888.196 * [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)))) 1540331888.197 * [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))))) 1540331888.198 * [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)))))) 1540331888.199 * [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)))))) 1540331888.203 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1540331888.203 * * * [misc]progress: simplifying candidates 1540331888.203 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1540331888.203 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1540331888.203 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1540331888.203 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540331888.205 * * [misc]simplify: iters left: 6 (11 enodes) 1540331888.210 * * [misc]simplify: iters left: 5 (21 enodes) 1540331888.223 * * [misc]simplify: iters left: 4 (47 enodes) 1540331888.252 * * [misc]simplify: iters left: 3 (113 enodes) 1540331888.348 * * [misc]simplify: iters left: 2 (328 enodes) 1540331888.923 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540331888.923 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1540331888.923 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1540331888.923 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1540331888.923 * [enter]simplify: Simplifying (* PI (* n 2)) 1540331888.924 * * [misc]simplify: iters left: 4 (5 enodes) 1540331888.927 * * [misc]simplify: iters left: 3 (9 enodes) 1540331888.931 * * [misc]simplify: iters left: 2 (15 enodes) 1540331888.936 * * [misc]simplify: iters left: 1 (17 enodes) 1540331888.942 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540331888.942 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1540331888.942 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1540331888.943 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540331888.943 * * [misc]simplify: iters left: 5 (8 enodes) 1540331888.947 * * [misc]simplify: iters left: 4 (12 enodes) 1540331888.952 * * [misc]simplify: iters left: 3 (18 enodes) 1540331888.959 * * [misc]simplify: iters left: 2 (20 enodes) 1540331888.966 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540331888.966 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1540331888.966 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1540331888.966 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331888.967 * * [misc]simplify: iters left: 5 (6 enodes) 1540331888.970 * * [misc]simplify: iters left: 4 (8 enodes) 1540331888.973 * * [misc]simplify: iters left: 3 (11 enodes) 1540331888.977 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331888.977 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1540331888.977 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1540331888.977 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331888.977 * * [misc]simplify: iters left: 5 (6 enodes) 1540331888.980 * * [misc]simplify: iters left: 4 (8 enodes) 1540331888.983 * * [misc]simplify: iters left: 3 (11 enodes) 1540331888.987 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331888.987 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1540331888.987 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1540331888.987 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331888.987 * * [misc]simplify: iters left: 4 (5 enodes) 1540331888.990 * * [misc]simplify: iters left: 3 (7 enodes) 1540331888.992 * * [misc]simplify: iters left: 2 (10 enodes) 1540331888.996 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331888.996 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1540331888.996 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1540331888.996 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331888.997 * * [misc]simplify: iters left: 5 (9 enodes) 1540331889.001 * * [misc]simplify: iters left: 4 (15 enodes) 1540331889.007 * * [misc]simplify: iters left: 3 (21 enodes) 1540331889.014 * * [misc]simplify: iters left: 2 (22 enodes) 1540331889.022 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331889.022 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331889.022 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1540331889.022 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331889.023 * * [misc]simplify: iters left: 5 (9 enodes) 1540331889.029 * * [misc]simplify: iters left: 4 (15 enodes) 1540331889.035 * * [misc]simplify: iters left: 3 (21 enodes) 1540331889.042 * * [misc]simplify: iters left: 2 (22 enodes) 1540331889.049 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331889.050 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331889.050 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1540331889.050 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540331889.050 * * [misc]simplify: iters left: 5 (7 enodes) 1540331889.053 * * [misc]simplify: iters left: 4 (9 enodes) 1540331889.057 * * [misc]simplify: iters left: 3 (12 enodes) 1540331889.061 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540331889.061 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331889.061 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1540331889.061 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1540331889.062 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1540331889.063 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1540331889.064 * * [misc]simplify: iters left: 6 (14 enodes) 1540331889.071 * * [misc]simplify: iters left: 5 (26 enodes) 1540331889.086 * * [misc]simplify: iters left: 4 (59 enodes) 1540331889.125 * * [misc]simplify: iters left: 3 (172 enodes) 1540331889.315 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1540331889.315 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1540331889.316 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1540331889.316 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1540331889.317 * * [misc]simplify: iters left: 6 (14 enodes) 1540331889.323 * * [misc]simplify: iters left: 5 (26 enodes) 1540331889.336 * * [misc]simplify: iters left: 4 (59 enodes) 1540331889.375 * * [misc]simplify: iters left: 3 (172 enodes) 1540331889.569 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1540331889.569 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1540331889.569 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1540331889.569 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331889.571 * * [misc]simplify: iters left: 6 (14 enodes) 1540331889.577 * * [misc]simplify: iters left: 5 (24 enodes) 1540331889.588 * * [misc]simplify: iters left: 4 (46 enodes) 1540331889.612 * * [misc]simplify: iters left: 3 (105 enodes) 1540331889.700 * * [misc]simplify: iters left: 2 (354 enodes) 1540331890.298 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1540331890.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1540331890.298 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1540331890.298 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1540331890.298 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1540331890.299 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331890.301 * * [misc]simplify: iters left: 6 (16 enodes) 1540331890.310 * * [misc]simplify: iters left: 5 (31 enodes) 1540331890.326 * * [misc]simplify: iters left: 4 (70 enodes) 1540331890.361 * * [misc]simplify: iters left: 3 (130 enodes) 1540331890.420 * * [misc]simplify: iters left: 2 (206 enodes) 1540331890.535 * * [misc]simplify: iters left: 1 (288 enodes) 1540331890.727 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1540331890.727 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1540331890.727 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1540331890.727 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1540331890.727 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1540331890.728 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1540331890.728 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1540331890.728 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1540331890.729 * * [misc]simplify: iters left: 6 (12 enodes) 1540331890.734 * * [misc]simplify: iters left: 5 (19 enodes) 1540331890.741 * * [misc]simplify: iters left: 4 (27 enodes) 1540331890.749 * * [misc]simplify: iters left: 3 (29 enodes) 1540331890.759 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1540331890.759 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331890.759 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331890.760 * * [misc]simplify: iters left: 6 (12 enodes) 1540331890.765 * * [misc]simplify: iters left: 5 (18 enodes) 1540331890.774 * * [misc]simplify: iters left: 4 (24 enodes) 1540331890.781 * * [misc]simplify: iters left: 3 (25 enodes) 1540331890.789 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331890.789 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331890.790 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1540331890.790 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1540331890.791 * * [misc]simplify: iters left: 6 (12 enodes) 1540331890.796 * * [misc]simplify: iters left: 5 (19 enodes) 1540331890.804 * * [misc]simplify: iters left: 4 (27 enodes) 1540331890.812 * * [misc]simplify: iters left: 3 (29 enodes) 1540331890.822 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1540331890.822 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331890.822 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331890.824 * * [misc]simplify: iters left: 6 (12 enodes) 1540331890.829 * * [misc]simplify: iters left: 5 (18 enodes) 1540331890.835 * * [misc]simplify: iters left: 4 (24 enodes) 1540331890.843 * * [misc]simplify: iters left: 3 (25 enodes) 1540331890.851 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331890.851 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331890.851 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1540331890.852 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1540331890.853 * * [misc]simplify: iters left: 6 (11 enodes) 1540331890.857 * * [misc]simplify: iters left: 5 (15 enodes) 1540331890.863 * * [misc]simplify: iters left: 4 (20 enodes) 1540331890.869 * * [misc]simplify: iters left: 3 (21 enodes) 1540331890.876 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1540331890.876 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331890.877 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331890.878 * * [misc]simplify: iters left: 6 (11 enodes) 1540331890.882 * * [misc]simplify: iters left: 5 (14 enodes) 1540331890.886 * * [misc]simplify: iters left: 4 (17 enodes) 1540331890.892 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331890.892 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331890.892 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1540331890.892 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540331890.896 * * [misc]simplify: iters left: 6 (16 enodes) 1540331890.903 * * [misc]simplify: iters left: 5 (28 enodes) 1540331890.915 * * [misc]simplify: iters left: 4 (46 enodes) 1540331890.929 * * [misc]simplify: iters left: 3 (50 enodes) 1540331890.943 * * [misc]simplify: iters left: 2 (53 enodes) 1540331890.962 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540331890.962 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331890.963 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331890.964 * * [misc]simplify: iters left: 6 (14 enodes) 1540331890.970 * * [misc]simplify: iters left: 5 (20 enodes) 1540331890.978 * * [misc]simplify: iters left: 4 (29 enodes) 1540331890.987 * * [misc]simplify: iters left: 3 (30 enodes) 1540331890.997 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331890.997 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540331890.997 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1540331890.997 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331890.999 * * [misc]simplify: iters left: 6 (15 enodes) 1540331891.005 * * [misc]simplify: iters left: 5 (23 enodes) 1540331891.014 * * [misc]simplify: iters left: 4 (34 enodes) 1540331891.026 * * [misc]simplify: iters left: 3 (36 enodes) 1540331891.038 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.038 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331891.039 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.040 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.046 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.054 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.063 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.072 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.072 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540331891.072 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1540331891.073 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540331891.073 * * [misc]simplify: iters left: 6 (6 enodes) 1540331891.076 * * [misc]simplify: iters left: 5 (10 enodes) 1540331891.080 * * [misc]simplify: iters left: 4 (16 enodes) 1540331891.085 * * [misc]simplify: iters left: 3 (18 enodes) 1540331891.089 * * [misc]simplify: iters left: 2 (23 enodes) 1540331891.095 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331891.095 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540331891.095 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.096 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.102 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.110 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.118 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.127 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540331891.127 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331891.128 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1540331891.128 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1540331891.129 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.133 * * [misc]simplify: iters left: 5 (16 enodes) 1540331891.139 * * [misc]simplify: iters left: 4 (22 enodes) 1540331891.147 * * [misc]simplify: iters left: 3 (23 enodes) 1540331891.154 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1540331891.155 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331891.155 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.156 * * [misc]simplify: iters left: 6 (12 enodes) 1540331891.161 * * [misc]simplify: iters left: 5 (18 enodes) 1540331891.168 * * [misc]simplify: iters left: 4 (24 enodes) 1540331891.172 * * [misc]simplify: iters left: 3 (25 enodes) 1540331891.176 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331891.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331891.176 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1540331891.176 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1540331891.177 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.179 * * [misc]simplify: iters left: 5 (16 enodes) 1540331891.182 * * [misc]simplify: iters left: 4 (22 enodes) 1540331891.186 * * [misc]simplify: iters left: 3 (23 enodes) 1540331891.190 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1540331891.190 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331891.190 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.191 * * [misc]simplify: iters left: 6 (12 enodes) 1540331891.194 * * [misc]simplify: iters left: 5 (18 enodes) 1540331891.198 * * [misc]simplify: iters left: 4 (24 enodes) 1540331891.202 * * [misc]simplify: iters left: 3 (25 enodes) 1540331891.206 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331891.206 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1540331891.206 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1540331891.206 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331891.207 * * [misc]simplify: iters left: 6 (10 enodes) 1540331891.209 * * [misc]simplify: iters left: 5 (12 enodes) 1540331891.211 * * [misc]simplify: iters left: 4 (15 enodes) 1540331891.214 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331891.214 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331891.214 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.215 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.217 * * [misc]simplify: iters left: 5 (14 enodes) 1540331891.220 * * [misc]simplify: iters left: 4 (17 enodes) 1540331891.223 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.223 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331891.223 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1540331891.223 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540331891.225 * * [misc]simplify: iters left: 6 (15 enodes) 1540331891.229 * * [misc]simplify: iters left: 5 (23 enodes) 1540331891.234 * * [misc]simplify: iters left: 4 (32 enodes) 1540331891.240 * * [misc]simplify: iters left: 3 (34 enodes) 1540331891.246 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540331891.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331891.246 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.247 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.250 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.255 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.259 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.264 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.265 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540331891.265 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1540331891.265 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.266 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.269 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.273 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.278 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.283 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.283 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331891.283 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.284 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.287 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.291 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.297 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.302 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.302 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1540331891.302 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1540331891.302 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540331891.303 * * [misc]simplify: iters left: 4 (5 enodes) 1540331891.304 * * [misc]simplify: iters left: 3 (7 enodes) 1540331891.305 * * [misc]simplify: iters left: 2 (9 enodes) 1540331891.306 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331891.306 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540331891.307 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.307 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.313 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.321 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.330 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.340 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540331891.340 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331891.340 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1540331891.340 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1540331891.341 * * [misc]simplify: iters left: 6 (9 enodes) 1540331891.345 * * [misc]simplify: iters left: 5 (16 enodes) 1540331891.351 * * [misc]simplify: iters left: 4 (22 enodes) 1540331891.358 * * [misc]simplify: iters left: 3 (23 enodes) 1540331891.365 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1540331891.365 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331891.365 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.366 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.371 * * [misc]simplify: iters left: 5 (17 enodes) 1540331891.378 * * [misc]simplify: iters left: 4 (23 enodes) 1540331891.385 * * [misc]simplify: iters left: 3 (24 enodes) 1540331891.394 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540331891.394 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1540331891.394 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1540331891.394 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1540331891.395 * * [misc]simplify: iters left: 6 (9 enodes) 1540331891.399 * * [misc]simplify: iters left: 5 (16 enodes) 1540331891.405 * * [misc]simplify: iters left: 4 (22 enodes) 1540331891.414 * * [misc]simplify: iters left: 3 (23 enodes) 1540331891.421 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1540331891.421 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1540331891.422 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.423 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.428 * * [misc]simplify: iters left: 5 (17 enodes) 1540331891.435 * * [misc]simplify: iters left: 4 (23 enodes) 1540331891.442 * * [misc]simplify: iters left: 3 (24 enodes) 1540331891.451 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540331891.451 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1540331891.451 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1540331891.451 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1540331891.452 * * [misc]simplify: iters left: 6 (9 enodes) 1540331891.456 * * [misc]simplify: iters left: 5 (13 enodes) 1540331891.460 * * [misc]simplify: iters left: 4 (16 enodes) 1540331891.466 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1540331891.466 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331891.466 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.467 * * [misc]simplify: iters left: 6 (10 enodes) 1540331891.471 * * [misc]simplify: iters left: 5 (13 enodes) 1540331891.476 * * [misc]simplify: iters left: 4 (16 enodes) 1540331891.482 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.482 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331891.482 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1540331891.482 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540331891.483 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.491 * * [misc]simplify: iters left: 5 (24 enodes) 1540331891.500 * * [misc]simplify: iters left: 4 (33 enodes) 1540331891.510 * * [misc]simplify: iters left: 3 (34 enodes) 1540331891.522 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1540331891.522 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331891.522 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.523 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.529 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.537 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.548 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.557 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331891.557 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1540331891.558 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1540331891.558 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.559 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.564 * * [misc]simplify: iters left: 5 (21 enodes) 1540331891.572 * * [misc]simplify: iters left: 4 (30 enodes) 1540331891.581 * * [misc]simplify: iters left: 3 (31 enodes) 1540331891.590 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1540331891.590 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1540331891.590 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.590 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.594 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.598 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.602 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.607 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331891.607 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1540331891.607 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1540331891.608 * [enter]simplify: Simplifying (/ 1 1) 1540331891.608 * * [misc]simplify: iters left: 2 (2 enodes) 1540331891.608 * * [misc]simplify: iters left: 1 (4 enodes) 1540331891.609 * [exit]simplify: Simplified to 1 1540331891.609 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540331891.609 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.610 * * [misc]simplify: iters left: 6 (12 enodes) 1540331891.612 * * [misc]simplify: iters left: 5 (18 enodes) 1540331891.616 * * [misc]simplify: iters left: 4 (27 enodes) 1540331891.621 * * [misc]simplify: iters left: 3 (29 enodes) 1540331891.626 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.626 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1540331891.626 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1540331891.626 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1540331891.626 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1540331891.626 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1540331891.626 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331891.627 * * [misc]simplify: iters left: 5 (9 enodes) 1540331891.629 * * [misc]simplify: iters left: 4 (15 enodes) 1540331891.632 * * [misc]simplify: iters left: 3 (21 enodes) 1540331891.637 * * [misc]simplify: iters left: 2 (22 enodes) 1540331891.641 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331891.641 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331891.641 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1540331891.641 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540331891.642 * * [misc]simplify: iters left: 5 (9 enodes) 1540331891.644 * * [misc]simplify: iters left: 4 (15 enodes) 1540331891.647 * * [misc]simplify: iters left: 3 (21 enodes) 1540331891.651 * * [misc]simplify: iters left: 2 (22 enodes) 1540331891.655 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540331891.655 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331891.655 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1540331891.655 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540331891.655 * * [misc]simplify: iters left: 5 (8 enodes) 1540331891.657 * * [misc]simplify: iters left: 4 (11 enodes) 1540331891.659 * * [misc]simplify: iters left: 3 (14 enodes) 1540331891.661 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540331891.661 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331891.661 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1540331891.662 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.662 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.665 * * [misc]simplify: iters left: 5 (17 enodes) 1540331891.669 * * [misc]simplify: iters left: 4 (26 enodes) 1540331891.674 * * [misc]simplify: iters left: 3 (27 enodes) 1540331891.683 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540331891.683 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331891.683 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1540331891.683 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.684 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.689 * * [misc]simplify: iters left: 5 (17 enodes) 1540331891.696 * * [misc]simplify: iters left: 4 (26 enodes) 1540331891.704 * * [misc]simplify: iters left: 3 (27 enodes) 1540331891.713 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540331891.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331891.713 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1540331891.713 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1540331891.714 * * [misc]simplify: iters left: 5 (10 enodes) 1540331891.718 * * [misc]simplify: iters left: 4 (16 enodes) 1540331891.724 * * [misc]simplify: iters left: 3 (25 enodes) 1540331891.733 * * [misc]simplify: iters left: 2 (26 enodes) 1540331891.741 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1540331891.741 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1540331891.741 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1540331891.741 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331891.742 * * [misc]simplify: iters left: 4 (4 enodes) 1540331891.743 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331891.743 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331891.743 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1540331891.743 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540331891.744 * * [misc]simplify: iters left: 2 (3 enodes) 1540331891.745 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331891.745 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331891.745 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1540331891.745 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1540331891.745 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540331891.746 * * [misc]simplify: iters left: 5 (8 enodes) 1540331891.749 * * [misc]simplify: iters left: 4 (12 enodes) 1540331891.755 * * [misc]simplify: iters left: 3 (18 enodes) 1540331891.761 * * [misc]simplify: iters left: 2 (20 enodes) 1540331891.768 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540331891.768 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1540331891.768 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1540331891.768 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1540331891.768 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1540331891.768 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1540331891.768 * [enter]simplify: Simplifying (- 1) 1540331891.768 * * [misc]simplify: iters left: 2 (2 enodes) 1540331891.770 * * [misc]simplify: iters left: 1 (5 enodes) 1540331891.771 * [exit]simplify: Simplified to -1 1540331891.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1540331891.771 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1540331891.771 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1540331891.772 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1540331891.773 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.774 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.779 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.787 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.796 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.807 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331891.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331891.807 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1540331891.807 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.809 * * [misc]simplify: iters left: 6 (13 enodes) 1540331891.814 * * [misc]simplify: iters left: 5 (19 enodes) 1540331891.822 * * [misc]simplify: iters left: 4 (28 enodes) 1540331891.831 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.842 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331891.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331891.842 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1540331891.842 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.844 * * [misc]simplify: iters left: 6 (12 enodes) 1540331891.849 * * [misc]simplify: iters left: 5 (18 enodes) 1540331891.855 * * [misc]simplify: iters left: 4 (24 enodes) 1540331891.866 * * [misc]simplify: iters left: 3 (25 enodes) 1540331891.875 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331891.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331891.875 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1540331891.875 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331891.876 * * [misc]simplify: iters left: 6 (12 enodes) 1540331891.882 * * [misc]simplify: iters left: 5 (18 enodes) 1540331891.888 * * [misc]simplify: iters left: 4 (24 enodes) 1540331891.896 * * [misc]simplify: iters left: 3 (25 enodes) 1540331891.905 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331891.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331891.905 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1540331891.905 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.906 * * [misc]simplify: iters left: 6 (11 enodes) 1540331891.912 * * [misc]simplify: iters left: 5 (14 enodes) 1540331891.917 * * [misc]simplify: iters left: 4 (17 enodes) 1540331891.923 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331891.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331891.923 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1540331891.923 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.924 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.931 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.939 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.948 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.958 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331891.958 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1540331891.959 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331891.960 * * [misc]simplify: iters left: 6 (14 enodes) 1540331891.966 * * [misc]simplify: iters left: 5 (20 enodes) 1540331891.973 * * [misc]simplify: iters left: 4 (29 enodes) 1540331891.982 * * [misc]simplify: iters left: 3 (30 enodes) 1540331891.991 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331891.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331891.991 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1540331891.992 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331891.994 * * [misc]simplify: iters left: 6 (13 enodes) 1540331892.000 * * [misc]simplify: iters left: 5 (19 enodes) 1540331892.008 * * [misc]simplify: iters left: 4 (28 enodes) 1540331892.019 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.029 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540331892.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1540331892.029 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1540331892.029 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331892.031 * * [misc]simplify: iters left: 6 (12 enodes) 1540331892.036 * * [misc]simplify: iters left: 5 (18 enodes) 1540331892.043 * * [misc]simplify: iters left: 4 (24 enodes) 1540331892.051 * * [misc]simplify: iters left: 3 (25 enodes) 1540331892.058 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331892.058 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331892.058 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1540331892.058 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331892.059 * * [misc]simplify: iters left: 6 (12 enodes) 1540331892.062 * * [misc]simplify: iters left: 5 (18 enodes) 1540331892.065 * * [misc]simplify: iters left: 4 (24 enodes) 1540331892.069 * * [misc]simplify: iters left: 3 (25 enodes) 1540331892.074 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1540331892.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1540331892.074 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1540331892.074 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331892.075 * * [misc]simplify: iters left: 6 (11 enodes) 1540331892.077 * * [misc]simplify: iters left: 5 (14 enodes) 1540331892.079 * * [misc]simplify: iters left: 4 (17 enodes) 1540331892.083 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331892.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331892.083 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1540331892.083 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331892.084 * * [misc]simplify: iters left: 6 (14 enodes) 1540331892.087 * * [misc]simplify: iters left: 5 (20 enodes) 1540331892.094 * * [misc]simplify: iters left: 4 (29 enodes) 1540331892.106 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.117 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331892.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331892.117 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1540331892.117 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331892.119 * * [misc]simplify: iters left: 6 (14 enodes) 1540331892.125 * * [misc]simplify: iters left: 5 (20 enodes) 1540331892.133 * * [misc]simplify: iters left: 4 (29 enodes) 1540331892.142 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.153 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1540331892.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1540331892.153 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1540331892.153 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.154 * * [misc]simplify: iters left: 6 (13 enodes) 1540331892.160 * * [misc]simplify: iters left: 5 (19 enodes) 1540331892.167 * * [misc]simplify: iters left: 4 (28 enodes) 1540331892.177 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.187 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1540331892.187 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1540331892.187 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1540331892.187 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331892.188 * * [misc]simplify: iters left: 6 (11 enodes) 1540331892.193 * * [misc]simplify: iters left: 5 (17 enodes) 1540331892.200 * * [misc]simplify: iters left: 4 (23 enodes) 1540331892.207 * * [misc]simplify: iters left: 3 (24 enodes) 1540331892.216 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540331892.216 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540331892.216 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1540331892.216 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1540331892.217 * * [misc]simplify: iters left: 6 (11 enodes) 1540331892.223 * * [misc]simplify: iters left: 5 (17 enodes) 1540331892.229 * * [misc]simplify: iters left: 4 (23 enodes) 1540331892.239 * * [misc]simplify: iters left: 3 (24 enodes) 1540331892.247 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1540331892.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1540331892.247 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1540331892.247 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331892.248 * * [misc]simplify: iters left: 6 (10 enodes) 1540331892.252 * * [misc]simplify: iters left: 5 (13 enodes) 1540331892.257 * * [misc]simplify: iters left: 4 (16 enodes) 1540331892.263 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331892.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331892.263 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1540331892.263 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331892.264 * * [misc]simplify: iters left: 6 (13 enodes) 1540331892.270 * * [misc]simplify: iters left: 5 (19 enodes) 1540331892.278 * * [misc]simplify: iters left: 4 (28 enodes) 1540331892.287 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.297 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331892.298 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331892.298 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1540331892.298 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540331892.299 * * [misc]simplify: iters left: 6 (13 enodes) 1540331892.305 * * [misc]simplify: iters left: 5 (19 enodes) 1540331892.312 * * [misc]simplify: iters left: 4 (28 enodes) 1540331892.322 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.332 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1540331892.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1540331892.332 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1540331892.332 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.334 * * [misc]simplify: iters left: 6 (12 enodes) 1540331892.339 * * [misc]simplify: iters left: 5 (18 enodes) 1540331892.347 * * [misc]simplify: iters left: 4 (27 enodes) 1540331892.356 * * [misc]simplify: iters left: 3 (29 enodes) 1540331892.366 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540331892.366 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1540331892.366 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.370 * * [misc]simplify: iters left: 6 (12 enodes) 1540331892.376 * * [misc]simplify: iters left: 5 (18 enodes) 1540331892.383 * * [misc]simplify: iters left: 4 (27 enodes) 1540331892.392 * * [misc]simplify: iters left: 3 (29 enodes) 1540331892.402 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1540331892.402 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1540331892.402 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540331892.403 * * [misc]simplify: iters left: 6 (12 enodes) 1540331892.409 * * [misc]simplify: iters left: 5 (20 enodes) 1540331892.416 * * [misc]simplify: iters left: 4 (29 enodes) 1540331892.421 * * [misc]simplify: iters left: 3 (30 enodes) 1540331892.426 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1540331892.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1540331892.426 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1540331892.426 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540331892.427 * * [misc]simplify: iters left: 5 (8 enodes) 1540331892.429 * * [misc]simplify: iters left: 4 (12 enodes) 1540331892.431 * * [misc]simplify: iters left: 3 (18 enodes) 1540331892.435 * * [misc]simplify: iters left: 2 (20 enodes) 1540331892.438 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540331892.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1540331892.438 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1540331892.438 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1540331892.439 * * [misc]simplify: iters left: 5 (10 enodes) 1540331892.441 * * [misc]simplify: iters left: 4 (16 enodes) 1540331892.445 * * [misc]simplify: iters left: 3 (25 enodes) 1540331892.449 * * [misc]simplify: iters left: 2 (26 enodes) 1540331892.453 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1540331892.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540331892.453 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1540331892.453 * [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))))) 1540331892.456 * * [misc]simplify: iters left: 6 (37 enodes) 1540331892.479 * * [misc]simplify: iters left: 5 (108 enodes) 1540331892.564 * * [misc]simplify: iters left: 4 (368 enodes) 1540331893.270 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1540331893.270 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1540331893.270 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1540331893.270 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540331893.272 * * [misc]simplify: iters left: 6 (15 enodes) 1540331893.282 * * [misc]simplify: iters left: 5 (33 enodes) 1540331893.297 * * [misc]simplify: iters left: 4 (64 enodes) 1540331893.340 * * [misc]simplify: iters left: 3 (179 enodes) 1540331893.588 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1540331893.588 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1540331893.588 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1540331893.588 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540331893.589 * * [misc]simplify: iters left: 6 (15 enodes) 1540331893.603 * * [misc]simplify: iters left: 5 (30 enodes) 1540331893.620 * * [misc]simplify: iters left: 4 (65 enodes) 1540331893.669 * * [misc]simplify: iters left: 3 (208 enodes) 1540331893.948 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1540331893.948 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1540331893.948 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1540331893.949 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331893.949 * * [misc]simplify: iters left: 4 (5 enodes) 1540331893.952 * * [misc]simplify: iters left: 3 (9 enodes) 1540331893.956 * * [misc]simplify: iters left: 2 (15 enodes) 1540331893.962 * * [misc]simplify: iters left: 1 (17 enodes) 1540331893.967 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331893.968 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540331893.968 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1540331893.968 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331893.968 * * [misc]simplify: iters left: 4 (5 enodes) 1540331893.971 * * [misc]simplify: iters left: 3 (9 enodes) 1540331893.976 * * [misc]simplify: iters left: 2 (15 enodes) 1540331893.981 * * [misc]simplify: iters left: 1 (17 enodes) 1540331893.987 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331893.987 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540331893.987 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1540331893.987 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540331893.988 * * [misc]simplify: iters left: 4 (5 enodes) 1540331893.991 * * [misc]simplify: iters left: 3 (9 enodes) 1540331893.995 * * [misc]simplify: iters left: 2 (15 enodes) 1540331894.000 * * [misc]simplify: iters left: 1 (17 enodes) 1540331894.006 * [exit]simplify: Simplified to (* (* PI n) 2) 1540331894.006 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1540331894.006 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1540331894.007 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1540331894.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540331894.007 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1540331894.007 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1540331894.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540331894.007 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1540331894.008 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1540331894.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1540331894.008 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1540331894.008 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1540331894.008 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331894.008 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1540331894.008 * [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)))))))) 1540331894.008 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331894.008 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1540331894.009 * [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))))))))))) 1540331894.009 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331894.009 * * * [misc]progress: adding candidates to table 1540331897.495 * * [misc]progress: iteration 3 / 4 1540331897.495 * * * [misc]progress: picking best candidate 1540331897.639 * * * * [misc]pick: Picked # 1540331897.639 * * * [misc]progress: localizing error 1540331897.686 * * * [misc]progress: generating rewritten candidates 1540331897.686 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1540331897.715 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1540331897.731 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540331897.873 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1540331897.940 * * * [misc]progress: generating series expansions 1540331897.940 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1540331897.941 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540331897.941 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540331897.941 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.941 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.941 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.941 * [misc]taylor: Taking taylor expansion of k in k 1540331897.941 * [misc]backup-simplify: Simplify 0 into 0 1540331897.941 * [misc]backup-simplify: Simplify 1 into 1 1540331897.941 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331897.941 * [misc]taylor: Taking taylor expansion of 2 in k 1540331897.941 * [misc]backup-simplify: Simplify 2 into 2 1540331897.941 * [misc]taylor: Taking taylor expansion of n in k 1540331897.941 * [misc]backup-simplify: Simplify n into n 1540331897.941 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331897.941 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331897.942 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331897.942 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.942 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331897.942 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331897.942 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331897.942 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331897.942 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331897.942 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331897.943 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331897.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.943 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331897.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.943 * [misc]taylor: Taking taylor expansion of k in n 1540331897.943 * [misc]backup-simplify: Simplify k into k 1540331897.943 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331897.943 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331897.943 * [misc]taylor: Taking taylor expansion of 2 in n 1540331897.943 * [misc]backup-simplify: Simplify 2 into 2 1540331897.943 * [misc]taylor: Taking taylor expansion of n in n 1540331897.943 * [misc]backup-simplify: Simplify 0 into 0 1540331897.943 * [misc]backup-simplify: Simplify 1 into 1 1540331897.943 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331897.943 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331897.943 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.943 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331897.944 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331897.944 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331897.944 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331897.944 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331897.945 * [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)))) 1540331897.945 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.945 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.945 * [misc]taylor: Taking taylor expansion of k in n 1540331897.945 * [misc]backup-simplify: Simplify k into k 1540331897.945 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331897.945 * [misc]taylor: Taking taylor expansion of 2 in n 1540331897.945 * [misc]backup-simplify: Simplify 2 into 2 1540331897.945 * [misc]taylor: Taking taylor expansion of n in n 1540331897.945 * [misc]backup-simplify: Simplify 0 into 0 1540331897.945 * [misc]backup-simplify: Simplify 1 into 1 1540331897.945 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331897.945 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331897.946 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.946 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331897.946 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331897.946 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331897.946 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331897.947 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331897.947 * [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)))) 1540331897.947 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of 2 in k 1540331897.947 * [misc]backup-simplify: Simplify 2 into 2 1540331897.947 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.947 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of n in k 1540331897.947 * [misc]backup-simplify: Simplify n into n 1540331897.947 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331897.947 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331897.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.948 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331897.948 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.948 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.948 * [misc]taylor: Taking taylor expansion of k in k 1540331897.948 * [misc]backup-simplify: Simplify 0 into 0 1540331897.948 * [misc]backup-simplify: Simplify 1 into 1 1540331897.948 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540331897.948 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331897.948 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.948 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331897.949 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540331897.949 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540331897.949 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540331897.949 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540331897.952 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331897.953 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540331897.953 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.953 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331897.954 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540331897.955 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331897.955 * [misc]taylor: Taking taylor expansion of 0 in k 1540331897.955 * [misc]backup-simplify: Simplify 0 into 0 1540331897.955 * [misc]backup-simplify: Simplify 0 into 0 1540331897.955 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331897.955 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331897.955 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331897.957 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331897.958 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540331897.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.958 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540331897.958 * [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))))) 1540331897.959 * [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))))) 1540331897.959 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331897.962 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331897.962 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540331897.962 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.962 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.962 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331897.963 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540331897.964 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540331897.964 * [misc]taylor: Taking taylor expansion of 0 in k 1540331897.964 * [misc]backup-simplify: Simplify 0 into 0 1540331897.964 * [misc]backup-simplify: Simplify 0 into 0 1540331897.964 * [misc]backup-simplify: Simplify 0 into 0 1540331897.964 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331897.964 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.967 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331897.968 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540331897.968 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.968 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540331897.970 * [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))))) 1540331897.972 * [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))))) 1540331897.979 * [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))))) 1540331897.979 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331897.979 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540331897.979 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.979 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of k in k 1540331897.979 * [misc]backup-simplify: Simplify 0 into 0 1540331897.979 * [misc]backup-simplify: Simplify 1 into 1 1540331897.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331897.979 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331897.979 * [misc]taylor: Taking taylor expansion of 2 in k 1540331897.979 * [misc]backup-simplify: Simplify 2 into 2 1540331897.979 * [misc]taylor: Taking taylor expansion of n in k 1540331897.979 * [misc]backup-simplify: Simplify n into n 1540331897.979 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331897.979 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331897.980 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331897.980 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331897.980 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331897.980 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331897.980 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331897.980 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.980 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.980 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of k in n 1540331897.980 * [misc]backup-simplify: Simplify k into k 1540331897.980 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331897.980 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331897.980 * [misc]taylor: Taking taylor expansion of 2 in n 1540331897.980 * [misc]backup-simplify: Simplify 2 into 2 1540331897.980 * [misc]taylor: Taking taylor expansion of n in n 1540331897.980 * [misc]backup-simplify: Simplify 0 into 0 1540331897.980 * [misc]backup-simplify: Simplify 1 into 1 1540331897.980 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331897.980 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.981 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331897.981 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331897.981 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331897.981 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331897.981 * [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))) 1540331897.981 * [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)))) 1540331897.981 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.981 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331897.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.981 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331897.981 * [misc]taylor: Taking taylor expansion of k in n 1540331897.982 * [misc]backup-simplify: Simplify k into k 1540331897.982 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331897.982 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331897.982 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331897.982 * [misc]taylor: Taking taylor expansion of 2 in n 1540331897.982 * [misc]backup-simplify: Simplify 2 into 2 1540331897.982 * [misc]taylor: Taking taylor expansion of n in n 1540331897.982 * [misc]backup-simplify: Simplify 0 into 0 1540331897.982 * [misc]backup-simplify: Simplify 1 into 1 1540331897.982 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331897.982 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.982 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331897.982 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331897.982 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331897.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331897.982 * [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))) 1540331897.983 * [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)))) 1540331897.983 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.983 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331897.983 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331897.983 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of k in k 1540331897.983 * [misc]backup-simplify: Simplify 0 into 0 1540331897.983 * [misc]backup-simplify: Simplify 1 into 1 1540331897.983 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331897.983 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of 2 in k 1540331897.983 * [misc]backup-simplify: Simplify 2 into 2 1540331897.983 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331897.983 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331897.983 * [misc]taylor: Taking taylor expansion of n in k 1540331897.983 * [misc]backup-simplify: Simplify n into n 1540331897.984 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331897.984 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331897.984 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331897.984 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331897.984 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331897.984 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540331897.985 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540331897.985 * [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)))) 1540331897.985 * [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)))) 1540331897.986 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540331897.988 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331897.988 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331897.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331897.989 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331897.990 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540331897.991 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331897.991 * [misc]taylor: Taking taylor expansion of 0 in k 1540331897.991 * [misc]backup-simplify: Simplify 0 into 0 1540331897.991 * [misc]backup-simplify: Simplify 0 into 0 1540331897.991 * [misc]backup-simplify: Simplify 0 into 0 1540331897.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331897.996 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331897.996 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331897.997 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331897.997 * [misc]backup-simplify: Simplify (- 0) into 0 1540331897.997 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331897.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331897.998 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540331898.000 * [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 1540331898.000 * [misc]taylor: Taking taylor expansion of 0 in k 1540331898.000 * [misc]backup-simplify: Simplify 0 into 0 1540331898.000 * [misc]backup-simplify: Simplify 0 into 0 1540331898.000 * [misc]backup-simplify: Simplify 0 into 0 1540331898.000 * [misc]backup-simplify: Simplify 0 into 0 1540331898.000 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.008 * [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 1540331898.008 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331898.009 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331898.009 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.009 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.010 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540331898.014 * [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 1540331898.014 * [misc]taylor: Taking taylor expansion of 0 in k 1540331898.014 * [misc]backup-simplify: Simplify 0 into 0 1540331898.014 * [misc]backup-simplify: Simplify 0 into 0 1540331898.014 * [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)))) 1540331898.014 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.014 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540331898.014 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.014 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of k in k 1540331898.015 * [misc]backup-simplify: Simplify 0 into 0 1540331898.015 * [misc]backup-simplify: Simplify 1 into 1 1540331898.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.015 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331898.015 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.015 * [misc]backup-simplify: Simplify -2 into -2 1540331898.015 * [misc]taylor: Taking taylor expansion of n in k 1540331898.015 * [misc]backup-simplify: Simplify n into n 1540331898.015 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331898.015 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331898.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.015 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.016 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331898.016 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.016 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of k in n 1540331898.016 * [misc]backup-simplify: Simplify k into k 1540331898.016 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.016 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.016 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.016 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.016 * [misc]backup-simplify: Simplify -2 into -2 1540331898.016 * [misc]taylor: Taking taylor expansion of n in n 1540331898.016 * [misc]backup-simplify: Simplify 0 into 0 1540331898.016 * [misc]backup-simplify: Simplify 1 into 1 1540331898.016 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.016 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.016 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.016 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.017 * [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))) 1540331898.017 * [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)))) 1540331898.017 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of k in n 1540331898.017 * [misc]backup-simplify: Simplify k into k 1540331898.017 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.017 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.017 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.017 * [misc]backup-simplify: Simplify -2 into -2 1540331898.017 * [misc]taylor: Taking taylor expansion of n in n 1540331898.017 * [misc]backup-simplify: Simplify 0 into 0 1540331898.017 * [misc]backup-simplify: Simplify 1 into 1 1540331898.017 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.018 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.018 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.018 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.018 * [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))) 1540331898.018 * [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)))) 1540331898.018 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540331898.018 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540331898.018 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.018 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.018 * [misc]taylor: Taking taylor expansion of k in k 1540331898.018 * [misc]backup-simplify: Simplify 0 into 0 1540331898.018 * [misc]backup-simplify: Simplify 1 into 1 1540331898.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.019 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540331898.019 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540331898.019 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.019 * [misc]backup-simplify: Simplify -2 into -2 1540331898.019 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.019 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331898.019 * [misc]taylor: Taking taylor expansion of n in k 1540331898.019 * [misc]backup-simplify: Simplify n into n 1540331898.019 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331898.019 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.019 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.019 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331898.019 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540331898.019 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540331898.020 * [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)))) 1540331898.020 * [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)))) 1540331898.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540331898.022 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540331898.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.022 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.022 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540331898.023 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.023 * [misc]taylor: Taking taylor expansion of 0 in k 1540331898.023 * [misc]backup-simplify: Simplify 0 into 0 1540331898.023 * [misc]backup-simplify: Simplify 0 into 0 1540331898.023 * [misc]backup-simplify: Simplify 0 into 0 1540331898.024 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.026 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540331898.026 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331898.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331898.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.027 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.027 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540331898.028 * [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 1540331898.028 * [misc]taylor: Taking taylor expansion of 0 in k 1540331898.028 * [misc]backup-simplify: Simplify 0 into 0 1540331898.028 * [misc]backup-simplify: Simplify 0 into 0 1540331898.028 * [misc]backup-simplify: Simplify 0 into 0 1540331898.028 * [misc]backup-simplify: Simplify 0 into 0 1540331898.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.033 * [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 1540331898.033 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331898.033 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331898.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.034 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.034 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540331898.036 * [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 1540331898.036 * [misc]taylor: Taking taylor expansion of 0 in k 1540331898.036 * [misc]backup-simplify: Simplify 0 into 0 1540331898.036 * [misc]backup-simplify: Simplify 0 into 0 1540331898.036 * [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))))) 1540331898.037 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1540331898.037 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540331898.037 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540331898.037 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.037 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.037 * [misc]taylor: Taking taylor expansion of k in k 1540331898.037 * [misc]backup-simplify: Simplify 0 into 0 1540331898.037 * [misc]backup-simplify: Simplify 1 into 1 1540331898.037 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.037 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.037 * [misc]backup-simplify: Simplify PI into PI 1540331898.037 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.037 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.038 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.038 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.038 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.038 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331898.039 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.039 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.039 * [misc]taylor: Taking taylor expansion of k in k 1540331898.039 * [misc]backup-simplify: Simplify 0 into 0 1540331898.039 * [misc]backup-simplify: Simplify 1 into 1 1540331898.039 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.039 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.039 * [misc]backup-simplify: Simplify PI into PI 1540331898.039 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.039 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.039 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.039 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.040 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.040 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331898.040 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540331898.042 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331898.042 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331898.042 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.042 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540331898.045 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331898.046 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331898.049 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540331898.049 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.049 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.050 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540331898.054 * [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))) 1540331898.055 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540331898.058 * [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)))) 1540331898.058 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.058 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540331898.058 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of k in k 1540331898.058 * [misc]backup-simplify: Simplify 0 into 0 1540331898.058 * [misc]backup-simplify: Simplify 1 into 1 1540331898.058 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.058 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.058 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.058 * [misc]backup-simplify: Simplify PI into PI 1540331898.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.059 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.059 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.059 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.059 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331898.060 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.060 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of k in k 1540331898.060 * [misc]backup-simplify: Simplify 0 into 0 1540331898.060 * [misc]backup-simplify: Simplify 1 into 1 1540331898.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.060 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.060 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.060 * [misc]backup-simplify: Simplify PI into PI 1540331898.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.060 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.060 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.060 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.061 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331898.061 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.061 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify 0 into 0 1540331898.061 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540331898.062 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.062 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540331898.062 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of k in k 1540331898.062 * [misc]backup-simplify: Simplify 0 into 0 1540331898.062 * [misc]backup-simplify: Simplify 1 into 1 1540331898.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.062 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.062 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.062 * [misc]backup-simplify: Simplify PI into PI 1540331898.062 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.062 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.063 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.063 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.063 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.063 * [misc]taylor: Taking taylor expansion of k in k 1540331898.063 * [misc]backup-simplify: Simplify 0 into 0 1540331898.063 * [misc]backup-simplify: Simplify 1 into 1 1540331898.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.064 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.064 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.064 * [misc]backup-simplify: Simplify PI into PI 1540331898.064 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.064 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.065 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.065 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify 0 into 0 1540331898.065 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540331898.065 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540331898.066 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1540331898.066 * [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 1540331898.066 * [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 1540331898.066 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.066 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.066 * [misc]taylor: Taking taylor expansion of k in n 1540331898.066 * [misc]backup-simplify: Simplify k into k 1540331898.066 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.066 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.066 * [misc]backup-simplify: Simplify 2 into 2 1540331898.066 * [misc]taylor: Taking taylor expansion of n in n 1540331898.066 * [misc]backup-simplify: Simplify 0 into 0 1540331898.066 * [misc]backup-simplify: Simplify 1 into 1 1540331898.066 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.066 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.066 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.066 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331898.066 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331898.067 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331898.067 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.067 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331898.067 * [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)))) 1540331898.067 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.067 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.067 * [misc]taylor: Taking taylor expansion of k in n 1540331898.067 * [misc]backup-simplify: Simplify k into k 1540331898.067 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.067 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.067 * [misc]backup-simplify: Simplify PI into PI 1540331898.068 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.068 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331898.068 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331898.068 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331898.068 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540331898.068 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540331898.068 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331898.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.068 * [misc]taylor: Taking taylor expansion of k in n 1540331898.068 * [misc]backup-simplify: Simplify k into k 1540331898.068 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.068 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331898.068 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.069 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331898.069 * [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 1540331898.069 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.069 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.069 * [misc]taylor: Taking taylor expansion of k in k 1540331898.069 * [misc]backup-simplify: Simplify 0 into 0 1540331898.069 * [misc]backup-simplify: Simplify 1 into 1 1540331898.069 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.069 * [misc]backup-simplify: Simplify 2 into 2 1540331898.069 * [misc]taylor: Taking taylor expansion of n in k 1540331898.069 * [misc]backup-simplify: Simplify n into n 1540331898.069 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331898.069 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331898.069 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.069 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.069 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.069 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331898.069 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331898.069 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.069 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.070 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.070 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.070 * [misc]taylor: Taking taylor expansion of k in k 1540331898.070 * [misc]backup-simplify: Simplify 0 into 0 1540331898.070 * [misc]backup-simplify: Simplify 1 into 1 1540331898.070 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.070 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.070 * [misc]backup-simplify: Simplify PI into PI 1540331898.070 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.070 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.070 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.070 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.070 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.071 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331898.071 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331898.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.071 * [misc]taylor: Taking taylor expansion of k in k 1540331898.071 * [misc]backup-simplify: Simplify 0 into 0 1540331898.071 * [misc]backup-simplify: Simplify 1 into 1 1540331898.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.072 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.072 * [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 1540331898.072 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.072 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.072 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.072 * [misc]taylor: Taking taylor expansion of k in k 1540331898.072 * [misc]backup-simplify: Simplify 0 into 0 1540331898.072 * [misc]backup-simplify: Simplify 1 into 1 1540331898.072 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.072 * [misc]backup-simplify: Simplify 2 into 2 1540331898.072 * [misc]taylor: Taking taylor expansion of n in k 1540331898.072 * [misc]backup-simplify: Simplify n into n 1540331898.072 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331898.072 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331898.072 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.072 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.072 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.072 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331898.072 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331898.072 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.072 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.073 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.073 * [misc]taylor: Taking taylor expansion of k in k 1540331898.073 * [misc]backup-simplify: Simplify 0 into 0 1540331898.073 * [misc]backup-simplify: Simplify 1 into 1 1540331898.073 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.073 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.073 * [misc]backup-simplify: Simplify PI into PI 1540331898.073 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.073 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.073 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.073 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.073 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.074 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331898.074 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331898.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.074 * [misc]taylor: Taking taylor expansion of k in k 1540331898.074 * [misc]backup-simplify: Simplify 0 into 0 1540331898.074 * [misc]backup-simplify: Simplify 1 into 1 1540331898.074 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.074 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.075 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.075 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1540331898.075 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1540331898.075 * [misc]taylor: Taking taylor expansion of 0 in n 1540331898.075 * [misc]backup-simplify: Simplify 0 into 0 1540331898.075 * [misc]backup-simplify: Simplify 0 into 0 1540331898.077 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331898.077 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331898.077 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.077 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540331898.080 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331898.080 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540331898.081 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540331898.081 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331898.081 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.081 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540331898.082 * [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)))) 1540331898.083 * [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)))))) 1540331898.084 * [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))))) 1540331898.084 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540331898.084 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331898.084 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.084 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.084 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331898.084 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.084 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.084 * [misc]backup-simplify: Simplify 2 into 2 1540331898.084 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.085 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.085 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331898.085 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331898.085 * [misc]taylor: Taking taylor expansion of n in n 1540331898.085 * [misc]backup-simplify: Simplify 0 into 0 1540331898.085 * [misc]backup-simplify: Simplify 1 into 1 1540331898.085 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.085 * [misc]backup-simplify: Simplify PI into PI 1540331898.085 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331898.085 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331898.085 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.086 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.086 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331898.086 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.086 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.086 * [misc]backup-simplify: Simplify 0 into 0 1540331898.086 * [misc]backup-simplify: Simplify 0 into 0 1540331898.086 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331898.087 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.095 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540331898.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.095 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.095 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.097 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540331898.102 * [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))) 1540331898.103 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540331898.105 * [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 1540331898.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.106 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540331898.108 * [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))) 1540331898.115 * [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))))))) 1540331898.123 * [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))))))))) 1540331898.124 * [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 1540331898.124 * [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 1540331898.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540331898.124 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.124 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.124 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540331898.124 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540331898.124 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.124 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.124 * [misc]backup-simplify: Simplify 2 into 2 1540331898.124 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.124 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.125 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.125 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.125 * [misc]backup-simplify: Simplify PI into PI 1540331898.125 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.125 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.125 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.125 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.125 * [misc]backup-simplify: Simplify PI into PI 1540331898.125 * [misc]taylor: Taking taylor expansion of n in n 1540331898.125 * [misc]backup-simplify: Simplify 0 into 0 1540331898.125 * [misc]backup-simplify: Simplify 1 into 1 1540331898.125 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.126 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.127 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.127 * [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 1540331898.127 * [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 1540331898.127 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331898.127 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.127 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.127 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331898.127 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.127 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.127 * [misc]backup-simplify: Simplify 2 into 2 1540331898.127 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.128 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.128 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331898.128 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331898.128 * [misc]taylor: Taking taylor expansion of n in n 1540331898.128 * [misc]backup-simplify: Simplify 0 into 0 1540331898.128 * [misc]backup-simplify: Simplify 1 into 1 1540331898.128 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.128 * [misc]backup-simplify: Simplify PI into PI 1540331898.128 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331898.129 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331898.129 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.129 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.129 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.130 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.130 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.130 * [misc]backup-simplify: Simplify 2 into 2 1540331898.130 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.130 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.130 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.130 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.130 * [misc]backup-simplify: Simplify 2 into 2 1540331898.130 * [misc]taylor: Taking taylor expansion of n in n 1540331898.130 * [misc]backup-simplify: Simplify 0 into 0 1540331898.130 * [misc]backup-simplify: Simplify 1 into 1 1540331898.130 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.131 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.131 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.131 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.131 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.131 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.131 * [misc]backup-simplify: Simplify PI into PI 1540331898.131 * [misc]taylor: Taking taylor expansion of n in n 1540331898.131 * [misc]backup-simplify: Simplify 0 into 0 1540331898.131 * [misc]backup-simplify: Simplify 1 into 1 1540331898.131 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.132 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.132 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.133 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.133 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540331898.134 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540331898.135 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.135 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331898.135 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.135 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.136 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540331898.136 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540331898.136 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.136 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.137 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.137 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.137 * [misc]backup-simplify: Simplify 0 into 0 1540331898.138 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.140 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.142 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.143 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.143 * [misc]backup-simplify: Simplify 0 into 0 1540331898.143 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.144 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331898.153 * [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 1540331898.154 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331898.154 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.154 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.156 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540331898.165 * [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))) 1540331898.166 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1540331898.170 * [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 1540331898.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331898.170 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1540331898.173 * [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))) 1540331898.187 * [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))))))))) 1540331898.217 * [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))))))))))))))) 1540331898.217 * [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 1540331898.217 * [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 1540331898.217 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540331898.217 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.217 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.217 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540331898.217 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540331898.217 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.217 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.217 * [misc]backup-simplify: Simplify 2 into 2 1540331898.217 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.218 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.218 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.218 * [misc]backup-simplify: Simplify PI into PI 1540331898.218 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.218 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.218 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.218 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.218 * [misc]backup-simplify: Simplify PI into PI 1540331898.218 * [misc]taylor: Taking taylor expansion of n in n 1540331898.218 * [misc]backup-simplify: Simplify 0 into 0 1540331898.218 * [misc]backup-simplify: Simplify 1 into 1 1540331898.219 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.219 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.219 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.220 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.220 * [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 1540331898.220 * [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 1540331898.220 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540331898.220 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.220 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.220 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540331898.220 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540331898.220 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.220 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.220 * [misc]backup-simplify: Simplify 2 into 2 1540331898.221 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.221 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.221 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540331898.221 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.221 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.221 * [misc]backup-simplify: Simplify PI into PI 1540331898.221 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.221 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.221 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.221 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.221 * [misc]backup-simplify: Simplify PI into PI 1540331898.221 * [misc]taylor: Taking taylor expansion of n in n 1540331898.221 * [misc]backup-simplify: Simplify 0 into 0 1540331898.221 * [misc]backup-simplify: Simplify 1 into 1 1540331898.222 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.222 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.223 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.223 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.223 * [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 1540331898.223 * [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 1540331898.223 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1540331898.223 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.223 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.223 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1540331898.223 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1540331898.223 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.223 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.223 * [misc]backup-simplify: Simplify 2 into 2 1540331898.224 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.224 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.224 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1540331898.224 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.224 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.224 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.224 * [misc]backup-simplify: Simplify 2 into 2 1540331898.224 * [misc]taylor: Taking taylor expansion of n in n 1540331898.224 * [misc]backup-simplify: Simplify 0 into 0 1540331898.224 * [misc]backup-simplify: Simplify 1 into 1 1540331898.224 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.224 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.225 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.225 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.225 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.225 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.225 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.225 * [misc]backup-simplify: Simplify PI into PI 1540331898.225 * [misc]taylor: Taking taylor expansion of n in n 1540331898.225 * [misc]backup-simplify: Simplify 0 into 0 1540331898.225 * [misc]backup-simplify: Simplify 1 into 1 1540331898.225 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.226 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.226 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.227 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.227 * [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 1540331898.227 * [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 1540331898.227 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1540331898.227 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.227 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.227 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1540331898.227 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1540331898.227 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.227 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.227 * [misc]backup-simplify: Simplify 2 into 2 1540331898.227 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.228 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.228 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1540331898.228 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.228 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.228 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.228 * [misc]backup-simplify: Simplify 2 into 2 1540331898.228 * [misc]taylor: Taking taylor expansion of n in n 1540331898.228 * [misc]backup-simplify: Simplify 0 into 0 1540331898.228 * [misc]backup-simplify: Simplify 1 into 1 1540331898.228 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.228 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.228 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.228 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.228 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.228 * [misc]backup-simplify: Simplify PI into PI 1540331898.229 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.229 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331898.229 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331898.229 * [misc]taylor: Taking taylor expansion of n in n 1540331898.229 * [misc]backup-simplify: Simplify 0 into 0 1540331898.229 * [misc]backup-simplify: Simplify 1 into 1 1540331898.229 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.229 * [misc]backup-simplify: Simplify PI into PI 1540331898.229 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331898.230 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331898.230 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.231 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.231 * [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 1540331898.231 * [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 1540331898.231 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540331898.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.231 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540331898.231 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.231 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.231 * [misc]backup-simplify: Simplify 2 into 2 1540331898.231 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.231 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540331898.231 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540331898.231 * [misc]taylor: Taking taylor expansion of n in n 1540331898.231 * [misc]backup-simplify: Simplify 0 into 0 1540331898.231 * [misc]backup-simplify: Simplify 1 into 1 1540331898.231 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.232 * [misc]backup-simplify: Simplify PI into PI 1540331898.232 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540331898.233 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540331898.233 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.233 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.233 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540331898.233 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540331898.233 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.233 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.233 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540331898.233 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540331898.233 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.233 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.233 * [misc]backup-simplify: Simplify 2 into 2 1540331898.234 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.234 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.234 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.234 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.234 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.234 * [misc]backup-simplify: Simplify 2 into 2 1540331898.234 * [misc]taylor: Taking taylor expansion of n in n 1540331898.234 * [misc]backup-simplify: Simplify 0 into 0 1540331898.234 * [misc]backup-simplify: Simplify 1 into 1 1540331898.234 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.234 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.235 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.235 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540331898.235 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540331898.235 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.235 * [misc]backup-simplify: Simplify PI into PI 1540331898.235 * [misc]taylor: Taking taylor expansion of n in n 1540331898.235 * [misc]backup-simplify: Simplify 0 into 0 1540331898.235 * [misc]backup-simplify: Simplify 1 into 1 1540331898.235 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540331898.236 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540331898.236 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.237 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540331898.237 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540331898.238 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540331898.238 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.242 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540331898.244 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540331898.245 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540331898.246 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.247 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1540331898.247 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1540331898.248 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1540331898.248 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.249 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.249 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1540331898.250 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1540331898.251 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1540331898.251 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.251 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540331898.251 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.252 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.252 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540331898.252 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.253 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.254 * [misc]backup-simplify: Simplify 0 into 0 1540331898.257 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331898.258 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540331898.260 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540331898.264 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540331898.265 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.267 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540331898.267 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331898.270 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.271 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1540331898.272 * [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)))))) 1540331898.274 * [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)))))) 1540331898.277 * [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)))))) 1540331898.280 * [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))))))) 1540331898.285 * [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))))))) 1540331898.291 * [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))))))))) 1540331898.299 * [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))))))))) 1540331898.304 * [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))))))))) 1540331898.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540331898.306 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540331898.307 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540331898.309 * [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)))) 1540331898.312 * [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)))) 1540331898.314 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540331898.315 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540331898.322 * [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))))))))))))))) 1540331898.323 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1540331898.323 * [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 1540331898.323 * [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 1540331898.323 * [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 1540331898.323 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of k in n 1540331898.323 * [misc]backup-simplify: Simplify k into k 1540331898.323 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.323 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.323 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.323 * [misc]backup-simplify: Simplify PI into PI 1540331898.324 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.324 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.324 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.324 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540331898.324 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.324 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.325 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.325 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.325 * [misc]taylor: Taking taylor expansion of k in n 1540331898.325 * [misc]backup-simplify: Simplify k into k 1540331898.325 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.325 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.325 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.325 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.325 * [misc]backup-simplify: Simplify 2 into 2 1540331898.325 * [misc]taylor: Taking taylor expansion of n in n 1540331898.325 * [misc]backup-simplify: Simplify 0 into 0 1540331898.325 * [misc]backup-simplify: Simplify 1 into 1 1540331898.325 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.325 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.325 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.325 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.325 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.326 * [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))) 1540331898.326 * [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)))) 1540331898.326 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331898.326 * [misc]taylor: Taking taylor expansion of k in n 1540331898.326 * [misc]backup-simplify: Simplify k into k 1540331898.326 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331898.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331898.326 * [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 1540331898.326 * [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 1540331898.326 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of k in k 1540331898.326 * [misc]backup-simplify: Simplify 0 into 0 1540331898.326 * [misc]backup-simplify: Simplify 1 into 1 1540331898.326 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.326 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.326 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.326 * [misc]backup-simplify: Simplify PI into PI 1540331898.327 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.327 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.327 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.327 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.327 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331898.328 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.328 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.328 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of k in k 1540331898.328 * [misc]backup-simplify: Simplify 0 into 0 1540331898.328 * [misc]backup-simplify: Simplify 1 into 1 1540331898.328 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.328 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331898.328 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.328 * [misc]backup-simplify: Simplify 2 into 2 1540331898.328 * [misc]taylor: Taking taylor expansion of n in k 1540331898.328 * [misc]backup-simplify: Simplify n into n 1540331898.328 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331898.328 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331898.328 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.328 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.328 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.329 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331898.329 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.329 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of k in k 1540331898.329 * [misc]backup-simplify: Simplify 0 into 0 1540331898.329 * [misc]backup-simplify: Simplify 1 into 1 1540331898.329 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.329 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.329 * [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 1540331898.329 * [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 1540331898.329 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.329 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.329 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.329 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of k in k 1540331898.329 * [misc]backup-simplify: Simplify 0 into 0 1540331898.329 * [misc]backup-simplify: Simplify 1 into 1 1540331898.329 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.329 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.329 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.330 * [misc]backup-simplify: Simplify PI into PI 1540331898.330 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.330 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.330 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.330 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.330 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331898.331 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.331 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of k in k 1540331898.331 * [misc]backup-simplify: Simplify 0 into 0 1540331898.331 * [misc]backup-simplify: Simplify 1 into 1 1540331898.331 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.331 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331898.331 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.331 * [misc]backup-simplify: Simplify 2 into 2 1540331898.331 * [misc]taylor: Taking taylor expansion of n in k 1540331898.331 * [misc]backup-simplify: Simplify n into n 1540331898.331 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331898.331 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331898.331 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.331 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.332 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.332 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331898.332 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.332 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331898.332 * [misc]taylor: Taking taylor expansion of k in k 1540331898.332 * [misc]backup-simplify: Simplify 0 into 0 1540331898.332 * [misc]backup-simplify: Simplify 1 into 1 1540331898.332 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.332 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.332 * [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))))) 1540331898.333 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540331898.333 * [misc]taylor: Taking taylor expansion of 0 in n 1540331898.333 * [misc]backup-simplify: Simplify 0 into 0 1540331898.333 * [misc]backup-simplify: Simplify 0 into 0 1540331898.333 * [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 1540331898.333 * [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))))))) 1540331898.333 * [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 1540331898.333 * [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 1540331898.333 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.333 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.333 * [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 1540331898.333 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540331898.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540331898.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.334 * [misc]taylor: Taking taylor expansion of k in n 1540331898.334 * [misc]backup-simplify: Simplify k into k 1540331898.334 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.334 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.334 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.334 * [misc]backup-simplify: Simplify PI into PI 1540331898.334 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.334 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.334 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.334 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.334 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540331898.335 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.335 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of k in n 1540331898.335 * [misc]backup-simplify: Simplify k into k 1540331898.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.335 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.335 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.335 * [misc]backup-simplify: Simplify 2 into 2 1540331898.335 * [misc]taylor: Taking taylor expansion of n in n 1540331898.335 * [misc]backup-simplify: Simplify 0 into 0 1540331898.335 * [misc]backup-simplify: Simplify 1 into 1 1540331898.335 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.335 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.335 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.335 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.335 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.336 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.336 * [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))) 1540331898.336 * [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)))) 1540331898.336 * [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))))) 1540331898.337 * [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)))))) 1540331898.337 * [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))))))) 1540331898.337 * [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))))))) 1540331898.337 * [misc]backup-simplify: Simplify 0 into 0 1540331898.338 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.338 * [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 1540331898.339 * [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))))))) 1540331898.339 * [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 1540331898.339 * [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 1540331898.339 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.339 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.339 * [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 1540331898.339 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.339 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of k in n 1540331898.339 * [misc]backup-simplify: Simplify k into k 1540331898.339 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.339 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.339 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.339 * [misc]backup-simplify: Simplify PI into PI 1540331898.340 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.340 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.340 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.340 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.340 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540331898.340 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.340 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.340 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.340 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.340 * [misc]taylor: Taking taylor expansion of k in n 1540331898.340 * [misc]backup-simplify: Simplify k into k 1540331898.340 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.340 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.341 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.341 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.341 * [misc]backup-simplify: Simplify 2 into 2 1540331898.341 * [misc]taylor: Taking taylor expansion of n in n 1540331898.341 * [misc]backup-simplify: Simplify 0 into 0 1540331898.341 * [misc]backup-simplify: Simplify 1 into 1 1540331898.341 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.341 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.341 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.341 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.341 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.341 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.341 * [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))) 1540331898.342 * [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)))) 1540331898.342 * [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))))) 1540331898.342 * [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)))))) 1540331898.343 * [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))))))) 1540331898.343 * [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))))))) 1540331898.343 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540331898.345 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331898.345 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.345 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.345 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.345 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.346 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540331898.346 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.348 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331898.348 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.348 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.348 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.349 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540331898.350 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.350 * [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 1540331898.353 * [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 1540331898.353 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.353 * [misc]backup-simplify: Simplify 0 into 0 1540331898.353 * [misc]backup-simplify: Simplify 0 into 0 1540331898.354 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331898.354 * [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 1540331898.355 * [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))))))) 1540331898.355 * [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 1540331898.355 * [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 1540331898.355 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.355 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.355 * [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 1540331898.355 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.355 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.355 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of k in n 1540331898.355 * [misc]backup-simplify: Simplify k into k 1540331898.355 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.355 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.355 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.355 * [misc]backup-simplify: Simplify PI into PI 1540331898.355 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.355 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.356 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.356 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.356 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540331898.356 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.356 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of k in n 1540331898.356 * [misc]backup-simplify: Simplify k into k 1540331898.356 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.356 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.356 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.356 * [misc]backup-simplify: Simplify 2 into 2 1540331898.356 * [misc]taylor: Taking taylor expansion of n in n 1540331898.356 * [misc]backup-simplify: Simplify 0 into 0 1540331898.356 * [misc]backup-simplify: Simplify 1 into 1 1540331898.357 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.357 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.357 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.357 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.357 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.357 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.357 * [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))) 1540331898.357 * [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)))) 1540331898.358 * [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))))) 1540331898.358 * [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)))))) 1540331898.358 * [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))))))) 1540331898.359 * [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))))))) 1540331898.362 * [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)))))))) 1540331898.363 * [misc]backup-simplify: Simplify (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1540331898.363 * [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 1540331898.363 * [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 1540331898.363 * [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 1540331898.363 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of k in n 1540331898.363 * [misc]backup-simplify: Simplify k into k 1540331898.363 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.363 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.363 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.363 * [misc]backup-simplify: Simplify -2 into -2 1540331898.363 * [misc]taylor: Taking taylor expansion of n in n 1540331898.363 * [misc]backup-simplify: Simplify 0 into 0 1540331898.363 * [misc]backup-simplify: Simplify 1 into 1 1540331898.364 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.364 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.364 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.364 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.365 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.365 * [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))) 1540331898.365 * [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)))) 1540331898.365 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.365 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540331898.365 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540331898.365 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.365 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.366 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.366 * [misc]taylor: Taking taylor expansion of k in n 1540331898.366 * [misc]backup-simplify: Simplify k into k 1540331898.366 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.366 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.366 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.366 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.366 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.366 * [misc]backup-simplify: Simplify PI into PI 1540331898.366 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.366 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.366 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.367 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540331898.367 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.367 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331898.367 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331898.367 * [misc]taylor: Taking taylor expansion of -1 in n 1540331898.367 * [misc]backup-simplify: Simplify -1 into -1 1540331898.367 * [misc]taylor: Taking taylor expansion of k in n 1540331898.368 * [misc]backup-simplify: Simplify k into k 1540331898.368 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331898.368 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331898.368 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331898.368 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331898.368 * [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))) 1540331898.369 * [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))) 1540331898.369 * [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 1540331898.369 * [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 1540331898.369 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.369 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.369 * [misc]taylor: Taking taylor expansion of k in k 1540331898.369 * [misc]backup-simplify: Simplify 0 into 0 1540331898.370 * [misc]backup-simplify: Simplify 1 into 1 1540331898.370 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.370 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.370 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.370 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331898.370 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331898.370 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.370 * [misc]backup-simplify: Simplify -2 into -2 1540331898.370 * [misc]taylor: Taking taylor expansion of n in k 1540331898.370 * [misc]backup-simplify: Simplify n into n 1540331898.370 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331898.370 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331898.370 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.370 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.370 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331898.371 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.371 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.371 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of k in k 1540331898.371 * [misc]backup-simplify: Simplify 0 into 0 1540331898.371 * [misc]backup-simplify: Simplify 1 into 1 1540331898.371 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.371 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.371 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.371 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.371 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.371 * [misc]backup-simplify: Simplify PI into PI 1540331898.372 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.372 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.372 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.373 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.373 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.373 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331898.373 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331898.373 * [misc]taylor: Taking taylor expansion of -1 in k 1540331898.373 * [misc]backup-simplify: Simplify -1 into -1 1540331898.373 * [misc]taylor: Taking taylor expansion of k in k 1540331898.373 * [misc]backup-simplify: Simplify 0 into 0 1540331898.373 * [misc]backup-simplify: Simplify 1 into 1 1540331898.373 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331898.374 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.374 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331898.374 * [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))) 1540331898.375 * [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)))) 1540331898.375 * [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 1540331898.375 * [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 1540331898.375 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of k in k 1540331898.375 * [misc]backup-simplify: Simplify 0 into 0 1540331898.375 * [misc]backup-simplify: Simplify 1 into 1 1540331898.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.375 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331898.375 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.375 * [misc]backup-simplify: Simplify -2 into -2 1540331898.376 * [misc]taylor: Taking taylor expansion of n in k 1540331898.376 * [misc]backup-simplify: Simplify n into n 1540331898.376 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331898.376 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331898.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.376 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.376 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331898.376 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.376 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.376 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331898.376 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331898.376 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.377 * [misc]taylor: Taking taylor expansion of k in k 1540331898.377 * [misc]backup-simplify: Simplify 0 into 0 1540331898.377 * [misc]backup-simplify: Simplify 1 into 1 1540331898.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.377 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331898.377 * [misc]taylor: Taking taylor expansion of PI in k 1540331898.377 * [misc]backup-simplify: Simplify PI into PI 1540331898.377 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.377 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.378 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.378 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331898.379 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.379 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331898.379 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331898.379 * [misc]taylor: Taking taylor expansion of -1 in k 1540331898.379 * [misc]backup-simplify: Simplify -1 into -1 1540331898.379 * [misc]taylor: Taking taylor expansion of k in k 1540331898.379 * [misc]backup-simplify: Simplify 0 into 0 1540331898.379 * [misc]backup-simplify: Simplify 1 into 1 1540331898.379 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331898.379 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.380 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331898.380 * [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))) 1540331898.380 * [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)))) 1540331898.380 * [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 1540331898.380 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.380 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.380 * [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 1540331898.381 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of k in n 1540331898.381 * [misc]backup-simplify: Simplify k into k 1540331898.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.381 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.381 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.381 * [misc]backup-simplify: Simplify -2 into -2 1540331898.381 * [misc]taylor: Taking taylor expansion of n in n 1540331898.381 * [misc]backup-simplify: Simplify 0 into 0 1540331898.381 * [misc]backup-simplify: Simplify 1 into 1 1540331898.381 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.381 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.382 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.382 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.382 * [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))) 1540331898.383 * [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)))) 1540331898.383 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of k in n 1540331898.383 * [misc]backup-simplify: Simplify k into k 1540331898.383 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.383 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.383 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.383 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.383 * [misc]backup-simplify: Simplify PI into PI 1540331898.384 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.384 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.384 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.384 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540331898.385 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.385 * [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))) 1540331898.386 * [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)))) 1540331898.386 * [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)))) 1540331898.387 * [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 1540331898.387 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331898.388 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.389 * [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))))) 1540331898.389 * [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 1540331898.389 * [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 1540331898.389 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.389 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.389 * [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 1540331898.389 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.389 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.389 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.389 * [misc]taylor: Taking taylor expansion of k in n 1540331898.389 * [misc]backup-simplify: Simplify k into k 1540331898.389 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.390 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.390 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.390 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.390 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.390 * [misc]backup-simplify: Simplify -2 into -2 1540331898.390 * [misc]taylor: Taking taylor expansion of n in n 1540331898.390 * [misc]backup-simplify: Simplify 0 into 0 1540331898.390 * [misc]backup-simplify: Simplify 1 into 1 1540331898.390 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.390 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.390 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.390 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.391 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.391 * [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))) 1540331898.391 * [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)))) 1540331898.391 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.391 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540331898.391 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540331898.391 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.392 * [misc]taylor: Taking taylor expansion of k in n 1540331898.392 * [misc]backup-simplify: Simplify k into k 1540331898.392 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.392 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.392 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.392 * [misc]backup-simplify: Simplify PI into PI 1540331898.392 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.392 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.392 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.393 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540331898.393 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.394 * [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))) 1540331898.394 * [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)))) 1540331898.395 * [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))))) 1540331898.396 * [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))))) 1540331898.398 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331898.398 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.399 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.399 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.400 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540331898.401 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540331898.404 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540331898.404 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.404 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.405 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.405 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540331898.406 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.407 * [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 1540331898.408 * [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 1540331898.408 * [misc]backup-simplify: Simplify 0 into 0 1540331898.408 * [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 1540331898.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.410 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331898.411 * [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))))) 1540331898.412 * [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 1540331898.412 * [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 1540331898.412 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.412 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.412 * [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 1540331898.412 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of k in n 1540331898.412 * [misc]backup-simplify: Simplify k into k 1540331898.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.412 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.412 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.412 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.412 * [misc]backup-simplify: Simplify -2 into -2 1540331898.412 * [misc]taylor: Taking taylor expansion of n in n 1540331898.412 * [misc]backup-simplify: Simplify 0 into 0 1540331898.412 * [misc]backup-simplify: Simplify 1 into 1 1540331898.413 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.413 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.413 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.414 * [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))) 1540331898.414 * [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)))) 1540331898.414 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.414 * [misc]taylor: Taking taylor expansion of k in n 1540331898.414 * [misc]backup-simplify: Simplify k into k 1540331898.415 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.415 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540331898.415 * [misc]taylor: Taking taylor expansion of PI in n 1540331898.415 * [misc]backup-simplify: Simplify PI into PI 1540331898.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331898.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.416 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.416 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540331898.416 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.417 * [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))) 1540331898.417 * [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)))) 1540331898.418 * [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))))) 1540331898.419 * [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))))) 1540331898.422 * [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)))))))) 1540331898.422 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1540331898.422 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540331898.422 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540331898.422 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540331898.422 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540331898.422 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331898.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.423 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.423 * [misc]taylor: Taking taylor expansion of k in n 1540331898.423 * [misc]backup-simplify: Simplify k into k 1540331898.423 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.423 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.423 * [misc]backup-simplify: Simplify 2 into 2 1540331898.423 * [misc]taylor: Taking taylor expansion of n in n 1540331898.423 * [misc]backup-simplify: Simplify 0 into 0 1540331898.423 * [misc]backup-simplify: Simplify 1 into 1 1540331898.423 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.423 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.424 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.424 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331898.424 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331898.424 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331898.424 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.424 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331898.425 * [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)))) 1540331898.425 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1540331898.425 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331898.425 * [misc]taylor: Taking taylor expansion of k in n 1540331898.425 * [misc]backup-simplify: Simplify k into k 1540331898.425 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331898.425 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331898.425 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331898.425 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540331898.425 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331898.425 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331898.425 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331898.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.426 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.426 * [misc]taylor: Taking taylor expansion of k in k 1540331898.426 * [misc]backup-simplify: Simplify 0 into 0 1540331898.426 * [misc]backup-simplify: Simplify 1 into 1 1540331898.426 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331898.426 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331898.426 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.426 * [misc]backup-simplify: Simplify 2 into 2 1540331898.426 * [misc]taylor: Taking taylor expansion of n in k 1540331898.426 * [misc]backup-simplify: Simplify n into n 1540331898.426 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331898.426 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331898.426 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.426 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.426 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.427 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331898.427 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331898.427 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540331898.427 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331898.427 * [misc]taylor: Taking taylor expansion of k in k 1540331898.427 * [misc]backup-simplify: Simplify 0 into 0 1540331898.427 * [misc]backup-simplify: Simplify 1 into 1 1540331898.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.428 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.428 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.428 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.428 * [misc]taylor: Taking taylor expansion of k in k 1540331898.428 * [misc]backup-simplify: Simplify 0 into 0 1540331898.428 * [misc]backup-simplify: Simplify 1 into 1 1540331898.428 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331898.428 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.428 * [misc]backup-simplify: Simplify 2 into 2 1540331898.428 * [misc]taylor: Taking taylor expansion of n in k 1540331898.428 * [misc]backup-simplify: Simplify n into n 1540331898.428 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331898.429 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331898.429 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331898.429 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.429 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.429 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331898.429 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331898.429 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540331898.430 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331898.430 * [misc]taylor: Taking taylor expansion of k in k 1540331898.430 * [misc]backup-simplify: Simplify 0 into 0 1540331898.430 * [misc]backup-simplify: Simplify 1 into 1 1540331898.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.430 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.430 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540331898.430 * [misc]taylor: Taking taylor expansion of 0 in n 1540331898.430 * [misc]backup-simplify: Simplify 0 into 0 1540331898.431 * [misc]backup-simplify: Simplify 0 into 0 1540331898.431 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540331898.432 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540331898.432 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331898.432 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.432 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540331898.433 * [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)))) 1540331898.435 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1540331898.437 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1540331898.437 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540331898.437 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540331898.437 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.437 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.437 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540331898.437 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331898.437 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331898.437 * [misc]taylor: Taking taylor expansion of n in n 1540331898.438 * [misc]backup-simplify: Simplify 0 into 0 1540331898.438 * [misc]backup-simplify: Simplify 1 into 1 1540331898.438 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.438 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.438 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.438 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331898.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.439 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331898.439 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331898.439 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.440 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331898.441 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540331898.441 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.442 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.442 * [misc]backup-simplify: Simplify 0 into 0 1540331898.443 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540331898.446 * [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 1540331898.446 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.446 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.446 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.447 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540331898.449 * [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))) 1540331898.458 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1540331898.470 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1540331898.470 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1540331898.470 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1540331898.470 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540331898.470 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.471 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.471 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.471 * [misc]backup-simplify: Simplify 2 into 2 1540331898.471 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331898.471 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331898.471 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331898.471 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.471 * [misc]backup-simplify: Simplify 2 into 2 1540331898.471 * [misc]taylor: Taking taylor expansion of n in n 1540331898.472 * [misc]backup-simplify: Simplify 0 into 0 1540331898.472 * [misc]backup-simplify: Simplify 1 into 1 1540331898.472 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331898.472 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331898.472 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.472 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540331898.472 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331898.472 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.473 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331898.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331898.473 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331898.473 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331898.473 * [misc]taylor: Taking taylor expansion of n in n 1540331898.473 * [misc]backup-simplify: Simplify 0 into 0 1540331898.473 * [misc]backup-simplify: Simplify 1 into 1 1540331898.473 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.473 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.474 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.474 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540331898.474 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540331898.474 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.474 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.474 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540331898.474 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331898.474 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331898.474 * [misc]taylor: Taking taylor expansion of n in n 1540331898.474 * [misc]backup-simplify: Simplify 0 into 0 1540331898.474 * [misc]backup-simplify: Simplify 1 into 1 1540331898.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.474 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.475 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.475 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331898.475 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.475 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.475 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331898.475 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331898.476 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.476 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540331898.477 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540331898.478 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1540331898.479 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331898.479 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540331898.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540331898.482 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331898.483 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540331898.484 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540331898.487 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540331898.488 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540331898.498 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540331898.499 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.499 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331898.500 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540331898.501 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.512 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1540331898.518 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540331898.523 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540331898.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540331898.524 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331898.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.526 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.527 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.527 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.528 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331898.539 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540331898.539 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540331898.539 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540331898.539 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.539 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.540 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.540 * [misc]taylor: Taking taylor expansion of k in n 1540331898.540 * [misc]backup-simplify: Simplify k into k 1540331898.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.540 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.540 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.540 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.540 * [misc]backup-simplify: Simplify 2 into 2 1540331898.540 * [misc]taylor: Taking taylor expansion of n in n 1540331898.540 * [misc]backup-simplify: Simplify 0 into 0 1540331898.540 * [misc]backup-simplify: Simplify 1 into 1 1540331898.540 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.540 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.541 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.541 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.541 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.541 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.542 * [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))) 1540331898.542 * [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)))) 1540331898.542 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.542 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331898.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.542 * [misc]taylor: Taking taylor expansion of k in n 1540331898.543 * [misc]backup-simplify: Simplify k into k 1540331898.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.543 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331898.543 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.543 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331898.543 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.543 * [misc]taylor: Taking taylor expansion of k in k 1540331898.543 * [misc]backup-simplify: Simplify 0 into 0 1540331898.543 * [misc]backup-simplify: Simplify 1 into 1 1540331898.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.544 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331898.544 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331898.544 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.544 * [misc]backup-simplify: Simplify 2 into 2 1540331898.544 * [misc]taylor: Taking taylor expansion of n in k 1540331898.544 * [misc]backup-simplify: Simplify n into n 1540331898.544 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331898.544 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331898.544 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.544 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.545 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.545 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331898.545 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.545 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540331898.545 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331898.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.545 * [misc]taylor: Taking taylor expansion of k in k 1540331898.545 * [misc]backup-simplify: Simplify 0 into 0 1540331898.545 * [misc]backup-simplify: Simplify 1 into 1 1540331898.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.546 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.546 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.546 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.546 * [misc]taylor: Taking taylor expansion of k in k 1540331898.546 * [misc]backup-simplify: Simplify 0 into 0 1540331898.546 * [misc]backup-simplify: Simplify 1 into 1 1540331898.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.547 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331898.547 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331898.547 * [misc]taylor: Taking taylor expansion of 2 in k 1540331898.547 * [misc]backup-simplify: Simplify 2 into 2 1540331898.547 * [misc]taylor: Taking taylor expansion of n in k 1540331898.547 * [misc]backup-simplify: Simplify n into n 1540331898.547 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331898.547 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331898.547 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.547 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331898.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331898.548 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331898.548 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331898.548 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540331898.548 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331898.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.548 * [misc]taylor: Taking taylor expansion of k in k 1540331898.548 * [misc]backup-simplify: Simplify 0 into 0 1540331898.548 * [misc]backup-simplify: Simplify 1 into 1 1540331898.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.549 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331898.549 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540331898.549 * [misc]taylor: Taking taylor expansion of 0 in n 1540331898.549 * [misc]backup-simplify: Simplify 0 into 0 1540331898.549 * [misc]backup-simplify: Simplify 0 into 0 1540331898.550 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331898.550 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331898.550 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331898.550 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331898.550 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.550 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.550 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331898.550 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of k in n 1540331898.551 * [misc]backup-simplify: Simplify k into k 1540331898.551 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.551 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.551 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.551 * [misc]backup-simplify: Simplify 2 into 2 1540331898.551 * [misc]taylor: Taking taylor expansion of n in n 1540331898.551 * [misc]backup-simplify: Simplify 0 into 0 1540331898.551 * [misc]backup-simplify: Simplify 1 into 1 1540331898.551 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.551 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.552 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.552 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.552 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.552 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.553 * [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))) 1540331898.553 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540331898.553 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.554 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.554 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.554 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.555 * [misc]backup-simplify: Simplify 0 into 0 1540331898.555 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331898.556 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331898.557 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331898.557 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331898.557 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331898.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.558 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of k in n 1540331898.558 * [misc]backup-simplify: Simplify k into k 1540331898.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.558 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.558 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.558 * [misc]backup-simplify: Simplify 2 into 2 1540331898.558 * [misc]taylor: Taking taylor expansion of n in n 1540331898.558 * [misc]backup-simplify: Simplify 0 into 0 1540331898.558 * [misc]backup-simplify: Simplify 1 into 1 1540331898.558 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.558 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.559 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.559 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.559 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.560 * [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))) 1540331898.560 * [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)))) 1540331898.560 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.561 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.561 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.561 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.562 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540331898.565 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331898.565 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.565 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.565 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.566 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.566 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540331898.568 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.569 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1540331898.569 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540331898.569 * [misc]backup-simplify: Simplify (- 0) into 0 1540331898.569 * [misc]backup-simplify: Simplify 0 into 0 1540331898.569 * [misc]backup-simplify: Simplify 0 into 0 1540331898.570 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.571 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331898.572 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331898.572 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331898.572 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331898.572 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331898.572 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.572 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.572 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331898.572 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.573 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.573 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of k in n 1540331898.573 * [misc]backup-simplify: Simplify k into k 1540331898.573 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.573 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331898.573 * [misc]taylor: Taking taylor expansion of 2 in n 1540331898.573 * [misc]backup-simplify: Simplify 2 into 2 1540331898.573 * [misc]taylor: Taking taylor expansion of n in n 1540331898.573 * [misc]backup-simplify: Simplify 0 into 0 1540331898.573 * [misc]backup-simplify: Simplify 1 into 1 1540331898.573 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331898.573 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331898.574 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.574 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331898.574 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331898.574 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331898.574 * [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))) 1540331898.575 * [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)))) 1540331898.576 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.576 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331898.576 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.577 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331898.579 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540331898.579 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331898.579 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540331898.580 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of -1 in n 1540331898.580 * [misc]backup-simplify: Simplify -1 into -1 1540331898.580 * [misc]taylor: Taking taylor expansion of k in n 1540331898.580 * [misc]backup-simplify: Simplify k into k 1540331898.580 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331898.580 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331898.580 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331898.580 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331898.580 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.580 * [misc]taylor: Taking taylor expansion of k in n 1540331898.580 * [misc]backup-simplify: Simplify k into k 1540331898.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.581 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.581 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.581 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.581 * [misc]backup-simplify: Simplify -2 into -2 1540331898.581 * [misc]taylor: Taking taylor expansion of n in n 1540331898.581 * [misc]backup-simplify: Simplify 0 into 0 1540331898.581 * [misc]backup-simplify: Simplify 1 into 1 1540331898.581 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.581 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.581 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.581 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.582 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.582 * [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))) 1540331898.583 * [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)))) 1540331898.583 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331898.583 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331898.583 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331898.583 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331898.583 * [misc]taylor: Taking taylor expansion of -1 in k 1540331898.583 * [misc]backup-simplify: Simplify -1 into -1 1540331898.583 * [misc]taylor: Taking taylor expansion of k in k 1540331898.583 * [misc]backup-simplify: Simplify 0 into 0 1540331898.583 * [misc]backup-simplify: Simplify 1 into 1 1540331898.583 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331898.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.584 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331898.584 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.584 * [misc]taylor: Taking taylor expansion of k in k 1540331898.584 * [misc]backup-simplify: Simplify 0 into 0 1540331898.584 * [misc]backup-simplify: Simplify 1 into 1 1540331898.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.585 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331898.585 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331898.585 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.585 * [misc]backup-simplify: Simplify -2 into -2 1540331898.585 * [misc]taylor: Taking taylor expansion of n in k 1540331898.585 * [misc]backup-simplify: Simplify n into n 1540331898.585 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331898.585 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331898.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.585 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.585 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331898.586 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.586 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331898.586 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331898.586 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331898.586 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331898.586 * [misc]taylor: Taking taylor expansion of -1 in k 1540331898.586 * [misc]backup-simplify: Simplify -1 into -1 1540331898.586 * [misc]taylor: Taking taylor expansion of k in k 1540331898.586 * [misc]backup-simplify: Simplify 0 into 0 1540331898.586 * [misc]backup-simplify: Simplify 1 into 1 1540331898.586 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331898.586 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331898.587 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331898.587 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of k in k 1540331898.587 * [misc]backup-simplify: Simplify 0 into 0 1540331898.587 * [misc]backup-simplify: Simplify 1 into 1 1540331898.587 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331898.587 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331898.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.587 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331898.587 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331898.588 * [misc]taylor: Taking taylor expansion of -2 in k 1540331898.588 * [misc]backup-simplify: Simplify -2 into -2 1540331898.588 * [misc]taylor: Taking taylor expansion of n in k 1540331898.588 * [misc]backup-simplify: Simplify n into n 1540331898.588 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331898.588 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331898.588 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331898.588 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331898.588 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331898.588 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331898.589 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331898.589 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.589 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.589 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of k in n 1540331898.589 * [misc]backup-simplify: Simplify k into k 1540331898.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.589 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.589 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.589 * [misc]backup-simplify: Simplify -2 into -2 1540331898.589 * [misc]taylor: Taking taylor expansion of n in n 1540331898.589 * [misc]backup-simplify: Simplify 0 into 0 1540331898.589 * [misc]backup-simplify: Simplify 1 into 1 1540331898.590 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.590 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.590 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.590 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.591 * [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))) 1540331898.591 * [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)))) 1540331898.592 * [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))))) 1540331898.592 * [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))))) 1540331898.592 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331898.594 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331898.594 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331898.594 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.594 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.594 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.595 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.595 * [misc]taylor: Taking taylor expansion of k in n 1540331898.595 * [misc]backup-simplify: Simplify k into k 1540331898.595 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.595 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.595 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.595 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.595 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.595 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.595 * [misc]backup-simplify: Simplify -2 into -2 1540331898.595 * [misc]taylor: Taking taylor expansion of n in n 1540331898.595 * [misc]backup-simplify: Simplify 0 into 0 1540331898.595 * [misc]backup-simplify: Simplify 1 into 1 1540331898.595 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.595 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.596 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.596 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.596 * [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))) 1540331898.597 * [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)))) 1540331898.597 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331898.598 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331898.598 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331898.598 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331898.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540331898.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540331898.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331898.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331898.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331898.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.603 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540331898.604 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331898.605 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1540331898.605 * [misc]backup-simplify: Simplify 0 into 0 1540331898.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331898.607 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331898.608 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331898.608 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331898.608 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331898.608 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331898.608 * [misc]taylor: Taking taylor expansion of k in n 1540331898.608 * [misc]backup-simplify: Simplify k into k 1540331898.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331898.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331898.609 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331898.609 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331898.609 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331898.609 * [misc]taylor: Taking taylor expansion of -2 in n 1540331898.609 * [misc]backup-simplify: Simplify -2 into -2 1540331898.609 * [misc]taylor: Taking taylor expansion of n in n 1540331898.609 * [misc]backup-simplify: Simplify 0 into 0 1540331898.609 * [misc]backup-simplify: Simplify 1 into 1 1540331898.609 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331898.609 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331898.609 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331898.609 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331898.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331898.610 * [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))) 1540331898.610 * [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)))) 1540331898.611 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331898.611 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331898.612 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331898.612 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331898.614 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540331898.614 * * * [misc]progress: simplifying candidates 1540331898.614 * * * * [misc]progress: [ 1 / 266 ] simplifiying candidate # 1540331898.615 * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # 1540331898.615 * * * * [misc]progress: [ 3 / 266 ] simplifiying candidate # 1540331898.615 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1540331898.616 * * [misc]simplify: iters left: 6 (9 enodes) 1540331898.621 * * [misc]simplify: iters left: 5 (16 enodes) 1540331898.629 * * [misc]simplify: iters left: 4 (32 enodes) 1540331898.648 * * [misc]simplify: iters left: 3 (72 enodes) 1540331898.711 * * [misc]simplify: iters left: 2 (195 enodes) 1540331898.840 * * [misc]simplify: iters left: 1 (418 enodes) 1540331899.028 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1540331899.028 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1540331899.028 * * * * [misc]progress: [ 4 / 266 ] simplifiying candidate # 1540331899.028 * * * * [misc]progress: [ 5 / 266 ] simplifiying candidate # 1540331899.028 * [enter]simplify: Simplifying (* n 2) 1540331899.029 * * [misc]simplify: iters left: 2 (3 enodes) 1540331899.029 * * [misc]simplify: iters left: 1 (4 enodes) 1540331899.030 * [exit]simplify: Simplified to (* n 2) 1540331899.030 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1540331899.030 * * * * [misc]progress: [ 6 / 266 ] simplifiying candidate # 1540331899.030 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540331899.030 * * [misc]simplify: iters left: 3 (6 enodes) 1540331899.032 * * [misc]simplify: iters left: 2 (7 enodes) 1540331899.034 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540331899.034 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1540331899.034 * * * * [misc]progress: [ 7 / 266 ] simplifiying candidate # 1540331899.035 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331899.035 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.042 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.045 * * [misc]simplify: iters left: 3 (11 enodes) 1540331899.049 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331899.049 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1540331899.049 * * * * [misc]progress: [ 8 / 266 ] simplifiying candidate # 1540331899.049 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331899.050 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.052 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.055 * * [misc]simplify: iters left: 3 (11 enodes) 1540331899.059 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331899.059 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1540331899.059 * * * * [misc]progress: [ 9 / 266 ] simplifiying candidate # 1540331899.059 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331899.060 * * [misc]simplify: iters left: 4 (5 enodes) 1540331899.062 * * [misc]simplify: iters left: 3 (7 enodes) 1540331899.064 * * [misc]simplify: iters left: 2 (10 enodes) 1540331899.068 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331899.068 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1540331899.068 * * * * [misc]progress: [ 10 / 266 ] simplifiying candidate # 1540331899.068 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540331899.069 * * [misc]simplify: iters left: 5 (7 enodes) 1540331899.071 * * [misc]simplify: iters left: 4 (10 enodes) 1540331899.075 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540331899.075 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540331899.075 * * * * [misc]progress: [ 11 / 266 ] simplifiying candidate # 1540331899.075 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540331899.076 * * [misc]simplify: iters left: 5 (7 enodes) 1540331899.079 * * [misc]simplify: iters left: 4 (10 enodes) 1540331899.082 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540331899.082 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540331899.083 * * * * [misc]progress: [ 12 / 266 ] simplifiying candidate # 1540331899.083 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540331899.083 * * [misc]simplify: iters left: 5 (7 enodes) 1540331899.086 * * [misc]simplify: iters left: 4 (9 enodes) 1540331899.090 * * [misc]simplify: iters left: 3 (12 enodes) 1540331899.094 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540331899.094 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540331899.094 * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 14 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 15 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 16 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 17 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 18 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 21 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 22 / 266 ] simplifiying candidate # 1540331899.094 * * * * [misc]progress: [ 23 / 266 ] simplifiying candidate # 1540331899.095 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540331899.095 * * [misc]simplify: iters left: 3 (5 enodes) 1540331899.097 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540331899.097 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.097 * * * * [misc]progress: [ 24 / 266 ] simplifiying candidate # 1540331899.097 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331899.098 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.101 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.104 * * [misc]simplify: iters left: 3 (11 enodes) 1540331899.108 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331899.108 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.108 * * * * [misc]progress: [ 25 / 266 ] simplifiying candidate # 1540331899.109 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331899.109 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.111 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.115 * * [misc]simplify: iters left: 3 (11 enodes) 1540331899.118 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331899.118 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.119 * * * * [misc]progress: [ 26 / 266 ] simplifiying candidate # 1540331899.119 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331899.119 * * [misc]simplify: iters left: 4 (5 enodes) 1540331899.121 * * [misc]simplify: iters left: 3 (7 enodes) 1540331899.124 * * [misc]simplify: iters left: 2 (10 enodes) 1540331899.128 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331899.128 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.128 * * * * [misc]progress: [ 27 / 266 ] simplifiying candidate # 1540331899.129 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331899.129 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.132 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.135 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331899.135 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.135 * * * * [misc]progress: [ 28 / 266 ] simplifiying candidate # 1540331899.135 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331899.136 * * [misc]simplify: iters left: 5 (6 enodes) 1540331899.138 * * [misc]simplify: iters left: 4 (8 enodes) 1540331899.141 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331899.141 * [misc]simplify: Simplified (2 1 2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331899.141 * * * * [misc]progress: [ 29 / 266 ] simplifiying candidate # 1540331899.141 * * * * [misc]progress: [ 30 / 266 ] simplifiying candidate # 1540331899.141 * * * * [misc]progress: [ 31 / 266 ] simplifiying candidate # 1540331899.141 * * * * [misc]progress: [ 32 / 266 ] simplifiying candidate # 1540331899.141 * * * * [misc]progress: [ 33 / 266 ] simplifiying candidate # 1540331899.141 * * * * [misc]progress: [ 34 / 266 ] simplifiying candidate # 1540331899.142 * * * * [misc]progress: [ 35 / 266 ] simplifiying candidate # 1540331899.142 * * * * [misc]progress: [ 36 / 266 ] simplifiying candidate # 1540331899.142 * * * * [misc]progress: [ 37 / 266 ] simplifiying candidate # 1540331899.142 * * * * [misc]progress: [ 38 / 266 ] simplifiying candidate # 1540331899.142 * * * * [misc]progress: [ 39 / 266 ] simplifiying candidate # 1540331899.142 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331899.144 * * [misc]simplify: iters left: 6 (18 enodes) 1540331899.154 * * [misc]simplify: iters left: 5 (36 enodes) 1540331899.176 * * [misc]simplify: iters left: 4 (94 enodes) 1540331899.239 * * [misc]simplify: iters left: 3 (325 enodes) 1540331899.568 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1540331899.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1540331899.568 * * * * [misc]progress: [ 40 / 266 ] simplifiying candidate # 1540331899.568 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331899.569 * * [misc]simplify: iters left: 6 (18 enodes) 1540331899.575 * * [misc]simplify: iters left: 5 (36 enodes) 1540331899.594 * * [misc]simplify: iters left: 4 (94 enodes) 1540331899.682 * * [misc]simplify: iters left: 3 (325 enodes) 1540331900.062 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))) 1540331900.062 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1540331900.062 * * * * [misc]progress: [ 41 / 266 ] simplifiying candidate # 1540331900.062 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331900.064 * * [misc]simplify: iters left: 6 (18 enodes) 1540331900.073 * * [misc]simplify: iters left: 5 (34 enodes) 1540331900.095 * * [misc]simplify: iters left: 4 (82 enodes) 1540331900.179 * * [misc]simplify: iters left: 3 (239 enodes) 1540331900.603 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1540331900.606 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1540331900.607 * * * * [misc]progress: [ 42 / 266 ] simplifiying candidate # 1540331900.609 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331900.613 * * [misc]simplify: iters left: 6 (17 enodes) 1540331900.618 * * [misc]simplify: iters left: 5 (30 enodes) 1540331900.636 * * [misc]simplify: iters left: 4 (67 enodes) 1540331900.732 * * [misc]simplify: iters left: 3 (188 enodes) 1540331900.866 * * [misc]simplify: iters left: 2 (366 enodes) 1540331901.489 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))) 1540331901.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* n 2)) (log (sqrt k)))))) 1540331901.489 * * * * [misc]progress: [ 43 / 266 ] simplifiying candidate # 1540331901.489 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331901.491 * * [misc]simplify: iters left: 6 (18 enodes) 1540331901.500 * * [misc]simplify: iters left: 5 (33 enodes) 1540331901.518 * * [misc]simplify: iters left: 4 (70 enodes) 1540331901.592 * * [misc]simplify: iters left: 3 (220 enodes) 1540331901.965 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1540331901.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540331901.965 * * * * [misc]progress: [ 44 / 266 ] simplifiying candidate # 1540331901.965 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331901.967 * * [misc]simplify: iters left: 6 (18 enodes) 1540331901.977 * * [misc]simplify: iters left: 5 (33 enodes) 1540331901.994 * * [misc]simplify: iters left: 4 (70 enodes) 1540331902.052 * * [misc]simplify: iters left: 3 (220 enodes) 1540331902.431 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1540331902.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540331902.431 * * * * [misc]progress: [ 45 / 266 ] simplifiying candidate # 1540331902.432 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331902.434 * * [misc]simplify: iters left: 6 (18 enodes) 1540331902.442 * * [misc]simplify: iters left: 5 (31 enodes) 1540331902.457 * * [misc]simplify: iters left: 4 (58 enodes) 1540331902.491 * * [misc]simplify: iters left: 3 (137 enodes) 1540331902.750 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1540331902.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540331902.750 * * * * [misc]progress: [ 46 / 266 ] simplifiying candidate # 1540331902.751 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331902.753 * * [misc]simplify: iters left: 6 (17 enodes) 1540331902.760 * * [misc]simplify: iters left: 5 (27 enodes) 1540331902.772 * * [misc]simplify: iters left: 4 (43 enodes) 1540331902.794 * * [misc]simplify: iters left: 3 (87 enodes) 1540331902.864 * * [misc]simplify: iters left: 2 (236 enodes) 1540331903.196 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1540331903.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1540331903.196 * * * * [misc]progress: [ 47 / 266 ] simplifiying candidate # 1540331903.197 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331903.199 * * [misc]simplify: iters left: 6 (19 enodes) 1540331903.209 * * [misc]simplify: iters left: 5 (38 enodes) 1540331903.231 * * [misc]simplify: iters left: 4 (77 enodes) 1540331903.285 * * [misc]simplify: iters left: 3 (214 enodes) 1540331903.605 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1540331903.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1540331903.605 * * * * [misc]progress: [ 48 / 266 ] simplifiying candidate # 1540331903.606 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331903.608 * * [misc]simplify: iters left: 6 (19 enodes) 1540331903.619 * * [misc]simplify: iters left: 5 (38 enodes) 1540331903.638 * * [misc]simplify: iters left: 4 (77 enodes) 1540331903.690 * * [misc]simplify: iters left: 3 (214 enodes) 1540331903.976 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1540331903.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1540331903.976 * * * * [misc]progress: [ 49 / 266 ] simplifiying candidate # 1540331903.977 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331903.978 * * [misc]simplify: iters left: 6 (19 enodes) 1540331903.983 * * [misc]simplify: iters left: 5 (36 enodes) 1540331903.992 * * [misc]simplify: iters left: 4 (65 enodes) 1540331904.009 * * [misc]simplify: iters left: 3 (131 enodes) 1540331904.124 * * [misc]simplify: iters left: 2 (494 enodes) 1540331905.224 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))) 1540331905.224 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (- (log (sqrt k)))))) 1540331905.224 * * * * [misc]progress: [ 50 / 266 ] simplifiying candidate # 1540331905.224 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331905.226 * * [misc]simplify: iters left: 6 (18 enodes) 1540331905.236 * * [misc]simplify: iters left: 5 (32 enodes) 1540331905.247 * * [misc]simplify: iters left: 4 (47 enodes) 1540331905.266 * * [misc]simplify: iters left: 3 (75 enodes) 1540331905.309 * * [misc]simplify: iters left: 2 (166 enodes) 1540331905.571 * [exit]simplify: Simplified to (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))) 1540331905.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* 2 n)) (- 1/2 (/ k 2))) (fma (log PI) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1540331905.571 * * * * [misc]progress: [ 51 / 266 ] simplifiying candidate # 1540331905.571 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331905.573 * * [misc]simplify: iters left: 6 (19 enodes) 1540331905.590 * * [misc]simplify: iters left: 5 (40 enodes) 1540331905.611 * * [misc]simplify: iters left: 4 (82 enodes) 1540331905.663 * * [misc]simplify: iters left: 3 (222 enodes) 1540331906.002 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1540331906.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1540331906.002 * * * * [misc]progress: [ 52 / 266 ] simplifiying candidate # 1540331906.003 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540331906.005 * * [misc]simplify: iters left: 6 (19 enodes) 1540331906.017 * * [misc]simplify: iters left: 5 (40 enodes) 1540331906.037 * * [misc]simplify: iters left: 4 (82 enodes) 1540331906.096 * * [misc]simplify: iters left: 3 (222 enodes) 1540331906.424 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1540331906.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1540331906.425 * * * * [misc]progress: [ 53 / 266 ] simplifiying candidate # 1540331906.425 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331906.427 * * [misc]simplify: iters left: 6 (19 enodes) 1540331906.441 * * [misc]simplify: iters left: 5 (38 enodes) 1540331906.458 * * [misc]simplify: iters left: 4 (70 enodes) 1540331906.492 * * [misc]simplify: iters left: 3 (139 enodes) 1540331906.713 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1540331906.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1540331906.713 * * * * [misc]progress: [ 54 / 266 ] simplifiying candidate # 1540331906.713 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331906.715 * * [misc]simplify: iters left: 6 (18 enodes) 1540331906.726 * * [misc]simplify: iters left: 5 (34 enodes) 1540331906.741 * * [misc]simplify: iters left: 4 (56 enodes) 1540331906.764 * * [misc]simplify: iters left: 3 (85 enodes) 1540331906.824 * * [misc]simplify: iters left: 2 (195 enodes) 1540331907.170 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))) 1540331907.171 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* 2 n))) (fma (+ (/ k 2) -1/2) (log PI) (log (sqrt k)))))) 1540331907.171 * * * * [misc]progress: [ 55 / 266 ] simplifiying candidate # 1540331907.171 * * * * [misc]progress: [ 56 / 266 ] simplifiying candidate # 1540331907.171 * * * * [misc]progress: [ 57 / 266 ] simplifiying candidate # 1540331907.171 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331907.174 * * [misc]simplify: iters left: 6 (22 enodes) 1540331907.188 * * [misc]simplify: iters left: 5 (49 enodes) 1540331907.217 * * [misc]simplify: iters left: 4 (146 enodes) 1540331907.434 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331907.434 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331907.434 * * * * [misc]progress: [ 58 / 266 ] simplifiying candidate # 1540331907.434 * [enter]simplify: Simplifying (/ (* (* (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (sqrt k) (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)))))) 1540331907.436 * * [misc]simplify: iters left: 6 (20 enodes) 1540331907.443 * * [misc]simplify: iters left: 5 (48 enodes) 1540331907.461 * * [misc]simplify: iters left: 4 (131 enodes) 1540331907.628 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 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))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331907.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 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))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331907.628 * * * * [misc]progress: [ 59 / 266 ] simplifiying candidate # 1540331907.628 * * * * [misc]progress: [ 60 / 266 ] simplifiying candidate # 1540331907.629 * * * * [misc]progress: [ 61 / 266 ] simplifiying candidate # 1540331907.629 * * * * [misc]progress: [ 62 / 266 ] simplifiying candidate # 1540331907.629 * * * * [misc]progress: [ 63 / 266 ] simplifiying candidate # 1540331907.629 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331907.631 * * [misc]simplify: iters left: 6 (20 enodes) 1540331907.641 * * [misc]simplify: iters left: 5 (33 enodes) 1540331907.654 * * [misc]simplify: iters left: 4 (46 enodes) 1540331907.669 * * [misc]simplify: iters left: 3 (53 enodes) 1540331907.684 * * [misc]simplify: iters left: 2 (56 enodes) 1540331907.715 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331907.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331907.716 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331907.718 * * [misc]simplify: iters left: 6 (18 enodes) 1540331907.726 * * [misc]simplify: iters left: 5 (25 enodes) 1540331907.735 * * [misc]simplify: iters left: 4 (29 enodes) 1540331907.745 * * [misc]simplify: iters left: 3 (33 enodes) 1540331907.757 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331907.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331907.757 * * * * [misc]progress: [ 64 / 266 ] simplifiying candidate # 1540331907.757 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331907.759 * * [misc]simplify: iters left: 6 (19 enodes) 1540331907.768 * * [misc]simplify: iters left: 5 (28 enodes) 1540331907.778 * * [misc]simplify: iters left: 4 (34 enodes) 1540331907.790 * * [misc]simplify: iters left: 3 (39 enodes) 1540331907.804 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331907.804 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331907.804 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331907.806 * * [misc]simplify: iters left: 6 (18 enodes) 1540331907.814 * * [misc]simplify: iters left: 5 (25 enodes) 1540331907.822 * * [misc]simplify: iters left: 4 (29 enodes) 1540331907.832 * * [misc]simplify: iters left: 3 (33 enodes) 1540331907.843 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331907.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331907.843 * * * * [misc]progress: [ 65 / 266 ] simplifiying candidate # 1540331907.843 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331907.847 * * [misc]simplify: iters left: 6 (20 enodes) 1540331907.857 * * [misc]simplify: iters left: 5 (34 enodes) 1540331907.871 * * [misc]simplify: iters left: 4 (53 enodes) 1540331907.884 * * [misc]simplify: iters left: 3 (98 enodes) 1540331907.908 * * [misc]simplify: iters left: 2 (155 enodes) 1540331907.974 * * [misc]simplify: iters left: 1 (186 enodes) 1540331908.064 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331908.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331908.064 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331908.065 * * [misc]simplify: iters left: 6 (19 enodes) 1540331908.070 * * [misc]simplify: iters left: 5 (29 enodes) 1540331908.075 * * [misc]simplify: iters left: 4 (34 enodes) 1540331908.082 * * [misc]simplify: iters left: 3 (40 enodes) 1540331908.088 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331908.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331908.088 * * * * [misc]progress: [ 66 / 266 ] simplifiying candidate # 1540331908.089 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331908.090 * * [misc]simplify: iters left: 6 (20 enodes) 1540331908.095 * * [misc]simplify: iters left: 5 (34 enodes) 1540331908.102 * * [misc]simplify: iters left: 4 (53 enodes) 1540331908.116 * * [misc]simplify: iters left: 3 (98 enodes) 1540331908.141 * * [misc]simplify: iters left: 2 (155 enodes) 1540331908.203 * * [misc]simplify: iters left: 1 (186 enodes) 1540331908.295 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331908.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331908.296 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331908.298 * * [misc]simplify: iters left: 6 (19 enodes) 1540331908.307 * * [misc]simplify: iters left: 5 (29 enodes) 1540331908.316 * * [misc]simplify: iters left: 4 (34 enodes) 1540331908.328 * * [misc]simplify: iters left: 3 (40 enodes) 1540331908.341 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331908.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331908.341 * * * * [misc]progress: [ 67 / 266 ] simplifiying candidate # 1540331908.341 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331908.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540331908.353 * * [misc]simplify: iters left: 5 (31 enodes) 1540331908.365 * * [misc]simplify: iters left: 4 (50 enodes) 1540331908.392 * * [misc]simplify: iters left: 3 (95 enodes) 1540331908.417 * * [misc]simplify: iters left: 2 (150 enodes) 1540331908.466 * * [misc]simplify: iters left: 1 (181 enodes) 1540331908.555 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331908.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331908.556 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331908.558 * * [misc]simplify: iters left: 6 (16 enodes) 1540331908.565 * * [misc]simplify: iters left: 5 (24 enodes) 1540331908.573 * * [misc]simplify: iters left: 4 (31 enodes) 1540331908.584 * * [misc]simplify: iters left: 3 (37 enodes) 1540331908.595 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331908.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331908.596 * * * * [misc]progress: [ 68 / 266 ] simplifiying candidate # 1540331908.596 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331908.598 * * [misc]simplify: iters left: 6 (22 enodes) 1540331908.612 * * [misc]simplify: iters left: 5 (39 enodes) 1540331908.630 * * [misc]simplify: iters left: 4 (74 enodes) 1540331908.669 * * [misc]simplify: iters left: 3 (149 enodes) 1540331908.758 * * [misc]simplify: iters left: 2 (277 enodes) 1540331908.912 * * [misc]simplify: iters left: 1 (387 enodes) 1540331909.191 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1540331909.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331909.192 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331909.194 * * [misc]simplify: iters left: 6 (19 enodes) 1540331909.202 * * [misc]simplify: iters left: 5 (28 enodes) 1540331909.207 * * [misc]simplify: iters left: 4 (35 enodes) 1540331909.213 * * [misc]simplify: iters left: 3 (41 enodes) 1540331909.225 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540331909.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540331909.225 * * * * [misc]progress: [ 69 / 266 ] simplifiying candidate # 1540331909.225 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331909.228 * * [misc]simplify: iters left: 6 (21 enodes) 1540331909.238 * * [misc]simplify: iters left: 5 (34 enodes) 1540331909.252 * * [misc]simplify: iters left: 4 (53 enodes) 1540331909.278 * * [misc]simplify: iters left: 3 (98 enodes) 1540331909.322 * * [misc]simplify: iters left: 2 (151 enodes) 1540331909.388 * * [misc]simplify: iters left: 1 (184 enodes) 1540331909.484 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331909.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331909.485 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331909.487 * * [misc]simplify: iters left: 6 (19 enodes) 1540331909.496 * * [misc]simplify: iters left: 5 (28 enodes) 1540331909.506 * * [misc]simplify: iters left: 4 (35 enodes) 1540331909.520 * * [misc]simplify: iters left: 3 (41 enodes) 1540331909.534 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540331909.534 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540331909.535 * * * * [misc]progress: [ 70 / 266 ] simplifiying candidate # 1540331909.535 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540331909.537 * * [misc]simplify: iters left: 6 (17 enodes) 1540331909.546 * * [misc]simplify: iters left: 5 (29 enodes) 1540331909.560 * * [misc]simplify: iters left: 4 (51 enodes) 1540331909.585 * * [misc]simplify: iters left: 3 (95 enodes) 1540331909.656 * * [misc]simplify: iters left: 2 (277 enodes) 1540331910.021 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540331910.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331910.021 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331910.023 * * [misc]simplify: iters left: 6 (18 enodes) 1540331910.031 * * [misc]simplify: iters left: 5 (27 enodes) 1540331910.040 * * [misc]simplify: iters left: 4 (34 enodes) 1540331910.052 * * [misc]simplify: iters left: 3 (40 enodes) 1540331910.065 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331910.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331910.065 * * * * [misc]progress: [ 71 / 266 ] simplifiying candidate # 1540331910.065 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331910.067 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.076 * * [misc]simplify: iters left: 5 (31 enodes) 1540331910.087 * * [misc]simplify: iters left: 4 (42 enodes) 1540331910.106 * * [misc]simplify: iters left: 3 (58 enodes) 1540331910.123 * * [misc]simplify: iters left: 2 (70 enodes) 1540331910.143 * * [misc]simplify: iters left: 1 (76 enodes) 1540331910.174 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540331910.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331910.174 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331910.176 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.186 * * [misc]simplify: iters left: 5 (29 enodes) 1540331910.195 * * [misc]simplify: iters left: 4 (34 enodes) 1540331910.207 * * [misc]simplify: iters left: 3 (40 enodes) 1540331910.220 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331910.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331910.220 * * * * [misc]progress: [ 72 / 266 ] simplifiying candidate # 1540331910.221 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331910.223 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.235 * * [misc]simplify: iters left: 5 (31 enodes) 1540331910.246 * * [misc]simplify: iters left: 4 (42 enodes) 1540331910.262 * * [misc]simplify: iters left: 3 (58 enodes) 1540331910.280 * * [misc]simplify: iters left: 2 (70 enodes) 1540331910.300 * * [misc]simplify: iters left: 1 (76 enodes) 1540331910.330 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540331910.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331910.331 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331910.333 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.342 * * [misc]simplify: iters left: 5 (29 enodes) 1540331910.351 * * [misc]simplify: iters left: 4 (34 enodes) 1540331910.365 * * [misc]simplify: iters left: 3 (40 enodes) 1540331910.378 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331910.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331910.378 * * * * [misc]progress: [ 73 / 266 ] simplifiying candidate # 1540331910.379 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331910.380 * * [misc]simplify: iters left: 6 (18 enodes) 1540331910.389 * * [misc]simplify: iters left: 5 (28 enodes) 1540331910.400 * * [misc]simplify: iters left: 4 (39 enodes) 1540331910.415 * * [misc]simplify: iters left: 3 (55 enodes) 1540331910.433 * * [misc]simplify: iters left: 2 (67 enodes) 1540331910.453 * * [misc]simplify: iters left: 1 (73 enodes) 1540331910.482 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331910.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331910.482 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331910.483 * * [misc]simplify: iters left: 6 (16 enodes) 1540331910.491 * * [misc]simplify: iters left: 5 (24 enodes) 1540331910.501 * * [misc]simplify: iters left: 4 (31 enodes) 1540331910.513 * * [misc]simplify: iters left: 3 (37 enodes) 1540331910.524 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331910.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331910.524 * * * * [misc]progress: [ 74 / 266 ] simplifiying candidate # 1540331910.525 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331910.527 * * [misc]simplify: iters left: 6 (21 enodes) 1540331910.537 * * [misc]simplify: iters left: 5 (34 enodes) 1540331910.549 * * [misc]simplify: iters left: 4 (49 enodes) 1540331910.571 * * [misc]simplify: iters left: 3 (79 enodes) 1540331910.601 * * [misc]simplify: iters left: 2 (118 enodes) 1540331910.652 * * [misc]simplify: iters left: 1 (151 enodes) 1540331910.727 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540331910.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331910.727 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331910.729 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.738 * * [misc]simplify: iters left: 5 (28 enodes) 1540331910.750 * * [misc]simplify: iters left: 4 (35 enodes) 1540331910.763 * * [misc]simplify: iters left: 3 (41 enodes) 1540331910.777 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331910.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540331910.777 * * * * [misc]progress: [ 75 / 266 ] simplifiying candidate # 1540331910.777 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331910.779 * * [misc]simplify: iters left: 6 (20 enodes) 1540331910.789 * * [misc]simplify: iters left: 5 (31 enodes) 1540331910.800 * * [misc]simplify: iters left: 4 (42 enodes) 1540331910.816 * * [misc]simplify: iters left: 3 (58 enodes) 1540331910.833 * * [misc]simplify: iters left: 2 (70 enodes) 1540331910.855 * * [misc]simplify: iters left: 1 (76 enodes) 1540331910.890 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540331910.890 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331910.890 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331910.892 * * [misc]simplify: iters left: 6 (19 enodes) 1540331910.901 * * [misc]simplify: iters left: 5 (28 enodes) 1540331910.911 * * [misc]simplify: iters left: 4 (35 enodes) 1540331910.923 * * [misc]simplify: iters left: 3 (41 enodes) 1540331910.938 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331910.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540331910.938 * * * * [misc]progress: [ 76 / 266 ] simplifiying candidate # 1540331910.938 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) 1)) 1540331910.940 * * [misc]simplify: iters left: 6 (16 enodes) 1540331910.948 * * [misc]simplify: iters left: 5 (26 enodes) 1540331910.959 * * [misc]simplify: iters left: 4 (38 enodes) 1540331910.973 * * [misc]simplify: iters left: 3 (50 enodes) 1540331910.986 * * [misc]simplify: iters left: 2 (51 enodes) 1540331910.997 * * [misc]simplify: iters left: 1 (57 enodes) 1540331911.016 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331911.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331911.016 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331911.018 * * [misc]simplify: iters left: 6 (18 enodes) 1540331911.029 * * [misc]simplify: iters left: 5 (27 enodes) 1540331911.037 * * [misc]simplify: iters left: 4 (34 enodes) 1540331911.049 * * [misc]simplify: iters left: 3 (40 enodes) 1540331911.062 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331911.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331911.062 * * * * [misc]progress: [ 77 / 266 ] simplifiying candidate # 1540331911.062 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1540331911.064 * * [misc]simplify: iters left: 6 (17 enodes) 1540331911.073 * * [misc]simplify: iters left: 5 (29 enodes) 1540331911.083 * * [misc]simplify: iters left: 4 (40 enodes) 1540331911.100 * * [misc]simplify: iters left: 3 (59 enodes) 1540331911.120 * * [misc]simplify: iters left: 2 (81 enodes) 1540331911.161 * * [misc]simplify: iters left: 1 (160 enodes) 1540331911.249 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331911.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331911.249 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331911.251 * * [misc]simplify: iters left: 6 (18 enodes) 1540331911.260 * * [misc]simplify: iters left: 5 (28 enodes) 1540331911.269 * * [misc]simplify: iters left: 4 (33 enodes) 1540331911.280 * * [misc]simplify: iters left: 3 (39 enodes) 1540331911.293 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540331911.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540331911.293 * * * * [misc]progress: [ 78 / 266 ] simplifiying candidate # 1540331911.293 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow (* n 2) 1/2))) 1540331911.295 * * [misc]simplify: iters left: 6 (17 enodes) 1540331911.307 * * [misc]simplify: iters left: 5 (29 enodes) 1540331911.317 * * [misc]simplify: iters left: 4 (40 enodes) 1540331911.335 * * [misc]simplify: iters left: 3 (59 enodes) 1540331911.356 * * [misc]simplify: iters left: 2 (81 enodes) 1540331911.395 * * [misc]simplify: iters left: 1 (160 enodes) 1540331911.485 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331911.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331911.485 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331911.487 * * [misc]simplify: iters left: 6 (18 enodes) 1540331911.495 * * [misc]simplify: iters left: 5 (28 enodes) 1540331911.504 * * [misc]simplify: iters left: 4 (33 enodes) 1540331911.517 * * [misc]simplify: iters left: 3 (39 enodes) 1540331911.529 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540331911.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540331911.529 * * * * [misc]progress: [ 79 / 266 ] simplifiying candidate # 1540331911.530 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540331911.531 * * [misc]simplify: iters left: 6 (16 enodes) 1540331911.539 * * [misc]simplify: iters left: 5 (26 enodes) 1540331911.549 * * [misc]simplify: iters left: 4 (37 enodes) 1540331911.566 * * [misc]simplify: iters left: 3 (56 enodes) 1540331911.588 * * [misc]simplify: iters left: 2 (78 enodes) 1540331911.623 * * [misc]simplify: iters left: 1 (140 enodes) 1540331911.706 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540331911.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331911.706 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331911.708 * * [misc]simplify: iters left: 6 (15 enodes) 1540331911.717 * * [misc]simplify: iters left: 5 (23 enodes) 1540331911.726 * * [misc]simplify: iters left: 4 (30 enodes) 1540331911.737 * * [misc]simplify: iters left: 3 (36 enodes) 1540331911.748 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331911.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331911.748 * * * * [misc]progress: [ 80 / 266 ] simplifiying candidate # 1540331911.748 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331911.752 * * [misc]simplify: iters left: 6 (19 enodes) 1540331911.761 * * [misc]simplify: iters left: 5 (32 enodes) 1540331911.774 * * [misc]simplify: iters left: 4 (47 enodes) 1540331911.795 * * [misc]simplify: iters left: 3 (78 enodes) 1540331911.831 * * [misc]simplify: iters left: 2 (146 enodes) 1540331911.966 * * [misc]simplify: iters left: 1 (394 enodes) 1540331912.399 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331912.399 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331912.399 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331912.401 * * [misc]simplify: iters left: 6 (18 enodes) 1540331912.410 * * [misc]simplify: iters left: 5 (27 enodes) 1540331912.419 * * [misc]simplify: iters left: 4 (34 enodes) 1540331912.431 * * [misc]simplify: iters left: 3 (40 enodes) 1540331912.445 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331912.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331912.445 * * * * [misc]progress: [ 81 / 266 ] simplifiying candidate # 1540331912.446 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331912.448 * * [misc]simplify: iters left: 6 (18 enodes) 1540331912.456 * * [misc]simplify: iters left: 5 (29 enodes) 1540331912.467 * * [misc]simplify: iters left: 4 (40 enodes) 1540331912.486 * * [misc]simplify: iters left: 3 (59 enodes) 1540331912.506 * * [misc]simplify: iters left: 2 (81 enodes) 1540331912.545 * * [misc]simplify: iters left: 1 (161 enodes) 1540331912.635 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331912.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331912.636 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331912.638 * * [misc]simplify: iters left: 6 (18 enodes) 1540331912.646 * * [misc]simplify: iters left: 5 (27 enodes) 1540331912.655 * * [misc]simplify: iters left: 4 (34 enodes) 1540331912.667 * * [misc]simplify: iters left: 3 (40 enodes) 1540331912.681 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331912.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331912.681 * * * * [misc]progress: [ 82 / 266 ] simplifiying candidate # 1540331912.681 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1540331912.683 * * [misc]simplify: iters left: 6 (14 enodes) 1540331912.689 * * [misc]simplify: iters left: 5 (21 enodes) 1540331912.697 * * [misc]simplify: iters left: 4 (29 enodes) 1540331912.707 * * [misc]simplify: iters left: 3 (39 enodes) 1540331912.720 * * [misc]simplify: iters left: 2 (51 enodes) 1540331912.737 * * [misc]simplify: iters left: 1 (79 enodes) 1540331912.763 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540331912.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331912.764 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331912.765 * * [misc]simplify: iters left: 6 (17 enodes) 1540331912.774 * * [misc]simplify: iters left: 5 (26 enodes) 1540331912.783 * * [misc]simplify: iters left: 4 (33 enodes) 1540331912.794 * * [misc]simplify: iters left: 3 (39 enodes) 1540331912.806 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331912.806 * [misc]simplify: Simplified (2 2) 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)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331912.806 * * * * [misc]progress: [ 83 / 266 ] simplifiying candidate # 1540331912.807 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1540331912.808 * * [misc]simplify: iters left: 6 (13 enodes) 1540331912.815 * * [misc]simplify: iters left: 5 (21 enodes) 1540331912.823 * * [misc]simplify: iters left: 4 (31 enodes) 1540331912.834 * * [misc]simplify: iters left: 3 (46 enodes) 1540331912.851 * * [misc]simplify: iters left: 2 (72 enodes) 1540331912.872 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540331912.872 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331912.872 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331912.874 * * [misc]simplify: iters left: 6 (17 enodes) 1540331912.881 * * [misc]simplify: iters left: 5 (26 enodes) 1540331912.893 * * [misc]simplify: iters left: 4 (33 enodes) 1540331912.904 * * [misc]simplify: iters left: 3 (39 enodes) 1540331912.916 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331912.916 * [misc]simplify: Simplified (2 2) 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)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331912.916 * * * * [misc]progress: [ 84 / 266 ] simplifiying candidate # 1540331912.917 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1540331912.918 * * [misc]simplify: iters left: 6 (14 enodes) 1540331912.925 * * [misc]simplify: iters left: 5 (22 enodes) 1540331912.933 * * [misc]simplify: iters left: 4 (28 enodes) 1540331912.943 * * [misc]simplify: iters left: 3 (33 enodes) 1540331912.954 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540331912.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331912.955 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540331912.956 * * [misc]simplify: iters left: 6 (16 enodes) 1540331912.964 * * [misc]simplify: iters left: 5 (25 enodes) 1540331912.972 * * [misc]simplify: iters left: 4 (32 enodes) 1540331912.985 * * [misc]simplify: iters left: 3 (45 enodes) 1540331912.998 * * [misc]simplify: iters left: 2 (47 enodes) 1540331913.008 * * [misc]simplify: iters left: 1 (52 enodes) 1540331913.023 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540331913.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1540331913.023 * * * * [misc]progress: [ 85 / 266 ] simplifiying candidate # 1540331913.024 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540331913.025 * * [misc]simplify: iters left: 6 (18 enodes) 1540331913.037 * * [misc]simplify: iters left: 5 (30 enodes) 1540331913.048 * * [misc]simplify: iters left: 4 (41 enodes) 1540331913.064 * * [misc]simplify: iters left: 3 (57 enodes) 1540331913.081 * * [misc]simplify: iters left: 2 (69 enodes) 1540331913.100 * * [misc]simplify: iters left: 1 (75 enodes) 1540331913.126 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1540331913.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1540331913.127 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1540331913.128 * * [misc]simplify: iters left: 6 (15 enodes) 1540331913.134 * * [misc]simplify: iters left: 5 (22 enodes) 1540331913.141 * * [misc]simplify: iters left: 4 (26 enodes) 1540331913.150 * * [misc]simplify: iters left: 3 (30 enodes) 1540331913.159 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540331913.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540331913.159 * * * * [misc]progress: [ 86 / 266 ] simplifiying candidate # 1540331913.160 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331913.164 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.173 * * [misc]simplify: iters left: 5 (28 enodes) 1540331913.182 * * [misc]simplify: iters left: 4 (32 enodes) 1540331913.193 * * [misc]simplify: iters left: 3 (36 enodes) 1540331913.206 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331913.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331913.206 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331913.208 * * [misc]simplify: iters left: 6 (18 enodes) 1540331913.216 * * [misc]simplify: iters left: 5 (25 enodes) 1540331913.224 * * [misc]simplify: iters left: 4 (29 enodes) 1540331913.234 * * [misc]simplify: iters left: 3 (33 enodes) 1540331913.245 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331913.245 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331913.245 * * * * [misc]progress: [ 87 / 266 ] simplifiying candidate # 1540331913.246 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331913.247 * * [misc]simplify: iters left: 6 (18 enodes) 1540331913.255 * * [misc]simplify: iters left: 5 (25 enodes) 1540331913.263 * * [misc]simplify: iters left: 4 (29 enodes) 1540331913.273 * * [misc]simplify: iters left: 3 (33 enodes) 1540331913.284 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331913.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331913.285 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331913.287 * * [misc]simplify: iters left: 6 (18 enodes) 1540331913.295 * * [misc]simplify: iters left: 5 (25 enodes) 1540331913.305 * * [misc]simplify: iters left: 4 (29 enodes) 1540331913.315 * * [misc]simplify: iters left: 3 (33 enodes) 1540331913.326 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331913.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331913.326 * * * * [misc]progress: [ 88 / 266 ] simplifiying candidate # 1540331913.326 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331913.328 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.338 * * [misc]simplify: iters left: 5 (31 enodes) 1540331913.349 * * [misc]simplify: iters left: 4 (42 enodes) 1540331913.363 * * [misc]simplify: iters left: 3 (58 enodes) 1540331913.378 * * [misc]simplify: iters left: 2 (63 enodes) 1540331913.394 * * [misc]simplify: iters left: 1 (70 enodes) 1540331913.417 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1540331913.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331913.417 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331913.419 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.428 * * [misc]simplify: iters left: 5 (29 enodes) 1540331913.440 * * [misc]simplify: iters left: 4 (34 enodes) 1540331913.452 * * [misc]simplify: iters left: 3 (40 enodes) 1540331913.464 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331913.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331913.465 * * * * [misc]progress: [ 89 / 266 ] simplifiying candidate # 1540331913.465 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331913.467 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.476 * * [misc]simplify: iters left: 5 (31 enodes) 1540331913.487 * * [misc]simplify: iters left: 4 (42 enodes) 1540331913.503 * * [misc]simplify: iters left: 3 (58 enodes) 1540331913.519 * * [misc]simplify: iters left: 2 (63 enodes) 1540331913.536 * * [misc]simplify: iters left: 1 (70 enodes) 1540331913.559 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1540331913.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331913.560 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331913.561 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.570 * * [misc]simplify: iters left: 5 (29 enodes) 1540331913.582 * * [misc]simplify: iters left: 4 (34 enodes) 1540331913.594 * * [misc]simplify: iters left: 3 (40 enodes) 1540331913.608 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331913.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331913.608 * * * * [misc]progress: [ 90 / 266 ] simplifiying candidate # 1540331913.608 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331913.610 * * [misc]simplify: iters left: 6 (18 enodes) 1540331913.618 * * [misc]simplify: iters left: 5 (28 enodes) 1540331913.629 * * [misc]simplify: iters left: 4 (39 enodes) 1540331913.644 * * [misc]simplify: iters left: 3 (55 enodes) 1540331913.660 * * [misc]simplify: iters left: 2 (60 enodes) 1540331913.676 * * [misc]simplify: iters left: 1 (67 enodes) 1540331913.697 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331913.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331913.697 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331913.699 * * [misc]simplify: iters left: 6 (16 enodes) 1540331913.707 * * [misc]simplify: iters left: 5 (24 enodes) 1540331913.717 * * [misc]simplify: iters left: 4 (31 enodes) 1540331913.728 * * [misc]simplify: iters left: 3 (37 enodes) 1540331913.740 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331913.740 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331913.740 * * * * [misc]progress: [ 91 / 266 ] simplifiying candidate # 1540331913.740 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331913.742 * * [misc]simplify: iters left: 6 (21 enodes) 1540331913.752 * * [misc]simplify: iters left: 5 (36 enodes) 1540331913.767 * * [misc]simplify: iters left: 4 (58 enodes) 1540331913.791 * * [misc]simplify: iters left: 3 (85 enodes) 1540331913.823 * * [misc]simplify: iters left: 2 (115 enodes) 1540331913.865 * * [misc]simplify: iters left: 1 (139 enodes) 1540331913.937 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 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)))))) 1540331913.937 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 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)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331913.937 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331913.939 * * [misc]simplify: iters left: 6 (19 enodes) 1540331913.948 * * [misc]simplify: iters left: 5 (28 enodes) 1540331913.957 * * [misc]simplify: iters left: 4 (35 enodes) 1540331913.972 * * [misc]simplify: iters left: 3 (41 enodes) 1540331913.986 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540331913.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 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 (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540331913.986 * * * * [misc]progress: [ 92 / 266 ] simplifiying candidate # 1540331913.986 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331913.988 * * [misc]simplify: iters left: 6 (20 enodes) 1540331913.998 * * [misc]simplify: iters left: 5 (31 enodes) 1540331914.009 * * [misc]simplify: iters left: 4 (42 enodes) 1540331914.026 * * [misc]simplify: iters left: 3 (58 enodes) 1540331914.043 * * [misc]simplify: iters left: 2 (63 enodes) 1540331914.060 * * [misc]simplify: iters left: 1 (70 enodes) 1540331914.088 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331914.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331914.089 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331914.090 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.101 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.111 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.122 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.137 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540331914.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540331914.137 * * * * [misc]progress: [ 93 / 266 ] simplifiying candidate # 1540331914.137 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540331914.139 * * [misc]simplify: iters left: 6 (16 enodes) 1540331914.147 * * [misc]simplify: iters left: 5 (26 enodes) 1540331914.158 * * [misc]simplify: iters left: 4 (41 enodes) 1540331914.174 * * [misc]simplify: iters left: 3 (63 enodes) 1540331914.202 * * [misc]simplify: iters left: 2 (129 enodes) 1540331914.277 * * [misc]simplify: iters left: 1 (190 enodes) 1540331914.321 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331914.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331914.321 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331914.323 * * [misc]simplify: iters left: 6 (18 enodes) 1540331914.331 * * [misc]simplify: iters left: 5 (27 enodes) 1540331914.341 * * [misc]simplify: iters left: 4 (34 enodes) 1540331914.353 * * [misc]simplify: iters left: 3 (40 enodes) 1540331914.365 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331914.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331914.366 * * * * [misc]progress: [ 94 / 266 ] simplifiying candidate # 1540331914.366 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331914.368 * * [misc]simplify: iters left: 6 (18 enodes) 1540331914.379 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.388 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.400 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.413 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540331914.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331914.413 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331914.415 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.424 * * [misc]simplify: iters left: 5 (29 enodes) 1540331914.433 * * [misc]simplify: iters left: 4 (34 enodes) 1540331914.445 * * [misc]simplify: iters left: 3 (40 enodes) 1540331914.458 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331914.458 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331914.458 * * * * [misc]progress: [ 95 / 266 ] simplifiying candidate # 1540331914.458 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331914.460 * * [misc]simplify: iters left: 6 (18 enodes) 1540331914.469 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.479 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.490 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.503 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540331914.503 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331914.504 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331914.506 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.517 * * [misc]simplify: iters left: 5 (29 enodes) 1540331914.527 * * [misc]simplify: iters left: 4 (34 enodes) 1540331914.538 * * [misc]simplify: iters left: 3 (40 enodes) 1540331914.551 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331914.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331914.551 * * * * [misc]progress: [ 96 / 266 ] simplifiying candidate # 1540331914.552 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331914.553 * * [misc]simplify: iters left: 6 (17 enodes) 1540331914.561 * * [misc]simplify: iters left: 5 (25 enodes) 1540331914.569 * * [misc]simplify: iters left: 4 (32 enodes) 1540331914.581 * * [misc]simplify: iters left: 3 (38 enodes) 1540331914.593 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331914.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331914.593 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331914.595 * * [misc]simplify: iters left: 6 (16 enodes) 1540331914.602 * * [misc]simplify: iters left: 5 (24 enodes) 1540331914.610 * * [misc]simplify: iters left: 4 (31 enodes) 1540331914.621 * * [misc]simplify: iters left: 3 (37 enodes) 1540331914.633 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331914.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331914.633 * * * * [misc]progress: [ 97 / 266 ] simplifiying candidate # 1540331914.634 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331914.636 * * [misc]simplify: iters left: 6 (20 enodes) 1540331914.645 * * [misc]simplify: iters left: 5 (31 enodes) 1540331914.658 * * [misc]simplify: iters left: 4 (40 enodes) 1540331914.673 * * [misc]simplify: iters left: 3 (53 enodes) 1540331914.690 * * [misc]simplify: iters left: 2 (61 enodes) 1540331914.705 * * [misc]simplify: iters left: 1 (63 enodes) 1540331914.732 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331914.732 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331914.732 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331914.734 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.742 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.752 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.764 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.779 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331914.779 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540331914.779 * * * * [misc]progress: [ 98 / 266 ] simplifiying candidate # 1540331914.779 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331914.781 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.792 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.802 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.814 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.828 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331914.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331914.829 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331914.831 * * [misc]simplify: iters left: 6 (19 enodes) 1540331914.839 * * [misc]simplify: iters left: 5 (28 enodes) 1540331914.849 * * [misc]simplify: iters left: 4 (35 enodes) 1540331914.861 * * [misc]simplify: iters left: 3 (41 enodes) 1540331914.876 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331914.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540331914.876 * * * * [misc]progress: [ 99 / 266 ] simplifiying candidate # 1540331914.876 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1540331914.878 * * [misc]simplify: iters left: 6 (15 enodes) 1540331914.893 * * [misc]simplify: iters left: 5 (23 enodes) 1540331914.914 * * [misc]simplify: iters left: 4 (34 enodes) 1540331914.933 * * [misc]simplify: iters left: 3 (39 enodes) 1540331914.960 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331914.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331914.960 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331914.991 * * [misc]simplify: iters left: 6 (18 enodes) 1540331915.250 * * [misc]simplify: iters left: 5 (27 enodes) 1540331915.289 * * [misc]simplify: iters left: 4 (34 enodes) 1540331915.326 * * [misc]simplify: iters left: 3 (40 enodes) 1540331915.408 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331915.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331915.408 * * * * [misc]progress: [ 100 / 266 ] simplifiying candidate # 1540331915.409 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1540331915.410 * * [misc]simplify: iters left: 6 (16 enodes) 1540331915.446 * * [misc]simplify: iters left: 5 (26 enodes) 1540331915.478 * * [misc]simplify: iters left: 4 (33 enodes) 1540331915.507 * * [misc]simplify: iters left: 3 (46 enodes) 1540331915.523 * * [misc]simplify: iters left: 2 (48 enodes) 1540331915.533 * * [misc]simplify: iters left: 1 (53 enodes) 1540331915.569 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540331915.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331915.569 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331915.577 * * [misc]simplify: iters left: 6 (18 enodes) 1540331915.597 * * [misc]simplify: iters left: 5 (28 enodes) 1540331915.618 * * [misc]simplify: iters left: 4 (33 enodes) 1540331915.639 * * [misc]simplify: iters left: 3 (39 enodes) 1540331915.833 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540331915.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540331915.833 * * * * [misc]progress: [ 101 / 266 ] simplifiying candidate # 1540331915.833 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1540331915.838 * * [misc]simplify: iters left: 6 (16 enodes) 1540331915.856 * * [misc]simplify: iters left: 5 (26 enodes) 1540331915.864 * * [misc]simplify: iters left: 4 (33 enodes) 1540331915.885 * * [misc]simplify: iters left: 3 (46 enodes) 1540331915.898 * * [misc]simplify: iters left: 2 (48 enodes) 1540331915.914 * * [misc]simplify: iters left: 1 (53 enodes) 1540331915.929 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540331915.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331915.929 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331915.932 * * [misc]simplify: iters left: 6 (18 enodes) 1540331915.951 * * [misc]simplify: iters left: 5 (28 enodes) 1540331915.961 * * [misc]simplify: iters left: 4 (33 enodes) 1540331915.973 * * [misc]simplify: iters left: 3 (39 enodes) 1540331915.986 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540331915.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540331915.986 * * * * [misc]progress: [ 102 / 266 ] simplifiying candidate # 1540331915.987 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540331915.988 * * [misc]simplify: iters left: 6 (15 enodes) 1540331915.993 * * [misc]simplify: iters left: 5 (23 enodes) 1540331916.042 * * [misc]simplify: iters left: 4 (30 enodes) 1540331916.090 * * [misc]simplify: iters left: 3 (43 enodes) 1540331916.110 * * [misc]simplify: iters left: 2 (45 enodes) 1540331916.119 * * [misc]simplify: iters left: 1 (50 enodes) 1540331916.133 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540331916.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331916.135 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331916.141 * * [misc]simplify: iters left: 6 (15 enodes) 1540331916.155 * * [misc]simplify: iters left: 5 (23 enodes) 1540331916.164 * * [misc]simplify: iters left: 4 (30 enodes) 1540331916.178 * * [misc]simplify: iters left: 3 (36 enodes) 1540331916.188 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331916.188 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331916.188 * * * * [misc]progress: [ 103 / 266 ] simplifiying candidate # 1540331916.191 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331916.195 * * [misc]simplify: iters left: 6 (18 enodes) 1540331916.205 * * [misc]simplify: iters left: 5 (29 enodes) 1540331916.219 * * [misc]simplify: iters left: 4 (38 enodes) 1540331916.249 * * [misc]simplify: iters left: 3 (55 enodes) 1540331916.343 * * [misc]simplify: iters left: 2 (64 enodes) 1540331916.375 * * [misc]simplify: iters left: 1 (74 enodes) 1540331916.408 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331916.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331916.409 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331916.410 * * [misc]simplify: iters left: 6 (18 enodes) 1540331916.418 * * [misc]simplify: iters left: 5 (27 enodes) 1540331916.429 * * [misc]simplify: iters left: 4 (34 enodes) 1540331916.443 * * [misc]simplify: iters left: 3 (40 enodes) 1540331916.456 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331916.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331916.456 * * * * [misc]progress: [ 104 / 266 ] simplifiying candidate # 1540331916.456 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331916.458 * * [misc]simplify: iters left: 6 (17 enodes) 1540331916.466 * * [misc]simplify: iters left: 5 (26 enodes) 1540331916.474 * * [misc]simplify: iters left: 4 (33 enodes) 1540331916.487 * * [misc]simplify: iters left: 3 (46 enodes) 1540331916.503 * * [misc]simplify: iters left: 2 (48 enodes) 1540331916.514 * * [misc]simplify: iters left: 1 (53 enodes) 1540331916.533 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540331916.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331916.534 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331916.535 * * [misc]simplify: iters left: 6 (18 enodes) 1540331916.544 * * [misc]simplify: iters left: 5 (27 enodes) 1540331916.553 * * [misc]simplify: iters left: 4 (34 enodes) 1540331916.564 * * [misc]simplify: iters left: 3 (40 enodes) 1540331916.578 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331916.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331916.578 * * * * [misc]progress: [ 105 / 266 ] simplifiying candidate # 1540331916.579 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1540331916.580 * * [misc]simplify: iters left: 6 (13 enodes) 1540331916.585 * * [misc]simplify: iters left: 5 (18 enodes) 1540331916.593 * * [misc]simplify: iters left: 4 (26 enodes) 1540331916.601 * * [misc]simplify: iters left: 3 (30 enodes) 1540331916.609 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540331916.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331916.609 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331916.614 * * [misc]simplify: iters left: 6 (17 enodes) 1540331916.625 * * [misc]simplify: iters left: 5 (26 enodes) 1540331916.636 * * [misc]simplify: iters left: 4 (33 enodes) 1540331916.656 * * [misc]simplify: iters left: 3 (39 enodes) 1540331916.671 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331916.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331916.671 * * * * [misc]progress: [ 106 / 266 ] simplifiying candidate # 1540331916.676 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1540331916.679 * * [misc]simplify: iters left: 6 (12 enodes) 1540331916.685 * * [misc]simplify: iters left: 5 (18 enodes) 1540331916.693 * * [misc]simplify: iters left: 4 (24 enodes) 1540331916.701 * * [misc]simplify: iters left: 3 (25 enodes) 1540331916.708 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540331916.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331916.709 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331916.715 * * [misc]simplify: iters left: 6 (17 enodes) 1540331916.724 * * [misc]simplify: iters left: 5 (26 enodes) 1540331916.736 * * [misc]simplify: iters left: 4 (33 enodes) 1540331916.748 * * [misc]simplify: iters left: 3 (39 enodes) 1540331916.761 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331916.761 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331916.761 * * * * [misc]progress: [ 107 / 266 ] simplifiying candidate # 1540331916.761 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1540331916.764 * * [misc]simplify: iters left: 6 (13 enodes) 1540331916.770 * * [misc]simplify: iters left: 5 (19 enodes) 1540331916.776 * * [misc]simplify: iters left: 4 (23 enodes) 1540331916.785 * * [misc]simplify: iters left: 3 (27 enodes) 1540331916.793 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331916.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331916.793 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540331916.795 * * [misc]simplify: iters left: 6 (16 enodes) 1540331916.802 * * [misc]simplify: iters left: 5 (25 enodes) 1540331916.811 * * [misc]simplify: iters left: 4 (32 enodes) 1540331916.827 * * [misc]simplify: iters left: 3 (45 enodes) 1540331916.840 * * [misc]simplify: iters left: 2 (47 enodes) 1540331916.851 * * [misc]simplify: iters left: 1 (52 enodes) 1540331916.867 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540331916.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1540331916.867 * * * * [misc]progress: [ 108 / 266 ] simplifiying candidate # 1540331916.867 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540331916.869 * * [misc]simplify: iters left: 6 (17 enodes) 1540331916.877 * * [misc]simplify: iters left: 5 (27 enodes) 1540331916.887 * * [misc]simplify: iters left: 4 (34 enodes) 1540331916.898 * * [misc]simplify: iters left: 3 (40 enodes) 1540331916.911 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1540331916.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))))) 1540331916.911 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1540331916.913 * * [misc]simplify: iters left: 6 (15 enodes) 1540331916.920 * * [misc]simplify: iters left: 5 (22 enodes) 1540331916.956 * * [misc]simplify: iters left: 4 (26 enodes) 1540331916.968 * * [misc]simplify: iters left: 3 (30 enodes) 1540331916.977 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540331916.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540331916.978 * * * * [misc]progress: [ 109 / 266 ] simplifiying candidate # 1540331916.978 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331916.980 * * [misc]simplify: iters left: 6 (14 enodes) 1540331916.986 * * [misc]simplify: iters left: 5 (21 enodes) 1540331916.994 * * [misc]simplify: iters left: 4 (24 enodes) 1540331917.006 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331917.007 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.008 * * [misc]simplify: iters left: 6 (17 enodes) 1540331917.017 * * [misc]simplify: iters left: 5 (26 enodes) 1540331917.027 * * [misc]simplify: iters left: 4 (33 enodes) 1540331917.040 * * [misc]simplify: iters left: 3 (45 enodes) 1540331917.058 * * [misc]simplify: iters left: 2 (70 enodes) 1540331917.089 * * [misc]simplify: iters left: 1 (91 enodes) 1540331917.128 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331917.128 * * * * [misc]progress: [ 110 / 266 ] simplifiying candidate # 1540331917.128 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.129 * * [misc]simplify: iters left: 6 (13 enodes) 1540331917.134 * * [misc]simplify: iters left: 5 (18 enodes) 1540331917.143 * * [misc]simplify: iters left: 4 (21 enodes) 1540331917.150 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331917.150 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.152 * * [misc]simplify: iters left: 6 (17 enodes) 1540331917.160 * * [misc]simplify: iters left: 5 (26 enodes) 1540331917.170 * * [misc]simplify: iters left: 4 (33 enodes) 1540331917.183 * * [misc]simplify: iters left: 3 (45 enodes) 1540331917.201 * * [misc]simplify: iters left: 2 (70 enodes) 1540331917.232 * * [misc]simplify: iters left: 1 (91 enodes) 1540331917.269 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331917.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331917.269 * * * * [misc]progress: [ 111 / 266 ] simplifiying candidate # 1540331917.269 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331917.270 * * [misc]simplify: iters left: 6 (12 enodes) 1540331917.276 * * [misc]simplify: iters left: 5 (20 enodes) 1540331917.286 * * [misc]simplify: iters left: 4 (27 enodes) 1540331917.297 * * [misc]simplify: iters left: 3 (37 enodes) 1540331917.316 * * [misc]simplify: iters left: 2 (64 enodes) 1540331917.343 * * [misc]simplify: iters left: 1 (93 enodes) 1540331917.393 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331917.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331917.394 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331917.396 * * [misc]simplify: iters left: 6 (18 enodes) 1540331917.405 * * [misc]simplify: iters left: 5 (30 enodes) 1540331917.416 * * [misc]simplify: iters left: 4 (41 enodes) 1540331917.438 * * [misc]simplify: iters left: 3 (76 enodes) 1540331917.476 * * [misc]simplify: iters left: 2 (142 enodes) 1540331917.619 * * [misc]simplify: iters left: 1 (391 enodes) 1540331918.235 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331918.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331918.235 * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # 1540331918.236 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331918.237 * * [misc]simplify: iters left: 6 (12 enodes) 1540331918.242 * * [misc]simplify: iters left: 5 (20 enodes) 1540331918.249 * * [misc]simplify: iters left: 4 (27 enodes) 1540331918.260 * * [misc]simplify: iters left: 3 (37 enodes) 1540331918.291 * * [misc]simplify: iters left: 2 (64 enodes) 1540331918.320 * * [misc]simplify: iters left: 1 (93 enodes) 1540331918.394 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331918.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331918.394 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331918.397 * * [misc]simplify: iters left: 6 (18 enodes) 1540331918.408 * * [misc]simplify: iters left: 5 (30 enodes) 1540331918.420 * * [misc]simplify: iters left: 4 (41 enodes) 1540331918.446 * * [misc]simplify: iters left: 3 (76 enodes) 1540331918.491 * * [misc]simplify: iters left: 2 (142 enodes) 1540331918.639 * * [misc]simplify: iters left: 1 (391 enodes) 1540331919.114 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331919.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331919.114 * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # 1540331919.114 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331919.116 * * [misc]simplify: iters left: 6 (13 enodes) 1540331919.123 * * [misc]simplify: iters left: 5 (21 enodes) 1540331919.132 * * [misc]simplify: iters left: 4 (31 enodes) 1540331919.145 * * [misc]simplify: iters left: 3 (51 enodes) 1540331919.175 * * [misc]simplify: iters left: 2 (90 enodes) 1540331919.219 * * [misc]simplify: iters left: 1 (181 enodes) 1540331919.347 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331919.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331919.347 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331919.349 * * [misc]simplify: iters left: 6 (15 enodes) 1540331919.356 * * [misc]simplify: iters left: 5 (25 enodes) 1540331919.366 * * [misc]simplify: iters left: 4 (38 enodes) 1540331919.385 * * [misc]simplify: iters left: 3 (73 enodes) 1540331919.423 * * [misc]simplify: iters left: 2 (139 enodes) 1540331919.565 * * [misc]simplify: iters left: 1 (375 enodes) 1540331920.046 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331920.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540331920.046 * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # 1540331920.046 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331920.048 * * [misc]simplify: iters left: 6 (16 enodes) 1540331920.056 * * [misc]simplify: iters left: 5 (29 enodes) 1540331920.070 * * [misc]simplify: iters left: 4 (50 enodes) 1540331920.091 * * [misc]simplify: iters left: 3 (70 enodes) 1540331920.134 * * [misc]simplify: iters left: 2 (169 enodes) 1540331920.363 * [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)))) 1540331920.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331920.364 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331920.366 * * [misc]simplify: iters left: 6 (18 enodes) 1540331920.375 * * [misc]simplify: iters left: 5 (29 enodes) 1540331920.387 * * [misc]simplify: iters left: 4 (42 enodes) 1540331920.408 * * [misc]simplify: iters left: 3 (77 enodes) 1540331920.454 * * [misc]simplify: iters left: 2 (143 enodes) 1540331920.595 * * [misc]simplify: iters left: 1 (394 enodes) 1540331920.916 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540331920.916 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331920.916 * * * * [misc]progress: [ 115 / 266 ] simplifiying candidate # 1540331920.916 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331920.918 * * [misc]simplify: iters left: 6 (15 enodes) 1540331920.924 * * [misc]simplify: iters left: 5 (24 enodes) 1540331920.933 * * [misc]simplify: iters left: 4 (34 enodes) 1540331920.944 * * [misc]simplify: iters left: 3 (54 enodes) 1540331920.960 * * [misc]simplify: iters left: 2 (93 enodes) 1540331920.984 * * [misc]simplify: iters left: 1 (182 enodes) 1540331921.051 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331921.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331921.051 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331921.052 * * [misc]simplify: iters left: 6 (18 enodes) 1540331921.057 * * [misc]simplify: iters left: 5 (29 enodes) 1540331921.063 * * [misc]simplify: iters left: 4 (42 enodes) 1540331921.073 * * [misc]simplify: iters left: 3 (77 enodes) 1540331921.095 * * [misc]simplify: iters left: 2 (143 enodes) 1540331921.222 * * [misc]simplify: iters left: 1 (394 enodes) 1540331921.609 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540331921.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331921.609 * * * * [misc]progress: [ 116 / 266 ] simplifiying candidate # 1540331921.609 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540331921.610 * * [misc]simplify: iters left: 6 (7 enodes) 1540331921.614 * * [misc]simplify: iters left: 5 (13 enodes) 1540331921.620 * * [misc]simplify: iters left: 4 (22 enodes) 1540331921.627 * * [misc]simplify: iters left: 3 (24 enodes) 1540331921.633 * * [misc]simplify: iters left: 2 (29 enodes) 1540331921.641 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540331921.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331921.641 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331921.643 * * [misc]simplify: iters left: 6 (17 enodes) 1540331921.651 * * [misc]simplify: iters left: 5 (28 enodes) 1540331921.662 * * [misc]simplify: iters left: 4 (41 enodes) 1540331921.682 * * [misc]simplify: iters left: 3 (76 enodes) 1540331921.703 * * [misc]simplify: iters left: 2 (142 enodes) 1540331921.787 * * [misc]simplify: iters left: 1 (380 enodes) 1540331922.158 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331922.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331922.158 * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # 1540331922.158 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331922.158 * * [misc]simplify: iters left: 6 (11 enodes) 1540331922.165 * * [misc]simplify: iters left: 5 (17 enodes) 1540331922.170 * * [misc]simplify: iters left: 4 (20 enodes) 1540331922.176 * * [misc]simplify: iters left: 3 (22 enodes) 1540331922.186 * * [misc]simplify: iters left: 2 (34 enodes) 1540331922.196 * * [misc]simplify: iters left: 1 (42 enodes) 1540331922.207 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331922.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331922.208 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331922.210 * * [misc]simplify: iters left: 6 (18 enodes) 1540331922.219 * * [misc]simplify: iters left: 5 (30 enodes) 1540331922.230 * * [misc]simplify: iters left: 4 (41 enodes) 1540331922.249 * * [misc]simplify: iters left: 3 (76 enodes) 1540331922.290 * * [misc]simplify: iters left: 2 (142 enodes) 1540331922.405 * * [misc]simplify: iters left: 1 (391 enodes) 1540331922.691 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331922.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331922.691 * * * * [misc]progress: [ 118 / 266 ] simplifiying candidate # 1540331922.692 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331922.692 * * [misc]simplify: iters left: 6 (11 enodes) 1540331922.695 * * [misc]simplify: iters left: 5 (17 enodes) 1540331922.697 * * [misc]simplify: iters left: 4 (20 enodes) 1540331922.701 * * [misc]simplify: iters left: 3 (22 enodes) 1540331922.706 * * [misc]simplify: iters left: 2 (34 enodes) 1540331922.715 * * [misc]simplify: iters left: 1 (42 enodes) 1540331922.721 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331922.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331922.721 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331922.722 * * [misc]simplify: iters left: 6 (18 enodes) 1540331922.727 * * [misc]simplify: iters left: 5 (30 enodes) 1540331922.734 * * [misc]simplify: iters left: 4 (41 enodes) 1540331922.753 * * [misc]simplify: iters left: 3 (76 enodes) 1540331922.773 * * [misc]simplify: iters left: 2 (142 enodes) 1540331922.890 * * [misc]simplify: iters left: 1 (391 enodes) 1540331923.261 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331923.261 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331923.261 * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # 1540331923.261 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331923.262 * * [misc]simplify: iters left: 6 (12 enodes) 1540331923.268 * * [misc]simplify: iters left: 5 (18 enodes) 1540331923.274 * * [misc]simplify: iters left: 4 (24 enodes) 1540331923.282 * * [misc]simplify: iters left: 3 (32 enodes) 1540331923.293 * * [misc]simplify: iters left: 2 (41 enodes) 1540331923.304 * * [misc]simplify: iters left: 1 (51 enodes) 1540331923.321 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331923.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331923.322 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331923.324 * * [misc]simplify: iters left: 6 (15 enodes) 1540331923.331 * * [misc]simplify: iters left: 5 (25 enodes) 1540331923.341 * * [misc]simplify: iters left: 4 (38 enodes) 1540331923.359 * * [misc]simplify: iters left: 3 (73 enodes) 1540331923.398 * * [misc]simplify: iters left: 2 (139 enodes) 1540331923.539 * * [misc]simplify: iters left: 1 (375 enodes) 1540331923.881 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331923.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540331923.882 * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # 1540331923.882 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331923.883 * * [misc]simplify: iters left: 6 (15 enodes) 1540331923.886 * * [misc]simplify: iters left: 5 (24 enodes) 1540331923.892 * * [misc]simplify: iters left: 4 (32 enodes) 1540331923.898 * * [misc]simplify: iters left: 3 (43 enodes) 1540331923.910 * * [misc]simplify: iters left: 2 (69 enodes) 1540331923.928 * * [misc]simplify: iters left: 1 (119 enodes) 1540331923.997 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331923.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331923.998 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331923.999 * * [misc]simplify: iters left: 6 (18 enodes) 1540331924.008 * * [misc]simplify: iters left: 5 (29 enodes) 1540331924.019 * * [misc]simplify: iters left: 4 (42 enodes) 1540331924.039 * * [misc]simplify: iters left: 3 (77 enodes) 1540331924.072 * * [misc]simplify: iters left: 2 (143 enodes) 1540331924.171 * * [misc]simplify: iters left: 1 (394 enodes) 1540331924.546 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540331924.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331924.546 * * * * [misc]progress: [ 121 / 266 ] simplifiying candidate # 1540331924.547 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331924.548 * * [misc]simplify: iters left: 6 (14 enodes) 1540331924.554 * * [misc]simplify: iters left: 5 (21 enodes) 1540331924.561 * * [misc]simplify: iters left: 4 (27 enodes) 1540331924.570 * * [misc]simplify: iters left: 3 (35 enodes) 1540331924.583 * * [misc]simplify: iters left: 2 (43 enodes) 1540331924.596 * * [misc]simplify: iters left: 1 (56 enodes) 1540331924.617 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331924.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331924.618 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331924.619 * * [misc]simplify: iters left: 6 (18 enodes) 1540331924.628 * * [misc]simplify: iters left: 5 (29 enodes) 1540331924.639 * * [misc]simplify: iters left: 4 (42 enodes) 1540331924.664 * * [misc]simplify: iters left: 3 (77 enodes) 1540331924.690 * * [misc]simplify: iters left: 2 (143 enodes) 1540331924.811 * * [misc]simplify: iters left: 1 (394 enodes) 1540331925.112 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540331925.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331925.112 * * * * [misc]progress: [ 122 / 266 ] simplifiying candidate # 1540331925.112 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540331925.113 * * [misc]simplify: iters left: 6 (6 enodes) 1540331925.115 * * [misc]simplify: iters left: 5 (10 enodes) 1540331925.120 * * [misc]simplify: iters left: 4 (16 enodes) 1540331925.124 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540331925.125 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331925.125 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331925.126 * * [misc]simplify: iters left: 6 (17 enodes) 1540331925.135 * * [misc]simplify: iters left: 5 (28 enodes) 1540331925.145 * * [misc]simplify: iters left: 4 (41 enodes) 1540331925.167 * * [misc]simplify: iters left: 3 (76 enodes) 1540331925.205 * * [misc]simplify: iters left: 2 (142 enodes) 1540331925.297 * * [misc]simplify: iters left: 1 (380 enodes) 1540331925.654 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331925.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331925.655 * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # 1540331925.655 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540331925.656 * * [misc]simplify: iters left: 6 (8 enodes) 1540331925.660 * * [misc]simplify: iters left: 5 (14 enodes) 1540331925.664 * * [misc]simplify: iters left: 4 (15 enodes) 1540331925.669 * * [misc]simplify: iters left: 3 (19 enodes) 1540331925.673 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540331925.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331925.674 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331925.675 * * [misc]simplify: iters left: 6 (17 enodes) 1540331925.684 * * [misc]simplify: iters left: 5 (29 enodes) 1540331925.694 * * [misc]simplify: iters left: 4 (40 enodes) 1540331925.713 * * [misc]simplify: iters left: 3 (75 enodes) 1540331925.754 * * [misc]simplify: iters left: 2 (141 enodes) 1540331925.891 * * [misc]simplify: iters left: 1 (379 enodes) 1540331926.290 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331926.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331926.291 * * * * [misc]progress: [ 124 / 266 ] simplifiying candidate # 1540331926.292 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540331926.292 * * [misc]simplify: iters left: 6 (8 enodes) 1540331926.298 * * [misc]simplify: iters left: 5 (14 enodes) 1540331926.301 * * [misc]simplify: iters left: 4 (15 enodes) 1540331926.307 * * [misc]simplify: iters left: 3 (19 enodes) 1540331926.312 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540331926.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331926.312 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331926.314 * * [misc]simplify: iters left: 6 (17 enodes) 1540331926.322 * * [misc]simplify: iters left: 5 (29 enodes) 1540331926.333 * * [misc]simplify: iters left: 4 (40 enodes) 1540331926.357 * * [misc]simplify: iters left: 3 (75 enodes) 1540331926.396 * * [misc]simplify: iters left: 2 (141 enodes) 1540331926.489 * * [misc]simplify: iters left: 1 (379 enodes) 1540331926.741 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331926.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331926.741 * * * * [misc]progress: [ 125 / 266 ] simplifiying candidate # 1540331926.742 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540331926.743 * * [misc]simplify: iters left: 6 (10 enodes) 1540331926.748 * * [misc]simplify: iters left: 5 (16 enodes) 1540331926.753 * * [misc]simplify: iters left: 4 (20 enodes) 1540331926.765 * * [misc]simplify: iters left: 3 (24 enodes) 1540331926.771 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540331926.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331926.772 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331926.773 * * [misc]simplify: iters left: 6 (14 enodes) 1540331926.781 * * [misc]simplify: iters left: 5 (24 enodes) 1540331926.791 * * [misc]simplify: iters left: 4 (37 enodes) 1540331926.810 * * [misc]simplify: iters left: 3 (72 enodes) 1540331926.848 * * [misc]simplify: iters left: 2 (138 enodes) 1540331926.975 * * [misc]simplify: iters left: 1 (391 enodes) 1540331927.332 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1540331927.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1540331927.332 * * * * [misc]progress: [ 126 / 266 ] simplifiying candidate # 1540331927.333 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331927.334 * * [misc]simplify: iters left: 6 (13 enodes) 1540331927.341 * * [misc]simplify: iters left: 5 (22 enodes) 1540331927.348 * * [misc]simplify: iters left: 4 (26 enodes) 1540331927.357 * * [misc]simplify: iters left: 3 (32 enodes) 1540331927.366 * * [misc]simplify: iters left: 2 (34 enodes) 1540331927.376 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331927.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331927.377 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331927.378 * * [misc]simplify: iters left: 6 (17 enodes) 1540331927.387 * * [misc]simplify: iters left: 5 (28 enodes) 1540331927.398 * * [misc]simplify: iters left: 4 (41 enodes) 1540331927.418 * * [misc]simplify: iters left: 3 (76 enodes) 1540331927.462 * * [misc]simplify: iters left: 2 (142 enodes) 1540331927.605 * * [misc]simplify: iters left: 1 (382 enodes) 1540331928.176 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540331928.177 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540331928.177 * * * * [misc]progress: [ 127 / 266 ] simplifiying candidate # 1540331928.177 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331928.178 * * [misc]simplify: iters left: 6 (12 enodes) 1540331928.184 * * [misc]simplify: iters left: 5 (19 enodes) 1540331928.191 * * [misc]simplify: iters left: 4 (23 enodes) 1540331928.198 * * [misc]simplify: iters left: 3 (27 enodes) 1540331928.206 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331928.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331928.207 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331928.208 * * [misc]simplify: iters left: 6 (17 enodes) 1540331928.219 * * [misc]simplify: iters left: 5 (28 enodes) 1540331928.230 * * [misc]simplify: iters left: 4 (41 enodes) 1540331928.250 * * [misc]simplify: iters left: 3 (76 enodes) 1540331928.289 * * [misc]simplify: iters left: 2 (142 enodes) 1540331928.427 * * [misc]simplify: iters left: 1 (382 enodes) 1540331928.907 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540331928.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540331928.907 * * * * [misc]progress: [ 128 / 266 ] simplifiying candidate # 1540331928.907 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540331928.908 * * [misc]simplify: iters left: 4 (3 enodes) 1540331928.909 * * [misc]simplify: iters left: 3 (5 enodes) 1540331928.910 * [exit]simplify: Simplified to 1 1540331928.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331928.910 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331928.912 * * [misc]simplify: iters left: 6 (16 enodes) 1540331928.920 * * [misc]simplify: iters left: 5 (27 enodes) 1540331928.931 * * [misc]simplify: iters left: 4 (40 enodes) 1540331928.951 * * [misc]simplify: iters left: 3 (75 enodes) 1540331928.989 * * [misc]simplify: iters left: 2 (141 enodes) 1540331929.076 * * [misc]simplify: iters left: 1 (376 enodes) 1540331929.516 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331929.517 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540331929.517 * * * * [misc]progress: [ 129 / 266 ] simplifiying candidate # 1540331929.517 * [enter]simplify: Simplifying (/ 1 1) 1540331929.517 * * [misc]simplify: iters left: 2 (2 enodes) 1540331929.518 * * [misc]simplify: iters left: 1 (4 enodes) 1540331929.519 * [exit]simplify: Simplified to 1 1540331929.519 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331929.519 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331929.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540331929.529 * * [misc]simplify: iters left: 5 (27 enodes) 1540331929.540 * * [misc]simplify: iters left: 4 (40 enodes) 1540331929.560 * * [misc]simplify: iters left: 3 (75 enodes) 1540331929.603 * * [misc]simplify: iters left: 2 (141 enodes) 1540331929.740 * * [misc]simplify: iters left: 1 (376 enodes) 1540331930.593 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331930.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540331930.593 * * * * [misc]progress: [ 130 / 266 ] simplifiying candidate # 1540331930.593 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540331930.594 * * [misc]simplify: iters left: 3 (4 enodes) 1540331930.595 * * [misc]simplify: iters left: 2 (6 enodes) 1540331930.597 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540331930.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331930.598 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540331930.599 * * [misc]simplify: iters left: 6 (15 enodes) 1540331930.608 * * [misc]simplify: iters left: 5 (26 enodes) 1540331930.618 * * [misc]simplify: iters left: 4 (35 enodes) 1540331930.637 * * [misc]simplify: iters left: 3 (61 enodes) 1540331930.652 * * [misc]simplify: iters left: 2 (82 enodes) 1540331930.666 * * [misc]simplify: iters left: 1 (85 enodes) 1540331930.677 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540331930.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540331930.677 * * * * [misc]progress: [ 131 / 266 ] simplifiying candidate # 1540331930.677 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540331930.678 * * [misc]simplify: iters left: 6 (10 enodes) 1540331930.680 * * [misc]simplify: iters left: 5 (16 enodes) 1540331930.683 * * [misc]simplify: iters left: 4 (19 enodes) 1540331930.686 * * [misc]simplify: iters left: 3 (21 enodes) 1540331930.691 * * [misc]simplify: iters left: 2 (33 enodes) 1540331930.701 * * [misc]simplify: iters left: 1 (41 enodes) 1540331930.714 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540331930.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1540331930.714 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1540331930.718 * * [misc]simplify: iters left: 6 (14 enodes) 1540331930.725 * * [misc]simplify: iters left: 5 (23 enodes) 1540331930.734 * * [misc]simplify: iters left: 4 (30 enodes) 1540331930.746 * * [misc]simplify: iters left: 3 (42 enodes) 1540331930.762 * * [misc]simplify: iters left: 2 (67 enodes) 1540331930.792 * * [misc]simplify: iters left: 1 (88 enodes) 1540331930.827 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540331930.827 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540331930.827 * * * * [misc]progress: [ 132 / 266 ] simplifiying candidate # 1540331930.827 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331930.828 * * [misc]simplify: iters left: 6 (14 enodes) 1540331930.834 * * [misc]simplify: iters left: 5 (21 enodes) 1540331930.842 * * [misc]simplify: iters left: 4 (24 enodes) 1540331930.852 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331930.852 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.854 * * [misc]simplify: iters left: 6 (17 enodes) 1540331930.865 * * [misc]simplify: iters left: 5 (26 enodes) 1540331930.875 * * [misc]simplify: iters left: 4 (33 enodes) 1540331930.888 * * [misc]simplify: iters left: 3 (45 enodes) 1540331930.907 * * [misc]simplify: iters left: 2 (70 enodes) 1540331930.938 * * [misc]simplify: iters left: 1 (91 enodes) 1540331930.976 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331930.976 * * * * [misc]progress: [ 133 / 266 ] simplifiying candidate # 1540331930.977 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.978 * * [misc]simplify: iters left: 6 (13 enodes) 1540331930.983 * * [misc]simplify: iters left: 5 (18 enodes) 1540331930.989 * * [misc]simplify: iters left: 4 (21 enodes) 1540331930.997 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331930.997 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331930.999 * * [misc]simplify: iters left: 6 (17 enodes) 1540331931.009 * * [misc]simplify: iters left: 5 (26 enodes) 1540331931.018 * * [misc]simplify: iters left: 4 (33 enodes) 1540331931.027 * * [misc]simplify: iters left: 3 (45 enodes) 1540331931.037 * * [misc]simplify: iters left: 2 (70 enodes) 1540331931.053 * * [misc]simplify: iters left: 1 (91 enodes) 1540331931.085 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331931.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331931.085 * * * * [misc]progress: [ 134 / 266 ] simplifiying candidate # 1540331931.086 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331931.087 * * [misc]simplify: iters left: 6 (12 enodes) 1540331931.092 * * [misc]simplify: iters left: 5 (20 enodes) 1540331931.099 * * [misc]simplify: iters left: 4 (27 enodes) 1540331931.109 * * [misc]simplify: iters left: 3 (37 enodes) 1540331931.131 * * [misc]simplify: iters left: 2 (64 enodes) 1540331931.158 * * [misc]simplify: iters left: 1 (93 enodes) 1540331931.209 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331931.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331931.209 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331931.211 * * [misc]simplify: iters left: 6 (18 enodes) 1540331931.220 * * [misc]simplify: iters left: 5 (30 enodes) 1540331931.231 * * [misc]simplify: iters left: 4 (41 enodes) 1540331931.251 * * [misc]simplify: iters left: 3 (76 enodes) 1540331931.293 * * [misc]simplify: iters left: 2 (142 enodes) 1540331931.441 * * [misc]simplify: iters left: 1 (391 enodes) 1540331931.835 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331931.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331931.835 * * * * [misc]progress: [ 135 / 266 ] simplifiying candidate # 1540331931.835 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331931.836 * * [misc]simplify: iters left: 6 (12 enodes) 1540331931.842 * * [misc]simplify: iters left: 5 (20 enodes) 1540331931.849 * * [misc]simplify: iters left: 4 (27 enodes) 1540331931.858 * * [misc]simplify: iters left: 3 (37 enodes) 1540331931.876 * * [misc]simplify: iters left: 2 (64 enodes) 1540331931.903 * * [misc]simplify: iters left: 1 (93 enodes) 1540331931.955 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331931.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331931.955 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331931.957 * * [misc]simplify: iters left: 6 (18 enodes) 1540331931.966 * * [misc]simplify: iters left: 5 (30 enodes) 1540331931.975 * * [misc]simplify: iters left: 4 (41 enodes) 1540331931.986 * * [misc]simplify: iters left: 3 (76 enodes) 1540331932.013 * * [misc]simplify: iters left: 2 (142 enodes) 1540331932.162 * * [misc]simplify: iters left: 1 (391 enodes) 1540331932.584 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331932.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331932.584 * * * * [misc]progress: [ 136 / 266 ] simplifiying candidate # 1540331932.584 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331932.586 * * [misc]simplify: iters left: 6 (13 enodes) 1540331932.592 * * [misc]simplify: iters left: 5 (21 enodes) 1540331932.601 * * [misc]simplify: iters left: 4 (31 enodes) 1540331932.614 * * [misc]simplify: iters left: 3 (51 enodes) 1540331932.643 * * [misc]simplify: iters left: 2 (90 enodes) 1540331932.686 * * [misc]simplify: iters left: 1 (181 enodes) 1540331932.790 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331932.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331932.790 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331932.792 * * [misc]simplify: iters left: 6 (15 enodes) 1540331932.801 * * [misc]simplify: iters left: 5 (25 enodes) 1540331932.810 * * [misc]simplify: iters left: 4 (38 enodes) 1540331932.830 * * [misc]simplify: iters left: 3 (73 enodes) 1540331932.869 * * [misc]simplify: iters left: 2 (139 enodes) 1540331933.008 * * [misc]simplify: iters left: 1 (375 enodes) 1540331933.402 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331933.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540331933.403 * * * * [misc]progress: [ 137 / 266 ] simplifiying candidate # 1540331933.403 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331933.405 * * [misc]simplify: iters left: 6 (16 enodes) 1540331933.412 * * [misc]simplify: iters left: 5 (29 enodes) 1540331933.425 * * [misc]simplify: iters left: 4 (50 enodes) 1540331933.445 * * [misc]simplify: iters left: 3 (70 enodes) 1540331933.477 * * [misc]simplify: iters left: 2 (169 enodes) 1540331933.624 * [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)))) 1540331933.624 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331933.624 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331933.625 * * [misc]simplify: iters left: 6 (18 enodes) 1540331933.631 * * [misc]simplify: iters left: 5 (29 enodes) 1540331933.637 * * [misc]simplify: iters left: 4 (42 enodes) 1540331933.648 * * [misc]simplify: iters left: 3 (77 enodes) 1540331933.682 * * [misc]simplify: iters left: 2 (143 enodes) 1540331933.805 * * [misc]simplify: iters left: 1 (394 enodes) 1540331934.226 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540331934.226 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331934.226 * * * * [misc]progress: [ 138 / 266 ] simplifiying candidate # 1540331934.227 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331934.229 * * [misc]simplify: iters left: 6 (15 enodes) 1540331934.235 * * [misc]simplify: iters left: 5 (24 enodes) 1540331934.246 * * [misc]simplify: iters left: 4 (34 enodes) 1540331934.261 * * [misc]simplify: iters left: 3 (54 enodes) 1540331934.288 * * [misc]simplify: iters left: 2 (93 enodes) 1540331934.333 * * [misc]simplify: iters left: 1 (182 enodes) 1540331934.460 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331934.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331934.461 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331934.463 * * [misc]simplify: iters left: 6 (18 enodes) 1540331934.473 * * [misc]simplify: iters left: 5 (29 enodes) 1540331934.485 * * [misc]simplify: iters left: 4 (42 enodes) 1540331934.506 * * [misc]simplify: iters left: 3 (77 enodes) 1540331934.546 * * [misc]simplify: iters left: 2 (143 enodes) 1540331934.677 * * [misc]simplify: iters left: 1 (394 enodes) 1540331934.896 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540331934.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331934.896 * * * * [misc]progress: [ 139 / 266 ] simplifiying candidate # 1540331934.897 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540331934.897 * * [misc]simplify: iters left: 6 (7 enodes) 1540331934.899 * * [misc]simplify: iters left: 5 (13 enodes) 1540331934.904 * * [misc]simplify: iters left: 4 (22 enodes) 1540331934.907 * * [misc]simplify: iters left: 3 (24 enodes) 1540331934.910 * * [misc]simplify: iters left: 2 (29 enodes) 1540331934.914 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540331934.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331934.914 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331934.915 * * [misc]simplify: iters left: 6 (17 enodes) 1540331934.920 * * [misc]simplify: iters left: 5 (28 enodes) 1540331934.926 * * [misc]simplify: iters left: 4 (41 enodes) 1540331934.948 * * [misc]simplify: iters left: 3 (76 enodes) 1540331934.989 * * [misc]simplify: iters left: 2 (142 enodes) 1540331935.076 * * [misc]simplify: iters left: 1 (380 enodes) 1540331935.498 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331935.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331935.498 * * * * [misc]progress: [ 140 / 266 ] simplifiying candidate # 1540331935.499 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331935.499 * * [misc]simplify: iters left: 6 (11 enodes) 1540331935.504 * * [misc]simplify: iters left: 5 (17 enodes) 1540331935.512 * * [misc]simplify: iters left: 4 (20 enodes) 1540331935.518 * * [misc]simplify: iters left: 3 (22 enodes) 1540331935.527 * * [misc]simplify: iters left: 2 (34 enodes) 1540331935.538 * * [misc]simplify: iters left: 1 (42 enodes) 1540331935.549 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331935.549 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331935.550 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331935.551 * * [misc]simplify: iters left: 6 (18 enodes) 1540331935.561 * * [misc]simplify: iters left: 5 (30 enodes) 1540331935.572 * * [misc]simplify: iters left: 4 (41 enodes) 1540331935.591 * * [misc]simplify: iters left: 3 (76 enodes) 1540331935.632 * * [misc]simplify: iters left: 2 (142 enodes) 1540331935.780 * * [misc]simplify: iters left: 1 (391 enodes) 1540331936.160 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331936.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331936.160 * * * * [misc]progress: [ 141 / 266 ] simplifiying candidate # 1540331936.160 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331936.161 * * [misc]simplify: iters left: 6 (11 enodes) 1540331936.166 * * [misc]simplify: iters left: 5 (17 enodes) 1540331936.171 * * [misc]simplify: iters left: 4 (20 enodes) 1540331936.177 * * [misc]simplify: iters left: 3 (22 enodes) 1540331936.185 * * [misc]simplify: iters left: 2 (34 enodes) 1540331936.197 * * [misc]simplify: iters left: 1 (42 enodes) 1540331936.207 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331936.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331936.207 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331936.209 * * [misc]simplify: iters left: 6 (18 enodes) 1540331936.217 * * [misc]simplify: iters left: 5 (30 enodes) 1540331936.226 * * [misc]simplify: iters left: 4 (41 enodes) 1540331936.243 * * [misc]simplify: iters left: 3 (76 enodes) 1540331936.276 * * [misc]simplify: iters left: 2 (142 enodes) 1540331936.420 * * [misc]simplify: iters left: 1 (391 enodes) 1540331936.901 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331936.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331936.901 * * * * [misc]progress: [ 142 / 266 ] simplifiying candidate # 1540331936.902 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331936.903 * * [misc]simplify: iters left: 6 (12 enodes) 1540331936.909 * * [misc]simplify: iters left: 5 (18 enodes) 1540331936.917 * * [misc]simplify: iters left: 4 (24 enodes) 1540331936.926 * * [misc]simplify: iters left: 3 (32 enodes) 1540331936.938 * * [misc]simplify: iters left: 2 (41 enodes) 1540331936.951 * * [misc]simplify: iters left: 1 (51 enodes) 1540331936.967 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331936.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331936.968 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331936.969 * * [misc]simplify: iters left: 6 (15 enodes) 1540331936.976 * * [misc]simplify: iters left: 5 (25 enodes) 1540331936.984 * * [misc]simplify: iters left: 4 (38 enodes) 1540331937.004 * * [misc]simplify: iters left: 3 (73 enodes) 1540331937.041 * * [misc]simplify: iters left: 2 (139 enodes) 1540331937.183 * * [misc]simplify: iters left: 1 (375 enodes) 1540331937.596 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331937.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540331937.596 * * * * [misc]progress: [ 143 / 266 ] simplifiying candidate # 1540331937.596 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331937.598 * * [misc]simplify: iters left: 6 (15 enodes) 1540331937.604 * * [misc]simplify: iters left: 5 (24 enodes) 1540331937.613 * * [misc]simplify: iters left: 4 (32 enodes) 1540331937.625 * * [misc]simplify: iters left: 3 (43 enodes) 1540331937.643 * * [misc]simplify: iters left: 2 (69 enodes) 1540331937.671 * * [misc]simplify: iters left: 1 (119 enodes) 1540331937.733 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331937.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331937.733 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331937.734 * * [misc]simplify: iters left: 6 (18 enodes) 1540331937.739 * * [misc]simplify: iters left: 5 (29 enodes) 1540331937.744 * * [misc]simplify: iters left: 4 (42 enodes) 1540331937.755 * * [misc]simplify: iters left: 3 (77 enodes) 1540331937.776 * * [misc]simplify: iters left: 2 (143 enodes) 1540331937.852 * * [misc]simplify: iters left: 1 (394 enodes) 1540331938.149 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540331938.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331938.149 * * * * [misc]progress: [ 144 / 266 ] simplifiying candidate # 1540331938.150 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331938.151 * * [misc]simplify: iters left: 6 (14 enodes) 1540331938.157 * * [misc]simplify: iters left: 5 (21 enodes) 1540331938.164 * * [misc]simplify: iters left: 4 (27 enodes) 1540331938.173 * * [misc]simplify: iters left: 3 (35 enodes) 1540331938.186 * * [misc]simplify: iters left: 2 (43 enodes) 1540331938.199 * * [misc]simplify: iters left: 1 (56 enodes) 1540331938.220 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331938.221 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331938.221 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331938.223 * * [misc]simplify: iters left: 6 (18 enodes) 1540331938.231 * * [misc]simplify: iters left: 5 (29 enodes) 1540331938.242 * * [misc]simplify: iters left: 4 (42 enodes) 1540331938.266 * * [misc]simplify: iters left: 3 (77 enodes) 1540331938.305 * * [misc]simplify: iters left: 2 (143 enodes) 1540331938.417 * * [misc]simplify: iters left: 1 (394 enodes) 1540331938.764 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540331938.764 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331938.764 * * * * [misc]progress: [ 145 / 266 ] simplifiying candidate # 1540331938.764 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540331938.765 * * [misc]simplify: iters left: 6 (6 enodes) 1540331938.766 * * [misc]simplify: iters left: 5 (10 enodes) 1540331938.769 * * [misc]simplify: iters left: 4 (16 enodes) 1540331938.772 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540331938.772 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331938.772 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331938.773 * * [misc]simplify: iters left: 6 (17 enodes) 1540331938.777 * * [misc]simplify: iters left: 5 (28 enodes) 1540331938.783 * * [misc]simplify: iters left: 4 (41 enodes) 1540331938.796 * * [misc]simplify: iters left: 3 (76 enodes) 1540331938.817 * * [misc]simplify: iters left: 2 (142 enodes) 1540331938.925 * * [misc]simplify: iters left: 1 (380 enodes) 1540331939.235 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1540331939.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) 1540331939.235 * * * * [misc]progress: [ 146 / 266 ] simplifiying candidate # 1540331939.235 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540331939.236 * * [misc]simplify: iters left: 6 (8 enodes) 1540331939.239 * * [misc]simplify: iters left: 5 (14 enodes) 1540331939.241 * * [misc]simplify: iters left: 4 (15 enodes) 1540331939.244 * * [misc]simplify: iters left: 3 (19 enodes) 1540331939.249 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540331939.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331939.249 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331939.251 * * [misc]simplify: iters left: 6 (17 enodes) 1540331939.260 * * [misc]simplify: iters left: 5 (29 enodes) 1540331939.271 * * [misc]simplify: iters left: 4 (40 enodes) 1540331939.287 * * [misc]simplify: iters left: 3 (75 enodes) 1540331939.311 * * [misc]simplify: iters left: 2 (141 enodes) 1540331939.405 * * [misc]simplify: iters left: 1 (379 enodes) 1540331939.810 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331939.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331939.810 * * * * [misc]progress: [ 147 / 266 ] simplifiying candidate # 1540331939.811 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540331939.811 * * [misc]simplify: iters left: 6 (8 enodes) 1540331939.814 * * [misc]simplify: iters left: 5 (14 enodes) 1540331939.816 * * [misc]simplify: iters left: 4 (15 enodes) 1540331939.819 * * [misc]simplify: iters left: 3 (19 enodes) 1540331939.822 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540331939.822 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331939.822 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331939.823 * * [misc]simplify: iters left: 6 (17 enodes) 1540331939.828 * * [misc]simplify: iters left: 5 (29 enodes) 1540331939.833 * * [misc]simplify: iters left: 4 (40 enodes) 1540331939.846 * * [misc]simplify: iters left: 3 (75 enodes) 1540331939.879 * * [misc]simplify: iters left: 2 (141 enodes) 1540331940.023 * * [misc]simplify: iters left: 1 (379 enodes) 1540331940.452 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331940.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331940.453 * * * * [misc]progress: [ 148 / 266 ] simplifiying candidate # 1540331940.453 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540331940.454 * * [misc]simplify: iters left: 6 (10 enodes) 1540331940.459 * * [misc]simplify: iters left: 5 (16 enodes) 1540331940.465 * * [misc]simplify: iters left: 4 (20 enodes) 1540331940.475 * * [misc]simplify: iters left: 3 (24 enodes) 1540331940.482 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540331940.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331940.482 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331940.484 * * [misc]simplify: iters left: 6 (14 enodes) 1540331940.491 * * [misc]simplify: iters left: 5 (24 enodes) 1540331940.501 * * [misc]simplify: iters left: 4 (37 enodes) 1540331940.516 * * [misc]simplify: iters left: 3 (72 enodes) 1540331940.536 * * [misc]simplify: iters left: 2 (138 enodes) 1540331940.672 * * [misc]simplify: iters left: 1 (391 enodes) 1540331941.030 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1540331941.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1540331941.030 * * * * [misc]progress: [ 149 / 266 ] simplifiying candidate # 1540331941.031 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331941.032 * * [misc]simplify: iters left: 6 (13 enodes) 1540331941.039 * * [misc]simplify: iters left: 5 (22 enodes) 1540331941.046 * * [misc]simplify: iters left: 4 (26 enodes) 1540331941.055 * * [misc]simplify: iters left: 3 (32 enodes) 1540331941.064 * * [misc]simplify: iters left: 2 (34 enodes) 1540331941.074 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331941.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331941.074 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331941.076 * * [misc]simplify: iters left: 6 (17 enodes) 1540331941.085 * * [misc]simplify: iters left: 5 (28 enodes) 1540331941.096 * * [misc]simplify: iters left: 4 (41 enodes) 1540331941.118 * * [misc]simplify: iters left: 3 (76 enodes) 1540331941.158 * * [misc]simplify: iters left: 2 (142 enodes) 1540331941.295 * * [misc]simplify: iters left: 1 (382 enodes) 1540331941.850 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540331941.850 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540331941.850 * * * * [misc]progress: [ 150 / 266 ] simplifiying candidate # 1540331941.850 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331941.851 * * [misc]simplify: iters left: 6 (12 enodes) 1540331941.858 * * [misc]simplify: iters left: 5 (19 enodes) 1540331941.864 * * [misc]simplify: iters left: 4 (23 enodes) 1540331941.872 * * [misc]simplify: iters left: 3 (27 enodes) 1540331941.880 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331941.880 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331941.880 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331941.882 * * [misc]simplify: iters left: 6 (17 enodes) 1540331941.894 * * [misc]simplify: iters left: 5 (28 enodes) 1540331941.906 * * [misc]simplify: iters left: 4 (41 enodes) 1540331941.926 * * [misc]simplify: iters left: 3 (76 enodes) 1540331941.966 * * [misc]simplify: iters left: 2 (142 enodes) 1540331942.077 * * [misc]simplify: iters left: 1 (382 enodes) 1540331942.408 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1540331942.408 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))) 1540331942.408 * * * * [misc]progress: [ 151 / 266 ] simplifiying candidate # 1540331942.408 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540331942.409 * * [misc]simplify: iters left: 4 (3 enodes) 1540331942.410 * * [misc]simplify: iters left: 3 (5 enodes) 1540331942.410 * [exit]simplify: Simplified to 1 1540331942.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331942.410 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331942.412 * * [misc]simplify: iters left: 6 (16 enodes) 1540331942.417 * * [misc]simplify: iters left: 5 (27 enodes) 1540331942.424 * * [misc]simplify: iters left: 4 (40 enodes) 1540331942.435 * * [misc]simplify: iters left: 3 (75 enodes) 1540331942.459 * * [misc]simplify: iters left: 2 (141 enodes) 1540331942.556 * * [misc]simplify: iters left: 1 (376 enodes) 1540331942.833 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331942.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540331942.833 * * * * [misc]progress: [ 152 / 266 ] simplifiying candidate # 1540331942.834 * [enter]simplify: Simplifying (/ 1 1) 1540331942.834 * * [misc]simplify: iters left: 2 (2 enodes) 1540331942.835 * * [misc]simplify: iters left: 1 (4 enodes) 1540331942.836 * [exit]simplify: Simplified to 1 1540331942.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331942.836 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331942.838 * * [misc]simplify: iters left: 6 (16 enodes) 1540331942.846 * * [misc]simplify: iters left: 5 (27 enodes) 1540331942.862 * * [misc]simplify: iters left: 4 (40 enodes) 1540331942.910 * * [misc]simplify: iters left: 3 (75 enodes) 1540331943.173 * * [misc]simplify: iters left: 2 (141 enodes) 1540331943.297 * * [misc]simplify: iters left: 1 (376 enodes) 1540331943.917 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1540331943.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540331943.917 * * * * [misc]progress: [ 153 / 266 ] simplifiying candidate # 1540331943.917 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540331943.918 * * [misc]simplify: iters left: 3 (4 enodes) 1540331943.919 * * [misc]simplify: iters left: 2 (6 enodes) 1540331943.920 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540331943.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331943.920 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540331943.921 * * [misc]simplify: iters left: 6 (15 enodes) 1540331943.925 * * [misc]simplify: iters left: 5 (26 enodes) 1540331943.930 * * [misc]simplify: iters left: 4 (35 enodes) 1540331943.941 * * [misc]simplify: iters left: 3 (61 enodes) 1540331943.957 * * [misc]simplify: iters left: 2 (82 enodes) 1540331943.971 * * [misc]simplify: iters left: 1 (85 enodes) 1540331943.982 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540331943.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540331943.982 * * * * [misc]progress: [ 154 / 266 ] simplifiying candidate # 1540331943.982 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540331943.983 * * [misc]simplify: iters left: 6 (10 enodes) 1540331943.985 * * [misc]simplify: iters left: 5 (16 enodes) 1540331943.988 * * [misc]simplify: iters left: 4 (19 enodes) 1540331943.991 * * [misc]simplify: iters left: 3 (21 enodes) 1540331943.996 * * [misc]simplify: iters left: 2 (33 enodes) 1540331944.002 * * [misc]simplify: iters left: 1 (41 enodes) 1540331944.008 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540331944.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1540331944.009 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1540331944.011 * * [misc]simplify: iters left: 6 (14 enodes) 1540331944.015 * * [misc]simplify: iters left: 5 (23 enodes) 1540331944.019 * * [misc]simplify: iters left: 4 (30 enodes) 1540331944.025 * * [misc]simplify: iters left: 3 (42 enodes) 1540331944.034 * * [misc]simplify: iters left: 2 (67 enodes) 1540331944.059 * * [misc]simplify: iters left: 1 (88 enodes) 1540331944.092 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540331944.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540331944.092 * * * * [misc]progress: [ 155 / 266 ] simplifiying candidate # 1540331944.093 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331944.094 * * [misc]simplify: iters left: 6 (15 enodes) 1540331944.101 * * [misc]simplify: iters left: 5 (22 enodes) 1540331944.108 * * [misc]simplify: iters left: 4 (25 enodes) 1540331944.117 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331944.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331944.118 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.119 * * [misc]simplify: iters left: 6 (14 enodes) 1540331944.125 * * [misc]simplify: iters left: 5 (17 enodes) 1540331944.128 * * [misc]simplify: iters left: 4 (20 enodes) 1540331944.132 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331944.132 * * * * [misc]progress: [ 156 / 266 ] simplifiying candidate # 1540331944.133 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.133 * * [misc]simplify: iters left: 6 (14 enodes) 1540331944.136 * * [misc]simplify: iters left: 5 (19 enodes) 1540331944.139 * * [misc]simplify: iters left: 4 (22 enodes) 1540331944.143 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331944.143 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.144 * * [misc]simplify: iters left: 6 (14 enodes) 1540331944.147 * * [misc]simplify: iters left: 5 (17 enodes) 1540331944.150 * * [misc]simplify: iters left: 4 (20 enodes) 1540331944.157 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331944.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331944.157 * * * * [misc]progress: [ 157 / 266 ] simplifiying candidate # 1540331944.157 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331944.158 * * [misc]simplify: iters left: 6 (13 enodes) 1540331944.164 * * [misc]simplify: iters left: 5 (21 enodes) 1540331944.171 * * [misc]simplify: iters left: 4 (28 enodes) 1540331944.181 * * [misc]simplify: iters left: 3 (36 enodes) 1540331944.199 * * [misc]simplify: iters left: 2 (62 enodes) 1540331944.225 * * [misc]simplify: iters left: 1 (94 enodes) 1540331944.282 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540331944.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331944.283 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331944.284 * * [misc]simplify: iters left: 6 (15 enodes) 1540331944.291 * * [misc]simplify: iters left: 5 (21 enodes) 1540331944.299 * * [misc]simplify: iters left: 4 (25 enodes) 1540331944.307 * * [misc]simplify: iters left: 3 (27 enodes) 1540331944.318 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331944.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331944.318 * * * * [misc]progress: [ 158 / 266 ] simplifiying candidate # 1540331944.319 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540331944.320 * * [misc]simplify: iters left: 6 (13 enodes) 1540331944.327 * * [misc]simplify: iters left: 5 (21 enodes) 1540331944.334 * * [misc]simplify: iters left: 4 (28 enodes) 1540331944.344 * * [misc]simplify: iters left: 3 (36 enodes) 1540331944.361 * * [misc]simplify: iters left: 2 (62 enodes) 1540331944.391 * * [misc]simplify: iters left: 1 (94 enodes) 1540331944.444 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540331944.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331944.444 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331944.446 * * [misc]simplify: iters left: 6 (15 enodes) 1540331944.453 * * [misc]simplify: iters left: 5 (21 enodes) 1540331944.460 * * [misc]simplify: iters left: 4 (25 enodes) 1540331944.466 * * [misc]simplify: iters left: 3 (27 enodes) 1540331944.472 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331944.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331944.472 * * * * [misc]progress: [ 159 / 266 ] simplifiying candidate # 1540331944.472 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540331944.474 * * [misc]simplify: iters left: 6 (14 enodes) 1540331944.477 * * [misc]simplify: iters left: 5 (22 enodes) 1540331944.482 * * [misc]simplify: iters left: 4 (32 enodes) 1540331944.489 * * [misc]simplify: iters left: 3 (55 enodes) 1540331944.506 * * [misc]simplify: iters left: 2 (97 enodes) 1540331944.551 * * [misc]simplify: iters left: 1 (209 enodes) 1540331944.672 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331944.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331944.672 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331944.673 * * [misc]simplify: iters left: 6 (12 enodes) 1540331944.676 * * [misc]simplify: iters left: 5 (16 enodes) 1540331944.679 * * [misc]simplify: iters left: 4 (22 enodes) 1540331944.683 * * [misc]simplify: iters left: 3 (24 enodes) 1540331944.688 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540331944.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331944.688 * * * * [misc]progress: [ 160 / 266 ] simplifiying candidate # 1540331944.688 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331944.689 * * [misc]simplify: iters left: 6 (17 enodes) 1540331944.693 * * [misc]simplify: iters left: 5 (30 enodes) 1540331944.702 * * [misc]simplify: iters left: 4 (51 enodes) 1540331944.712 * * [misc]simplify: iters left: 3 (67 enodes) 1540331944.733 * * [misc]simplify: iters left: 2 (156 enodes) 1540331944.863 * * [misc]simplify: iters left: 1 (456 enodes) 1540331945.603 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540331945.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331945.603 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331945.605 * * [misc]simplify: iters left: 6 (15 enodes) 1540331945.611 * * [misc]simplify: iters left: 5 (20 enodes) 1540331945.619 * * [misc]simplify: iters left: 4 (26 enodes) 1540331945.627 * * [misc]simplify: iters left: 3 (28 enodes) 1540331945.638 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331945.638 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331945.638 * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # 1540331945.638 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331945.640 * * [misc]simplify: iters left: 6 (16 enodes) 1540331945.646 * * [misc]simplify: iters left: 5 (25 enodes) 1540331945.655 * * [misc]simplify: iters left: 4 (35 enodes) 1540331945.670 * * [misc]simplify: iters left: 3 (58 enodes) 1540331945.696 * * [misc]simplify: iters left: 2 (99 enodes) 1540331945.745 * * [misc]simplify: iters left: 1 (192 enodes) 1540331945.866 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540331945.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331945.866 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331945.868 * * [misc]simplify: iters left: 6 (15 enodes) 1540331945.874 * * [misc]simplify: iters left: 5 (20 enodes) 1540331945.881 * * [misc]simplify: iters left: 4 (26 enodes) 1540331945.889 * * [misc]simplify: iters left: 3 (28 enodes) 1540331945.899 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331945.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331945.899 * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # 1540331945.900 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540331945.900 * * [misc]simplify: iters left: 6 (8 enodes) 1540331945.904 * * [misc]simplify: iters left: 5 (14 enodes) 1540331945.911 * * [misc]simplify: iters left: 4 (25 enodes) 1540331945.917 * * [misc]simplify: iters left: 3 (29 enodes) 1540331945.927 * * [misc]simplify: iters left: 2 (45 enodes) 1540331945.942 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540331945.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331945.942 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331945.944 * * [misc]simplify: iters left: 6 (14 enodes) 1540331945.949 * * [misc]simplify: iters left: 5 (19 enodes) 1540331945.956 * * [misc]simplify: iters left: 4 (25 enodes) 1540331945.966 * * [misc]simplify: iters left: 3 (27 enodes) 1540331945.977 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331945.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331945.977 * * * * [misc]progress: [ 163 / 266 ] simplifiying candidate # 1540331945.977 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331945.979 * * [misc]simplify: iters left: 6 (12 enodes) 1540331945.983 * * [misc]simplify: iters left: 5 (18 enodes) 1540331945.989 * * [misc]simplify: iters left: 4 (21 enodes) 1540331945.995 * * [misc]simplify: iters left: 3 (23 enodes) 1540331946.004 * * [misc]simplify: iters left: 2 (35 enodes) 1540331946.013 * * [misc]simplify: iters left: 1 (43 enodes) 1540331946.024 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331946.025 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331946.025 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331946.026 * * [misc]simplify: iters left: 6 (15 enodes) 1540331946.032 * * [misc]simplify: iters left: 5 (21 enodes) 1540331946.038 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.046 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.056 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331946.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331946.056 * * * * [misc]progress: [ 164 / 266 ] simplifiying candidate # 1540331946.056 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540331946.057 * * [misc]simplify: iters left: 6 (12 enodes) 1540331946.062 * * [misc]simplify: iters left: 5 (18 enodes) 1540331946.067 * * [misc]simplify: iters left: 4 (21 enodes) 1540331946.073 * * [misc]simplify: iters left: 3 (23 enodes) 1540331946.082 * * [misc]simplify: iters left: 2 (35 enodes) 1540331946.092 * * [misc]simplify: iters left: 1 (43 enodes) 1540331946.105 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540331946.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331946.105 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540331946.106 * * [misc]simplify: iters left: 6 (15 enodes) 1540331946.112 * * [misc]simplify: iters left: 5 (21 enodes) 1540331946.119 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.127 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.132 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540331946.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540331946.132 * * * * [misc]progress: [ 165 / 266 ] simplifiying candidate # 1540331946.133 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540331946.133 * * [misc]simplify: iters left: 6 (13 enodes) 1540331946.136 * * [misc]simplify: iters left: 5 (19 enodes) 1540331946.139 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.148 * * [misc]simplify: iters left: 3 (34 enodes) 1540331946.160 * * [misc]simplify: iters left: 2 (44 enodes) 1540331946.174 * * [misc]simplify: iters left: 1 (59 enodes) 1540331946.194 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540331946.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331946.195 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540331946.196 * * [misc]simplify: iters left: 6 (12 enodes) 1540331946.200 * * [misc]simplify: iters left: 5 (16 enodes) 1540331946.206 * * [misc]simplify: iters left: 4 (22 enodes) 1540331946.213 * * [misc]simplify: iters left: 3 (24 enodes) 1540331946.222 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540331946.222 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331946.223 * * * * [misc]progress: [ 166 / 266 ] simplifiying candidate # 1540331946.223 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.224 * * [misc]simplify: iters left: 6 (16 enodes) 1540331946.227 * * [misc]simplify: iters left: 5 (25 enodes) 1540331946.232 * * [misc]simplify: iters left: 4 (33 enodes) 1540331946.238 * * [misc]simplify: iters left: 3 (41 enodes) 1540331946.247 * * [misc]simplify: iters left: 2 (64 enodes) 1540331946.272 * * [misc]simplify: iters left: 1 (95 enodes) 1540331946.294 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540331946.294 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331946.295 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.296 * * [misc]simplify: iters left: 6 (15 enodes) 1540331946.299 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.303 * * [misc]simplify: iters left: 4 (26 enodes) 1540331946.309 * * [misc]simplify: iters left: 3 (28 enodes) 1540331946.314 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331946.314 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331946.314 * * * * [misc]progress: [ 167 / 266 ] simplifiying candidate # 1540331946.314 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.315 * * [misc]simplify: iters left: 6 (15 enodes) 1540331946.321 * * [misc]simplify: iters left: 5 (22 enodes) 1540331946.328 * * [misc]simplify: iters left: 4 (28 enodes) 1540331946.338 * * [misc]simplify: iters left: 3 (37 enodes) 1540331946.352 * * [misc]simplify: iters left: 2 (47 enodes) 1540331946.367 * * [misc]simplify: iters left: 1 (62 enodes) 1540331946.390 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540331946.390 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331946.390 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.392 * * [misc]simplify: iters left: 6 (15 enodes) 1540331946.398 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.405 * * [misc]simplify: iters left: 4 (26 enodes) 1540331946.414 * * [misc]simplify: iters left: 3 (28 enodes) 1540331946.424 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331946.424 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331946.424 * * * * [misc]progress: [ 168 / 266 ] simplifiying candidate # 1540331946.425 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1540331946.425 * * [misc]simplify: iters left: 6 (7 enodes) 1540331946.428 * * [misc]simplify: iters left: 5 (11 enodes) 1540331946.433 * * [misc]simplify: iters left: 4 (17 enodes) 1540331946.436 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540331946.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.437 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.439 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.441 * * [misc]simplify: iters left: 5 (19 enodes) 1540331946.445 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.452 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.461 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331946.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331946.462 * * * * [misc]progress: [ 169 / 266 ] simplifiying candidate # 1540331946.462 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1540331946.463 * * [misc]simplify: iters left: 6 (9 enodes) 1540331946.467 * * [misc]simplify: iters left: 5 (15 enodes) 1540331946.471 * [exit]simplify: Simplified to (sqrt (* n 2)) 1540331946.471 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331946.471 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331946.472 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.475 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.479 * * [misc]simplify: iters left: 4 (24 enodes) 1540331946.483 * * [misc]simplify: iters left: 3 (26 enodes) 1540331946.489 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331946.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331946.489 * * * * [misc]progress: [ 170 / 266 ] simplifiying candidate # 1540331946.489 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1540331946.489 * * [misc]simplify: iters left: 6 (9 enodes) 1540331946.492 * * [misc]simplify: iters left: 5 (15 enodes) 1540331946.494 * [exit]simplify: Simplified to (sqrt (* n 2)) 1540331946.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331946.494 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540331946.495 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.498 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.502 * * [misc]simplify: iters left: 4 (24 enodes) 1540331946.506 * * [misc]simplify: iters left: 3 (26 enodes) 1540331946.514 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331946.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331946.515 * * * * [misc]progress: [ 171 / 266 ] simplifiying candidate # 1540331946.515 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540331946.516 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.521 * * [misc]simplify: iters left: 5 (17 enodes) 1540331946.526 * * [misc]simplify: iters left: 4 (20 enodes) 1540331946.535 * * [misc]simplify: iters left: 3 (24 enodes) 1540331946.541 * * [misc]simplify: iters left: 2 (26 enodes) 1540331946.548 * * [misc]simplify: iters left: 1 (28 enodes) 1540331946.556 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540331946.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331946.556 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331946.557 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.562 * * [misc]simplify: iters left: 5 (15 enodes) 1540331946.568 * * [misc]simplify: iters left: 4 (21 enodes) 1540331946.574 * * [misc]simplify: iters left: 3 (23 enodes) 1540331946.583 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540331946.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331946.583 * * * * [misc]progress: [ 172 / 266 ] simplifiying candidate # 1540331946.583 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.584 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.591 * * [misc]simplify: iters left: 5 (23 enodes) 1540331946.599 * * [misc]simplify: iters left: 4 (26 enodes) 1540331946.607 * * [misc]simplify: iters left: 3 (31 enodes) 1540331946.615 * * [misc]simplify: iters left: 2 (34 enodes) 1540331946.627 * * [misc]simplify: iters left: 1 (48 enodes) 1540331946.645 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331946.645 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.647 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.652 * * [misc]simplify: iters left: 5 (19 enodes) 1540331946.659 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.667 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.679 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.679 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.679 * * * * [misc]progress: [ 173 / 266 ] simplifiying candidate # 1540331946.680 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.681 * * [misc]simplify: iters left: 6 (13 enodes) 1540331946.688 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.691 * * [misc]simplify: iters left: 4 (23 enodes) 1540331946.695 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.699 * * [misc]simplify: iters left: 2 (29 enodes) 1540331946.703 * * [misc]simplify: iters left: 1 (31 enodes) 1540331946.707 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540331946.707 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331946.708 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331946.708 * * [misc]simplify: iters left: 6 (14 enodes) 1540331946.711 * * [misc]simplify: iters left: 5 (19 enodes) 1540331946.715 * * [misc]simplify: iters left: 4 (25 enodes) 1540331946.719 * * [misc]simplify: iters left: 3 (27 enodes) 1540331946.724 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.724 * * * * [misc]progress: [ 174 / 266 ] simplifiying candidate # 1540331946.724 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1540331946.725 * * [misc]simplify: iters left: 4 (3 enodes) 1540331946.726 * * [misc]simplify: iters left: 3 (5 enodes) 1540331946.726 * [exit]simplify: Simplified to 1 1540331946.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.726 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.727 * * [misc]simplify: iters left: 6 (13 enodes) 1540331946.730 * * [misc]simplify: iters left: 5 (18 enodes) 1540331946.733 * * [misc]simplify: iters left: 4 (24 enodes) 1540331946.737 * * [misc]simplify: iters left: 3 (26 enodes) 1540331946.742 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331946.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331946.742 * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # 1540331946.742 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1540331946.742 * * [misc]simplify: iters left: 4 (3 enodes) 1540331946.743 * * [misc]simplify: iters left: 3 (5 enodes) 1540331946.744 * [exit]simplify: Simplified to 1 1540331946.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.744 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.744 * * [misc]simplify: iters left: 6 (13 enodes) 1540331946.747 * * [misc]simplify: iters left: 5 (18 enodes) 1540331946.752 * * [misc]simplify: iters left: 4 (24 enodes) 1540331946.757 * * [misc]simplify: iters left: 3 (26 enodes) 1540331946.767 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540331946.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540331946.767 * * * * [misc]progress: [ 176 / 266 ] simplifiying candidate # 1540331946.767 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1540331946.768 * * [misc]simplify: iters left: 4 (5 enodes) 1540331946.770 * * [misc]simplify: iters left: 3 (7 enodes) 1540331946.771 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540331946.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.772 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.773 * * [misc]simplify: iters left: 6 (13 enodes) 1540331946.778 * * [misc]simplify: iters left: 5 (20 enodes) 1540331946.785 * * [misc]simplify: iters left: 4 (26 enodes) 1540331946.796 * * [misc]simplify: iters left: 3 (36 enodes) 1540331946.807 * * [misc]simplify: iters left: 2 (38 enodes) 1540331946.816 * * [misc]simplify: iters left: 1 (43 enodes) 1540331946.829 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540331946.829 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540331946.829 * * * * [misc]progress: [ 177 / 266 ] simplifiying candidate # 1540331946.830 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1540331946.830 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.835 * * [misc]simplify: iters left: 5 (17 enodes) 1540331946.840 * * [misc]simplify: iters left: 4 (20 enodes) 1540331946.846 * * [misc]simplify: iters left: 3 (22 enodes) 1540331946.855 * * [misc]simplify: iters left: 2 (34 enodes) 1540331946.866 * * [misc]simplify: iters left: 1 (42 enodes) 1540331946.877 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540331946.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1540331946.878 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1540331946.879 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.883 * * [misc]simplify: iters left: 5 (14 enodes) 1540331946.890 * * [misc]simplify: iters left: 4 (17 enodes) 1540331946.896 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540331946.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540331946.897 * * * * [misc]progress: [ 178 / 266 ] simplifiying candidate # 1540331946.897 * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # 1540331946.897 * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # 1540331946.897 * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # 1540331946.897 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.898 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.902 * * [misc]simplify: iters left: 5 (14 enodes) 1540331946.908 * * [misc]simplify: iters left: 4 (17 enodes) 1540331946.914 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.914 * * * * [misc]progress: [ 182 / 266 ] simplifiying candidate # 1540331946.915 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.916 * * [misc]simplify: iters left: 6 (11 enodes) 1540331946.920 * * [misc]simplify: iters left: 5 (14 enodes) 1540331946.925 * * [misc]simplify: iters left: 4 (17 enodes) 1540331946.931 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.932 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.932 * * * * [misc]progress: [ 183 / 266 ] simplifiying candidate # 1540331946.932 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331946.933 * * [misc]simplify: iters left: 6 (10 enodes) 1540331946.937 * * [misc]simplify: iters left: 5 (13 enodes) 1540331946.942 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331946.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540331946.942 * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # 1540331946.942 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331946.943 * * [misc]simplify: iters left: 6 (10 enodes) 1540331946.947 * * [misc]simplify: iters left: 5 (13 enodes) 1540331946.952 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331946.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540331946.952 * * * * [misc]progress: [ 185 / 266 ] simplifiying candidate # 1540331946.953 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331946.954 * * [misc]simplify: iters left: 6 (9 enodes) 1540331946.957 * * [misc]simplify: iters left: 5 (11 enodes) 1540331946.962 * * [misc]simplify: iters left: 4 (14 enodes) 1540331946.967 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331946.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540331946.967 * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # 1540331946.967 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.968 * * [misc]simplify: iters left: 6 (12 enodes) 1540331946.973 * * [misc]simplify: iters left: 5 (15 enodes) 1540331946.978 * * [misc]simplify: iters left: 4 (18 enodes) 1540331946.985 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331946.985 * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # 1540331946.985 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331946.987 * * [misc]simplify: iters left: 6 (12 enodes) 1540331946.991 * * [misc]simplify: iters left: 5 (15 enodes) 1540331946.996 * * [misc]simplify: iters left: 4 (18 enodes) 1540331947.003 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331947.003 * * * * [misc]progress: [ 188 / 266 ] simplifiying candidate # 1540331947.004 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.005 * * [misc]simplify: iters left: 6 (11 enodes) 1540331947.009 * * [misc]simplify: iters left: 5 (14 enodes) 1540331947.014 * * [misc]simplify: iters left: 4 (17 enodes) 1540331947.020 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331947.020 * * * * [misc]progress: [ 189 / 266 ] simplifiying candidate # 1540331947.021 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331947.022 * * [misc]simplify: iters left: 6 (10 enodes) 1540331947.027 * * [misc]simplify: iters left: 5 (13 enodes) 1540331947.032 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331947.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540331947.032 * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # 1540331947.033 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331947.034 * * [misc]simplify: iters left: 6 (10 enodes) 1540331947.038 * * [misc]simplify: iters left: 5 (13 enodes) 1540331947.043 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331947.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540331947.043 * * * * [misc]progress: [ 191 / 266 ] simplifiying candidate # 1540331947.043 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331947.044 * * [misc]simplify: iters left: 6 (9 enodes) 1540331947.047 * * [misc]simplify: iters left: 5 (11 enodes) 1540331947.051 * * [misc]simplify: iters left: 4 (14 enodes) 1540331947.056 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331947.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540331947.057 * * * * [misc]progress: [ 192 / 266 ] simplifiying candidate # 1540331947.057 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.058 * * [misc]simplify: iters left: 6 (12 enodes) 1540331947.063 * * [misc]simplify: iters left: 5 (15 enodes) 1540331947.069 * * [misc]simplify: iters left: 4 (18 enodes) 1540331947.076 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331947.076 * * * * [misc]progress: [ 193 / 266 ] simplifiying candidate # 1540331947.076 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.077 * * [misc]simplify: iters left: 6 (12 enodes) 1540331947.082 * * [misc]simplify: iters left: 5 (15 enodes) 1540331947.085 * * [misc]simplify: iters left: 4 (18 enodes) 1540331947.088 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.089 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331947.089 * * * * [misc]progress: [ 194 / 266 ] simplifiying candidate # 1540331947.089 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.089 * * [misc]simplify: iters left: 6 (11 enodes) 1540331947.091 * * [misc]simplify: iters left: 5 (14 enodes) 1540331947.094 * * [misc]simplify: iters left: 4 (17 enodes) 1540331947.097 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331947.097 * * * * [misc]progress: [ 195 / 266 ] simplifiying candidate # 1540331947.097 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540331947.098 * * [misc]simplify: iters left: 6 (9 enodes) 1540331947.100 * * [misc]simplify: iters left: 5 (12 enodes) 1540331947.102 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540331947.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540331947.102 * * * * [misc]progress: [ 196 / 266 ] simplifiying candidate # 1540331947.102 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540331947.103 * * [misc]simplify: iters left: 6 (9 enodes) 1540331947.104 * * [misc]simplify: iters left: 5 (12 enodes) 1540331947.107 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540331947.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540331947.107 * * * * [misc]progress: [ 197 / 266 ] simplifiying candidate # 1540331947.107 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540331947.107 * * [misc]simplify: iters left: 6 (8 enodes) 1540331947.109 * * [misc]simplify: iters left: 5 (10 enodes) 1540331947.111 * * [misc]simplify: iters left: 4 (13 enodes) 1540331947.113 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540331947.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540331947.113 * * * * [misc]progress: [ 198 / 266 ] simplifiying candidate # 1540331947.113 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.114 * * [misc]simplify: iters left: 6 (11 enodes) 1540331947.116 * * [misc]simplify: iters left: 5 (14 enodes) 1540331947.119 * * [misc]simplify: iters left: 4 (17 enodes) 1540331947.122 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331947.122 * * * * [misc]progress: [ 199 / 266 ] simplifiying candidate # 1540331947.122 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.123 * * [misc]simplify: iters left: 6 (11 enodes) 1540331947.126 * * [misc]simplify: iters left: 5 (14 enodes) 1540331947.129 * * [misc]simplify: iters left: 4 (17 enodes) 1540331947.135 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331947.136 * * * * [misc]progress: [ 200 / 266 ] simplifiying candidate # 1540331947.136 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.137 * * [misc]simplify: iters left: 6 (10 enodes) 1540331947.141 * * [misc]simplify: iters left: 5 (13 enodes) 1540331947.145 * * [misc]simplify: iters left: 4 (16 enodes) 1540331947.151 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.151 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331947.151 * * * * [misc]progress: [ 201 / 266 ] simplifiying candidate # 1540331947.151 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.152 * * [misc]simplify: iters left: 6 (10 enodes) 1540331947.156 * * [misc]simplify: iters left: 5 (13 enodes) 1540331947.160 * * [misc]simplify: iters left: 4 (16 enodes) 1540331947.165 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.165 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331947.165 * * * * [misc]progress: [ 202 / 266 ] simplifiying candidate # 1540331947.165 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1540331947.165 * * [misc]simplify: iters left: 6 (10 enodes) 1540331947.167 * * [misc]simplify: iters left: 5 (15 enodes) 1540331947.170 * * [misc]simplify: iters left: 4 (18 enodes) 1540331947.173 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331947.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331947.173 * * * * [misc]progress: [ 203 / 266 ] simplifiying candidate # 1540331947.173 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540331947.173 * * [misc]simplify: iters left: 3 (6 enodes) 1540331947.174 * * [misc]simplify: iters left: 2 (7 enodes) 1540331947.176 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540331947.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1540331947.176 * * * * [misc]progress: [ 204 / 266 ] simplifiying candidate # 1540331947.176 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1540331947.177 * * [misc]simplify: iters left: 6 (12 enodes) 1540331947.180 * * [misc]simplify: iters left: 5 (18 enodes) 1540331947.183 * * [misc]simplify: iters left: 4 (22 enodes) 1540331947.187 * * [misc]simplify: iters left: 3 (26 enodes) 1540331947.192 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540331947.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1540331947.192 * * * * [misc]progress: [ 205 / 266 ] simplifiying candidate # 1540331947.192 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1540331947.193 * * [misc]simplify: iters left: 6 (11 enodes) 1540331947.198 * * [misc]simplify: iters left: 5 (17 enodes) 1540331947.204 * * [misc]simplify: iters left: 4 (21 enodes) 1540331947.211 * * [misc]simplify: iters left: 3 (25 enodes) 1540331947.218 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540331947.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))))) 1540331947.218 * * * * [misc]progress: [ 206 / 266 ] simplifiying candidate # 1540331947.218 * * * * [misc]progress: [ 207 / 266 ] simplifiying candidate # 1540331947.218 * * * * [misc]progress: [ 208 / 266 ] simplifiying candidate # 1540331947.218 * [enter]simplify: Simplifying (/ 1 1) 1540331947.219 * * [misc]simplify: iters left: 2 (2 enodes) 1540331947.220 * * [misc]simplify: iters left: 1 (4 enodes) 1540331947.220 * [exit]simplify: Simplified to 1 1540331947.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1540331947.221 * * * * [misc]progress: [ 209 / 266 ] simplifiying candidate # 1540331947.221 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540331947.221 * * [misc]simplify: iters left: 5 (8 enodes) 1540331947.225 * * [misc]simplify: iters left: 4 (11 enodes) 1540331947.229 * * [misc]simplify: iters left: 3 (14 enodes) 1540331947.233 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540331947.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331947.233 * * * * [misc]progress: [ 210 / 266 ] simplifiying candidate # 1540331947.234 * * * * [misc]progress: [ 211 / 266 ] simplifiying candidate # 1540331947.234 * * * * [misc]progress: [ 212 / 266 ] simplifiying candidate # 1540331947.234 * * * * [misc]progress: [ 213 / 266 ] simplifiying candidate # 1540331947.234 * * * * [misc]progress: [ 214 / 266 ] simplifiying candidate # 1540331947.234 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540331947.237 * * [misc]simplify: iters left: 6 (12 enodes) 1540331947.243 * * [misc]simplify: iters left: 5 (21 enodes) 1540331947.257 * * [misc]simplify: iters left: 4 (44 enodes) 1540331947.289 * * [misc]simplify: iters left: 3 (133 enodes) 1540331947.374 * * [misc]simplify: iters left: 2 (379 enodes) 1540331947.666 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1540331947.666 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540331947.666 * * * * [misc]progress: [ 215 / 266 ] simplifiying candidate # 1540331947.666 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540331947.668 * * [misc]simplify: iters left: 6 (12 enodes) 1540331947.674 * * [misc]simplify: iters left: 5 (21 enodes) 1540331947.685 * * [misc]simplify: iters left: 4 (44 enodes) 1540331947.721 * * [misc]simplify: iters left: 3 (133 enodes) 1540331947.824 * * [misc]simplify: iters left: 2 (379 enodes) 1540331948.093 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1540331948.093 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1540331948.093 * * * * [misc]progress: [ 216 / 266 ] simplifiying candidate # 1540331948.094 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.094 * * [misc]simplify: iters left: 6 (12 enodes) 1540331948.097 * * [misc]simplify: iters left: 5 (19 enodes) 1540331948.102 * * [misc]simplify: iters left: 4 (32 enodes) 1540331948.111 * * [misc]simplify: iters left: 3 (69 enodes) 1540331948.166 * * [misc]simplify: iters left: 2 (208 enodes) 1540331948.374 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1540331948.374 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1540331948.374 * * * * [misc]progress: [ 217 / 266 ] simplifiying candidate # 1540331948.374 * * * * [misc]progress: [ 218 / 266 ] simplifiying candidate # 1540331948.374 * * * * [misc]progress: [ 219 / 266 ] simplifiying candidate # 1540331948.375 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.376 * * [misc]simplify: iters left: 6 (14 enodes) 1540331948.383 * * [misc]simplify: iters left: 5 (26 enodes) 1540331948.398 * * [misc]simplify: iters left: 4 (58 enodes) 1540331948.431 * * [misc]simplify: iters left: 3 (117 enodes) 1540331948.488 * * [misc]simplify: iters left: 2 (193 enodes) 1540331948.596 * * [misc]simplify: iters left: 1 (263 enodes) 1540331948.747 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.747 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331948.747 * * * * [misc]progress: [ 220 / 266 ] simplifiying candidate # 1540331948.747 * * * * [misc]progress: [ 221 / 266 ] simplifiying candidate # 1540331948.747 * * * * [misc]progress: [ 222 / 266 ] simplifiying candidate # 1540331948.747 * * * * [misc]progress: [ 223 / 266 ] simplifiying candidate # 1540331948.747 * * * * [misc]progress: [ 224 / 266 ] simplifiying candidate # 1540331948.747 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540331948.748 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.750 * * [misc]simplify: iters left: 5 (14 enodes) 1540331948.752 * * [misc]simplify: iters left: 4 (16 enodes) 1540331948.755 * * [misc]simplify: iters left: 3 (17 enodes) 1540331948.758 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540331948.758 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331948.758 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331948.759 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.761 * * [misc]simplify: iters left: 5 (13 enodes) 1540331948.764 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331948.764 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540331948.764 * * * * [misc]progress: [ 225 / 266 ] simplifiying candidate # 1540331948.764 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540331948.765 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.767 * * [misc]simplify: iters left: 5 (14 enodes) 1540331948.769 * * [misc]simplify: iters left: 4 (16 enodes) 1540331948.772 * * [misc]simplify: iters left: 3 (17 enodes) 1540331948.775 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540331948.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331948.775 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331948.776 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.778 * * [misc]simplify: iters left: 5 (13 enodes) 1540331948.780 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331948.780 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540331948.780 * * * * [misc]progress: [ 226 / 266 ] simplifiying candidate # 1540331948.780 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540331948.781 * * [misc]simplify: iters left: 6 (11 enodes) 1540331948.783 * * [misc]simplify: iters left: 5 (15 enodes) 1540331948.786 * * [misc]simplify: iters left: 4 (20 enodes) 1540331948.790 * * [misc]simplify: iters left: 3 (21 enodes) 1540331948.793 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540331948.794 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331948.794 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331948.794 * * [misc]simplify: iters left: 6 (9 enodes) 1540331948.796 * * [misc]simplify: iters left: 5 (11 enodes) 1540331948.798 * * [misc]simplify: iters left: 4 (14 enodes) 1540331948.801 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331948.801 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331948.801 * * * * [misc]progress: [ 227 / 266 ] simplifiying candidate # 1540331948.801 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331948.802 * * [misc]simplify: iters left: 6 (14 enodes) 1540331948.805 * * [misc]simplify: iters left: 5 (23 enodes) 1540331948.811 * * [misc]simplify: iters left: 4 (35 enodes) 1540331948.817 * * [misc]simplify: iters left: 3 (38 enodes) 1540331948.823 * * [misc]simplify: iters left: 2 (41 enodes) 1540331948.831 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331948.832 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331948.832 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.832 * * [misc]simplify: iters left: 6 (12 enodes) 1540331948.835 * * [misc]simplify: iters left: 5 (15 enodes) 1540331948.839 * * [misc]simplify: iters left: 4 (18 enodes) 1540331948.846 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.846 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331948.846 * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # 1540331948.846 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.847 * * [misc]simplify: iters left: 6 (13 enodes) 1540331948.852 * * [misc]simplify: iters left: 5 (18 enodes) 1540331948.858 * * [misc]simplify: iters left: 4 (23 enodes) 1540331948.866 * * [misc]simplify: iters left: 3 (24 enodes) 1540331948.874 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.874 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331948.875 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.876 * * [misc]simplify: iters left: 6 (12 enodes) 1540331948.880 * * [misc]simplify: iters left: 5 (15 enodes) 1540331948.885 * * [misc]simplify: iters left: 4 (18 enodes) 1540331948.891 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331948.891 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331948.891 * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # 1540331948.892 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540331948.892 * * [misc]simplify: iters left: 6 (6 enodes) 1540331948.895 * * [misc]simplify: iters left: 5 (10 enodes) 1540331948.900 * * [misc]simplify: iters left: 4 (16 enodes) 1540331948.904 * * [misc]simplify: iters left: 3 (18 enodes) 1540331948.909 * * [misc]simplify: iters left: 2 (23 enodes) 1540331948.916 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331948.916 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331948.917 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331948.919 * * [misc]simplify: iters left: 6 (11 enodes) 1540331948.923 * * [misc]simplify: iters left: 5 (14 enodes) 1540331948.928 * * [misc]simplify: iters left: 4 (17 enodes) 1540331948.934 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331948.934 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331948.934 * * * * [misc]progress: [ 230 / 266 ] simplifiying candidate # 1540331948.934 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540331948.935 * * [misc]simplify: iters left: 5 (9 enodes) 1540331948.938 * * [misc]simplify: iters left: 4 (11 enodes) 1540331948.942 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540331948.942 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331948.942 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331948.943 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.946 * * [misc]simplify: iters left: 5 (13 enodes) 1540331948.951 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331948.951 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540331948.951 * * * * [misc]progress: [ 231 / 266 ] simplifiying candidate # 1540331948.952 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540331948.952 * * [misc]simplify: iters left: 5 (9 enodes) 1540331948.955 * * [misc]simplify: iters left: 4 (11 enodes) 1540331948.959 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540331948.959 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540331948.959 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540331948.960 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.964 * * [misc]simplify: iters left: 5 (13 enodes) 1540331948.969 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540331948.969 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540331948.969 * * * * [misc]progress: [ 232 / 266 ] simplifiying candidate # 1540331948.970 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331948.971 * * [misc]simplify: iters left: 6 (10 enodes) 1540331948.974 * * [misc]simplify: iters left: 5 (12 enodes) 1540331948.978 * * [misc]simplify: iters left: 4 (15 enodes) 1540331948.983 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331948.984 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331948.984 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331948.985 * * [misc]simplify: iters left: 6 (9 enodes) 1540331948.988 * * [misc]simplify: iters left: 5 (11 enodes) 1540331948.990 * * [misc]simplify: iters left: 4 (14 enodes) 1540331948.992 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331948.992 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540331948.992 * * * * [misc]progress: [ 233 / 266 ] simplifiying candidate # 1540331948.992 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331948.993 * * [misc]simplify: iters left: 6 (13 enodes) 1540331948.996 * * [misc]simplify: iters left: 5 (18 enodes) 1540331948.999 * * [misc]simplify: iters left: 4 (21 enodes) 1540331949.003 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331949.003 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.004 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.004 * * [misc]simplify: iters left: 6 (12 enodes) 1540331949.006 * * [misc]simplify: iters left: 5 (15 enodes) 1540331949.009 * * [misc]simplify: iters left: 4 (18 enodes) 1540331949.012 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.012 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.012 * * * * [misc]progress: [ 234 / 266 ] simplifiying candidate # 1540331949.013 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.013 * * [misc]simplify: iters left: 6 (12 enodes) 1540331949.016 * * [misc]simplify: iters left: 5 (15 enodes) 1540331949.018 * * [misc]simplify: iters left: 4 (18 enodes) 1540331949.023 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.023 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.023 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.024 * * [misc]simplify: iters left: 6 (12 enodes) 1540331949.026 * * [misc]simplify: iters left: 5 (15 enodes) 1540331949.029 * * [misc]simplify: iters left: 4 (18 enodes) 1540331949.032 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.032 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.032 * * * * [misc]progress: [ 235 / 266 ] simplifiying candidate # 1540331949.032 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540331949.032 * * [misc]simplify: iters left: 4 (5 enodes) 1540331949.033 * * [misc]simplify: iters left: 3 (7 enodes) 1540331949.035 * * [misc]simplify: iters left: 2 (9 enodes) 1540331949.036 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331949.036 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.036 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.037 * * [misc]simplify: iters left: 6 (11 enodes) 1540331949.039 * * [misc]simplify: iters left: 5 (14 enodes) 1540331949.041 * * [misc]simplify: iters left: 4 (17 enodes) 1540331949.044 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.044 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.044 * * * * [misc]progress: [ 236 / 266 ] simplifiying candidate # 1540331949.045 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540331949.045 * * [misc]simplify: iters left: 5 (7 enodes) 1540331949.046 * * [misc]simplify: iters left: 4 (11 enodes) 1540331949.048 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540331949.048 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331949.048 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540331949.049 * * [misc]simplify: iters left: 6 (9 enodes) 1540331949.051 * * [misc]simplify: iters left: 5 (12 enodes) 1540331949.053 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540331949.053 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540331949.053 * * * * [misc]progress: [ 237 / 266 ] simplifiying candidate # 1540331949.053 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540331949.053 * * [misc]simplify: iters left: 5 (7 enodes) 1540331949.055 * * [misc]simplify: iters left: 4 (11 enodes) 1540331949.058 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540331949.058 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540331949.058 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540331949.059 * * [misc]simplify: iters left: 6 (9 enodes) 1540331949.062 * * [misc]simplify: iters left: 5 (12 enodes) 1540331949.067 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540331949.067 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540331949.067 * * * * [misc]progress: [ 238 / 266 ] simplifiying candidate # 1540331949.067 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540331949.068 * * [misc]simplify: iters left: 6 (9 enodes) 1540331949.071 * * [misc]simplify: iters left: 5 (13 enodes) 1540331949.076 * * [misc]simplify: iters left: 4 (16 enodes) 1540331949.081 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540331949.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331949.082 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540331949.082 * * [misc]simplify: iters left: 6 (8 enodes) 1540331949.085 * * [misc]simplify: iters left: 5 (10 enodes) 1540331949.089 * * [misc]simplify: iters left: 4 (13 enodes) 1540331949.094 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540331949.094 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540331949.094 * * * * [misc]progress: [ 239 / 266 ] simplifiying candidate # 1540331949.095 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331949.096 * * [misc]simplify: iters left: 6 (12 enodes) 1540331949.101 * * [misc]simplify: iters left: 5 (19 enodes) 1540331949.107 * * [misc]simplify: iters left: 4 (22 enodes) 1540331949.115 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331949.115 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.116 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.117 * * [misc]simplify: iters left: 6 (11 enodes) 1540331949.121 * * [misc]simplify: iters left: 5 (14 enodes) 1540331949.128 * * [misc]simplify: iters left: 4 (17 enodes) 1540331949.134 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.134 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.134 * * * * [misc]progress: [ 240 / 266 ] simplifiying candidate # 1540331949.135 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.136 * * [misc]simplify: iters left: 6 (11 enodes) 1540331949.140 * * [misc]simplify: iters left: 5 (16 enodes) 1540331949.146 * * [misc]simplify: iters left: 4 (19 enodes) 1540331949.152 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331949.152 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.152 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.153 * * [misc]simplify: iters left: 6 (11 enodes) 1540331949.155 * * [misc]simplify: iters left: 5 (14 enodes) 1540331949.158 * * [misc]simplify: iters left: 4 (17 enodes) 1540331949.161 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331949.161 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540331949.161 * * * * [misc]progress: [ 241 / 266 ] simplifiying candidate # 1540331949.162 * [enter]simplify: Simplifying (/ 1 1) 1540331949.162 * * [misc]simplify: iters left: 2 (2 enodes) 1540331949.163 * * [misc]simplify: iters left: 1 (4 enodes) 1540331949.164 * [exit]simplify: Simplified to 1 1540331949.164 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.164 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.165 * * [misc]simplify: iters left: 6 (10 enodes) 1540331949.168 * * [misc]simplify: iters left: 5 (13 enodes) 1540331949.173 * * [misc]simplify: iters left: 4 (16 enodes) 1540331949.178 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.178 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.178 * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # 1540331949.178 * * * * [misc]progress: [ 243 / 266 ] simplifiying candidate # 1540331949.178 * * * * [misc]progress: [ 244 / 266 ] simplifiying candidate # 1540331949.178 * * * * [misc]progress: [ 245 / 266 ] simplifiying candidate # 1540331949.179 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540331949.179 * * [misc]simplify: iters left: 5 (7 enodes) 1540331949.182 * * [misc]simplify: iters left: 4 (10 enodes) 1540331949.185 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540331949.185 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540331949.185 * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # 1540331949.186 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540331949.186 * * [misc]simplify: iters left: 5 (7 enodes) 1540331949.189 * * [misc]simplify: iters left: 4 (10 enodes) 1540331949.193 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540331949.193 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540331949.193 * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # 1540331949.193 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540331949.194 * * [misc]simplify: iters left: 5 (6 enodes) 1540331949.196 * * [misc]simplify: iters left: 4 (8 enodes) 1540331949.199 * * [misc]simplify: iters left: 3 (11 enodes) 1540331949.203 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540331949.209 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540331949.210 * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # 1540331949.210 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.211 * * [misc]simplify: iters left: 6 (9 enodes) 1540331949.214 * * [misc]simplify: iters left: 5 (12 enodes) 1540331949.218 * * [misc]simplify: iters left: 4 (15 enodes) 1540331949.224 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.224 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.224 * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # 1540331949.224 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.225 * * [misc]simplify: iters left: 6 (9 enodes) 1540331949.229 * * [misc]simplify: iters left: 5 (12 enodes) 1540331949.233 * * [misc]simplify: iters left: 4 (15 enodes) 1540331949.239 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540331949.239 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540331949.239 * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # 1540331949.239 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540331949.240 * * [misc]simplify: iters left: 5 (8 enodes) 1540331949.243 * * [misc]simplify: iters left: 4 (11 enodes) 1540331949.247 * * [misc]simplify: iters left: 3 (14 enodes) 1540331949.252 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540331949.252 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331949.252 * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # 1540331949.252 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331949.253 * * [misc]simplify: iters left: 4 (4 enodes) 1540331949.255 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331949.255 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540331949.255 * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # 1540331949.255 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540331949.256 * * [misc]simplify: iters left: 2 (3 enodes) 1540331949.257 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331949.257 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540331949.257 * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # 1540331949.257 * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # 1540331949.257 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540331949.258 * * [misc]simplify: iters left: 3 (6 enodes) 1540331949.260 * * [misc]simplify: iters left: 2 (7 enodes) 1540331949.262 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540331949.262 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1540331949.262 * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # 1540331949.263 * [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))))) 1540331949.268 * * [misc]simplify: iters left: 6 (35 enodes) 1540331949.294 * * [misc]simplify: iters left: 5 (102 enodes) 1540331949.368 * * [misc]simplify: iters left: 4 (321 enodes) 1540331949.954 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1540331949.954 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1540331949.954 * * * * [misc]progress: [ 256 / 266 ] simplifiying candidate # 1540331949.954 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540331949.955 * * [misc]simplify: iters left: 6 (13 enodes) 1540331949.960 * * [misc]simplify: iters left: 5 (27 enodes) 1540331949.967 * * [misc]simplify: iters left: 4 (53 enodes) 1540331949.998 * * [misc]simplify: iters left: 3 (124 enodes) 1540331950.094 * * [misc]simplify: iters left: 2 (394 enodes) 1540331950.786 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1540331950.786 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1540331950.786 * * * * [misc]progress: [ 257 / 266 ] simplifiying candidate # 1540331950.787 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540331950.788 * * [misc]simplify: iters left: 6 (13 enodes) 1540331950.792 * * [misc]simplify: iters left: 5 (24 enodes) 1540331950.800 * * [misc]simplify: iters left: 4 (54 enodes) 1540331950.820 * * [misc]simplify: iters left: 3 (151 enodes) 1540331950.982 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1540331950.982 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1540331950.983 * * * * [misc]progress: [ 258 / 266 ] simplifiying candidate # 1540331950.983 * [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)))) 1540331950.984 * * [misc]simplify: iters left: 6 (18 enodes) 1540331950.989 * * [misc]simplify: iters left: 5 (39 enodes) 1540331951.005 * * [misc]simplify: iters left: 4 (110 enodes) 1540331951.051 * * [misc]simplify: iters left: 3 (321 enodes) 1540331951.390 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1540331951.391 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331951.391 * * * * [misc]progress: [ 259 / 266 ] simplifiying candidate # 1540331951.392 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331951.393 * * [misc]simplify: iters left: 5 (6 enodes) 1540331951.395 * * [misc]simplify: iters left: 4 (9 enodes) 1540331951.401 * * [misc]simplify: iters left: 3 (17 enodes) 1540331951.412 * * [misc]simplify: iters left: 2 (24 enodes) 1540331951.418 * * [misc]simplify: iters left: 1 (28 enodes) 1540331951.434 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331951.434 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331951.434 * * * * [misc]progress: [ 260 / 266 ] simplifiying candidate # 1540331951.435 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331951.435 * * [misc]simplify: iters left: 5 (6 enodes) 1540331951.438 * * [misc]simplify: iters left: 4 (9 enodes) 1540331951.443 * * [misc]simplify: iters left: 3 (17 enodes) 1540331951.449 * * [misc]simplify: iters left: 2 (24 enodes) 1540331951.455 * * [misc]simplify: iters left: 1 (28 enodes) 1540331951.471 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331951.471 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (fma k -1/2 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540331951.471 * * * * [misc]progress: [ 261 / 266 ] simplifiying candidate # 1540331951.471 * [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))))))))))))))) 1540331951.471 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331951.471 * * * * [misc]progress: [ 262 / 266 ] simplifiying candidate # 1540331951.471 * [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)))))))) 1540331951.471 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331951.471 * * * * [misc]progress: [ 263 / 266 ] simplifiying candidate # 1540331951.472 * [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)))))))) 1540331951.472 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540331951.472 * * * * [misc]progress: [ 264 / 266 ] simplifiying candidate # 1540331951.472 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540331951.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540331951.472 * * * * [misc]progress: [ 265 / 266 ] simplifiying candidate # 1540331951.472 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540331951.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540331951.473 * * * * [misc]progress: [ 266 / 266 ] simplifiying candidate # 1540331951.473 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540331951.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1540331951.473 * * * [misc]progress: adding candidates to table 1540331960.007 * * [misc]progress: iteration 4 / 4 1540331960.007 * * * [misc]progress: picking best candidate 1540331960.244 * * * * [misc]pick: Picked # 1540331960.244 * * * [misc]progress: localizing error 1540331960.385 * * * [misc]progress: generating rewritten candidates 1540331960.385 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1540331960.719 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) 1540331960.859 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1540331960.990 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1540331961.656 * * * [misc]progress: generating series expansions 1540331961.675 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1540331961.680 * [misc]backup-simplify: Simplify (pow (* 2 n) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540331961.680 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540331961.680 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331961.680 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331961.680 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331961.680 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331961.680 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.680 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.680 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331961.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.681 * [misc]taylor: Taking taylor expansion of k in k 1540331961.681 * [misc]backup-simplify: Simplify 0 into 0 1540331961.681 * [misc]backup-simplify: Simplify 1 into 1 1540331961.681 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331961.681 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331961.681 * [misc]taylor: Taking taylor expansion of 2 in k 1540331961.681 * [misc]backup-simplify: Simplify 2 into 2 1540331961.681 * [misc]taylor: Taking taylor expansion of n in k 1540331961.681 * [misc]backup-simplify: Simplify n into n 1540331961.681 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331961.681 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331961.720 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331961.720 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.720 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331961.720 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331961.720 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331961.720 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331961.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331961.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331961.720 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331961.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.720 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331961.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.721 * [misc]taylor: Taking taylor expansion of k in n 1540331961.721 * [misc]backup-simplify: Simplify k into k 1540331961.721 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331961.721 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331961.721 * [misc]taylor: Taking taylor expansion of 2 in n 1540331961.721 * [misc]backup-simplify: Simplify 2 into 2 1540331961.721 * [misc]taylor: Taking taylor expansion of n in n 1540331961.721 * [misc]backup-simplify: Simplify 0 into 0 1540331961.721 * [misc]backup-simplify: Simplify 1 into 1 1540331961.721 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331961.721 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331961.721 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.721 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331961.722 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331961.722 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331961.722 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331961.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331961.723 * [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)))) 1540331961.723 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.723 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.723 * [misc]taylor: Taking taylor expansion of k in n 1540331961.723 * [misc]backup-simplify: Simplify k into k 1540331961.723 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331961.723 * [misc]taylor: Taking taylor expansion of 2 in n 1540331961.731 * [misc]backup-simplify: Simplify 2 into 2 1540331961.731 * [misc]taylor: Taking taylor expansion of n in n 1540331961.731 * [misc]backup-simplify: Simplify 0 into 0 1540331961.731 * [misc]backup-simplify: Simplify 1 into 1 1540331961.731 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331961.731 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331961.732 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.732 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331961.732 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331961.732 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331961.732 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331961.733 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331961.733 * [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)))) 1540331961.747 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540331961.747 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540331961.747 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540331961.747 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540331961.747 * [misc]taylor: Taking taylor expansion of 2 in k 1540331961.748 * [misc]backup-simplify: Simplify 2 into 2 1540331961.748 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.748 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331961.748 * [misc]taylor: Taking taylor expansion of n in k 1540331961.748 * [misc]backup-simplify: Simplify n into n 1540331961.748 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331961.748 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331961.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.748 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331961.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.748 * [misc]taylor: Taking taylor expansion of k in k 1540331961.748 * [misc]backup-simplify: Simplify 0 into 0 1540331961.748 * [misc]backup-simplify: Simplify 1 into 1 1540331961.748 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540331961.749 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331961.749 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.749 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331961.749 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540331961.750 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540331961.750 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540331961.750 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540331961.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331961.770 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540331961.770 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331961.792 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540331961.793 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331961.793 * [misc]taylor: Taking taylor expansion of 0 in k 1540331961.793 * [misc]backup-simplify: Simplify 0 into 0 1540331961.793 * [misc]backup-simplify: Simplify 0 into 0 1540331961.794 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331961.794 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331961.794 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331961.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331961.819 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540331961.819 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.825 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540331961.826 * [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))))) 1540331961.827 * [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))))) 1540331961.827 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540331961.855 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331961.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540331961.856 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331961.857 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540331961.859 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540331961.859 * [misc]taylor: Taking taylor expansion of 0 in k 1540331961.859 * [misc]backup-simplify: Simplify 0 into 0 1540331961.859 * [misc]backup-simplify: Simplify 0 into 0 1540331961.859 * [misc]backup-simplify: Simplify 0 into 0 1540331961.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331961.878 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.882 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331961.884 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540331961.884 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.885 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540331961.887 * [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))))) 1540331961.902 * [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))))) 1540331961.917 * [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))))) 1540331961.917 * [misc]backup-simplify: Simplify (pow (* 2 (/ 1 n)) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331961.917 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540331961.917 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.917 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.917 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.917 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331961.917 * [misc]taylor: Taking taylor expansion of k in k 1540331961.917 * [misc]backup-simplify: Simplify 0 into 0 1540331961.917 * [misc]backup-simplify: Simplify 1 into 1 1540331961.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331961.918 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331961.918 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331961.918 * [misc]taylor: Taking taylor expansion of 2 in k 1540331961.918 * [misc]backup-simplify: Simplify 2 into 2 1540331961.918 * [misc]taylor: Taking taylor expansion of n in k 1540331961.918 * [misc]backup-simplify: Simplify n into n 1540331961.918 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331961.918 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331961.918 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331961.918 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331961.919 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331961.919 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331961.919 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331961.919 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331961.919 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331961.919 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331961.919 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331961.919 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.923 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331961.923 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.923 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.923 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331961.923 * [misc]taylor: Taking taylor expansion of k in n 1540331961.923 * [misc]backup-simplify: Simplify k into k 1540331961.923 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331961.923 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331961.923 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331961.923 * [misc]taylor: Taking taylor expansion of 2 in n 1540331961.923 * [misc]backup-simplify: Simplify 2 into 2 1540331961.923 * [misc]taylor: Taking taylor expansion of n in n 1540331961.923 * [misc]backup-simplify: Simplify 0 into 0 1540331961.923 * [misc]backup-simplify: Simplify 1 into 1 1540331961.924 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331961.924 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.924 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331961.924 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331961.924 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331961.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331961.925 * [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))) 1540331961.925 * [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)))) 1540331961.925 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331961.925 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331961.925 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331961.925 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331961.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331961.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331961.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331961.926 * [misc]taylor: Taking taylor expansion of k in n 1540331961.926 * [misc]backup-simplify: Simplify k into k 1540331961.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331961.926 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331961.926 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331961.926 * [misc]taylor: Taking taylor expansion of 2 in n 1540331961.926 * [misc]backup-simplify: Simplify 2 into 2 1540331961.926 * [misc]taylor: Taking taylor expansion of n in n 1540331961.926 * [misc]backup-simplify: Simplify 0 into 0 1540331961.926 * [misc]backup-simplify: Simplify 1 into 1 1540331961.926 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331961.926 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.927 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331961.927 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331961.927 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331961.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331961.928 * [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))) 1540331961.928 * [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)))) 1540331961.928 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540331961.928 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540331961.928 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331961.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331961.928 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331961.928 * [misc]taylor: Taking taylor expansion of k in k 1540331961.928 * [misc]backup-simplify: Simplify 0 into 0 1540331961.928 * [misc]backup-simplify: Simplify 1 into 1 1540331961.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331961.929 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540331961.929 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540331961.929 * [misc]taylor: Taking taylor expansion of 2 in k 1540331961.929 * [misc]backup-simplify: Simplify 2 into 2 1540331961.929 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331961.929 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331961.929 * [misc]taylor: Taking taylor expansion of n in k 1540331961.929 * [misc]backup-simplify: Simplify n into n 1540331961.929 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331961.929 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331961.929 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331961.930 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331961.930 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331961.930 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540331961.930 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540331961.930 * [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)))) 1540331961.931 * [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)))) 1540331961.931 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540331961.935 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331961.935 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331961.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331961.936 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331961.937 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540331961.938 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331961.938 * [misc]taylor: Taking taylor expansion of 0 in k 1540331961.938 * [misc]backup-simplify: Simplify 0 into 0 1540331961.938 * [misc]backup-simplify: Simplify 0 into 0 1540331961.938 * [misc]backup-simplify: Simplify 0 into 0 1540331961.939 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331961.954 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540331961.954 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331961.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331961.955 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.964 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331961.965 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540331961.968 * [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 1540331961.968 * [misc]taylor: Taking taylor expansion of 0 in k 1540331961.968 * [misc]backup-simplify: Simplify 0 into 0 1540331961.968 * [misc]backup-simplify: Simplify 0 into 0 1540331961.968 * [misc]backup-simplify: Simplify 0 into 0 1540331961.968 * [misc]backup-simplify: Simplify 0 into 0 1540331961.968 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331961.983 * [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 1540331961.987 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331961.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331961.988 * [misc]backup-simplify: Simplify (- 0) into 0 1540331961.988 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331961.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331961.990 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540331961.993 * [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 1540331961.993 * [misc]taylor: Taking taylor expansion of 0 in k 1540331961.993 * [misc]backup-simplify: Simplify 0 into 0 1540331961.993 * [misc]backup-simplify: Simplify 0 into 0 1540331961.994 * [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)))) 1540331961.994 * [misc]backup-simplify: Simplify (pow (* 2 (/ 1 (- n))) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331961.994 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540331961.994 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331961.994 * [misc]taylor: Taking taylor expansion of k in k 1540331961.994 * [misc]backup-simplify: Simplify 0 into 0 1540331961.994 * [misc]backup-simplify: Simplify 1 into 1 1540331961.994 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331961.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331961.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331961.995 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331961.995 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331961.995 * [misc]taylor: Taking taylor expansion of -2 in k 1540331961.995 * [misc]backup-simplify: Simplify -2 into -2 1540331961.995 * [misc]taylor: Taking taylor expansion of n in k 1540331961.995 * [misc]backup-simplify: Simplify n into n 1540331961.995 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331961.995 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331961.995 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.004 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.004 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331962.004 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.004 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of k in n 1540331962.004 * [misc]backup-simplify: Simplify k into k 1540331962.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331962.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.004 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331962.004 * [misc]taylor: Taking taylor expansion of -2 in n 1540331962.004 * [misc]backup-simplify: Simplify -2 into -2 1540331962.004 * [misc]taylor: Taking taylor expansion of n in n 1540331962.004 * [misc]backup-simplify: Simplify 0 into 0 1540331962.004 * [misc]backup-simplify: Simplify 1 into 1 1540331962.004 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331962.004 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331962.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331962.005 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331962.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331962.005 * [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))) 1540331962.005 * [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)))) 1540331962.005 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331962.005 * [misc]taylor: Taking taylor expansion of k in n 1540331962.005 * [misc]backup-simplify: Simplify k into k 1540331962.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331962.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.006 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331962.006 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331962.006 * [misc]taylor: Taking taylor expansion of -2 in n 1540331962.006 * [misc]backup-simplify: Simplify -2 into -2 1540331962.006 * [misc]taylor: Taking taylor expansion of n in n 1540331962.006 * [misc]backup-simplify: Simplify 0 into 0 1540331962.006 * [misc]backup-simplify: Simplify 1 into 1 1540331962.006 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331962.006 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331962.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331962.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331962.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331962.006 * [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))) 1540331962.007 * [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)))) 1540331962.007 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of k in k 1540331962.007 * [misc]backup-simplify: Simplify 0 into 0 1540331962.007 * [misc]backup-simplify: Simplify 1 into 1 1540331962.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.007 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of -2 in k 1540331962.007 * [misc]backup-simplify: Simplify -2 into -2 1540331962.007 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331962.007 * [misc]taylor: Taking taylor expansion of (log n) in k 1540331962.007 * [misc]taylor: Taking taylor expansion of n in k 1540331962.007 * [misc]backup-simplify: Simplify n into n 1540331962.007 * [misc]backup-simplify: Simplify (log n) into (log n) 1540331962.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.008 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.008 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540331962.008 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540331962.008 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540331962.008 * [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)))) 1540331962.009 * [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)))) 1540331962.009 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540331962.014 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540331962.014 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331962.014 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331962.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.015 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331962.017 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540331962.018 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331962.018 * [misc]taylor: Taking taylor expansion of 0 in k 1540331962.018 * [misc]backup-simplify: Simplify 0 into 0 1540331962.019 * [misc]backup-simplify: Simplify 0 into 0 1540331962.019 * [misc]backup-simplify: Simplify 0 into 0 1540331962.019 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331962.024 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540331962.024 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331962.025 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540331962.025 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.025 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331962.026 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540331962.028 * [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 1540331962.028 * [misc]taylor: Taking taylor expansion of 0 in k 1540331962.028 * [misc]backup-simplify: Simplify 0 into 0 1540331962.028 * [misc]backup-simplify: Simplify 0 into 0 1540331962.028 * [misc]backup-simplify: Simplify 0 into 0 1540331962.028 * [misc]backup-simplify: Simplify 0 into 0 1540331962.029 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331962.038 * [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 1540331962.039 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540331962.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540331962.041 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.041 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331962.042 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540331962.045 * [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 1540331962.046 * [misc]taylor: Taking taylor expansion of 0 in k 1540331962.046 * [misc]backup-simplify: Simplify 0 into 0 1540331962.046 * [misc]backup-simplify: Simplify 0 into 0 1540331962.046 * [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))))) 1540331962.046 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1) 1540331962.048 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.049 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540331962.049 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.049 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.049 * [misc]taylor: Taking taylor expansion of k in k 1540331962.049 * [misc]backup-simplify: Simplify 0 into 0 1540331962.049 * [misc]backup-simplify: Simplify 1 into 1 1540331962.049 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.049 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.049 * [misc]backup-simplify: Simplify PI into PI 1540331962.056 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.056 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.056 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.057 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.057 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.058 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331962.058 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.058 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.058 * [misc]taylor: Taking taylor expansion of k in k 1540331962.058 * [misc]backup-simplify: Simplify 0 into 0 1540331962.058 * [misc]backup-simplify: Simplify 1 into 1 1540331962.058 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.058 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.058 * [misc]backup-simplify: Simplify PI into PI 1540331962.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.059 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.059 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.062 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331962.066 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540331962.069 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331962.069 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331962.069 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.069 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.070 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540331962.075 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331962.081 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331962.207 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540331962.209 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331962.210 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.211 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540331962.217 * [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))) 1540331962.219 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540331962.224 * [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)))) 1540331962.224 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.224 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540331962.224 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.224 * [misc]taylor: Taking taylor expansion of k in k 1540331962.224 * [misc]backup-simplify: Simplify 0 into 0 1540331962.224 * [misc]backup-simplify: Simplify 1 into 1 1540331962.225 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.225 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.225 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.225 * [misc]backup-simplify: Simplify PI into PI 1540331962.225 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.225 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.225 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.226 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.226 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331962.227 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of k in k 1540331962.227 * [misc]backup-simplify: Simplify 0 into 0 1540331962.227 * [misc]backup-simplify: Simplify 1 into 1 1540331962.227 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.227 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.227 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.227 * [misc]backup-simplify: Simplify PI into PI 1540331962.228 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.228 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.228 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.228 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.229 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331962.229 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.230 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify 0 into 0 1540331962.230 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.231 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.231 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540331962.231 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of k in k 1540331962.231 * [misc]backup-simplify: Simplify 0 into 0 1540331962.231 * [misc]backup-simplify: Simplify 1 into 1 1540331962.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.231 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.231 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.232 * [misc]backup-simplify: Simplify PI into PI 1540331962.232 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.232 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.232 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.233 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.233 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.233 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331962.233 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331962.233 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331962.233 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331962.233 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.233 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.233 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.233 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.234 * [misc]taylor: Taking taylor expansion of k in k 1540331962.234 * [misc]backup-simplify: Simplify 0 into 0 1540331962.234 * [misc]backup-simplify: Simplify 1 into 1 1540331962.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.234 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.234 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.234 * [misc]backup-simplify: Simplify PI into PI 1540331962.234 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.234 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.235 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.235 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.236 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.237 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify 0 into 0 1540331962.237 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.237 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1540331962.238 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.238 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540331962.238 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.238 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.238 * [misc]taylor: Taking taylor expansion of k in k 1540331962.238 * [misc]backup-simplify: Simplify 0 into 0 1540331962.238 * [misc]backup-simplify: Simplify 1 into 1 1540331962.238 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.238 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.238 * [misc]backup-simplify: Simplify PI into PI 1540331962.239 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.239 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.239 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.239 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.241 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.242 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331962.242 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.242 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.242 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.242 * [misc]taylor: Taking taylor expansion of k in k 1540331962.242 * [misc]backup-simplify: Simplify 0 into 0 1540331962.242 * [misc]backup-simplify: Simplify 1 into 1 1540331962.242 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.242 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.242 * [misc]backup-simplify: Simplify PI into PI 1540331962.243 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.243 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.243 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.243 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.244 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.244 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540331962.245 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540331962.248 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540331962.248 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331962.248 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.248 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.249 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540331962.256 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331962.257 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540331962.262 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540331962.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331962.263 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.265 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540331962.277 * [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))) 1540331962.289 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540331962.295 * [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)))) 1540331962.295 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.295 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540331962.295 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.295 * [misc]taylor: Taking taylor expansion of k in k 1540331962.295 * [misc]backup-simplify: Simplify 0 into 0 1540331962.295 * [misc]backup-simplify: Simplify 1 into 1 1540331962.296 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.296 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.296 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.296 * [misc]backup-simplify: Simplify PI into PI 1540331962.296 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.296 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.297 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.297 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.297 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331962.298 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.298 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.298 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.298 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.298 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of k in k 1540331962.298 * [misc]backup-simplify: Simplify 0 into 0 1540331962.298 * [misc]backup-simplify: Simplify 1 into 1 1540331962.298 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.298 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.298 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.298 * [misc]backup-simplify: Simplify PI into PI 1540331962.299 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.299 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.299 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.307 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.307 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540331962.308 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.308 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.308 * [misc]backup-simplify: Simplify 0 into 0 1540331962.308 * [misc]backup-simplify: Simplify 0 into 0 1540331962.308 * [misc]backup-simplify: Simplify 0 into 0 1540331962.309 * [misc]backup-simplify: Simplify 0 into 0 1540331962.309 * [misc]backup-simplify: Simplify 0 into 0 1540331962.309 * [misc]backup-simplify: Simplify 0 into 0 1540331962.309 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.309 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.309 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540331962.309 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.309 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.309 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.309 * [misc]taylor: Taking taylor expansion of k in k 1540331962.309 * [misc]backup-simplify: Simplify 0 into 0 1540331962.309 * [misc]backup-simplify: Simplify 1 into 1 1540331962.310 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.310 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.310 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.310 * [misc]backup-simplify: Simplify PI into PI 1540331962.310 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.310 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.311 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.319 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.320 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.320 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.320 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.320 * [misc]taylor: Taking taylor expansion of k in k 1540331962.320 * [misc]backup-simplify: Simplify 0 into 0 1540331962.320 * [misc]backup-simplify: Simplify 1 into 1 1540331962.321 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.321 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.321 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.321 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540331962.321 * [misc]taylor: Taking taylor expansion of PI in k 1540331962.321 * [misc]backup-simplify: Simplify PI into PI 1540331962.321 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540331962.321 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.322 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.322 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540331962.323 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.323 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify 0 into 0 1540331962.323 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540331962.324 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1540331962.324 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540331962.324 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540331962.324 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.324 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.324 * [misc]taylor: Taking taylor expansion of k in n 1540331962.324 * [misc]backup-simplify: Simplify k into k 1540331962.324 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331962.324 * [misc]taylor: Taking taylor expansion of 2 in n 1540331962.325 * [misc]backup-simplify: Simplify 2 into 2 1540331962.325 * [misc]taylor: Taking taylor expansion of n in n 1540331962.325 * [misc]backup-simplify: Simplify 0 into 0 1540331962.325 * [misc]backup-simplify: Simplify 1 into 1 1540331962.325 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331962.325 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331962.325 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331962.325 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540331962.326 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540331962.326 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540331962.326 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331962.326 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540331962.327 * [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)))) 1540331962.327 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1540331962.327 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540331962.327 * [misc]taylor: Taking taylor expansion of k in n 1540331962.327 * [misc]backup-simplify: Simplify k into k 1540331962.330 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540331962.330 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540331962.330 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331962.330 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540331962.330 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331962.330 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331962.330 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331962.331 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.331 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.331 * [misc]taylor: Taking taylor expansion of k in k 1540331962.331 * [misc]backup-simplify: Simplify 0 into 0 1540331962.331 * [misc]backup-simplify: Simplify 1 into 1 1540331962.331 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331962.331 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331962.331 * [misc]taylor: Taking taylor expansion of 2 in k 1540331962.331 * [misc]backup-simplify: Simplify 2 into 2 1540331962.331 * [misc]taylor: Taking taylor expansion of n in k 1540331962.331 * [misc]backup-simplify: Simplify n into n 1540331962.331 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331962.331 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331962.331 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.332 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.332 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.332 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331962.332 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331962.332 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540331962.332 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331962.332 * [misc]taylor: Taking taylor expansion of k in k 1540331962.332 * [misc]backup-simplify: Simplify 0 into 0 1540331962.332 * [misc]backup-simplify: Simplify 1 into 1 1540331962.333 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.333 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.333 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540331962.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.333 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540331962.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.334 * [misc]taylor: Taking taylor expansion of k in k 1540331962.334 * [misc]backup-simplify: Simplify 0 into 0 1540331962.334 * [misc]backup-simplify: Simplify 1 into 1 1540331962.334 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540331962.334 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540331962.334 * [misc]taylor: Taking taylor expansion of 2 in k 1540331962.334 * [misc]backup-simplify: Simplify 2 into 2 1540331962.334 * [misc]taylor: Taking taylor expansion of n in k 1540331962.334 * [misc]backup-simplify: Simplify n into n 1540331962.334 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540331962.334 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540331962.334 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540331962.334 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.334 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331962.335 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540331962.335 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540331962.335 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540331962.335 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540331962.335 * [misc]taylor: Taking taylor expansion of k in k 1540331962.335 * [misc]backup-simplify: Simplify 0 into 0 1540331962.335 * [misc]backup-simplify: Simplify 1 into 1 1540331962.337 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.337 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.338 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540331962.338 * [misc]taylor: Taking taylor expansion of 0 in n 1540331962.338 * [misc]backup-simplify: Simplify 0 into 0 1540331962.338 * [misc]backup-simplify: Simplify 0 into 0 1540331962.338 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540331962.339 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540331962.339 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540331962.339 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.340 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540331962.344 * [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)))) 1540331962.349 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1540331962.354 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1540331962.355 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540331962.355 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540331962.355 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331962.355 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331962.355 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540331962.355 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331962.355 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331962.355 * [misc]taylor: Taking taylor expansion of n in n 1540331962.355 * [misc]backup-simplify: Simplify 0 into 0 1540331962.355 * [misc]backup-simplify: Simplify 1 into 1 1540331962.355 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.355 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.356 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.356 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331962.356 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.356 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331962.356 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331962.357 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.357 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331962.358 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540331962.361 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.362 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.362 * [misc]backup-simplify: Simplify 0 into 0 1540331962.363 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331962.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540331962.373 * [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 1540331962.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540331962.374 * [misc]backup-simplify: Simplify (- 0) into 0 1540331962.374 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331962.374 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540331962.383 * [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))) 1540331962.467 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1540331962.556 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1540331962.556 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331962.556 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331962.556 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540331962.556 * [misc]taylor: Taking taylor expansion of 2 in n 1540331962.556 * [misc]backup-simplify: Simplify 2 into 2 1540331962.557 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540331962.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540331962.557 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540331962.557 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540331962.557 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540331962.557 * [misc]taylor: Taking taylor expansion of 2 in n 1540331962.557 * [misc]backup-simplify: Simplify 2 into 2 1540331962.557 * [misc]taylor: Taking taylor expansion of n in n 1540331962.557 * [misc]backup-simplify: Simplify 0 into 0 1540331962.557 * [misc]backup-simplify: Simplify 1 into 1 1540331962.557 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540331962.558 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540331962.558 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331962.558 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540331962.558 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331962.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.558 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331962.558 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331962.558 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331962.558 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331962.558 * [misc]taylor: Taking taylor expansion of n in n 1540331962.558 * [misc]backup-simplify: Simplify 0 into 0 1540331962.558 * [misc]backup-simplify: Simplify 1 into 1 1540331962.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.559 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.559 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.559 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540331962.560 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540331962.560 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331962.560 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331962.560 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540331962.560 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540331962.560 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540331962.560 * [misc]taylor: Taking taylor expansion of n in n 1540331962.560 * [misc]backup-simplify: Simplify 0 into 0 1540331962.560 * [misc]backup-simplify: Simplify 1 into 1 1540331962.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.560 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.561 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.561 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540331962.561 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.561 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.561 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540331962.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540331962.561 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331962.562 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540331962.567 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540331962.576 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1540331962.576 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540331962.577 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540331962.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540331962.580 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331962.581 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540331962.588 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540331962.596 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540331962.603 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540331962.813 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540331962.814 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.814 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540331962.815 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540331962.816 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.850 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1540331962.888 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540331962.906 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540331962.910 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540331962.910 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331962.911 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331962.923 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.924 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.925 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.926 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540331962.969 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540331962.970 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* 2 (/ 1 n)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540331962.970 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540331962.970 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331962.970 * [misc]taylor: Taking taylor expansion of k in n 1540331962.971 * [misc]backup-simplify: Simplify k into k 1540331962.971 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331962.971 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331962.971 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331962.971 * [misc]taylor: Taking taylor expansion of 2 in n 1540331962.971 * [misc]backup-simplify: Simplify 2 into 2 1540331962.971 * [misc]taylor: Taking taylor expansion of n in n 1540331962.971 * [misc]backup-simplify: Simplify 0 into 0 1540331962.971 * [misc]backup-simplify: Simplify 1 into 1 1540331962.971 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331962.976 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331962.976 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331962.976 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331962.976 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331962.977 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331962.977 * [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))) 1540331962.978 * [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)))) 1540331962.978 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331962.978 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540331962.978 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331962.978 * [misc]taylor: Taking taylor expansion of k in n 1540331962.978 * [misc]backup-simplify: Simplify k into k 1540331962.978 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331962.978 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540331962.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331962.979 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540331962.979 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.979 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.979 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.979 * [misc]taylor: Taking taylor expansion of k in k 1540331962.979 * [misc]backup-simplify: Simplify 0 into 0 1540331962.979 * [misc]backup-simplify: Simplify 1 into 1 1540331962.982 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.982 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331962.982 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331962.982 * [misc]taylor: Taking taylor expansion of 2 in k 1540331962.982 * [misc]backup-simplify: Simplify 2 into 2 1540331962.982 * [misc]taylor: Taking taylor expansion of n in k 1540331962.982 * [misc]backup-simplify: Simplify n into n 1540331962.982 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331962.983 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331962.983 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.983 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.983 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.983 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331962.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.984 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540331962.984 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331962.984 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.984 * [misc]taylor: Taking taylor expansion of k in k 1540331962.984 * [misc]backup-simplify: Simplify 0 into 0 1540331962.984 * [misc]backup-simplify: Simplify 1 into 1 1540331962.984 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.985 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.985 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.985 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331962.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.985 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.985 * [misc]taylor: Taking taylor expansion of k in k 1540331962.985 * [misc]backup-simplify: Simplify 0 into 0 1540331962.985 * [misc]backup-simplify: Simplify 1 into 1 1540331962.988 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.988 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540331962.988 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540331962.988 * [misc]taylor: Taking taylor expansion of 2 in k 1540331962.988 * [misc]backup-simplify: Simplify 2 into 2 1540331962.988 * [misc]taylor: Taking taylor expansion of n in k 1540331962.988 * [misc]backup-simplify: Simplify n into n 1540331962.989 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540331962.989 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540331962.989 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331962.989 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540331962.989 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540331962.989 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540331962.990 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540331962.990 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540331962.990 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540331962.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331962.990 * [misc]taylor: Taking taylor expansion of k in k 1540331962.990 * [misc]backup-simplify: Simplify 0 into 0 1540331962.990 * [misc]backup-simplify: Simplify 1 into 1 1540331962.990 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331962.990 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331962.991 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540331962.991 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540331962.991 * [misc]taylor: Taking taylor expansion of 0 in n 1540331962.991 * [misc]backup-simplify: Simplify 0 into 0 1540331962.991 * [misc]backup-simplify: Simplify 0 into 0 1540331962.992 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331962.992 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331962.992 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331962.993 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331962.993 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.993 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331962.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331962.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of k in n 1540331962.993 * [misc]backup-simplify: Simplify k into k 1540331962.993 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331962.993 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331962.993 * [misc]taylor: Taking taylor expansion of 2 in n 1540331962.993 * [misc]backup-simplify: Simplify 2 into 2 1540331962.993 * [misc]taylor: Taking taylor expansion of n in n 1540331962.993 * [misc]backup-simplify: Simplify 0 into 0 1540331962.993 * [misc]backup-simplify: Simplify 1 into 1 1540331962.994 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331962.994 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331962.994 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331962.994 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331962.994 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331962.995 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331962.995 * [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))) 1540331962.996 * [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)))) 1540331962.996 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331962.997 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331962.997 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331962.998 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331962.998 * [misc]backup-simplify: Simplify 0 into 0 1540331962.998 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540331963.000 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331963.000 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331963.001 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331963.001 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331963.001 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331963.001 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.001 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.001 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.001 * [misc]taylor: Taking taylor expansion of k in n 1540331963.001 * [misc]backup-simplify: Simplify k into k 1540331963.002 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.002 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331963.002 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331963.002 * [misc]taylor: Taking taylor expansion of 2 in n 1540331963.002 * [misc]backup-simplify: Simplify 2 into 2 1540331963.002 * [misc]taylor: Taking taylor expansion of n in n 1540331963.002 * [misc]backup-simplify: Simplify 0 into 0 1540331963.002 * [misc]backup-simplify: Simplify 1 into 1 1540331963.002 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331963.002 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331963.002 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.002 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331963.003 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331963.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331963.004 * [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))) 1540331963.004 * [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)))) 1540331963.005 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331963.005 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331963.006 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331963.006 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331963.007 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540331963.010 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540331963.010 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331963.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331963.010 * [misc]backup-simplify: Simplify (- 0) into 0 1540331963.011 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331963.014 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331963.015 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540331963.016 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331963.017 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1540331963.018 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540331963.018 * [misc]backup-simplify: Simplify (- 0) into 0 1540331963.018 * [misc]backup-simplify: Simplify 0 into 0 1540331963.018 * [misc]backup-simplify: Simplify 0 into 0 1540331963.019 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331963.034 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331963.035 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540331963.036 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540331963.036 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331963.036 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331963.036 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.036 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.036 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.036 * [misc]taylor: Taking taylor expansion of k in n 1540331963.036 * [misc]backup-simplify: Simplify k into k 1540331963.036 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.037 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540331963.037 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540331963.037 * [misc]taylor: Taking taylor expansion of 2 in n 1540331963.037 * [misc]backup-simplify: Simplify 2 into 2 1540331963.037 * [misc]taylor: Taking taylor expansion of n in n 1540331963.037 * [misc]backup-simplify: Simplify 0 into 0 1540331963.037 * [misc]backup-simplify: Simplify 1 into 1 1540331963.037 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540331963.075 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540331963.076 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.076 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540331963.076 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540331963.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540331963.077 * [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))) 1540331963.077 * [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)))) 1540331963.078 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331963.078 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540331963.079 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331963.091 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540331963.094 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540331963.094 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* 2 (/ 1 (- n))) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331963.094 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540331963.094 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331963.094 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of -1 in n 1540331963.095 * [misc]backup-simplify: Simplify -1 into -1 1540331963.095 * [misc]taylor: Taking taylor expansion of k in n 1540331963.095 * [misc]backup-simplify: Simplify k into k 1540331963.095 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540331963.095 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540331963.095 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540331963.095 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540331963.095 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.095 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.095 * [misc]taylor: Taking taylor expansion of k in n 1540331963.095 * [misc]backup-simplify: Simplify k into k 1540331963.095 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.096 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331963.096 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331963.096 * [misc]taylor: Taking taylor expansion of -2 in n 1540331963.096 * [misc]backup-simplify: Simplify -2 into -2 1540331963.096 * [misc]taylor: Taking taylor expansion of n in n 1540331963.096 * [misc]backup-simplify: Simplify 0 into 0 1540331963.096 * [misc]backup-simplify: Simplify 1 into 1 1540331963.096 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331963.096 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331963.096 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.096 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331963.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331963.097 * [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))) 1540331963.098 * [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)))) 1540331963.098 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331963.098 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331963.098 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331963.098 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331963.098 * [misc]taylor: Taking taylor expansion of -1 in k 1540331963.098 * [misc]backup-simplify: Simplify -1 into -1 1540331963.098 * [misc]taylor: Taking taylor expansion of k in k 1540331963.098 * [misc]backup-simplify: Simplify 0 into 0 1540331963.098 * [misc]backup-simplify: Simplify 1 into 1 1540331963.098 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331963.099 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331963.099 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331963.099 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331963.099 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331963.105 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331963.105 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331963.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331963.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331963.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.106 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331963.106 * [misc]taylor: Taking taylor expansion of k in k 1540331963.106 * [misc]backup-simplify: Simplify 0 into 0 1540331963.106 * [misc]backup-simplify: Simplify 1 into 1 1540331963.106 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331963.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331963.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.106 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331963.106 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331963.106 * [misc]taylor: Taking taylor expansion of -2 in k 1540331963.106 * [misc]backup-simplify: Simplify -2 into -2 1540331963.106 * [misc]taylor: Taking taylor expansion of n in k 1540331963.106 * [misc]backup-simplify: Simplify n into n 1540331963.106 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331963.106 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331963.107 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331963.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331963.107 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331963.107 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331963.107 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331963.107 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540331963.107 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540331963.107 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540331963.107 * [misc]taylor: Taking taylor expansion of -1 in k 1540331963.108 * [misc]backup-simplify: Simplify -1 into -1 1540331963.108 * [misc]taylor: Taking taylor expansion of k in k 1540331963.108 * [misc]backup-simplify: Simplify 0 into 0 1540331963.108 * [misc]backup-simplify: Simplify 1 into 1 1540331963.108 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540331963.108 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540331963.108 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540331963.109 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331963.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of k in k 1540331963.109 * [misc]backup-simplify: Simplify 0 into 0 1540331963.109 * [misc]backup-simplify: Simplify 1 into 1 1540331963.109 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540331963.109 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540331963.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.109 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540331963.109 * [misc]taylor: Taking taylor expansion of -2 in k 1540331963.109 * [misc]backup-simplify: Simplify -2 into -2 1540331963.109 * [misc]taylor: Taking taylor expansion of n in k 1540331963.109 * [misc]backup-simplify: Simplify n into n 1540331963.109 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540331963.109 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540331963.110 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540331963.110 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540331963.110 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540331963.110 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540331963.110 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540331963.110 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331963.110 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331963.110 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331963.110 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of k in n 1540331963.111 * [misc]backup-simplify: Simplify k into k 1540331963.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.111 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331963.111 * [misc]taylor: Taking taylor expansion of -2 in n 1540331963.111 * [misc]backup-simplify: Simplify -2 into -2 1540331963.111 * [misc]taylor: Taking taylor expansion of n in n 1540331963.111 * [misc]backup-simplify: Simplify 0 into 0 1540331963.111 * [misc]backup-simplify: Simplify 1 into 1 1540331963.112 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331963.113 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331963.113 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.113 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331963.113 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331963.114 * [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))) 1540331963.114 * [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)))) 1540331963.114 * [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))))) 1540331963.115 * [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))))) 1540331963.115 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540331963.116 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540331963.117 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331963.117 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331963.117 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331963.117 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.117 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.117 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.117 * [misc]taylor: Taking taylor expansion of k in n 1540331963.117 * [misc]backup-simplify: Simplify k into k 1540331963.118 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.118 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.118 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331963.118 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331963.118 * [misc]taylor: Taking taylor expansion of -2 in n 1540331963.118 * [misc]backup-simplify: Simplify -2 into -2 1540331963.118 * [misc]taylor: Taking taylor expansion of n in n 1540331963.118 * [misc]backup-simplify: Simplify 0 into 0 1540331963.118 * [misc]backup-simplify: Simplify 1 into 1 1540331963.118 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331963.118 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331963.118 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.118 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331963.119 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331963.119 * [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))) 1540331963.121 * [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)))) 1540331963.122 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331963.122 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331963.123 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331963.123 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331963.124 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540331963.129 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540331963.129 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540331963.129 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540331963.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540331963.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331963.130 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540331963.142 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540331963.144 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1540331963.144 * [misc]backup-simplify: Simplify 0 into 0 1540331963.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540331963.146 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540331963.147 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540331963.147 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540331963.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540331963.147 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540331963.147 * [misc]taylor: Taking taylor expansion of k in n 1540331963.147 * [misc]backup-simplify: Simplify k into k 1540331963.148 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540331963.148 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540331963.148 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540331963.148 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540331963.148 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540331963.148 * [misc]taylor: Taking taylor expansion of -2 in n 1540331963.148 * [misc]backup-simplify: Simplify -2 into -2 1540331963.148 * [misc]taylor: Taking taylor expansion of n in n 1540331963.148 * [misc]backup-simplify: Simplify 0 into 0 1540331963.148 * [misc]backup-simplify: Simplify 1 into 1 1540331963.148 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540331963.148 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540331963.148 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540331963.148 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540331963.149 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540331963.149 * [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))) 1540331963.150 * [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)))) 1540331963.150 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331963.150 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540331963.151 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331963.151 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540331963.153 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540331963.166 * * * [misc]progress: simplifying candidates 1540331963.166 * * * * [misc]progress: [ 1 / 107 ] simplifiying candidate # 1540331963.181 * * * * [misc]progress: [ 2 / 107 ] simplifiying candidate # 1540331963.181 * * * * [misc]progress: [ 3 / 107 ] simplifiying candidate # 1540331963.184 * [enter]simplify: Simplifying (* (log (* 2 n)) (- 1/2 (/ k 2))) 1540331963.188 * * [misc]simplify: iters left: 6 (9 enodes) 1540331963.336 * * [misc]simplify: iters left: 5 (16 enodes) 1540331963.370 * * [misc]simplify: iters left: 4 (32 enodes) 1540331963.758 * * [misc]simplify: iters left: 3 (72 enodes) 1540331963.936 * * [misc]simplify: iters left: 2 (195 enodes) 1540331964.871 * * [misc]simplify: iters left: 1 (418 enodes) 1540331965.640 * [exit]simplify: Simplified to (* (log (* 2 n)) (- 1/2 (/ k 2))) 1540331965.641 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* 2 n)) (- 1/2 (/ k 2)))))))) 1540331965.647 * * * * [misc]progress: [ 4 / 107 ] simplifiying candidate # 1540331965.648 * * * * [misc]progress: [ 5 / 107 ] simplifiying candidate # 1540331965.648 * [enter]simplify: Simplifying (* 2 n) 1540331965.650 * * [misc]simplify: iters left: 2 (3 enodes) 1540331965.651 * * [misc]simplify: iters left: 1 (4 enodes) 1540331965.652 * [exit]simplify: Simplified to (* 2 n) 1540331965.652 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (* 1 (- 1/2 (/ k 2)))))))) 1540331965.652 * * * * [misc]progress: [ 6 / 107 ] simplifiying candidate # 1540331965.653 * [enter]simplify: Simplifying (pow (* 2 n) (/ k 2)) 1540331965.653 * * [misc]simplify: iters left: 3 (6 enodes) 1540331965.660 * * [misc]simplify: iters left: 2 (7 enodes) 1540331965.662 * [exit]simplify: Simplified to (pow (* 2 n) (/ k 2)) 1540331965.662 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* 2 n) 1/2) (pow (* 2 n) (/ k 2))))))) 1540331965.662 * * * * [misc]progress: [ 7 / 107 ] simplifiying candidate # 1540331965.667 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331965.668 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.670 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.681 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.685 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331965.685 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1540331965.685 * * * * [misc]progress: [ 8 / 107 ] simplifiying candidate # 1540331965.686 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331965.696 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.698 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.711 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.715 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331965.715 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1540331965.716 * * * * [misc]progress: [ 9 / 107 ] simplifiying candidate # 1540331965.716 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331965.716 * * [misc]simplify: iters left: 4 (5 enodes) 1540331965.718 * * [misc]simplify: iters left: 3 (7 enodes) 1540331965.731 * * [misc]simplify: iters left: 2 (10 enodes) 1540331965.735 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331965.735 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* 2 n) 1) (- 1/2 (/ k 2))))))) 1540331965.735 * * * * [misc]progress: [ 10 / 107 ] simplifiying candidate # 1540331965.735 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540331965.737 * * [misc]simplify: iters left: 5 (7 enodes) 1540331965.742 * * [misc]simplify: iters left: 4 (10 enodes) 1540331965.746 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540331965.746 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) 1/2) (pow (* 2 n) (/ (- k) 2))))))) 1540331965.747 * * * * [misc]progress: [ 11 / 107 ] simplifiying candidate # 1540331965.748 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540331965.749 * * [misc]simplify: iters left: 5 (7 enodes) 1540331965.757 * * [misc]simplify: iters left: 4 (10 enodes) 1540331965.761 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540331965.761 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) 1/2) (pow (* 2 n) (/ (- k) 2))))))) 1540331965.761 * * * * [misc]progress: [ 12 / 107 ] simplifiying candidate # 1540331965.761 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540331965.761 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.764 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.768 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.774 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540331965.774 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))))) 1540331965.774 * * * * [misc]progress: [ 13 / 107 ] simplifiying candidate # 1540331965.774 * * * * [misc]progress: [ 14 / 107 ] simplifiying candidate # 1540331965.774 * * * * [misc]progress: [ 15 / 107 ] simplifiying candidate # 1540331965.775 * * * * [misc]progress: [ 16 / 107 ] simplifiying candidate # 1540331965.775 * * * * [misc]progress: [ 17 / 107 ] simplifiying candidate # 1540331965.775 * * * * [misc]progress: [ 18 / 107 ] simplifiying candidate # 1540331965.775 * * * * [misc]progress: [ 19 / 107 ] simplifiying candidate # 1540331965.776 * * * * [misc]progress: [ 20 / 107 ] simplifiying candidate # 1540331965.783 * * * * [misc]progress: [ 21 / 107 ] simplifiying candidate # 1540331965.783 * * * * [misc]progress: [ 22 / 107 ] simplifiying candidate # 1540331965.783 * * * * [misc]progress: [ 23 / 107 ] simplifiying candidate # 1540331965.783 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540331965.784 * * [misc]simplify: iters left: 3 (5 enodes) 1540331965.785 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540331965.785 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.785 * * * * [misc]progress: [ 24 / 107 ] simplifiying candidate # 1540331965.785 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331965.786 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.789 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.791 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.794 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331965.794 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.794 * * * * [misc]progress: [ 25 / 107 ] simplifiying candidate # 1540331965.794 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331965.795 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.797 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.799 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.801 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331965.801 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.801 * * * * [misc]progress: [ 26 / 107 ] simplifiying candidate # 1540331965.801 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331965.802 * * [misc]simplify: iters left: 4 (5 enodes) 1540331965.804 * * [misc]simplify: iters left: 3 (7 enodes) 1540331965.807 * * [misc]simplify: iters left: 2 (10 enodes) 1540331965.810 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331965.810 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.810 * * * * [misc]progress: [ 27 / 107 ] simplifiying candidate # 1540331965.811 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331965.811 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.814 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.817 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331965.817 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.817 * * * * [misc]progress: [ 28 / 107 ] simplifiying candidate # 1540331965.819 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331965.820 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.823 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.826 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331965.826 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.826 * * * * [misc]progress: [ 29 / 107 ] simplifiying candidate # 1540331965.826 * * * * [misc]progress: [ 30 / 107 ] simplifiying candidate # 1540331965.826 * * * * [misc]progress: [ 31 / 107 ] simplifiying candidate # 1540331965.826 * * * * [misc]progress: [ 32 / 107 ] simplifiying candidate # 1540331965.826 * * * * [misc]progress: [ 33 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 34 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 35 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 36 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 37 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 38 / 107 ] simplifiying candidate # 1540331965.827 * * * * [misc]progress: [ 39 / 107 ] simplifiying candidate # 1540331965.827 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540331965.828 * * [misc]simplify: iters left: 3 (5 enodes) 1540331965.829 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540331965.830 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.830 * * * * [misc]progress: [ 40 / 107 ] simplifiying candidate # 1540331965.830 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540331965.830 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.833 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.836 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.840 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540331965.840 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.840 * * * * [misc]progress: [ 41 / 107 ] simplifiying candidate # 1540331965.848 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540331965.861 * * [misc]simplify: iters left: 5 (6 enodes) 1540331965.864 * * [misc]simplify: iters left: 4 (8 enodes) 1540331965.868 * * [misc]simplify: iters left: 3 (11 enodes) 1540331965.872 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540331965.872 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.872 * * * * [misc]progress: [ 42 / 107 ] simplifiying candidate # 1540331965.872 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540331965.879 * * [misc]simplify: iters left: 4 (5 enodes) 1540331965.882 * * [misc]simplify: iters left: 3 (7 enodes) 1540331965.885 * * [misc]simplify: iters left: 2 (10 enodes) 1540331965.889 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540331965.889 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331965.889 * * * * [misc]progress: [ 43 / 107 ] simplifiying candidate # 1540331965.889 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331966.060 * * [misc]simplify: iters left: 5 (6 enodes) 1540331966.062 * * [misc]simplify: iters left: 4 (8 enodes) 1540331966.063 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331966.064 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331966.064 * * * * [misc]progress: [ 44 / 107 ] simplifiying candidate # 1540331966.064 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540331966.065 * * [misc]simplify: iters left: 5 (6 enodes) 1540331966.066 * * [misc]simplify: iters left: 4 (8 enodes) 1540331966.068 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540331966.068 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331966.068 * * * * [misc]progress: [ 45 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 46 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 47 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 48 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 49 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 50 / 107 ] simplifiying candidate # 1540331966.068 * * * * [misc]progress: [ 51 / 107 ] simplifiying candidate # 1540331966.069 * * * * [misc]progress: [ 52 / 107 ] simplifiying candidate # 1540331966.069 * * * * [misc]progress: [ 53 / 107 ] simplifiying candidate # 1540331966.069 * * * * [misc]progress: [ 54 / 107 ] simplifiying candidate # 1540331966.069 * * * * [misc]progress: [ 55 / 107 ] simplifiying candidate # 1540331966.071 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))) 1540331966.072 * * [misc]simplify: iters left: 6 (12 enodes) 1540331966.085 * * [misc]simplify: iters left: 5 (21 enodes) 1540331966.099 * * [misc]simplify: iters left: 4 (44 enodes) 1540331966.133 * * [misc]simplify: iters left: 3 (133 enodes) 1540331966.281 * * [misc]simplify: iters left: 2 (379 enodes) 1540331966.714 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k))) 1540331966.716 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k))))))) 1540331966.716 * * * * [misc]progress: [ 56 / 107 ] simplifiying candidate # 1540331966.716 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* 2 n)) (- 1/2 (/ k 2)))) 1540331966.718 * * [misc]simplify: iters left: 6 (12 enodes) 1540331966.749 * * [misc]simplify: iters left: 5 (21 enodes) 1540331966.770 * * [misc]simplify: iters left: 4 (44 enodes) 1540331966.805 * * [misc]simplify: iters left: 3 (133 enodes) 1540331966.941 * * [misc]simplify: iters left: 2 (379 enodes) 1540331967.405 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k))) 1540331967.406 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k))))))) 1540331967.411 * * * * [misc]progress: [ 57 / 107 ] simplifiying candidate # 1540331967.416 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331967.418 * * [misc]simplify: iters left: 6 (12 enodes) 1540331967.422 * * [misc]simplify: iters left: 5 (19 enodes) 1540331967.431 * * [misc]simplify: iters left: 4 (32 enodes) 1540331967.449 * * [misc]simplify: iters left: 3 (69 enodes) 1540331967.520 * * [misc]simplify: iters left: 2 (208 enodes) 1540331967.861 * [exit]simplify: Simplified to (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1540331967.861 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (exp (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k))))))) 1540331967.861 * * * * [misc]progress: [ 58 / 107 ] simplifiying candidate # 1540331967.861 * * * * [misc]progress: [ 59 / 107 ] simplifiying candidate # 1540331967.861 * * * * [misc]progress: [ 60 / 107 ] simplifiying candidate # 1540331967.862 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331967.864 * * [misc]simplify: iters left: 6 (14 enodes) 1540331967.875 * * [misc]simplify: iters left: 5 (26 enodes) 1540331967.890 * * [misc]simplify: iters left: 4 (58 enodes) 1540331967.923 * * [misc]simplify: iters left: 3 (117 enodes) 1540331967.983 * * [misc]simplify: iters left: 2 (193 enodes) 1540331968.113 * * [misc]simplify: iters left: 1 (263 enodes) 1540331968.316 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.316 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.316 * * * * [misc]progress: [ 61 / 107 ] simplifiying candidate # 1540331968.316 * * * * [misc]progress: [ 62 / 107 ] simplifiying candidate # 1540331968.316 * * * * [misc]progress: [ 63 / 107 ] simplifiying candidate # 1540331968.316 * * * * [misc]progress: [ 64 / 107 ] simplifiying candidate # 1540331968.316 * * * * [misc]progress: [ 65 / 107 ] simplifiying candidate # 1540331968.332 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) 1/2)) 1540331968.343 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.348 * * [misc]simplify: iters left: 5 (14 enodes) 1540331968.353 * * [misc]simplify: iters left: 4 (16 enodes) 1540331968.358 * * [misc]simplify: iters left: 3 (17 enodes) 1540331968.365 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) 1540331968.365 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.365 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.371 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.375 * * [misc]simplify: iters left: 5 (13 enodes) 1540331968.381 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.381 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.381 * * * * [misc]progress: [ 66 / 107 ] simplifiying candidate # 1540331968.381 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2 n) 1/2)) 1540331968.383 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.390 * * [misc]simplify: iters left: 5 (14 enodes) 1540331968.395 * * [misc]simplify: iters left: 4 (16 enodes) 1540331968.401 * * [misc]simplify: iters left: 3 (17 enodes) 1540331968.405 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) 1540331968.405 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.406 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.407 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.411 * * [misc]simplify: iters left: 5 (13 enodes) 1540331968.416 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.416 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.416 * * * * [misc]progress: [ 67 / 107 ] simplifiying candidate # 1540331968.417 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331968.418 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.422 * * [misc]simplify: iters left: 5 (14 enodes) 1540331968.427 * * [misc]simplify: iters left: 4 (19 enodes) 1540331968.433 * * [misc]simplify: iters left: 3 (20 enodes) 1540331968.440 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540331968.440 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540331968.441 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331968.442 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.457 * * [misc]simplify: iters left: 5 (12 enodes) 1540331968.462 * * [misc]simplify: iters left: 4 (15 enodes) 1540331968.468 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331968.468 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540331968.468 * * * * [misc]progress: [ 68 / 107 ] simplifiying candidate # 1540331968.468 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331968.470 * * [misc]simplify: iters left: 6 (14 enodes) 1540331968.476 * * [misc]simplify: iters left: 5 (23 enodes) 1540331968.486 * * [misc]simplify: iters left: 4 (35 enodes) 1540331968.497 * * [misc]simplify: iters left: 3 (38 enodes) 1540331968.509 * * [misc]simplify: iters left: 2 (41 enodes) 1540331968.526 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331968.527 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.527 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.528 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.533 * * [misc]simplify: iters left: 5 (15 enodes) 1540331968.539 * * [misc]simplify: iters left: 4 (18 enodes) 1540331968.546 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.546 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.546 * * * * [misc]progress: [ 69 / 107 ] simplifiying candidate # 1540331968.547 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.550 * * [misc]simplify: iters left: 6 (13 enodes) 1540331968.556 * * [misc]simplify: iters left: 5 (18 enodes) 1540331968.562 * * [misc]simplify: iters left: 4 (23 enodes) 1540331968.570 * * [misc]simplify: iters left: 3 (24 enodes) 1540331968.579 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.579 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.579 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.581 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.585 * * [misc]simplify: iters left: 5 (15 enodes) 1540331968.589 * * [misc]simplify: iters left: 4 (18 enodes) 1540331968.596 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.596 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.596 * * * * [misc]progress: [ 70 / 107 ] simplifiying candidate # 1540331968.596 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540331968.612 * * [misc]simplify: iters left: 6 (6 enodes) 1540331968.615 * * [misc]simplify: iters left: 5 (10 enodes) 1540331968.625 * * [misc]simplify: iters left: 4 (16 enodes) 1540331968.630 * * [misc]simplify: iters left: 3 (18 enodes) 1540331968.635 * * [misc]simplify: iters left: 2 (23 enodes) 1540331968.642 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331968.642 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331968.642 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331968.643 * * [misc]simplify: iters left: 6 (11 enodes) 1540331968.647 * * [misc]simplify: iters left: 5 (14 enodes) 1540331968.652 * * [misc]simplify: iters left: 4 (17 enodes) 1540331968.658 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331968.658 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331968.659 * * * * [misc]progress: [ 71 / 107 ] simplifiying candidate # 1540331968.659 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) 1/2)) 1540331968.660 * * [misc]simplify: iters left: 5 (9 enodes) 1540331968.663 * * [misc]simplify: iters left: 4 (11 enodes) 1540331968.667 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1540331968.667 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.667 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.669 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.673 * * [misc]simplify: iters left: 5 (13 enodes) 1540331968.678 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.678 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.678 * * * * [misc]progress: [ 72 / 107 ] simplifiying candidate # 1540331968.679 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) 1/2)) 1540331968.683 * * [misc]simplify: iters left: 5 (9 enodes) 1540331968.687 * * [misc]simplify: iters left: 4 (11 enodes) 1540331968.691 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1540331968.691 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.699 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.700 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.704 * * [misc]simplify: iters left: 5 (13 enodes) 1540331968.716 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))) 1540331968.716 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.716 * * * * [misc]progress: [ 73 / 107 ] simplifiying candidate # 1540331968.716 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331968.717 * * [misc]simplify: iters left: 6 (9 enodes) 1540331968.727 * * [misc]simplify: iters left: 5 (11 enodes) 1540331968.737 * * [misc]simplify: iters left: 4 (14 enodes) 1540331968.742 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540331968.742 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540331968.742 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331968.744 * * [misc]simplify: iters left: 6 (10 enodes) 1540331968.755 * * [misc]simplify: iters left: 5 (12 enodes) 1540331968.764 * * [misc]simplify: iters left: 4 (15 enodes) 1540331968.775 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540331968.775 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540331968.775 * * * * [misc]progress: [ 74 / 107 ] simplifiying candidate # 1540331968.776 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331968.777 * * [misc]simplify: iters left: 6 (13 enodes) 1540331968.788 * * [misc]simplify: iters left: 5 (18 enodes) 1540331968.808 * * [misc]simplify: iters left: 4 (21 enodes) 1540331968.821 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331968.821 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.821 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.823 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.828 * * [misc]simplify: iters left: 5 (15 enodes) 1540331968.836 * * [misc]simplify: iters left: 4 (18 enodes) 1540331968.843 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.843 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.843 * * * * [misc]progress: [ 75 / 107 ] simplifiying candidate # 1540331968.843 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.844 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.849 * * [misc]simplify: iters left: 5 (15 enodes) 1540331968.855 * * [misc]simplify: iters left: 4 (18 enodes) 1540331968.862 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.862 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.862 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.863 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.868 * * [misc]simplify: iters left: 5 (15 enodes) 1540331968.874 * * [misc]simplify: iters left: 4 (18 enodes) 1540331968.881 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.881 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.881 * * * * [misc]progress: [ 76 / 107 ] simplifiying candidate # 1540331968.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540331968.883 * * [misc]simplify: iters left: 4 (5 enodes) 1540331968.885 * * [misc]simplify: iters left: 3 (7 enodes) 1540331968.889 * * [misc]simplify: iters left: 2 (9 enodes) 1540331968.891 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331968.891 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331968.891 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331968.892 * * [misc]simplify: iters left: 6 (11 enodes) 1540331968.897 * * [misc]simplify: iters left: 5 (14 enodes) 1540331968.902 * * [misc]simplify: iters left: 4 (17 enodes) 1540331968.908 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331968.908 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331968.908 * * * * [misc]progress: [ 77 / 107 ] simplifiying candidate # 1540331968.909 * [enter]simplify: Simplifying (/ 1 (pow (* 2 n) 1/2)) 1540331968.909 * * [misc]simplify: iters left: 5 (7 enodes) 1540331968.912 * * [misc]simplify: iters left: 4 (11 enodes) 1540331968.916 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1540331968.916 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.916 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540331968.917 * * [misc]simplify: iters left: 6 (9 enodes) 1540331968.921 * * [misc]simplify: iters left: 5 (12 enodes) 1540331968.925 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540331968.925 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.926 * * * * [misc]progress: [ 78 / 107 ] simplifiying candidate # 1540331968.926 * [enter]simplify: Simplifying (/ 1 (pow (* 2 n) 1/2)) 1540331968.929 * * [misc]simplify: iters left: 5 (7 enodes) 1540331968.932 * * [misc]simplify: iters left: 4 (11 enodes) 1540331968.936 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1540331968.936 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.936 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540331968.937 * * [misc]simplify: iters left: 6 (9 enodes) 1540331968.939 * * [misc]simplify: iters left: 5 (12 enodes) 1540331968.943 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))) 1540331968.944 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* n 2))) (/ (sqrt k) (pow (* 2 n) (- (/ k 2)))))))) 1540331968.944 * * * * [misc]progress: [ 79 / 107 ] simplifiying candidate # 1540331968.944 * [enter]simplify: Simplifying (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1540331968.945 * * [misc]simplify: iters left: 6 (8 enodes) 1540331968.947 * * [misc]simplify: iters left: 5 (12 enodes) 1540331968.952 * * [misc]simplify: iters left: 4 (15 enodes) 1540331968.956 * [exit]simplify: Simplified to (/ 1 (pow 2 (- 1/2 (/ k 2)))) 1540331968.956 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))))) 1540331968.957 * [enter]simplify: Simplifying (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 1540331968.957 * * [misc]simplify: iters left: 6 (9 enodes) 1540331968.961 * * [misc]simplify: iters left: 5 (11 enodes) 1540331968.965 * * [misc]simplify: iters left: 4 (14 enodes) 1540331968.970 * [exit]simplify: Simplified to (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) 1540331968.970 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))))) 1540331968.970 * * * * [misc]progress: [ 80 / 107 ] simplifiying candidate # 1540331968.971 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540331968.973 * * [misc]simplify: iters left: 6 (12 enodes) 1540331968.978 * * [misc]simplify: iters left: 5 (19 enodes) 1540331968.990 * * [misc]simplify: iters left: 4 (22 enodes) 1540331968.998 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331968.998 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331968.998 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331968.999 * * [misc]simplify: iters left: 6 (11 enodes) 1540331969.004 * * [misc]simplify: iters left: 5 (14 enodes) 1540331969.010 * * [misc]simplify: iters left: 4 (17 enodes) 1540331969.016 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331969.016 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331969.016 * * * * [misc]progress: [ 81 / 107 ] simplifiying candidate # 1540331969.018 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331969.019 * * [misc]simplify: iters left: 6 (11 enodes) 1540331969.024 * * [misc]simplify: iters left: 5 (16 enodes) 1540331969.029 * * [misc]simplify: iters left: 4 (19 enodes) 1540331969.036 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540331969.036 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331969.036 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331969.038 * * [misc]simplify: iters left: 6 (11 enodes) 1540331969.043 * * [misc]simplify: iters left: 5 (14 enodes) 1540331969.048 * * [misc]simplify: iters left: 4 (17 enodes) 1540331969.054 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540331969.054 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1540331969.054 * * * * [misc]progress: [ 82 / 107 ] simplifiying candidate # 1540331969.055 * [enter]simplify: Simplifying (/ 1 1) 1540331969.055 * * [misc]simplify: iters left: 2 (2 enodes) 1540331969.056 * * [misc]simplify: iters left: 1 (4 enodes) 1540331969.057 * [exit]simplify: Simplified to 1 1540331969.057 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331969.057 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.059 * * [misc]simplify: iters left: 6 (10 enodes) 1540331969.063 * * [misc]simplify: iters left: 5 (13 enodes) 1540331969.068 * * [misc]simplify: iters left: 4 (16 enodes) 1540331969.074 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.074 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331969.074 * * * * [misc]progress: [ 83 / 107 ] simplifiying candidate # 1540331969.075 * * * * [misc]progress: [ 84 / 107 ] simplifiying candidate # 1540331969.075 * * * * [misc]progress: [ 85 / 107 ] simplifiying candidate # 1540331969.075 * * * * [misc]progress: [ 86 / 107 ] simplifiying candidate # 1540331969.077 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540331969.077 * * [misc]simplify: iters left: 5 (7 enodes) 1540331969.079 * * [misc]simplify: iters left: 4 (10 enodes) 1540331969.083 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540331969.083 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ (- k) 2)))))) 1540331969.083 * * * * [misc]progress: [ 87 / 107 ] simplifiying candidate # 1540331969.084 * [enter]simplify: Simplifying (pow (* 2 n) (- (/ k 2))) 1540331969.087 * * [misc]simplify: iters left: 5 (7 enodes) 1540331969.090 * * [misc]simplify: iters left: 4 (10 enodes) 1540331969.095 * [exit]simplify: Simplified to (pow (* 2 n) (/ (- k) 2)) 1540331969.095 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ (- k) 2)))))) 1540331969.095 * * * * [misc]progress: [ 88 / 107 ] simplifiying candidate # 1540331969.096 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540331969.103 * * [misc]simplify: iters left: 5 (7 enodes) 1540331969.106 * * [misc]simplify: iters left: 4 (9 enodes) 1540331969.110 * * [misc]simplify: iters left: 3 (12 enodes) 1540331969.114 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540331969.114 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))))) 1540331969.114 * * * * [misc]progress: [ 89 / 107 ] simplifiying candidate # 1540331969.115 * [enter]simplify: Simplifying (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.118 * * [misc]simplify: iters left: 6 (9 enodes) 1540331969.122 * * [misc]simplify: iters left: 5 (12 enodes) 1540331969.133 * * [misc]simplify: iters left: 4 (15 enodes) 1540331969.139 * [exit]simplify: Simplified to (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.139 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331969.139 * * * * [misc]progress: [ 90 / 107 ] simplifiying candidate # 1540331969.139 * [enter]simplify: Simplifying (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.143 * * [misc]simplify: iters left: 6 (9 enodes) 1540331969.145 * * [misc]simplify: iters left: 5 (12 enodes) 1540331969.147 * * [misc]simplify: iters left: 4 (15 enodes) 1540331969.151 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540331969.152 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540331969.152 * * * * [misc]progress: [ 91 / 107 ] simplifiying candidate # 1540331969.152 * [enter]simplify: Simplifying (pow (* 2 n) (- 1/2 (/ k 2))) 1540331969.167 * * [misc]simplify: iters left: 5 (8 enodes) 1540331969.170 * * [misc]simplify: iters left: 4 (11 enodes) 1540331969.174 * * [misc]simplify: iters left: 3 (14 enodes) 1540331969.178 * [exit]simplify: Simplified to (pow (* 2 n) (- 1/2 (/ k 2))) 1540331969.178 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331969.178 * * * * [misc]progress: [ 92 / 107 ] simplifiying candidate # 1540331969.178 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331969.179 * * [misc]simplify: iters left: 4 (4 enodes) 1540331969.180 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540331969.180 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1540331969.180 * * * * [misc]progress: [ 93 / 107 ] simplifiying candidate # 1540331969.180 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540331969.181 * * [misc]simplify: iters left: 2 (3 enodes) 1540331969.182 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540331969.182 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1540331969.182 * * * * [misc]progress: [ 94 / 107 ] simplifiying candidate # 1540331969.182 * * * * [misc]progress: [ 95 / 107 ] simplifiying candidate # 1540331969.182 * [enter]simplify: Simplifying (pow (* 2 n) (/ k 2)) 1540331969.183 * * [misc]simplify: iters left: 3 (6 enodes) 1540331969.185 * * [misc]simplify: iters left: 2 (7 enodes) 1540331969.187 * [exit]simplify: Simplified to (pow (* 2 n) (/ k 2)) 1540331969.187 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* 2 n) 1/2)) (pow (* 2 n) (/ k 2)))))) 1540331969.187 * * * * [misc]progress: [ 96 / 107 ] simplifiying candidate # 1540331969.187 * [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))))) 1540331969.191 * * [misc]simplify: iters left: 6 (35 enodes) 1540331969.214 * * [misc]simplify: iters left: 5 (102 enodes) 1540331969.281 * * [misc]simplify: iters left: 4 (321 enodes) 1540331970.219 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1540331970.219 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))))))) 1540331970.220 * * * * [misc]progress: [ 97 / 107 ] simplifiying candidate # 1540331970.220 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540331970.230 * * [misc]simplify: iters left: 6 (13 enodes) 1540331970.267 * * [misc]simplify: iters left: 5 (27 enodes) 1540331970.330 * * [misc]simplify: iters left: 4 (53 enodes) 1540331970.785 * * [misc]simplify: iters left: 3 (124 enodes) 1540331971.205 * * [misc]simplify: iters left: 2 (394 enodes) 1540331973.506 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1540331973.506 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2)))))) 1540331973.506 * * * * [misc]progress: [ 98 / 107 ] simplifiying candidate # 1540331973.507 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540331973.508 * * [misc]simplify: iters left: 6 (13 enodes) 1540331973.516 * * [misc]simplify: iters left: 5 (24 enodes) 1540331973.531 * * [misc]simplify: iters left: 4 (54 enodes) 1540331973.570 * * [misc]simplify: iters left: 3 (151 enodes) 1540331973.780 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1540331973.780 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))))))) 1540331973.780 * * * * [misc]progress: [ 99 / 107 ] simplifiying candidate # 1540331973.780 * [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)))) 1540331973.782 * * [misc]simplify: iters left: 6 (18 enodes) 1540331973.797 * * [misc]simplify: iters left: 5 (39 enodes) 1540331973.824 * * [misc]simplify: iters left: 4 (110 enodes) 1540331973.906 * * [misc]simplify: iters left: 3 (321 enodes) 1540331976.311 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1540331976.327 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331976.350 * * * * [misc]progress: [ 100 / 107 ] simplifiying candidate # 1540331976.383 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331976.429 * * [misc]simplify: iters left: 5 (6 enodes) 1540331976.433 * * [misc]simplify: iters left: 4 (9 enodes) 1540331976.708 * * [misc]simplify: iters left: 3 (17 enodes) 1540331976.721 * * [misc]simplify: iters left: 2 (24 enodes) 1540331976.736 * * [misc]simplify: iters left: 1 (28 enodes) 1540331976.769 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331976.769 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331976.769 * * * * [misc]progress: [ 101 / 107 ] simplifiying candidate # 1540331976.769 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331976.770 * * [misc]simplify: iters left: 5 (6 enodes) 1540331976.787 * * [misc]simplify: iters left: 4 (9 enodes) 1540331976.793 * * [misc]simplify: iters left: 3 (17 enodes) 1540331976.804 * * [misc]simplify: iters left: 2 (24 enodes) 1540331976.815 * * [misc]simplify: iters left: 1 (28 enodes) 1540331976.968 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331976.968 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331976.969 * * * * [misc]progress: [ 102 / 107 ] simplifiying candidate # 1540331976.972 * [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)))) 1540331976.976 * * [misc]simplify: iters left: 6 (18 enodes) 1540331976.990 * * [misc]simplify: iters left: 5 (39 enodes) 1540331977.024 * * [misc]simplify: iters left: 4 (110 enodes) 1540331977.135 * * [misc]simplify: iters left: 3 (321 enodes) 1540331977.742 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1540331977.742 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331977.742 * * * * [misc]progress: [ 103 / 107 ] simplifiying candidate # 1540331977.742 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331977.743 * * [misc]simplify: iters left: 5 (6 enodes) 1540331977.746 * * [misc]simplify: iters left: 4 (9 enodes) 1540331977.753 * * [misc]simplify: iters left: 3 (17 enodes) 1540331977.759 * * [misc]simplify: iters left: 2 (24 enodes) 1540331977.766 * * [misc]simplify: iters left: 1 (28 enodes) 1540331977.781 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331977.782 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331977.782 * * * * [misc]progress: [ 104 / 107 ] simplifiying candidate # 1540331977.782 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540331977.783 * * [misc]simplify: iters left: 5 (6 enodes) 1540331977.785 * * [misc]simplify: iters left: 4 (9 enodes) 1540331977.791 * * [misc]simplify: iters left: 3 (17 enodes) 1540331977.797 * * [misc]simplify: iters left: 2 (24 enodes) 1540331977.804 * * [misc]simplify: iters left: 1 (28 enodes) 1540331977.823 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1540331977.823 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (sqrt (pow PI (fma k -1/2 1/2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540331977.823 * * * * [misc]progress: [ 105 / 107 ] simplifiying candidate # 1540331977.824 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540331977.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540331977.824 * * * * [misc]progress: [ 106 / 107 ] simplifiying candidate # 1540331977.824 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540331977.824 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540331977.824 * * * * [misc]progress: [ 107 / 107 ] simplifiying candidate # 1540331977.825 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540331977.825 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1540331977.825 * * * [misc]progress: adding candidates to table 1540331981.325 * [misc]progress: [Phase 3 of 3] Extracting. 1540331981.325 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1540331981.330 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1540331981.330 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1540331981.415 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1540331981.524 * * * [misc]regime: Found split indices: #