1539333267.586 * [misc]progress: [Phase 1 of 3] Setting up. 1539333267.586 * * * [misc]progress: [1/2] Preparing points 1539333267.586 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1539333267.655 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.655 * * * * [misc]points: Sampling 184 additional inputs, on iter 1 have 72 / 256 1539333267.768 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.768 * * * * [misc]points: Sampling 137 additional inputs, on iter 2 have 119 / 256 1539333267.839 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.839 * * * * [misc]points: Sampling 105 additional inputs, on iter 3 have 151 / 256 1539333267.875 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.875 * * * * [misc]points: Sampling 72 additional inputs, on iter 4 have 184 / 256 1539333267.913 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.913 * * * * [misc]points: Sampling 53 additional inputs, on iter 5 have 203 / 256 1539333267.970 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.970 * * * * [misc]points: Sampling 41 additional inputs, on iter 6 have 215 / 256 1539333267.988 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.988 * * * * [misc]points: Sampling 33 additional inputs, on iter 7 have 223 / 256 1539333267.999 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333267.999 * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 232 / 256 1539333268.008 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.008 * * * * [misc]points: Sampling 19 additional inputs, on iter 9 have 237 / 256 1539333268.020 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.020 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1539333268.032 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.032 * * * * [misc]points: Sampling 10 additional inputs, on iter 11 have 246 / 256 1539333268.042 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.042 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1539333268.050 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.050 * * * * [misc]points: Sampling 5 additional inputs, on iter 13 have 251 / 256 1539333268.057 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.057 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1539333268.064 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.064 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 252 / 256 1539333268.070 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.070 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 253 / 256 1539333268.077 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.077 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 254 / 256 1539333268.083 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.083 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 255 / 256 1539333268.090 * * * * [misc]points: Filtering points with unrepresentable outputs 1539333268.090 * * * * [exit]points: Sampled 257 points with exact outputs 1539333268.090 * * * [misc]progress: [2/2] Setting up program. 1539333268.098 * [misc]progress: [Phase 2 of 3] Improving. 1539333268.099 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1539333268.100 * * [misc]simplify: iters left: 6 (13 enodes) 1539333268.122 * * [misc]simplify: iters left: 5 (28 enodes) 1539333268.135 * * [misc]simplify: iters left: 4 (44 enodes) 1539333268.151 * * [misc]simplify: iters left: 3 (54 enodes) 1539333268.165 * * [misc]simplify: iters left: 2 (57 enodes) 1539333268.179 * * [misc]simplify: iters left: 1 (65 enodes) 1539333268.201 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1539333268.224 * * [misc]progress: iteration 1 / 4 1539333268.224 * * * [misc]progress: picking best candidate 1539333268.240 * * * * [misc]pick: Picked # 1539333268.240 * * * [misc]progress: localizing error 1539333268.566 * * * [misc]progress: generating rewritten candidates 1539333268.566 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1539333268.586 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1539333268.599 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1539333268.640 * * * [misc]progress: generating series expansions 1539333268.640 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1539333268.640 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1539333268.640 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1539333268.640 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333268.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333268.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333268.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333268.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.640 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333268.640 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.640 * [misc]taylor: Taking taylor expansion of k in k 1539333268.640 * [misc]backup-simplify: Simplify 0 into 0 1539333268.640 * [misc]backup-simplify: Simplify 1 into 1 1539333268.641 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333268.641 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333268.641 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.641 * [misc]backup-simplify: Simplify 2 into 2 1539333268.641 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333268.641 * [misc]taylor: Taking taylor expansion of n in k 1539333268.641 * [misc]backup-simplify: Simplify n into n 1539333268.641 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.641 * [misc]backup-simplify: Simplify PI into PI 1539333268.641 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333268.641 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333268.641 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333268.641 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333268.641 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.641 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.641 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333268.642 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333268.642 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.642 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.642 * [misc]taylor: Taking taylor expansion of k in n 1539333268.642 * [misc]backup-simplify: Simplify k into k 1539333268.642 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.642 * [misc]backup-simplify: Simplify 2 into 2 1539333268.642 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.642 * [misc]taylor: Taking taylor expansion of n in n 1539333268.642 * [misc]backup-simplify: Simplify 0 into 0 1539333268.642 * [misc]backup-simplify: Simplify 1 into 1 1539333268.642 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.642 * [misc]backup-simplify: Simplify PI into PI 1539333268.642 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333268.643 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333268.643 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333268.644 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333268.644 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.644 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333268.644 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333268.644 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333268.644 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.645 * [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)))) 1539333268.645 * [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))))) 1539333268.645 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333268.645 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333268.645 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333268.645 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333268.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.646 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333268.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.646 * [misc]taylor: Taking taylor expansion of k in n 1539333268.646 * [misc]backup-simplify: Simplify k into k 1539333268.646 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333268.646 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.646 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.646 * [misc]backup-simplify: Simplify 2 into 2 1539333268.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.646 * [misc]taylor: Taking taylor expansion of n in n 1539333268.646 * [misc]backup-simplify: Simplify 0 into 0 1539333268.646 * [misc]backup-simplify: Simplify 1 into 1 1539333268.646 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.646 * [misc]backup-simplify: Simplify PI into PI 1539333268.646 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333268.646 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333268.646 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333268.647 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333268.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.647 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333268.647 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333268.647 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333268.648 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.648 * [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)))) 1539333268.649 * [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))))) 1539333268.649 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.649 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.649 * [misc]taylor: Taking taylor expansion of k in k 1539333268.649 * [misc]backup-simplify: Simplify 0 into 0 1539333268.649 * [misc]backup-simplify: Simplify 1 into 1 1539333268.649 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of n in k 1539333268.649 * [misc]backup-simplify: Simplify n into n 1539333268.649 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333268.649 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333268.649 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.649 * [misc]backup-simplify: Simplify 2 into 2 1539333268.649 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.649 * [misc]backup-simplify: Simplify PI into PI 1539333268.650 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.650 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.650 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333268.650 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.650 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.651 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.652 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1539333268.652 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539333268.653 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539333268.654 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333268.656 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333268.659 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333268.659 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539333268.659 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.660 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.661 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539333268.663 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333268.663 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.663 * [misc]backup-simplify: Simplify 0 into 0 1539333268.663 * [misc]backup-simplify: Simplify 0 into 0 1539333268.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539333268.665 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333268.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333268.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.668 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333268.668 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333268.668 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333268.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1539333268.671 * [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))))))) 1539333268.672 * [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))))))) 1539333268.673 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539333268.678 * [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 1539333268.678 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539333268.678 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.679 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.679 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333268.681 * [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 1539333268.681 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.681 * [misc]backup-simplify: Simplify 0 into 0 1539333268.681 * [misc]backup-simplify: Simplify 0 into 0 1539333268.681 * [misc]backup-simplify: Simplify 0 into 0 1539333268.682 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539333268.683 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.689 * [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 1539333268.689 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.689 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333268.689 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.689 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333268.694 * [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))))) 1539333268.698 * [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))))) 1539333268.708 * [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))))) 1539333268.708 * [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)))) 1539333268.708 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1539333268.708 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333268.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333268.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333268.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333268.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.708 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333268.708 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.709 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.709 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.709 * [misc]taylor: Taking taylor expansion of k in k 1539333268.709 * [misc]backup-simplify: Simplify 0 into 0 1539333268.709 * [misc]backup-simplify: Simplify 1 into 1 1539333268.709 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.709 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333268.709 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333268.709 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.709 * [misc]backup-simplify: Simplify 2 into 2 1539333268.709 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333268.709 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.709 * [misc]backup-simplify: Simplify PI into PI 1539333268.709 * [misc]taylor: Taking taylor expansion of n in k 1539333268.709 * [misc]backup-simplify: Simplify n into n 1539333268.709 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333268.709 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333268.710 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333268.710 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333268.710 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333268.710 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333268.710 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333268.711 * [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)))) 1539333268.711 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of k in n 1539333268.711 * [misc]backup-simplify: Simplify k into k 1539333268.711 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.711 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.711 * [misc]backup-simplify: Simplify 2 into 2 1539333268.711 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.711 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.711 * [misc]backup-simplify: Simplify PI into PI 1539333268.711 * [misc]taylor: Taking taylor expansion of n in n 1539333268.711 * [misc]backup-simplify: Simplify 0 into 0 1539333268.711 * [misc]backup-simplify: Simplify 1 into 1 1539333268.712 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.713 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.713 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333268.713 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333268.713 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333268.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.714 * [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))) 1539333268.715 * [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)))) 1539333268.715 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333268.715 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333268.715 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333268.715 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333268.715 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.715 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333268.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.716 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.716 * [misc]taylor: Taking taylor expansion of k in n 1539333268.716 * [misc]backup-simplify: Simplify k into k 1539333268.716 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.716 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333268.716 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333268.716 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.716 * [misc]backup-simplify: Simplify 2 into 2 1539333268.716 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.716 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.716 * [misc]backup-simplify: Simplify PI into PI 1539333268.716 * [misc]taylor: Taking taylor expansion of n in n 1539333268.716 * [misc]backup-simplify: Simplify 0 into 0 1539333268.716 * [misc]backup-simplify: Simplify 1 into 1 1539333268.716 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.717 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.717 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.717 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333268.717 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333268.717 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333268.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.719 * [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))) 1539333268.720 * [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)))) 1539333268.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of k in k 1539333268.720 * [misc]backup-simplify: Simplify 0 into 0 1539333268.720 * [misc]backup-simplify: Simplify 1 into 1 1539333268.720 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.720 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333268.720 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.720 * [misc]backup-simplify: Simplify 2 into 2 1539333268.721 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.721 * [misc]backup-simplify: Simplify PI into PI 1539333268.721 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.721 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.721 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333268.721 * [misc]taylor: Taking taylor expansion of n in k 1539333268.722 * [misc]backup-simplify: Simplify n into n 1539333268.722 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333268.722 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333268.722 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333268.722 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333268.722 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333268.723 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539333268.723 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1539333268.724 * [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)))) 1539333268.725 * [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)))) 1539333268.726 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333268.727 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333268.730 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333268.730 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333268.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333268.731 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.732 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539333268.734 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333268.734 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.734 * [misc]backup-simplify: Simplify 0 into 0 1539333268.734 * [misc]backup-simplify: Simplify 0 into 0 1539333268.734 * [misc]backup-simplify: Simplify 0 into 0 1539333268.736 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.737 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.747 * [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 1539333268.747 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.747 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333268.748 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.748 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.749 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539333268.752 * [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 1539333268.752 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.752 * [misc]backup-simplify: Simplify 0 into 0 1539333268.752 * [misc]backup-simplify: Simplify 0 into 0 1539333268.752 * [misc]backup-simplify: Simplify 0 into 0 1539333268.752 * [misc]backup-simplify: Simplify 0 into 0 1539333268.755 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.765 * [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 1539333268.765 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.765 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333268.765 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.766 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.766 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.767 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539333268.769 * [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 1539333268.769 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.769 * [misc]backup-simplify: Simplify 0 into 0 1539333268.769 * [misc]backup-simplify: Simplify 0 into 0 1539333268.770 * [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))))) 1539333268.770 * [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)) 1539333268.770 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1539333268.770 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.770 * [misc]taylor: Taking taylor expansion of k in k 1539333268.770 * [misc]backup-simplify: Simplify 0 into 0 1539333268.770 * [misc]backup-simplify: Simplify 1 into 1 1539333268.771 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.771 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.771 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333268.771 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333268.771 * [misc]taylor: Taking taylor expansion of -2 in k 1539333268.771 * [misc]backup-simplify: Simplify -2 into -2 1539333268.771 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333268.771 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.771 * [misc]backup-simplify: Simplify PI into PI 1539333268.771 * [misc]taylor: Taking taylor expansion of n in k 1539333268.771 * [misc]backup-simplify: Simplify n into n 1539333268.771 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333268.771 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333268.771 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333268.771 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333268.771 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.771 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333268.772 * [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))) 1539333268.772 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of k in n 1539333268.772 * [misc]backup-simplify: Simplify k into k 1539333268.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.772 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of -2 in n 1539333268.772 * [misc]backup-simplify: Simplify -2 into -2 1539333268.772 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.772 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.772 * [misc]backup-simplify: Simplify PI into PI 1539333268.772 * [misc]taylor: Taking taylor expansion of n in n 1539333268.772 * [misc]backup-simplify: Simplify 0 into 0 1539333268.772 * [misc]backup-simplify: Simplify 1 into 1 1539333268.772 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.773 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333268.773 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333268.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333268.773 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333268.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333268.774 * [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))) 1539333268.774 * [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)))) 1539333268.774 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333268.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333268.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333268.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333268.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333268.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.775 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.775 * [misc]taylor: Taking taylor expansion of k in n 1539333268.775 * [misc]backup-simplify: Simplify k into k 1539333268.775 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.775 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.775 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.775 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333268.775 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333268.775 * [misc]taylor: Taking taylor expansion of -2 in n 1539333268.775 * [misc]backup-simplify: Simplify -2 into -2 1539333268.775 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.775 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.775 * [misc]backup-simplify: Simplify PI into PI 1539333268.775 * [misc]taylor: Taking taylor expansion of n in n 1539333268.775 * [misc]backup-simplify: Simplify 0 into 0 1539333268.775 * [misc]backup-simplify: Simplify 1 into 1 1539333268.775 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.775 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333268.776 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333268.776 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333268.776 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333268.776 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333268.777 * [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))) 1539333268.777 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1539333268.777 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of k in k 1539333268.777 * [misc]backup-simplify: Simplify 0 into 0 1539333268.777 * [misc]backup-simplify: Simplify 1 into 1 1539333268.777 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.777 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.777 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539333268.777 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539333268.778 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539333268.778 * [misc]taylor: Taking taylor expansion of -2 in k 1539333268.778 * [misc]backup-simplify: Simplify -2 into -2 1539333268.778 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.778 * [misc]backup-simplify: Simplify PI into PI 1539333268.778 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333268.778 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333268.778 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333268.778 * [misc]taylor: Taking taylor expansion of n in k 1539333268.778 * [misc]backup-simplify: Simplify n into n 1539333268.778 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333268.778 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333268.778 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.778 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333268.779 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539333268.779 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1539333268.780 * [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)))) 1539333268.780 * [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)))) 1539333268.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333268.781 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333268.783 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539333268.783 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333268.784 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333268.784 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333268.785 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539333268.786 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333268.786 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.786 * [misc]backup-simplify: Simplify 0 into 0 1539333268.786 * [misc]backup-simplify: Simplify 0 into 0 1539333268.786 * [misc]backup-simplify: Simplify 0 into 0 1539333268.787 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.788 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.791 * [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 1539333268.791 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.792 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333268.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333268.793 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539333268.794 * [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 1539333268.794 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.794 * [misc]backup-simplify: Simplify 0 into 0 1539333268.794 * [misc]backup-simplify: Simplify 0 into 0 1539333268.795 * [misc]backup-simplify: Simplify 0 into 0 1539333268.795 * [misc]backup-simplify: Simplify 0 into 0 1539333268.796 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.797 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.803 * [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 1539333268.803 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333268.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.804 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333268.805 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1539333268.807 * [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 1539333268.807 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.807 * [misc]backup-simplify: Simplify 0 into 0 1539333268.807 * [misc]backup-simplify: Simplify 0 into 0 1539333268.808 * [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))))) 1539333268.808 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1539333268.808 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539333268.808 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539333268.808 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.808 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.808 * [misc]backup-simplify: Simplify 2 into 2 1539333268.808 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.808 * [misc]taylor: Taking taylor expansion of n in n 1539333268.808 * [misc]backup-simplify: Simplify 0 into 0 1539333268.808 * [misc]backup-simplify: Simplify 1 into 1 1539333268.808 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.808 * [misc]backup-simplify: Simplify PI into PI 1539333268.808 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.808 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.808 * [misc]backup-simplify: Simplify 2 into 2 1539333268.808 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.808 * [misc]taylor: Taking taylor expansion of n in n 1539333268.808 * [misc]backup-simplify: Simplify 0 into 0 1539333268.808 * [misc]backup-simplify: Simplify 1 into 1 1539333268.808 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.808 * [misc]backup-simplify: Simplify PI into PI 1539333268.809 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333268.809 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333268.809 * [misc]backup-simplify: Simplify 0 into 0 1539333268.809 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333268.810 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333268.810 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.811 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333268.811 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333268.811 * [misc]backup-simplify: Simplify 0 into 0 1539333268.812 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.813 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539333268.813 * [misc]backup-simplify: Simplify 0 into 0 1539333268.815 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333268.816 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539333268.816 * [misc]backup-simplify: Simplify 0 into 0 1539333268.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333268.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539333268.819 * [misc]backup-simplify: Simplify 0 into 0 1539333268.821 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333268.823 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539333268.823 * [misc]backup-simplify: Simplify 0 into 0 1539333268.826 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539333268.828 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539333268.828 * [misc]backup-simplify: Simplify 0 into 0 1539333268.829 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539333268.829 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539333268.829 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539333268.829 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333268.829 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.829 * [misc]backup-simplify: Simplify 2 into 2 1539333268.829 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.829 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.829 * [misc]backup-simplify: Simplify PI into PI 1539333268.829 * [misc]taylor: Taking taylor expansion of n in n 1539333268.829 * [misc]backup-simplify: Simplify 0 into 0 1539333268.829 * [misc]backup-simplify: Simplify 1 into 1 1539333268.829 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.829 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333268.829 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.829 * [misc]backup-simplify: Simplify 2 into 2 1539333268.829 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.829 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.829 * [misc]backup-simplify: Simplify PI into PI 1539333268.829 * [misc]taylor: Taking taylor expansion of n in n 1539333268.829 * [misc]backup-simplify: Simplify 0 into 0 1539333268.829 * [misc]backup-simplify: Simplify 1 into 1 1539333268.829 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.830 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.830 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333268.831 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333268.831 * [misc]backup-simplify: Simplify 0 into 0 1539333268.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.833 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.833 * [misc]backup-simplify: Simplify 0 into 0 1539333268.834 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.835 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.835 * [misc]backup-simplify: Simplify 0 into 0 1539333268.836 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333268.837 * [misc]backup-simplify: Simplify 0 into 0 1539333268.838 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333268.840 * [misc]backup-simplify: Simplify 0 into 0 1539333268.843 * [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 1539333268.845 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333268.845 * [misc]backup-simplify: Simplify 0 into 0 1539333268.845 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539333268.845 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539333268.845 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539333268.845 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333268.845 * [misc]taylor: Taking taylor expansion of -2 in n 1539333268.846 * [misc]backup-simplify: Simplify -2 into -2 1539333268.846 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.846 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.846 * [misc]backup-simplify: Simplify PI into PI 1539333268.846 * [misc]taylor: Taking taylor expansion of n in n 1539333268.846 * [misc]backup-simplify: Simplify 0 into 0 1539333268.846 * [misc]backup-simplify: Simplify 1 into 1 1539333268.846 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.846 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333268.846 * [misc]taylor: Taking taylor expansion of -2 in n 1539333268.846 * [misc]backup-simplify: Simplify -2 into -2 1539333268.846 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.846 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.846 * [misc]backup-simplify: Simplify PI into PI 1539333268.846 * [misc]taylor: Taking taylor expansion of n in n 1539333268.846 * [misc]backup-simplify: Simplify 0 into 0 1539333268.846 * [misc]backup-simplify: Simplify 1 into 1 1539333268.846 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.846 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333268.847 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333268.847 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333268.848 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333268.848 * [misc]backup-simplify: Simplify 0 into 0 1539333268.849 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.850 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.850 * [misc]backup-simplify: Simplify 0 into 0 1539333268.851 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.852 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.852 * [misc]backup-simplify: Simplify 0 into 0 1539333268.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.854 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333268.854 * [misc]backup-simplify: Simplify 0 into 0 1539333268.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.857 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333268.857 * [misc]backup-simplify: Simplify 0 into 0 1539333268.859 * [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 1539333268.861 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333268.861 * [misc]backup-simplify: Simplify 0 into 0 1539333268.861 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539333268.861 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1539333268.862 * [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)))) 1539333268.862 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1539333268.862 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539333268.862 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333268.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.862 * [misc]taylor: Taking taylor expansion of k in k 1539333268.862 * [misc]backup-simplify: Simplify 0 into 0 1539333268.862 * [misc]backup-simplify: Simplify 1 into 1 1539333268.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.862 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333268.863 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333268.863 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.863 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.863 * [misc]taylor: Taking taylor expansion of k in k 1539333268.863 * [misc]backup-simplify: Simplify 0 into 0 1539333268.863 * [misc]backup-simplify: Simplify 1 into 1 1539333268.863 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.863 * [misc]backup-simplify: Simplify 2 into 2 1539333268.863 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333268.863 * [misc]taylor: Taking taylor expansion of n in k 1539333268.863 * [misc]backup-simplify: Simplify n into n 1539333268.863 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.863 * [misc]backup-simplify: Simplify PI into PI 1539333268.863 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333268.863 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333268.863 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333268.863 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333268.863 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.864 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.864 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333268.864 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333268.864 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of k in n 1539333268.864 * [misc]backup-simplify: Simplify k into k 1539333268.864 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.864 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333268.864 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333268.864 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333268.864 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.864 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.864 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.864 * [misc]taylor: Taking taylor expansion of k in n 1539333268.864 * [misc]backup-simplify: Simplify k into k 1539333268.864 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.864 * [misc]backup-simplify: Simplify 2 into 2 1539333268.864 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.864 * [misc]taylor: Taking taylor expansion of n in n 1539333268.864 * [misc]backup-simplify: Simplify 0 into 0 1539333268.864 * [misc]backup-simplify: Simplify 1 into 1 1539333268.864 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.864 * [misc]backup-simplify: Simplify PI into PI 1539333268.865 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333268.865 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333268.865 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333268.866 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333268.866 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.866 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333268.866 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333268.866 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333268.867 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.867 * [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)))) 1539333268.868 * [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))))) 1539333268.868 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of k in n 1539333268.868 * [misc]backup-simplify: Simplify k into k 1539333268.868 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.868 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333268.868 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333268.868 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333268.868 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.868 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.868 * [misc]taylor: Taking taylor expansion of k in n 1539333268.868 * [misc]backup-simplify: Simplify k into k 1539333268.868 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.868 * [misc]backup-simplify: Simplify 2 into 2 1539333268.868 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333268.868 * [misc]taylor: Taking taylor expansion of n in n 1539333268.868 * [misc]backup-simplify: Simplify 0 into 0 1539333268.868 * [misc]backup-simplify: Simplify 1 into 1 1539333268.868 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.868 * [misc]backup-simplify: Simplify PI into PI 1539333268.869 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333268.869 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333268.869 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333268.870 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333268.870 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.870 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333268.870 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333268.870 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333268.871 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.871 * [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)))) 1539333268.872 * [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))))) 1539333268.872 * [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))) 1539333268.872 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1539333268.872 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1539333268.872 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1539333268.872 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333268.872 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.872 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333268.872 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.872 * [misc]taylor: Taking taylor expansion of k in k 1539333268.872 * [misc]backup-simplify: Simplify 0 into 0 1539333268.872 * [misc]backup-simplify: Simplify 1 into 1 1539333268.872 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539333268.873 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333268.873 * [misc]taylor: Taking taylor expansion of n in k 1539333268.873 * [misc]backup-simplify: Simplify n into n 1539333268.873 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333268.873 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333268.873 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333268.873 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.873 * [misc]backup-simplify: Simplify 2 into 2 1539333268.873 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.873 * [misc]backup-simplify: Simplify PI into PI 1539333268.873 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.873 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.873 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333268.873 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333268.874 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.874 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1539333268.875 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539333268.875 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333268.875 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.875 * [misc]taylor: Taking taylor expansion of k in k 1539333268.875 * [misc]backup-simplify: Simplify 0 into 0 1539333268.875 * [misc]backup-simplify: Simplify 1 into 1 1539333268.875 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.875 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333268.875 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333268.876 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1539333268.876 * [misc]backup-simplify: Simplify 0 into 0 1539333268.877 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333268.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333268.879 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333268.879 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539333268.879 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.880 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.880 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.880 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539333268.882 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333268.882 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1539333268.882 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.882 * [misc]backup-simplify: Simplify 0 into 0 1539333268.883 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539333268.883 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333268.885 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333268.885 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.885 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333268.886 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333268.886 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333268.886 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1539333268.887 * [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))))))) 1539333268.889 * [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))))))) 1539333268.889 * [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))))))) 1539333268.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539333268.895 * [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 1539333268.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539333268.896 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.896 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.896 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.897 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333268.899 * [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 1539333268.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.899 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1539333268.900 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1539333268.900 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.900 * [misc]backup-simplify: Simplify 0 into 0 1539333268.900 * [misc]backup-simplify: Simplify 0 into 0 1539333268.900 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333268.901 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333268.902 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539333268.903 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333268.906 * [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 1539333268.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333268.906 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.907 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333268.909 * [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))))) 1539333268.914 * [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)))))))) 1539333268.916 * [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)))))))) 1539333268.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333268.918 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539333268.924 * [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 1539333268.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1539333268.925 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.925 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.925 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333268.926 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1539333268.928 * [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 1539333268.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333268.928 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1539333268.929 * [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 1539333268.929 * [misc]taylor: Taking taylor expansion of 0 in k 1539333268.929 * [misc]backup-simplify: Simplify 0 into 0 1539333268.929 * [misc]backup-simplify: Simplify 0 into 0 1539333268.929 * [misc]backup-simplify: Simplify 0 into 0 1539333268.930 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333268.930 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333268.932 * [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 1539333268.933 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333268.940 * [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 1539333268.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333268.940 * [misc]backup-simplify: Simplify (- 0) into 0 1539333268.940 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333268.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1539333268.945 * [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))))))) 1539333268.959 * [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)))))))))))))) 1539333268.970 * [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)))))))))))))) 1539333268.989 * [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)))))))))))))))))))))) 1539333268.990 * [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))))) 1539333268.990 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1539333268.990 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333268.990 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333268.990 * [misc]taylor: Taking taylor expansion of k in k 1539333268.990 * [misc]backup-simplify: Simplify 0 into 0 1539333268.990 * [misc]backup-simplify: Simplify 1 into 1 1539333268.991 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333268.991 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333268.991 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333268.991 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333268.991 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333268.991 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333268.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333268.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333268.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333268.992 * [misc]taylor: Taking taylor expansion of k in k 1539333268.992 * [misc]backup-simplify: Simplify 0 into 0 1539333268.992 * [misc]backup-simplify: Simplify 1 into 1 1539333268.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333268.992 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333268.992 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333268.992 * [misc]taylor: Taking taylor expansion of 2 in k 1539333268.992 * [misc]backup-simplify: Simplify 2 into 2 1539333268.992 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333268.992 * [misc]taylor: Taking taylor expansion of PI in k 1539333268.992 * [misc]backup-simplify: Simplify PI into PI 1539333268.992 * [misc]taylor: Taking taylor expansion of n in k 1539333268.992 * [misc]backup-simplify: Simplify n into n 1539333268.992 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333268.992 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333268.993 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333268.993 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333268.993 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333268.993 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333268.993 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333268.994 * [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)))) 1539333268.994 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of k in n 1539333268.994 * [misc]backup-simplify: Simplify k into k 1539333268.994 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333268.994 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333268.994 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333268.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333268.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333268.994 * [misc]taylor: Taking taylor expansion of k in n 1539333268.994 * [misc]backup-simplify: Simplify k into k 1539333268.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333268.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333268.995 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333268.995 * [misc]taylor: Taking taylor expansion of 2 in n 1539333268.995 * [misc]backup-simplify: Simplify 2 into 2 1539333268.995 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333268.995 * [misc]taylor: Taking taylor expansion of PI in n 1539333268.995 * [misc]backup-simplify: Simplify PI into PI 1539333268.995 * [misc]taylor: Taking taylor expansion of n in n 1539333268.995 * [misc]backup-simplify: Simplify 0 into 0 1539333268.995 * [misc]backup-simplify: Simplify 1 into 1 1539333268.995 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333268.996 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333268.996 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333268.996 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333268.997 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333268.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333268.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333268.998 * [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))) 1539333268.999 * [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)))) 1539333268.999 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of k in n 1539333268.999 * [misc]backup-simplify: Simplify k into k 1539333268.999 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333268.999 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333268.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333268.999 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333269.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333269.000 * [misc]taylor: Taking taylor expansion of k in n 1539333269.000 * [misc]backup-simplify: Simplify k into k 1539333269.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333269.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333269.000 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333269.000 * [misc]taylor: Taking taylor expansion of 2 in n 1539333269.000 * [misc]backup-simplify: Simplify 2 into 2 1539333269.000 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333269.000 * [misc]taylor: Taking taylor expansion of PI in n 1539333269.000 * [misc]backup-simplify: Simplify PI into PI 1539333269.000 * [misc]taylor: Taking taylor expansion of n in n 1539333269.000 * [misc]backup-simplify: Simplify 0 into 0 1539333269.000 * [misc]backup-simplify: Simplify 1 into 1 1539333269.001 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333269.001 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333269.002 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333269.002 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333269.002 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333269.002 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333269.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333269.004 * [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))) 1539333269.004 * [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)))) 1539333269.005 * [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)) 1539333269.005 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of k in k 1539333269.006 * [misc]backup-simplify: Simplify 0 into 0 1539333269.006 * [misc]backup-simplify: Simplify 1 into 1 1539333269.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333269.006 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333269.006 * [misc]taylor: Taking taylor expansion of 2 in k 1539333269.006 * [misc]backup-simplify: Simplify 2 into 2 1539333269.006 * [misc]taylor: Taking taylor expansion of PI in k 1539333269.006 * [misc]backup-simplify: Simplify PI into PI 1539333269.007 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333269.007 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333269.007 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333269.007 * [misc]taylor: Taking taylor expansion of n in k 1539333269.007 * [misc]backup-simplify: Simplify n into n 1539333269.007 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333269.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333269.008 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333269.008 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333269.008 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333269.008 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539333269.009 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1539333269.010 * [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)))) 1539333269.010 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333269.010 * [misc]taylor: Taking taylor expansion of k in k 1539333269.010 * [misc]backup-simplify: Simplify 0 into 0 1539333269.010 * [misc]backup-simplify: Simplify 1 into 1 1539333269.010 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333269.011 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333269.011 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1539333269.011 * [misc]backup-simplify: Simplify 0 into 0 1539333269.013 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333269.013 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333269.017 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333269.017 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333269.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333269.017 * [misc]backup-simplify: Simplify (- 0) into 0 1539333269.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333269.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333269.019 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539333269.020 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333269.021 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1539333269.021 * [misc]taylor: Taking taylor expansion of 0 in k 1539333269.021 * [misc]backup-simplify: Simplify 0 into 0 1539333269.021 * [misc]backup-simplify: Simplify 0 into 0 1539333269.021 * [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)))))) 1539333269.022 * [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)))))) 1539333269.023 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333269.024 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333269.027 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1539333269.027 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333269.027 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333269.028 * [misc]backup-simplify: Simplify (- 0) into 0 1539333269.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333269.028 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333269.029 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539333269.030 * [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 1539333269.031 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1539333269.031 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1539333269.031 * [misc]taylor: Taking taylor expansion of 0 in k 1539333269.031 * [misc]backup-simplify: Simplify 0 into 0 1539333269.031 * [misc]backup-simplify: Simplify 0 into 0 1539333269.032 * [misc]backup-simplify: Simplify 0 into 0 1539333269.033 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333269.034 * [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)))))) 1539333269.035 * [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)))))) 1539333269.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333269.038 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333269.048 * [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 1539333269.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333269.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333269.049 * [misc]backup-simplify: Simplify (- 0) into 0 1539333269.049 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333269.050 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333269.051 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539333269.054 * [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 1539333269.054 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1539333269.055 * [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 1539333269.055 * [misc]taylor: Taking taylor expansion of 0 in k 1539333269.055 * [misc]backup-simplify: Simplify 0 into 0 1539333269.055 * [misc]backup-simplify: Simplify 0 into 0 1539333269.055 * [misc]backup-simplify: Simplify 0 into 0 1539333269.055 * [misc]backup-simplify: Simplify 0 into 0 1539333269.056 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333269.058 * [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)))))) 1539333269.058 * [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)))))) 1539333269.060 * [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)))))))) 1539333269.061 * [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))) 1539333269.061 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1539333269.061 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of k in k 1539333269.061 * [misc]backup-simplify: Simplify 0 into 0 1539333269.061 * [misc]backup-simplify: Simplify 1 into 1 1539333269.061 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333269.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.061 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of -2 in k 1539333269.061 * [misc]backup-simplify: Simplify -2 into -2 1539333269.061 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333269.061 * [misc]taylor: Taking taylor expansion of PI in k 1539333269.061 * [misc]backup-simplify: Simplify PI into PI 1539333269.061 * [misc]taylor: Taking taylor expansion of n in k 1539333269.061 * [misc]backup-simplify: Simplify n into n 1539333269.061 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333269.061 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333269.062 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333269.062 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333269.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333269.062 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333269.062 * [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))) 1539333269.062 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333269.062 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333269.062 * [misc]taylor: Taking taylor expansion of -1 in k 1539333269.062 * [misc]backup-simplify: Simplify -1 into -1 1539333269.062 * [misc]taylor: Taking taylor expansion of k in k 1539333269.062 * [misc]backup-simplify: Simplify 0 into 0 1539333269.062 * [misc]backup-simplify: Simplify 1 into 1 1539333269.062 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333269.062 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333269.063 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333269.063 * [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)))) 1539333269.063 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of k in n 1539333269.063 * [misc]backup-simplify: Simplify k into k 1539333269.063 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333269.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.063 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of -2 in n 1539333269.063 * [misc]backup-simplify: Simplify -2 into -2 1539333269.063 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333269.063 * [misc]taylor: Taking taylor expansion of PI in n 1539333269.064 * [misc]backup-simplify: Simplify PI into PI 1539333269.064 * [misc]taylor: Taking taylor expansion of n in n 1539333269.064 * [misc]backup-simplify: Simplify 0 into 0 1539333269.064 * [misc]backup-simplify: Simplify 1 into 1 1539333269.064 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333269.064 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333269.064 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333269.064 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333269.064 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333269.065 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333269.065 * [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))) 1539333269.066 * [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)))) 1539333269.066 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333269.066 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333269.066 * [misc]taylor: Taking taylor expansion of -1 in n 1539333269.066 * [misc]backup-simplify: Simplify -1 into -1 1539333269.066 * [misc]taylor: Taking taylor expansion of k in n 1539333269.066 * [misc]backup-simplify: Simplify k into k 1539333269.066 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333269.066 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333269.066 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333269.066 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333269.067 * [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))) 1539333269.067 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of k in n 1539333269.067 * [misc]backup-simplify: Simplify k into k 1539333269.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333269.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333269.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.067 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of -2 in n 1539333269.067 * [misc]backup-simplify: Simplify -2 into -2 1539333269.067 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333269.067 * [misc]taylor: Taking taylor expansion of PI in n 1539333269.067 * [misc]backup-simplify: Simplify PI into PI 1539333269.067 * [misc]taylor: Taking taylor expansion of n in n 1539333269.067 * [misc]backup-simplify: Simplify 0 into 0 1539333269.067 * [misc]backup-simplify: Simplify 1 into 1 1539333269.068 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333269.068 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333269.068 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333269.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333269.068 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333269.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333269.069 * [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))) 1539333269.070 * [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)))) 1539333269.070 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333269.070 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333269.070 * [misc]taylor: Taking taylor expansion of -1 in n 1539333269.070 * [misc]backup-simplify: Simplify -1 into -1 1539333269.070 * [misc]taylor: Taking taylor expansion of k in n 1539333269.070 * [misc]backup-simplify: Simplify k into k 1539333269.070 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333269.070 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333269.070 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333269.070 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333269.070 * [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))) 1539333269.071 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.071 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of k in k 1539333269.071 * [misc]backup-simplify: Simplify 0 into 0 1539333269.071 * [misc]backup-simplify: Simplify 1 into 1 1539333269.071 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333269.071 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333269.071 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333269.071 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539333269.071 * [misc]taylor: Taking taylor expansion of -2 in k 1539333269.071 * [misc]backup-simplify: Simplify -2 into -2 1539333269.071 * [misc]taylor: Taking taylor expansion of PI in k 1539333269.071 * [misc]backup-simplify: Simplify PI into PI 1539333269.071 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333269.072 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333269.072 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333269.072 * [misc]taylor: Taking taylor expansion of n in k 1539333269.072 * [misc]backup-simplify: Simplify n into n 1539333269.072 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333269.072 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333269.072 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333269.072 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333269.072 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539333269.073 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1539333269.073 * [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)))) 1539333269.073 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333269.073 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333269.073 * [misc]taylor: Taking taylor expansion of -1 in k 1539333269.073 * [misc]backup-simplify: Simplify -1 into -1 1539333269.073 * [misc]taylor: Taking taylor expansion of k in k 1539333269.073 * [misc]backup-simplify: Simplify 0 into 0 1539333269.073 * [misc]backup-simplify: Simplify 1 into 1 1539333269.073 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333269.073 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333269.074 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333269.074 * [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))))) 1539333269.075 * [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))))) 1539333269.076 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333269.076 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333269.078 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539333269.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333269.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333269.078 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333269.079 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333269.079 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539333269.080 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333269.081 * [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 1539333269.081 * [misc]taylor: Taking taylor expansion of 0 in k 1539333269.081 * [misc]backup-simplify: Simplify 0 into 0 1539333269.081 * [misc]backup-simplify: Simplify 0 into 0 1539333269.081 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333269.082 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333269.083 * [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)))))) 1539333269.083 * [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)))))) 1539333269.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333269.085 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333269.088 * [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 1539333269.089 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333269.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333269.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333269.089 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333269.090 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539333269.091 * [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 1539333269.092 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333269.092 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1539333269.093 * [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 1539333269.093 * [misc]taylor: Taking taylor expansion of 0 in k 1539333269.093 * [misc]backup-simplify: Simplify 0 into 0 1539333269.093 * [misc]backup-simplify: Simplify 0 into 0 1539333269.093 * [misc]backup-simplify: Simplify 0 into 0 1539333269.093 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333269.094 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333269.095 * [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)))))) 1539333269.096 * [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)))))) 1539333269.098 * [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))))))))))) 1539333269.098 * * * [misc]progress: simplifying candidates 1539333269.098 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1539333269.098 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1539333269.099 * * [misc]simplify: iters left: 6 (11 enodes) 1539333269.102 * * [misc]simplify: iters left: 5 (21 enodes) 1539333269.108 * * [misc]simplify: iters left: 4 (47 enodes) 1539333269.122 * * [misc]simplify: iters left: 3 (109 enodes) 1539333269.190 * * [misc]simplify: iters left: 2 (300 enodes) 1539333269.610 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1539333269.611 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1539333269.611 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1539333269.611 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1539333269.611 * [enter]simplify: Simplifying (* PI (* n 2)) 1539333269.612 * * [misc]simplify: iters left: 4 (5 enodes) 1539333269.614 * * [misc]simplify: iters left: 3 (9 enodes) 1539333269.618 * * [misc]simplify: iters left: 2 (15 enodes) 1539333269.622 * * [misc]simplify: iters left: 1 (17 enodes) 1539333269.624 * [exit]simplify: Simplified to (* (* 2 n) PI) 1539333269.624 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1539333269.624 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1539333269.624 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539333269.625 * * [misc]simplify: iters left: 5 (8 enodes) 1539333269.627 * * [misc]simplify: iters left: 4 (12 enodes) 1539333269.629 * * [misc]simplify: iters left: 3 (18 enodes) 1539333269.632 * * [misc]simplify: iters left: 2 (20 enodes) 1539333269.635 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539333269.635 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1539333269.636 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1539333269.636 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333269.636 * * [misc]simplify: iters left: 5 (6 enodes) 1539333269.637 * * [misc]simplify: iters left: 4 (8 enodes) 1539333269.639 * * [misc]simplify: iters left: 3 (11 enodes) 1539333269.640 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333269.640 * [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))) 1539333269.640 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1539333269.641 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333269.641 * * [misc]simplify: iters left: 5 (6 enodes) 1539333269.642 * * [misc]simplify: iters left: 4 (8 enodes) 1539333269.644 * * [misc]simplify: iters left: 3 (11 enodes) 1539333269.645 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333269.645 * [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))) 1539333269.645 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1539333269.646 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333269.646 * * [misc]simplify: iters left: 4 (5 enodes) 1539333269.647 * * [misc]simplify: iters left: 3 (7 enodes) 1539333269.648 * * [misc]simplify: iters left: 2 (10 enodes) 1539333269.651 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333269.651 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1539333269.651 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1539333269.651 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333269.652 * * [misc]simplify: iters left: 5 (9 enodes) 1539333269.654 * * [misc]simplify: iters left: 4 (15 enodes) 1539333269.656 * * [misc]simplify: iters left: 3 (21 enodes) 1539333269.660 * * [misc]simplify: iters left: 2 (22 enodes) 1539333269.663 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333269.663 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1539333269.663 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1539333269.664 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333269.664 * * [misc]simplify: iters left: 5 (9 enodes) 1539333269.666 * * [misc]simplify: iters left: 4 (15 enodes) 1539333269.669 * * [misc]simplify: iters left: 3 (21 enodes) 1539333269.673 * * [misc]simplify: iters left: 2 (22 enodes) 1539333269.676 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333269.676 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1539333269.676 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1539333269.676 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1539333269.677 * * [misc]simplify: iters left: 5 (7 enodes) 1539333269.678 * * [misc]simplify: iters left: 4 (9 enodes) 1539333269.680 * * [misc]simplify: iters left: 3 (12 enodes) 1539333269.682 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539333269.682 * [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))) 1539333269.682 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1539333269.682 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1539333269.683 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1539333269.683 * * [misc]simplify: iters left: 6 (14 enodes) 1539333269.687 * * [misc]simplify: iters left: 5 (26 enodes) 1539333269.694 * * [misc]simplify: iters left: 4 (53 enodes) 1539333269.712 * * [misc]simplify: iters left: 3 (137 enodes) 1539333269.797 * * [misc]simplify: iters left: 2 (487 enodes) 1539333270.815 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1539333270.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1539333270.816 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1539333270.816 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1539333270.818 * * [misc]simplify: iters left: 6 (14 enodes) 1539333270.825 * * [misc]simplify: iters left: 5 (26 enodes) 1539333270.838 * * [misc]simplify: iters left: 4 (53 enodes) 1539333270.872 * * [misc]simplify: iters left: 3 (137 enodes) 1539333270.959 * * [misc]simplify: iters left: 2 (487 enodes) 1539333271.884 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1539333271.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1539333271.885 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1539333271.885 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1539333271.886 * * [misc]simplify: iters left: 6 (14 enodes) 1539333271.889 * * [misc]simplify: iters left: 5 (24 enodes) 1539333271.895 * * [misc]simplify: iters left: 4 (42 enodes) 1539333271.910 * * [misc]simplify: iters left: 3 (71 enodes) 1539333271.957 * * [misc]simplify: iters left: 2 (208 enodes) 1539333272.333 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1539333272.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1539333272.333 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1539333272.333 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1539333272.333 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1539333272.334 * [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))) 1539333272.335 * * [misc]simplify: iters left: 6 (16 enodes) 1539333272.339 * * [misc]simplify: iters left: 5 (31 enodes) 1539333272.348 * * [misc]simplify: iters left: 4 (67 enodes) 1539333272.383 * * [misc]simplify: iters left: 3 (124 enodes) 1539333272.444 * * [misc]simplify: iters left: 2 (195 enodes) 1539333272.521 * * [misc]simplify: iters left: 1 (309 enodes) 1539333272.693 * [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)))) 1539333272.693 * [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)))))) 1539333272.693 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1539333272.693 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1539333272.693 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1539333272.693 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1539333272.693 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1539333272.693 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.694 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.698 * * [misc]simplify: iters left: 5 (19 enodes) 1539333272.705 * * [misc]simplify: iters left: 4 (25 enodes) 1539333272.713 * * [misc]simplify: iters left: 3 (26 enodes) 1539333272.723 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.723 * [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))))) 1539333272.724 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1539333272.725 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.730 * * [misc]simplify: iters left: 5 (18 enodes) 1539333272.737 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.745 * * [misc]simplify: iters left: 3 (25 enodes) 1539333272.753 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1539333272.753 * [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))))) 1539333272.754 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1539333272.754 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1539333272.755 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.759 * * [misc]simplify: iters left: 5 (16 enodes) 1539333272.765 * * [misc]simplify: iters left: 4 (22 enodes) 1539333272.772 * * [misc]simplify: iters left: 3 (24 enodes) 1539333272.780 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1539333272.780 * [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))))) 1539333272.780 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1539333272.781 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.786 * * [misc]simplify: iters left: 5 (18 enodes) 1539333272.790 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.796 * * [misc]simplify: iters left: 3 (25 enodes) 1539333272.801 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1539333272.801 * [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))))) 1539333272.801 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1539333272.801 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1539333272.801 * * [misc]simplify: iters left: 6 (9 enodes) 1539333272.803 * * [misc]simplify: iters left: 5 (16 enodes) 1539333272.807 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.810 * * [misc]simplify: iters left: 3 (26 enodes) 1539333272.814 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1539333272.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1539333272.814 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1539333272.815 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.818 * * [misc]simplify: iters left: 5 (17 enodes) 1539333272.824 * * [misc]simplify: iters left: 4 (23 enodes) 1539333272.832 * * [misc]simplify: iters left: 3 (24 enodes) 1539333272.840 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1539333272.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1539333272.840 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1539333272.841 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.842 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.846 * * [misc]simplify: iters left: 5 (19 enodes) 1539333272.850 * * [misc]simplify: iters left: 4 (25 enodes) 1539333272.854 * * [misc]simplify: iters left: 3 (26 enodes) 1539333272.858 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.858 * [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))))) 1539333272.858 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1539333272.859 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.861 * * [misc]simplify: iters left: 5 (18 enodes) 1539333272.865 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.870 * * [misc]simplify: iters left: 3 (25 enodes) 1539333272.878 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1539333272.878 * [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))))) 1539333272.878 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1539333272.878 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1539333272.881 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.886 * * [misc]simplify: iters left: 5 (16 enodes) 1539333272.892 * * [misc]simplify: iters left: 4 (22 enodes) 1539333272.899 * * [misc]simplify: iters left: 3 (24 enodes) 1539333272.907 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1539333272.907 * [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))))) 1539333272.908 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1539333272.908 * * [misc]simplify: iters left: 6 (12 enodes) 1539333272.911 * * [misc]simplify: iters left: 5 (18 enodes) 1539333272.914 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.918 * * [misc]simplify: iters left: 3 (25 enodes) 1539333272.922 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1539333272.922 * [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))))) 1539333272.922 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1539333272.922 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1539333272.923 * * [misc]simplify: iters left: 6 (9 enodes) 1539333272.925 * * [misc]simplify: iters left: 5 (16 enodes) 1539333272.928 * * [misc]simplify: iters left: 4 (24 enodes) 1539333272.932 * * [misc]simplify: iters left: 3 (26 enodes) 1539333272.935 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1539333272.935 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1539333272.935 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1539333272.936 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.941 * * [misc]simplify: iters left: 5 (17 enodes) 1539333272.947 * * [misc]simplify: iters left: 4 (23 enodes) 1539333272.955 * * [misc]simplify: iters left: 3 (24 enodes) 1539333272.963 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1539333272.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1539333272.963 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1539333272.964 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.965 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.969 * * [misc]simplify: iters left: 5 (15 enodes) 1539333272.975 * * [misc]simplify: iters left: 4 (18 enodes) 1539333272.981 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333272.981 * [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))))) 1539333272.982 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539333272.985 * * [misc]simplify: iters left: 6 (11 enodes) 1539333272.989 * * [misc]simplify: iters left: 5 (14 enodes) 1539333272.994 * * [misc]simplify: iters left: 4 (17 enodes) 1539333273.000 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539333273.001 * [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))))) 1539333273.001 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1539333273.001 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.002 * * [misc]simplify: iters left: 6 (10 enodes) 1539333273.006 * * [misc]simplify: iters left: 5 (12 enodes) 1539333273.010 * * [misc]simplify: iters left: 4 (15 enodes) 1539333273.013 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1539333273.014 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.014 * * [misc]simplify: iters left: 6 (11 enodes) 1539333273.016 * * [misc]simplify: iters left: 5 (14 enodes) 1539333273.018 * * [misc]simplify: iters left: 4 (17 enodes) 1539333273.021 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.022 * [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))))) 1539333273.022 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1539333273.022 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1539333273.022 * * [misc]simplify: iters left: 6 (9 enodes) 1539333273.024 * * [misc]simplify: iters left: 5 (13 enodes) 1539333273.027 * * [misc]simplify: iters left: 4 (18 enodes) 1539333273.029 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539333273.029 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1539333273.029 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1539333273.030 * * [misc]simplify: iters left: 6 (10 enodes) 1539333273.031 * * [misc]simplify: iters left: 5 (13 enodes) 1539333273.034 * * [misc]simplify: iters left: 4 (16 enodes) 1539333273.036 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1539333273.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1539333273.036 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1539333273.036 * [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)))) 1539333273.037 * * [misc]simplify: iters left: 6 (16 enodes) 1539333273.041 * * [misc]simplify: iters left: 5 (28 enodes) 1539333273.050 * * [misc]simplify: iters left: 4 (46 enodes) 1539333273.062 * * [misc]simplify: iters left: 3 (50 enodes) 1539333273.069 * * [misc]simplify: iters left: 2 (53 enodes) 1539333273.081 * [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)))) 1539333273.081 * [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))))) 1539333273.081 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539333273.082 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.085 * * [misc]simplify: iters left: 5 (20 enodes) 1539333273.089 * * [misc]simplify: iters left: 4 (29 enodes) 1539333273.093 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.098 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539333273.098 * [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))))) 1539333273.098 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1539333273.098 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333273.099 * * [misc]simplify: iters left: 6 (15 enodes) 1539333273.102 * * [misc]simplify: iters left: 5 (23 enodes) 1539333273.107 * * [misc]simplify: iters left: 4 (34 enodes) 1539333273.113 * * [misc]simplify: iters left: 3 (37 enodes) 1539333273.127 * [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)))))) 1539333273.127 * [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))))) 1539333273.128 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.129 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.135 * * [misc]simplify: iters left: 5 (20 enodes) 1539333273.143 * * [misc]simplify: iters left: 4 (29 enodes) 1539333273.152 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.160 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.161 * [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))))) 1539333273.161 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1539333273.161 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1539333273.163 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.166 * * [misc]simplify: iters left: 5 (24 enodes) 1539333273.171 * * [misc]simplify: iters left: 4 (39 enodes) 1539333273.178 * * [misc]simplify: iters left: 3 (54 enodes) 1539333273.188 * * [misc]simplify: iters left: 2 (80 enodes) 1539333273.209 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1539333273.209 * [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)))) 1539333273.210 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1539333273.211 * * [misc]simplify: iters left: 6 (13 enodes) 1539333273.216 * * [misc]simplify: iters left: 5 (19 enodes) 1539333273.222 * * [misc]simplify: iters left: 4 (28 enodes) 1539333273.227 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.232 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1539333273.232 * [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)))) 1539333273.232 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1539333273.232 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333273.233 * * [misc]simplify: iters left: 6 (15 enodes) 1539333273.236 * * [misc]simplify: iters left: 5 (23 enodes) 1539333273.241 * * [misc]simplify: iters left: 4 (32 enodes) 1539333273.251 * * [misc]simplify: iters left: 3 (34 enodes) 1539333273.262 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333273.263 * [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))))) 1539333273.263 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539333273.264 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.270 * * [misc]simplify: iters left: 5 (20 enodes) 1539333273.277 * * [misc]simplify: iters left: 4 (29 enodes) 1539333273.287 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.297 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1539333273.297 * [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))))) 1539333273.297 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1539333273.297 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.298 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.304 * * [misc]simplify: iters left: 5 (20 enodes) 1539333273.312 * * [misc]simplify: iters left: 4 (29 enodes) 1539333273.320 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.330 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.330 * [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))))) 1539333273.331 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.332 * * [misc]simplify: iters left: 6 (14 enodes) 1539333273.338 * * [misc]simplify: iters left: 5 (20 enodes) 1539333273.346 * * [misc]simplify: iters left: 4 (29 enodes) 1539333273.355 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.366 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333273.366 * [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))))) 1539333273.366 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1539333273.367 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1539333273.368 * * [misc]simplify: iters left: 6 (13 enodes) 1539333273.370 * * [misc]simplify: iters left: 5 (21 enodes) 1539333273.377 * * [misc]simplify: iters left: 4 (32 enodes) 1539333273.381 * * [misc]simplify: iters left: 3 (33 enodes) 1539333273.386 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1539333273.386 * [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)))) 1539333273.386 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1539333273.387 * * [misc]simplify: iters left: 6 (13 enodes) 1539333273.389 * * [misc]simplify: iters left: 5 (19 enodes) 1539333273.393 * * [misc]simplify: iters left: 4 (28 enodes) 1539333273.398 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.403 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1539333273.403 * [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)))) 1539333273.403 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1539333273.403 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333273.403 * * [misc]simplify: iters left: 6 (6 enodes) 1539333273.404 * * [misc]simplify: iters left: 5 (10 enodes) 1539333273.406 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1539333273.406 * [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))))) 1539333273.406 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539333273.407 * * [misc]simplify: iters left: 6 (13 enodes) 1539333273.410 * * [misc]simplify: iters left: 5 (19 enodes) 1539333273.413 * * [misc]simplify: iters left: 4 (28 enodes) 1539333273.418 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.423 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1539333273.423 * [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))))) 1539333273.423 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1539333273.423 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1539333273.423 * * [misc]simplify: iters left: 4 (5 enodes) 1539333273.424 * * [misc]simplify: iters left: 3 (7 enodes) 1539333273.425 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1539333273.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1539333273.425 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.426 * * [misc]simplify: iters left: 6 (13 enodes) 1539333273.429 * * [misc]simplify: iters left: 5 (19 enodes) 1539333273.433 * * [misc]simplify: iters left: 4 (28 enodes) 1539333273.442 * * [misc]simplify: iters left: 3 (30 enodes) 1539333273.454 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333273.454 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1539333273.455 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1539333273.455 * [enter]simplify: Simplifying (/ 1 1) 1539333273.455 * * [misc]simplify: iters left: 2 (2 enodes) 1539333273.456 * * [misc]simplify: iters left: 1 (4 enodes) 1539333273.457 * [exit]simplify: Simplified to 1 1539333273.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1539333273.457 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1539333273.458 * * [misc]simplify: iters left: 6 (12 enodes) 1539333273.464 * * [misc]simplify: iters left: 5 (18 enodes) 1539333273.469 * * [misc]simplify: iters left: 4 (27 enodes) 1539333273.473 * * [misc]simplify: iters left: 3 (29 enodes) 1539333273.478 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1539333273.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1539333273.478 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1539333273.478 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1539333273.478 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1539333273.478 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1539333273.478 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1539333273.479 * * [misc]simplify: iters left: 2 (3 enodes) 1539333273.479 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1539333273.479 * [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)))) 1539333273.479 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1539333273.479 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539333273.480 * * [misc]simplify: iters left: 2 (3 enodes) 1539333273.480 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333273.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1539333273.480 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1539333273.480 * [enter]simplify: Simplifying (sqrt k) 1539333273.480 * * [misc]simplify: iters left: 1 (2 enodes) 1539333273.481 * [exit]simplify: Simplified to (sqrt k) 1539333273.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1539333273.481 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1539333273.481 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539333273.481 * * [misc]simplify: iters left: 5 (7 enodes) 1539333273.483 * * [misc]simplify: iters left: 4 (12 enodes) 1539333273.485 * * [misc]simplify: iters left: 3 (18 enodes) 1539333273.488 * * [misc]simplify: iters left: 2 (20 enodes) 1539333273.491 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539333273.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1539333273.492 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1539333273.492 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539333273.492 * * [misc]simplify: iters left: 5 (7 enodes) 1539333273.494 * * [misc]simplify: iters left: 4 (12 enodes) 1539333273.496 * * [misc]simplify: iters left: 3 (18 enodes) 1539333273.499 * * [misc]simplify: iters left: 2 (20 enodes) 1539333273.502 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539333273.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1539333273.502 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1539333273.503 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1539333273.503 * * [misc]simplify: iters left: 5 (7 enodes) 1539333273.504 * * [misc]simplify: iters left: 4 (9 enodes) 1539333273.506 * * [misc]simplify: iters left: 3 (12 enodes) 1539333273.508 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539333273.508 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333273.508 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1539333273.508 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333273.509 * * [misc]simplify: iters left: 6 (12 enodes) 1539333273.512 * * [misc]simplify: iters left: 5 (18 enodes) 1539333273.519 * * [misc]simplify: iters left: 4 (27 enodes) 1539333273.528 * * [misc]simplify: iters left: 3 (29 enodes) 1539333273.538 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1539333273.538 * [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))))))) 1539333273.538 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1539333273.538 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333273.541 * * [misc]simplify: iters left: 6 (11 enodes) 1539333273.546 * * [misc]simplify: iters left: 5 (17 enodes) 1539333273.552 * * [misc]simplify: iters left: 4 (26 enodes) 1539333273.556 * * [misc]simplify: iters left: 3 (27 enodes) 1539333273.561 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1539333273.561 * [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))))))) 1539333273.561 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1539333273.561 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1539333273.561 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1539333273.561 * * [misc]simplify: iters left: 5 (7 enodes) 1539333273.563 * * [misc]simplify: iters left: 4 (12 enodes) 1539333273.566 * * [misc]simplify: iters left: 3 (18 enodes) 1539333273.569 * * [misc]simplify: iters left: 2 (20 enodes) 1539333273.572 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1539333273.572 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1539333273.572 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1539333273.572 * [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))))) 1539333273.575 * * [misc]simplify: iters left: 6 (37 enodes) 1539333273.589 * * [misc]simplify: iters left: 5 (105 enodes) 1539333273.646 * * [misc]simplify: iters left: 4 (339 enodes) 1539333274.179 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1539333274.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1539333274.179 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1539333274.179 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1539333274.180 * * [misc]simplify: iters left: 6 (15 enodes) 1539333274.185 * * [misc]simplify: iters left: 5 (33 enodes) 1539333274.193 * * [misc]simplify: iters left: 4 (64 enodes) 1539333274.216 * * [misc]simplify: iters left: 3 (171 enodes) 1539333274.379 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1539333274.379 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1539333274.379 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1539333274.379 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1539333274.380 * * [misc]simplify: iters left: 6 (15 enodes) 1539333274.385 * * [misc]simplify: iters left: 5 (30 enodes) 1539333274.395 * * [misc]simplify: iters left: 4 (65 enodes) 1539333274.426 * * [misc]simplify: iters left: 3 (200 enodes) 1539333274.658 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1539333274.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1539333274.658 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1539333274.659 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333274.659 * * [misc]simplify: iters left: 4 (5 enodes) 1539333274.662 * * [misc]simplify: iters left: 3 (9 enodes) 1539333274.666 * * [misc]simplify: iters left: 2 (15 enodes) 1539333274.671 * * [misc]simplify: iters left: 1 (17 enodes) 1539333274.674 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333274.674 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539333274.674 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1539333274.674 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333274.674 * * [misc]simplify: iters left: 4 (5 enodes) 1539333274.676 * * [misc]simplify: iters left: 3 (9 enodes) 1539333274.678 * * [misc]simplify: iters left: 2 (15 enodes) 1539333274.681 * * [misc]simplify: iters left: 1 (17 enodes) 1539333274.683 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333274.683 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539333274.683 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1539333274.684 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333274.684 * * [misc]simplify: iters left: 4 (5 enodes) 1539333274.685 * * [misc]simplify: iters left: 3 (9 enodes) 1539333274.687 * * [misc]simplify: iters left: 2 (15 enodes) 1539333274.690 * * [misc]simplify: iters left: 1 (17 enodes) 1539333274.693 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333274.693 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1539333274.693 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1539333274.693 * [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)))))))))))))))))))))) 1539333274.693 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333274.693 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1539333274.693 * [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)))))))) 1539333274.693 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333274.693 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1539333274.693 * [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))))))))))) 1539333274.693 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333274.693 * * * [misc]progress: adding candidates to table 1539333276.333 * * [misc]progress: iteration 2 / 4 1539333276.333 * * * [misc]progress: picking best candidate 1539333276.402 * * * * [misc]pick: Picked # 1539333276.402 * * * [misc]progress: localizing error 1539333276.411 * * * [misc]progress: generating rewritten candidates 1539333276.411 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1539333276.434 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1539333276.455 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1539333276.528 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1539333276.574 * * * [misc]progress: generating series expansions 1539333276.574 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1539333276.575 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1539333276.575 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1539333276.575 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.575 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.575 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.575 * [misc]taylor: Taking taylor expansion of k in k 1539333276.575 * [misc]backup-simplify: Simplify 0 into 0 1539333276.575 * [misc]backup-simplify: Simplify 1 into 1 1539333276.575 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.575 * [misc]backup-simplify: Simplify 2 into 2 1539333276.575 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333276.575 * [misc]taylor: Taking taylor expansion of n in k 1539333276.575 * [misc]backup-simplify: Simplify n into n 1539333276.575 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.575 * [misc]backup-simplify: Simplify PI into PI 1539333276.575 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333276.575 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333276.575 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333276.576 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333276.576 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.576 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.576 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333276.576 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333276.576 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.576 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.576 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.576 * [misc]taylor: Taking taylor expansion of k in n 1539333276.576 * [misc]backup-simplify: Simplify k into k 1539333276.576 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.576 * [misc]backup-simplify: Simplify 2 into 2 1539333276.576 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.576 * [misc]taylor: Taking taylor expansion of n in n 1539333276.576 * [misc]backup-simplify: Simplify 0 into 0 1539333276.576 * [misc]backup-simplify: Simplify 1 into 1 1539333276.576 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.576 * [misc]backup-simplify: Simplify PI into PI 1539333276.577 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.577 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333276.577 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.578 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333276.578 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.578 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333276.578 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333276.578 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333276.579 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.579 * [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)))) 1539333276.580 * [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))))) 1539333276.580 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.580 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.580 * [misc]taylor: Taking taylor expansion of k in n 1539333276.580 * [misc]backup-simplify: Simplify k into k 1539333276.580 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.580 * [misc]backup-simplify: Simplify 2 into 2 1539333276.580 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.580 * [misc]taylor: Taking taylor expansion of n in n 1539333276.580 * [misc]backup-simplify: Simplify 0 into 0 1539333276.580 * [misc]backup-simplify: Simplify 1 into 1 1539333276.580 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.580 * [misc]backup-simplify: Simplify PI into PI 1539333276.580 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.580 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333276.581 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.581 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333276.581 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.581 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333276.582 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333276.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333276.582 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.582 * [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)))) 1539333276.583 * [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))))) 1539333276.583 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.583 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.583 * [misc]taylor: Taking taylor expansion of k in k 1539333276.583 * [misc]backup-simplify: Simplify 0 into 0 1539333276.583 * [misc]backup-simplify: Simplify 1 into 1 1539333276.583 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of n in k 1539333276.583 * [misc]backup-simplify: Simplify n into n 1539333276.583 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333276.583 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333276.583 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.583 * [misc]backup-simplify: Simplify 2 into 2 1539333276.583 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.583 * [misc]backup-simplify: Simplify PI into PI 1539333276.584 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.584 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.584 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333276.584 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.584 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.585 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.585 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1539333276.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539333276.586 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1539333276.587 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333276.588 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333276.590 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333276.590 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539333276.590 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.590 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.591 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.591 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539333276.592 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333276.592 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.592 * [misc]backup-simplify: Simplify 0 into 0 1539333276.592 * [misc]backup-simplify: Simplify 0 into 0 1539333276.593 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539333276.594 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333276.600 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333276.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.601 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333276.601 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333276.601 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333276.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1539333276.604 * [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))))))) 1539333276.606 * [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))))))) 1539333276.608 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539333276.616 * [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 1539333276.616 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539333276.617 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.617 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.618 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.618 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333276.621 * [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 1539333276.621 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.621 * [misc]backup-simplify: Simplify 0 into 0 1539333276.621 * [misc]backup-simplify: Simplify 0 into 0 1539333276.621 * [misc]backup-simplify: Simplify 0 into 0 1539333276.623 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539333276.624 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.627 * [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 1539333276.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333276.628 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.628 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.628 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1539333276.631 * [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))))) 1539333276.633 * [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))))) 1539333276.638 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) (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))))) 1539333276.639 * [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)))) 1539333276.639 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1539333276.639 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.639 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.639 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of k in k 1539333276.639 * [misc]backup-simplify: Simplify 0 into 0 1539333276.639 * [misc]backup-simplify: Simplify 1 into 1 1539333276.639 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333276.639 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.639 * [misc]backup-simplify: Simplify 2 into 2 1539333276.639 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333276.639 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.639 * [misc]backup-simplify: Simplify PI into PI 1539333276.639 * [misc]taylor: Taking taylor expansion of n in k 1539333276.639 * [misc]backup-simplify: Simplify n into n 1539333276.639 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333276.639 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333276.640 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333276.640 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333276.640 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333276.640 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333276.640 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333276.640 * [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)))) 1539333276.640 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.640 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.640 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.640 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of k in n 1539333276.640 * [misc]backup-simplify: Simplify k into k 1539333276.640 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.640 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333276.640 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333276.641 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.641 * [misc]backup-simplify: Simplify 2 into 2 1539333276.641 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.641 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.641 * [misc]backup-simplify: Simplify PI into PI 1539333276.641 * [misc]taylor: Taking taylor expansion of n in n 1539333276.641 * [misc]backup-simplify: Simplify 0 into 0 1539333276.641 * [misc]backup-simplify: Simplify 1 into 1 1539333276.641 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.641 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.641 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.641 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333276.642 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333276.642 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333276.642 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.643 * [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))) 1539333276.643 * [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)))) 1539333276.643 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.643 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.643 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of k in n 1539333276.643 * [misc]backup-simplify: Simplify k into k 1539333276.643 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.643 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.643 * [misc]backup-simplify: Simplify 2 into 2 1539333276.643 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.643 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.643 * [misc]backup-simplify: Simplify PI into PI 1539333276.644 * [misc]taylor: Taking taylor expansion of n in n 1539333276.644 * [misc]backup-simplify: Simplify 0 into 0 1539333276.644 * [misc]backup-simplify: Simplify 1 into 1 1539333276.644 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.644 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.644 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.644 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333276.644 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333276.645 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333276.645 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.646 * [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))) 1539333276.646 * [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)))) 1539333276.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1539333276.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1539333276.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333276.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.646 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333276.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.646 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333276.646 * [misc]taylor: Taking taylor expansion of k in k 1539333276.646 * [misc]backup-simplify: Simplify 0 into 0 1539333276.646 * [misc]backup-simplify: Simplify 1 into 1 1539333276.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333276.647 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1539333276.647 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1539333276.647 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1539333276.647 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.647 * [misc]backup-simplify: Simplify 2 into 2 1539333276.647 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.647 * [misc]backup-simplify: Simplify PI into PI 1539333276.647 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.647 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333276.647 * [misc]taylor: Taking taylor expansion of n in k 1539333276.647 * [misc]backup-simplify: Simplify n into n 1539333276.647 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333276.647 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333276.648 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333276.648 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333276.648 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333276.648 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1539333276.649 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1539333276.649 * [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)))) 1539333276.649 * [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)))) 1539333276.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333276.651 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333276.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333276.654 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333276.654 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333276.654 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.654 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.655 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.656 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539333276.658 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333276.658 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.658 * [misc]backup-simplify: Simplify 0 into 0 1539333276.658 * [misc]backup-simplify: Simplify 0 into 0 1539333276.658 * [misc]backup-simplify: Simplify 0 into 0 1539333276.659 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.661 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.667 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1539333276.667 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333276.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333276.668 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.668 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.669 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.669 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1539333276.672 * [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 1539333276.672 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.672 * [misc]backup-simplify: Simplify 0 into 0 1539333276.672 * [misc]backup-simplify: Simplify 0 into 0 1539333276.672 * [misc]backup-simplify: Simplify 0 into 0 1539333276.672 * [misc]backup-simplify: Simplify 0 into 0 1539333276.674 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.685 * [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 1539333276.686 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333276.686 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333276.687 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.687 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.687 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.689 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1539333276.693 * [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 1539333276.693 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.693 * [misc]backup-simplify: Simplify 0 into 0 1539333276.693 * [misc]backup-simplify: Simplify 0 into 0 1539333276.694 * [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))))) 1539333276.694 * [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)) 1539333276.694 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1539333276.694 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333276.694 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333276.694 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333276.694 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333276.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333276.694 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.694 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333276.695 * [misc]taylor: Taking taylor expansion of k in k 1539333276.695 * [misc]backup-simplify: Simplify 0 into 0 1539333276.695 * [misc]backup-simplify: Simplify 1 into 1 1539333276.695 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333276.695 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.695 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333276.695 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333276.695 * [misc]taylor: Taking taylor expansion of -2 in k 1539333276.695 * [misc]backup-simplify: Simplify -2 into -2 1539333276.695 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333276.695 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.695 * [misc]backup-simplify: Simplify PI into PI 1539333276.695 * [misc]taylor: Taking taylor expansion of n in k 1539333276.695 * [misc]backup-simplify: Simplify n into n 1539333276.695 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333276.695 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333276.696 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333276.696 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333276.696 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.696 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333276.696 * [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))) 1539333276.697 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of k in n 1539333276.697 * [misc]backup-simplify: Simplify k into k 1539333276.697 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.697 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.697 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of -2 in n 1539333276.697 * [misc]backup-simplify: Simplify -2 into -2 1539333276.697 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.697 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.697 * [misc]backup-simplify: Simplify PI into PI 1539333276.697 * [misc]taylor: Taking taylor expansion of n in n 1539333276.697 * [misc]backup-simplify: Simplify 0 into 0 1539333276.697 * [misc]backup-simplify: Simplify 1 into 1 1539333276.698 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.698 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333276.699 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333276.699 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333276.699 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333276.700 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333276.700 * [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))) 1539333276.701 * [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)))) 1539333276.701 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.701 * [misc]taylor: Taking taylor expansion of k in n 1539333276.701 * [misc]backup-simplify: Simplify k into k 1539333276.702 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.702 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.702 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333276.702 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333276.702 * [misc]taylor: Taking taylor expansion of -2 in n 1539333276.702 * [misc]backup-simplify: Simplify -2 into -2 1539333276.702 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.702 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.702 * [misc]backup-simplify: Simplify PI into PI 1539333276.702 * [misc]taylor: Taking taylor expansion of n in n 1539333276.702 * [misc]backup-simplify: Simplify 0 into 0 1539333276.702 * [misc]backup-simplify: Simplify 1 into 1 1539333276.702 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.702 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333276.703 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333276.703 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333276.703 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333276.704 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333276.705 * [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))) 1539333276.705 * [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)))) 1539333276.706 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of k in k 1539333276.706 * [misc]backup-simplify: Simplify 0 into 0 1539333276.706 * [misc]backup-simplify: Simplify 1 into 1 1539333276.706 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333276.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.706 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1539333276.706 * [misc]taylor: Taking taylor expansion of -2 in k 1539333276.706 * [misc]backup-simplify: Simplify -2 into -2 1539333276.706 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.706 * [misc]backup-simplify: Simplify PI into PI 1539333276.707 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333276.707 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333276.707 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333276.707 * [misc]taylor: Taking taylor expansion of n in k 1539333276.707 * [misc]backup-simplify: Simplify n into n 1539333276.707 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333276.708 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333276.708 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.708 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333276.708 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1539333276.709 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1539333276.710 * [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)))) 1539333276.711 * [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)))) 1539333276.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333276.712 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333276.716 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539333276.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333276.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333276.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333276.718 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1539333276.720 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333276.720 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.720 * [misc]backup-simplify: Simplify 0 into 0 1539333276.720 * [misc]backup-simplify: Simplify 0 into 0 1539333276.720 * [misc]backup-simplify: Simplify 0 into 0 1539333276.722 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.723 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.729 * [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 1539333276.729 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333276.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333276.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.731 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333276.732 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1539333276.734 * [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 1539333276.734 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.734 * [misc]backup-simplify: Simplify 0 into 0 1539333276.734 * [misc]backup-simplify: Simplify 0 into 0 1539333276.734 * [misc]backup-simplify: Simplify 0 into 0 1539333276.734 * [misc]backup-simplify: Simplify 0 into 0 1539333276.739 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.741 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.750 * [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 1539333276.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333276.751 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333276.751 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.752 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333276.753 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1539333276.757 * [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 1539333276.758 * [misc]taylor: Taking taylor expansion of 0 in k 1539333276.758 * [misc]backup-simplify: Simplify 0 into 0 1539333276.758 * [misc]backup-simplify: Simplify 0 into 0 1539333276.759 * [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))))) 1539333276.759 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1539333276.759 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1539333276.759 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1539333276.759 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.759 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.760 * [misc]backup-simplify: Simplify 2 into 2 1539333276.760 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.760 * [misc]taylor: Taking taylor expansion of n in n 1539333276.760 * [misc]backup-simplify: Simplify 0 into 0 1539333276.760 * [misc]backup-simplify: Simplify 1 into 1 1539333276.760 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.760 * [misc]backup-simplify: Simplify PI into PI 1539333276.760 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.760 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.760 * [misc]backup-simplify: Simplify 2 into 2 1539333276.760 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.760 * [misc]taylor: Taking taylor expansion of n in n 1539333276.760 * [misc]backup-simplify: Simplify 0 into 0 1539333276.760 * [misc]backup-simplify: Simplify 1 into 1 1539333276.760 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.760 * [misc]backup-simplify: Simplify PI into PI 1539333276.760 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.761 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333276.761 * [misc]backup-simplify: Simplify 0 into 0 1539333276.761 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.762 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333276.762 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.764 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333276.765 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333276.765 * [misc]backup-simplify: Simplify 0 into 0 1539333276.767 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.768 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1539333276.768 * [misc]backup-simplify: Simplify 0 into 0 1539333276.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333276.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1539333276.773 * [misc]backup-simplify: Simplify 0 into 0 1539333276.777 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333276.779 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1539333276.780 * [misc]backup-simplify: Simplify 0 into 0 1539333276.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333276.787 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1539333276.787 * [misc]backup-simplify: Simplify 0 into 0 1539333276.791 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1539333276.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1539333276.794 * [misc]backup-simplify: Simplify 0 into 0 1539333276.794 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1539333276.794 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1539333276.794 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1539333276.794 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333276.794 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.794 * [misc]backup-simplify: Simplify 2 into 2 1539333276.794 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.794 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.794 * [misc]backup-simplify: Simplify PI into PI 1539333276.794 * [misc]taylor: Taking taylor expansion of n in n 1539333276.794 * [misc]backup-simplify: Simplify 0 into 0 1539333276.794 * [misc]backup-simplify: Simplify 1 into 1 1539333276.795 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.795 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333276.795 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.795 * [misc]backup-simplify: Simplify 2 into 2 1539333276.795 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.795 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.795 * [misc]backup-simplify: Simplify PI into PI 1539333276.795 * [misc]taylor: Taking taylor expansion of n in n 1539333276.795 * [misc]backup-simplify: Simplify 0 into 0 1539333276.795 * [misc]backup-simplify: Simplify 1 into 1 1539333276.795 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.795 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.796 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.796 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333276.797 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333276.797 * [misc]backup-simplify: Simplify 0 into 0 1539333276.798 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.798 * [misc]backup-simplify: Simplify 0 into 0 1539333276.799 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.800 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.800 * [misc]backup-simplify: Simplify 0 into 0 1539333276.802 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.803 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333276.803 * [misc]backup-simplify: Simplify 0 into 0 1539333276.804 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.806 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333276.806 * [misc]backup-simplify: Simplify 0 into 0 1539333276.807 * [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 1539333276.809 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333276.810 * [misc]backup-simplify: Simplify 0 into 0 1539333276.810 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1539333276.810 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1539333276.810 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1539333276.810 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333276.810 * [misc]taylor: Taking taylor expansion of -2 in n 1539333276.810 * [misc]backup-simplify: Simplify -2 into -2 1539333276.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.810 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.810 * [misc]backup-simplify: Simplify PI into PI 1539333276.810 * [misc]taylor: Taking taylor expansion of n in n 1539333276.810 * [misc]backup-simplify: Simplify 0 into 0 1539333276.810 * [misc]backup-simplify: Simplify 1 into 1 1539333276.810 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.810 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333276.810 * [misc]taylor: Taking taylor expansion of -2 in n 1539333276.810 * [misc]backup-simplify: Simplify -2 into -2 1539333276.810 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.810 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.811 * [misc]backup-simplify: Simplify PI into PI 1539333276.811 * [misc]taylor: Taking taylor expansion of n in n 1539333276.811 * [misc]backup-simplify: Simplify 0 into 0 1539333276.811 * [misc]backup-simplify: Simplify 1 into 1 1539333276.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.811 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333276.811 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333276.812 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333276.812 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333276.812 * [misc]backup-simplify: Simplify 0 into 0 1539333276.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.814 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.814 * [misc]backup-simplify: Simplify 0 into 0 1539333276.815 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.816 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333276.816 * [misc]backup-simplify: Simplify 0 into 0 1539333276.817 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.818 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1539333276.818 * [misc]backup-simplify: Simplify 0 into 0 1539333276.820 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333276.823 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1539333276.823 * [misc]backup-simplify: Simplify 0 into 0 1539333276.826 * [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 1539333276.830 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1539333276.830 * [misc]backup-simplify: Simplify 0 into 0 1539333276.831 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1539333276.831 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1539333276.831 * [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)) 1539333276.831 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1539333276.831 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.832 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.832 * [misc]taylor: Taking taylor expansion of k in n 1539333276.832 * [misc]backup-simplify: Simplify k into k 1539333276.832 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.832 * [misc]backup-simplify: Simplify 2 into 2 1539333276.832 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.832 * [misc]taylor: Taking taylor expansion of n in n 1539333276.832 * [misc]backup-simplify: Simplify 0 into 0 1539333276.832 * [misc]backup-simplify: Simplify 1 into 1 1539333276.832 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.832 * [misc]backup-simplify: Simplify PI into PI 1539333276.833 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.833 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333276.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.834 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333276.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.835 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333276.835 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333276.835 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333276.836 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.836 * [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)))) 1539333276.837 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1539333276.837 * [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)))))) 1539333276.837 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333276.837 * [misc]taylor: Taking taylor expansion of k in n 1539333276.837 * [misc]backup-simplify: Simplify k into k 1539333276.837 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333276.837 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333276.837 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.837 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.837 * [misc]taylor: Taking taylor expansion of k in k 1539333276.837 * [misc]backup-simplify: Simplify 0 into 0 1539333276.837 * [misc]backup-simplify: Simplify 1 into 1 1539333276.837 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333276.837 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.837 * [misc]backup-simplify: Simplify 2 into 2 1539333276.837 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333276.838 * [misc]taylor: Taking taylor expansion of n in k 1539333276.838 * [misc]backup-simplify: Simplify n into n 1539333276.838 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.838 * [misc]backup-simplify: Simplify PI into PI 1539333276.838 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333276.838 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333276.838 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333276.838 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333276.838 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.838 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.838 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333276.838 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333276.839 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1539333276.839 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of k in k 1539333276.839 * [misc]backup-simplify: Simplify 0 into 0 1539333276.839 * [misc]backup-simplify: Simplify 1 into 1 1539333276.839 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333276.839 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333276.839 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.839 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.839 * [misc]taylor: Taking taylor expansion of k in k 1539333276.839 * [misc]backup-simplify: Simplify 0 into 0 1539333276.839 * [misc]backup-simplify: Simplify 1 into 1 1539333276.839 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333276.839 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.840 * [misc]backup-simplify: Simplify 2 into 2 1539333276.840 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333276.840 * [misc]taylor: Taking taylor expansion of n in k 1539333276.840 * [misc]backup-simplify: Simplify n into n 1539333276.840 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.840 * [misc]backup-simplify: Simplify PI into PI 1539333276.840 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333276.840 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333276.840 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333276.840 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333276.840 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.840 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333276.840 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333276.840 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333276.841 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1539333276.841 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333276.841 * [misc]taylor: Taking taylor expansion of k in k 1539333276.841 * [misc]backup-simplify: Simplify 0 into 0 1539333276.841 * [misc]backup-simplify: Simplify 1 into 1 1539333276.841 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333276.841 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333276.841 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1539333276.841 * [misc]taylor: Taking taylor expansion of 0 in n 1539333276.841 * [misc]backup-simplify: Simplify 0 into 0 1539333276.841 * [misc]backup-simplify: Simplify 0 into 0 1539333276.842 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539333276.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539333276.843 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539333276.843 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333276.843 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333276.843 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333276.843 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1539333276.844 * [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))))) 1539333276.846 * [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))))) 1539333276.847 * [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)))) 1539333276.847 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333276.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333276.847 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.847 * [misc]taylor: Taking taylor expansion of n in n 1539333276.847 * [misc]backup-simplify: Simplify 0 into 0 1539333276.847 * [misc]backup-simplify: Simplify 1 into 1 1539333276.847 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.847 * [misc]backup-simplify: Simplify PI into PI 1539333276.848 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.848 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.848 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333276.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333276.849 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333276.849 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333276.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.849 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333276.849 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333276.850 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.850 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333276.851 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.853 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.854 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.854 * [misc]backup-simplify: Simplify 0 into 0 1539333276.855 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333276.856 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539333276.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1539333276.859 * [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 1539333276.859 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333276.860 * [misc]backup-simplify: Simplify (- 0) into 0 1539333276.860 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333276.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1539333276.865 * [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))) 1539333276.877 * [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)))))) 1539333276.887 * [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)))))) 1539333276.888 * [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 1539333276.888 * [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 1539333276.888 * [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 1539333276.888 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333276.888 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333276.888 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.888 * [misc]backup-simplify: Simplify 2 into 2 1539333276.888 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333276.888 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333276.888 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.888 * [misc]backup-simplify: Simplify 2 into 2 1539333276.888 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.888 * [misc]taylor: Taking taylor expansion of n in n 1539333276.888 * [misc]backup-simplify: Simplify 0 into 0 1539333276.888 * [misc]backup-simplify: Simplify 1 into 1 1539333276.888 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.888 * [misc]backup-simplify: Simplify PI into PI 1539333276.889 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.889 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333276.889 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.890 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333276.890 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.890 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1539333276.890 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333276.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.890 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333276.890 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333276.890 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539333276.890 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539333276.890 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.890 * [misc]taylor: Taking taylor expansion of n in n 1539333276.890 * [misc]backup-simplify: Simplify 0 into 0 1539333276.890 * [misc]backup-simplify: Simplify 1 into 1 1539333276.890 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.890 * [misc]backup-simplify: Simplify PI into PI 1539333276.891 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.891 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.891 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333276.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333276.892 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333276.892 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333276.892 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333276.892 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333276.892 * [misc]taylor: Taking taylor expansion of n in n 1539333276.892 * [misc]backup-simplify: Simplify 0 into 0 1539333276.892 * [misc]backup-simplify: Simplify 1 into 1 1539333276.892 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.892 * [misc]backup-simplify: Simplify PI into PI 1539333276.892 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333276.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333276.893 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333276.893 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333276.893 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333276.893 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333276.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.894 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333276.894 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333276.894 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.895 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1539333276.895 * [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)))) 1539333276.896 * [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))))) 1539333276.897 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333276.897 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1539333276.898 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333276.899 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333276.901 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333276.902 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1539333276.903 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1539333276.905 * [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))))) 1539333276.906 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1539333276.914 * [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))))) 1539333276.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.915 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333276.917 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.919 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1539333276.931 * [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))))))) 1539333276.946 * [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))))))) 1539333276.960 * [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))))))) 1539333276.962 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1539333276.963 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333276.965 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1539333276.967 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1539333276.970 * [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)))) 1539333276.975 * [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)))) 1539333276.978 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1539333276.979 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1539333276.994 * [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))))))))))) 1539333276.995 * [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))) 1539333276.995 * [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 1539333276.995 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.995 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333276.995 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.995 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of k in n 1539333276.995 * [misc]backup-simplify: Simplify k into k 1539333276.995 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.995 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of 2 in n 1539333276.995 * [misc]backup-simplify: Simplify 2 into 2 1539333276.995 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333276.995 * [misc]taylor: Taking taylor expansion of PI in n 1539333276.995 * [misc]backup-simplify: Simplify PI into PI 1539333276.995 * [misc]taylor: Taking taylor expansion of n in n 1539333276.995 * [misc]backup-simplify: Simplify 0 into 0 1539333276.995 * [misc]backup-simplify: Simplify 1 into 1 1539333276.996 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333276.996 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333276.996 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333276.996 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333276.996 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333276.996 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333276.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333276.997 * [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))) 1539333276.998 * [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)))) 1539333276.998 * [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))))) 1539333276.998 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333276.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333276.998 * [misc]taylor: Taking taylor expansion of k in n 1539333276.998 * [misc]backup-simplify: Simplify k into k 1539333276.998 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333276.999 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333276.999 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333276.999 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333276.999 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333276.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333276.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of k in k 1539333276.999 * [misc]backup-simplify: Simplify 0 into 0 1539333276.999 * [misc]backup-simplify: Simplify 1 into 1 1539333276.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333276.999 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of 2 in k 1539333276.999 * [misc]backup-simplify: Simplify 2 into 2 1539333276.999 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333276.999 * [misc]taylor: Taking taylor expansion of PI in k 1539333276.999 * [misc]backup-simplify: Simplify PI into PI 1539333276.999 * [misc]taylor: Taking taylor expansion of n in k 1539333276.999 * [misc]backup-simplify: Simplify n into n 1539333276.999 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333276.999 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333276.999 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333277.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.000 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333277.000 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333277.000 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333277.000 * [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)))) 1539333277.000 * [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))))) 1539333277.000 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333277.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.000 * [misc]taylor: Taking taylor expansion of k in k 1539333277.000 * [misc]backup-simplify: Simplify 0 into 0 1539333277.000 * [misc]backup-simplify: Simplify 1 into 1 1539333277.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.001 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.001 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.001 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.001 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.001 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.001 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of k in k 1539333277.001 * [misc]backup-simplify: Simplify 0 into 0 1539333277.001 * [misc]backup-simplify: Simplify 1 into 1 1539333277.001 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.001 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of 2 in k 1539333277.001 * [misc]backup-simplify: Simplify 2 into 2 1539333277.001 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.001 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.001 * [misc]backup-simplify: Simplify PI into PI 1539333277.001 * [misc]taylor: Taking taylor expansion of n in k 1539333277.001 * [misc]backup-simplify: Simplify n into n 1539333277.001 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.002 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333277.002 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333277.002 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.002 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333277.002 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333277.002 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333277.002 * [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)))) 1539333277.002 * [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))))) 1539333277.002 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333277.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.003 * [misc]taylor: Taking taylor expansion of k in k 1539333277.003 * [misc]backup-simplify: Simplify 0 into 0 1539333277.003 * [misc]backup-simplify: Simplify 1 into 1 1539333277.003 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.003 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.003 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.003 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1539333277.003 * [misc]taylor: Taking taylor expansion of 0 in n 1539333277.003 * [misc]backup-simplify: Simplify 0 into 0 1539333277.003 * [misc]backup-simplify: Simplify 0 into 0 1539333277.004 * [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 1539333277.004 * [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))))))) 1539333277.004 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.004 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.004 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of k in n 1539333277.004 * [misc]backup-simplify: Simplify k into k 1539333277.004 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.004 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.004 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.005 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.005 * [misc]backup-simplify: Simplify 2 into 2 1539333277.005 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.005 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.005 * [misc]backup-simplify: Simplify PI into PI 1539333277.005 * [misc]taylor: Taking taylor expansion of n in n 1539333277.005 * [misc]backup-simplify: Simplify 0 into 0 1539333277.005 * [misc]backup-simplify: Simplify 1 into 1 1539333277.005 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.005 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.005 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.006 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.007 * [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))) 1539333277.007 * [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)))) 1539333277.008 * [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))))) 1539333277.008 * [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))))) 1539333277.009 * [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))))))) 1539333277.010 * [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))))))) 1539333277.010 * [misc]backup-simplify: Simplify 0 into 0 1539333277.011 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333277.012 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333277.013 * [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 1539333277.013 * [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))))))) 1539333277.013 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.014 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.014 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of k in n 1539333277.014 * [misc]backup-simplify: Simplify k into k 1539333277.014 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.014 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.014 * [misc]backup-simplify: Simplify 2 into 2 1539333277.014 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.014 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.014 * [misc]backup-simplify: Simplify PI into PI 1539333277.014 * [misc]taylor: Taking taylor expansion of n in n 1539333277.014 * [misc]backup-simplify: Simplify 0 into 0 1539333277.014 * [misc]backup-simplify: Simplify 1 into 1 1539333277.015 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.015 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.016 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.016 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.016 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.016 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.017 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.018 * [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))) 1539333277.018 * [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)))) 1539333277.019 * [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))))) 1539333277.020 * [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))))) 1539333277.021 * [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))))))) 1539333277.022 * [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))))))) 1539333277.023 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333277.024 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333277.027 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333277.027 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333277.028 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333277.028 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.028 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.029 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.029 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539333277.031 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333277.033 * [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 1539333277.034 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1539333277.034 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.034 * [misc]backup-simplify: Simplify 0 into 0 1539333277.034 * [misc]backup-simplify: Simplify 0 into 0 1539333277.035 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333277.036 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333277.037 * [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 1539333277.038 * [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))))))) 1539333277.039 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.039 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.039 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.039 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of k in n 1539333277.039 * [misc]backup-simplify: Simplify k into k 1539333277.039 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.039 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.039 * [misc]backup-simplify: Simplify 2 into 2 1539333277.039 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.039 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.039 * [misc]backup-simplify: Simplify PI into PI 1539333277.039 * [misc]taylor: Taking taylor expansion of n in n 1539333277.039 * [misc]backup-simplify: Simplify 0 into 0 1539333277.039 * [misc]backup-simplify: Simplify 1 into 1 1539333277.040 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.040 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.041 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.041 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.041 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.041 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.043 * [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))) 1539333277.044 * [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)))) 1539333277.045 * [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))))) 1539333277.045 * [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))))) 1539333277.046 * [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))))))) 1539333277.047 * [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))))))) 1539333277.051 * [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)))))))))))) 1539333277.051 * [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))) 1539333277.051 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1539333277.051 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.051 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333277.051 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333277.051 * [misc]taylor: Taking taylor expansion of -1 in n 1539333277.051 * [misc]backup-simplify: Simplify -1 into -1 1539333277.051 * [misc]taylor: Taking taylor expansion of k in n 1539333277.051 * [misc]backup-simplify: Simplify k into k 1539333277.051 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333277.052 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333277.052 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333277.052 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333277.052 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.052 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of k in n 1539333277.052 * [misc]backup-simplify: Simplify k into k 1539333277.052 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.052 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.052 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.052 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.052 * [misc]backup-simplify: Simplify -2 into -2 1539333277.052 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.052 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.052 * [misc]backup-simplify: Simplify PI into PI 1539333277.052 * [misc]taylor: Taking taylor expansion of n in n 1539333277.053 * [misc]backup-simplify: Simplify 0 into 0 1539333277.053 * [misc]backup-simplify: Simplify 1 into 1 1539333277.053 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.053 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.054 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.054 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.054 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.055 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.056 * [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))) 1539333277.056 * [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)))) 1539333277.057 * [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))))) 1539333277.057 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333277.057 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333277.057 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333277.058 * [misc]taylor: Taking taylor expansion of -1 in k 1539333277.058 * [misc]backup-simplify: Simplify -1 into -1 1539333277.058 * [misc]taylor: Taking taylor expansion of k in k 1539333277.058 * [misc]backup-simplify: Simplify 0 into 0 1539333277.058 * [misc]backup-simplify: Simplify 1 into 1 1539333277.058 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333277.058 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.058 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333277.058 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of k in k 1539333277.059 * [misc]backup-simplify: Simplify 0 into 0 1539333277.059 * [misc]backup-simplify: Simplify 1 into 1 1539333277.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.059 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of -2 in k 1539333277.059 * [misc]backup-simplify: Simplify -2 into -2 1539333277.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.059 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.059 * [misc]backup-simplify: Simplify PI into PI 1539333277.059 * [misc]taylor: Taking taylor expansion of n in k 1539333277.059 * [misc]backup-simplify: Simplify n into n 1539333277.059 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.060 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333277.060 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333277.060 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.060 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333277.061 * [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))) 1539333277.061 * [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)))) 1539333277.061 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333277.061 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333277.061 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333277.061 * [misc]taylor: Taking taylor expansion of -1 in k 1539333277.061 * [misc]backup-simplify: Simplify -1 into -1 1539333277.061 * [misc]taylor: Taking taylor expansion of k in k 1539333277.061 * [misc]backup-simplify: Simplify 0 into 0 1539333277.061 * [misc]backup-simplify: Simplify 1 into 1 1539333277.062 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333277.062 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.062 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333277.062 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333277.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333277.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333277.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333277.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.063 * [misc]taylor: Taking taylor expansion of k in k 1539333277.063 * [misc]backup-simplify: Simplify 0 into 0 1539333277.063 * [misc]backup-simplify: Simplify 1 into 1 1539333277.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.063 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333277.063 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333277.063 * [misc]taylor: Taking taylor expansion of -2 in k 1539333277.063 * [misc]backup-simplify: Simplify -2 into -2 1539333277.063 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.063 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.063 * [misc]backup-simplify: Simplify PI into PI 1539333277.063 * [misc]taylor: Taking taylor expansion of n in k 1539333277.063 * [misc]backup-simplify: Simplify n into n 1539333277.063 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.063 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333277.064 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333277.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.064 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333277.065 * [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))) 1539333277.065 * [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)))) 1539333277.065 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.065 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.065 * [misc]backup-simplify: Simplify -2 into -2 1539333277.065 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.065 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.065 * [misc]backup-simplify: Simplify PI into PI 1539333277.066 * [misc]taylor: Taking taylor expansion of n in n 1539333277.066 * [misc]backup-simplify: Simplify 0 into 0 1539333277.066 * [misc]backup-simplify: Simplify 1 into 1 1539333277.066 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.066 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.067 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.067 * [misc]taylor: Taking taylor expansion of k in n 1539333277.067 * [misc]backup-simplify: Simplify k into k 1539333277.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.068 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.068 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.069 * [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))) 1539333277.070 * [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)))) 1539333277.071 * [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))))) 1539333277.071 * [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))))) 1539333277.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333277.073 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333277.074 * [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)))))) 1539333277.074 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.074 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.074 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.074 * [misc]backup-simplify: Simplify -2 into -2 1539333277.074 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.075 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.075 * [misc]backup-simplify: Simplify PI into PI 1539333277.075 * [misc]taylor: Taking taylor expansion of n in n 1539333277.075 * [misc]backup-simplify: Simplify 0 into 0 1539333277.075 * [misc]backup-simplify: Simplify 1 into 1 1539333277.075 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.075 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.076 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.076 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.076 * [misc]taylor: Taking taylor expansion of k in n 1539333277.076 * [misc]backup-simplify: Simplify k into k 1539333277.076 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.077 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.077 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.077 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.078 * [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))) 1539333277.079 * [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)))) 1539333277.080 * [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))))) 1539333277.081 * [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))))) 1539333277.082 * [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))))))) 1539333277.083 * [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))))))) 1539333277.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.084 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333277.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333277.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333277.086 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333277.090 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539333277.091 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1539333277.093 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333277.095 * [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 1539333277.096 * [misc]backup-simplify: Simplify 0 into 0 1539333277.096 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333277.097 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333277.099 * [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)))))) 1539333277.100 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.100 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.100 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.100 * [misc]backup-simplify: Simplify -2 into -2 1539333277.100 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.100 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.100 * [misc]backup-simplify: Simplify PI into PI 1539333277.100 * [misc]taylor: Taking taylor expansion of n in n 1539333277.100 * [misc]backup-simplify: Simplify 0 into 0 1539333277.100 * [misc]backup-simplify: Simplify 1 into 1 1539333277.100 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.101 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.101 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.101 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.101 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.101 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.102 * [misc]taylor: Taking taylor expansion of k in n 1539333277.102 * [misc]backup-simplify: Simplify k into k 1539333277.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.102 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.103 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.103 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.103 * [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))) 1539333277.104 * [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)))) 1539333277.105 * [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))))) 1539333277.106 * [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))))) 1539333277.107 * [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))))))) 1539333277.108 * [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))))))) 1539333277.111 * [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)))))))))))) 1539333277.111 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1539333277.112 * [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)))) 1539333277.112 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1539333277.112 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1539333277.112 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333277.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.112 * [misc]taylor: Taking taylor expansion of k in n 1539333277.112 * [misc]backup-simplify: Simplify k into k 1539333277.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.113 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333277.113 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333277.113 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333277.113 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.113 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.113 * [misc]taylor: Taking taylor expansion of k in n 1539333277.113 * [misc]backup-simplify: Simplify k into k 1539333277.113 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.113 * [misc]backup-simplify: Simplify 2 into 2 1539333277.113 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.113 * [misc]taylor: Taking taylor expansion of n in n 1539333277.113 * [misc]backup-simplify: Simplify 0 into 0 1539333277.113 * [misc]backup-simplify: Simplify 1 into 1 1539333277.113 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.114 * [misc]backup-simplify: Simplify PI into PI 1539333277.114 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.114 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333277.115 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.116 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333277.116 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.116 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333277.116 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333277.117 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333277.117 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.118 * [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)))) 1539333277.121 * [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))))) 1539333277.121 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539333277.121 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333277.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.121 * [misc]taylor: Taking taylor expansion of k in k 1539333277.121 * [misc]backup-simplify: Simplify 0 into 0 1539333277.121 * [misc]backup-simplify: Simplify 1 into 1 1539333277.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.121 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.122 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.122 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.122 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.122 * [misc]taylor: Taking taylor expansion of k in k 1539333277.122 * [misc]backup-simplify: Simplify 0 into 0 1539333277.122 * [misc]backup-simplify: Simplify 1 into 1 1539333277.122 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of 2 in k 1539333277.122 * [misc]backup-simplify: Simplify 2 into 2 1539333277.122 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333277.122 * [misc]taylor: Taking taylor expansion of n in k 1539333277.123 * [misc]backup-simplify: Simplify n into n 1539333277.123 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.123 * [misc]backup-simplify: Simplify PI into PI 1539333277.123 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333277.123 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333277.123 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333277.123 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333277.123 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.124 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.124 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333277.124 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333277.124 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1539333277.124 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333277.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.124 * [misc]taylor: Taking taylor expansion of k in k 1539333277.124 * [misc]backup-simplify: Simplify 0 into 0 1539333277.124 * [misc]backup-simplify: Simplify 1 into 1 1539333277.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.125 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.125 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.125 * [misc]taylor: Taking taylor expansion of k in k 1539333277.125 * [misc]backup-simplify: Simplify 0 into 0 1539333277.125 * [misc]backup-simplify: Simplify 1 into 1 1539333277.125 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1539333277.125 * [misc]taylor: Taking taylor expansion of 2 in k 1539333277.126 * [misc]backup-simplify: Simplify 2 into 2 1539333277.126 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1539333277.126 * [misc]taylor: Taking taylor expansion of n in k 1539333277.126 * [misc]backup-simplify: Simplify n into n 1539333277.126 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.126 * [misc]backup-simplify: Simplify PI into PI 1539333277.126 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1539333277.126 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1539333277.126 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1539333277.126 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333277.126 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.127 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.127 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1539333277.127 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1539333277.128 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1539333277.128 * [misc]taylor: Taking taylor expansion of 0 in n 1539333277.128 * [misc]backup-simplify: Simplify 0 into 0 1539333277.128 * [misc]backup-simplify: Simplify 0 into 0 1539333277.128 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1539333277.129 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1539333277.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1539333277.130 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333277.130 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333277.130 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333277.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1539333277.132 * [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))))) 1539333277.133 * [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))))) 1539333277.133 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.133 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.133 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.133 * [misc]backup-simplify: Simplify 2 into 2 1539333277.133 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.133 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.133 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.133 * [misc]taylor: Taking taylor expansion of n in n 1539333277.133 * [misc]backup-simplify: Simplify 0 into 0 1539333277.134 * [misc]backup-simplify: Simplify 1 into 1 1539333277.134 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.134 * [misc]backup-simplify: Simplify PI into PI 1539333277.134 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.135 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.135 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.135 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.136 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333277.136 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.136 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.136 * [misc]backup-simplify: Simplify 0 into 0 1539333277.136 * [misc]backup-simplify: Simplify 0 into 0 1539333277.137 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1539333277.137 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1539333277.140 * [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 1539333277.140 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333277.140 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.141 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1539333277.144 * [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))) 1539333277.144 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333277.146 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333277.148 * [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))))))) 1539333277.148 * [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 1539333277.148 * [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 1539333277.148 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1539333277.148 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.148 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.148 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1539333277.148 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1539333277.148 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.148 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.148 * [misc]backup-simplify: Simplify 2 into 2 1539333277.149 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.149 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.149 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333277.149 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333277.149 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.149 * [misc]backup-simplify: Simplify 2 into 2 1539333277.149 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.149 * [misc]taylor: Taking taylor expansion of n in n 1539333277.149 * [misc]backup-simplify: Simplify 0 into 0 1539333277.149 * [misc]backup-simplify: Simplify 1 into 1 1539333277.149 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.149 * [misc]backup-simplify: Simplify PI into PI 1539333277.149 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.150 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333277.150 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.151 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333277.152 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.152 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.152 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.152 * [misc]taylor: Taking taylor expansion of n in n 1539333277.152 * [misc]backup-simplify: Simplify 0 into 0 1539333277.152 * [misc]backup-simplify: Simplify 1 into 1 1539333277.152 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.152 * [misc]backup-simplify: Simplify PI into PI 1539333277.152 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.153 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.153 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.154 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.154 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.154 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.154 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.154 * [misc]backup-simplify: Simplify 2 into 2 1539333277.154 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.154 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.154 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.154 * [misc]taylor: Taking taylor expansion of n in n 1539333277.154 * [misc]backup-simplify: Simplify 0 into 0 1539333277.154 * [misc]backup-simplify: Simplify 1 into 1 1539333277.155 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.155 * [misc]backup-simplify: Simplify PI into PI 1539333277.155 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.156 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.156 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.156 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.157 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.158 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1539333277.159 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1539333277.159 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.159 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333277.159 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.159 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.160 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.160 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.160 * [misc]backup-simplify: Simplify 0 into 0 1539333277.161 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.163 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.165 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.166 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.166 * [misc]backup-simplify: Simplify 0 into 0 1539333277.167 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1539333277.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1539333277.172 * [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 1539333277.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333277.173 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.174 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1539333277.177 * [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))) 1539333277.178 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333277.179 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333277.184 * [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))))))))) 1539333277.184 * [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 1539333277.184 * [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 1539333277.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1539333277.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.184 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1539333277.184 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1539333277.184 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.185 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.185 * [misc]backup-simplify: Simplify 2 into 2 1539333277.185 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.185 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333277.185 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333277.185 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.185 * [misc]backup-simplify: Simplify 2 into 2 1539333277.185 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.185 * [misc]taylor: Taking taylor expansion of n in n 1539333277.185 * [misc]backup-simplify: Simplify 0 into 0 1539333277.185 * [misc]backup-simplify: Simplify 1 into 1 1539333277.185 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.186 * [misc]backup-simplify: Simplify PI into PI 1539333277.186 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.186 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333277.187 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.188 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333277.188 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.188 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.188 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.188 * [misc]taylor: Taking taylor expansion of n in n 1539333277.188 * [misc]backup-simplify: Simplify 0 into 0 1539333277.188 * [misc]backup-simplify: Simplify 1 into 1 1539333277.188 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.188 * [misc]backup-simplify: Simplify PI into PI 1539333277.189 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.189 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.190 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.190 * [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 1539333277.190 * [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 1539333277.190 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1539333277.190 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.190 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.190 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1539333277.190 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1539333277.190 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.190 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.190 * [misc]backup-simplify: Simplify 2 into 2 1539333277.191 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.191 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.191 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1539333277.191 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1539333277.191 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1539333277.191 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.191 * [misc]backup-simplify: Simplify 2 into 2 1539333277.191 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.191 * [misc]taylor: Taking taylor expansion of n in n 1539333277.191 * [misc]backup-simplify: Simplify 0 into 0 1539333277.191 * [misc]backup-simplify: Simplify 1 into 1 1539333277.191 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.191 * [misc]backup-simplify: Simplify PI into PI 1539333277.191 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.192 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333277.192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.192 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1539333277.193 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.193 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.193 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.193 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.193 * [misc]taylor: Taking taylor expansion of n in n 1539333277.193 * [misc]backup-simplify: Simplify 0 into 0 1539333277.193 * [misc]backup-simplify: Simplify 1 into 1 1539333277.193 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.193 * [misc]backup-simplify: Simplify PI into PI 1539333277.194 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.194 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.194 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.194 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.195 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.195 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.195 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.195 * [misc]backup-simplify: Simplify 2 into 2 1539333277.195 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333277.195 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333277.195 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333277.195 * [misc]taylor: Taking taylor expansion of n in n 1539333277.195 * [misc]backup-simplify: Simplify 0 into 0 1539333277.195 * [misc]backup-simplify: Simplify 1 into 1 1539333277.195 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.195 * [misc]backup-simplify: Simplify PI into PI 1539333277.195 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333277.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333277.196 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.196 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333277.197 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.197 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1539333277.198 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1539333277.198 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.198 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.199 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.200 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1539333277.200 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1539333277.201 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1539333277.201 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.202 * [misc]backup-simplify: Simplify 0 into 0 1539333277.203 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333277.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1539333277.206 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333277.206 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1539333277.207 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1539333277.207 * [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)))))))) 1539333277.209 * [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)))))))) 1539333277.210 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.211 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.212 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333277.215 * [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)))))))))) 1539333277.217 * [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))))))) 1539333277.219 * [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))))))) 1539333277.221 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333277.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539333277.224 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539333277.227 * [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)))) 1539333277.232 * [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)))) 1539333277.235 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539333277.236 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539333277.242 * [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))))))))))))) 1539333277.243 * [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))))) 1539333277.243 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1539333277.243 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of k in n 1539333277.243 * [misc]backup-simplify: Simplify k into k 1539333277.243 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333277.243 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333277.243 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of k in n 1539333277.243 * [misc]backup-simplify: Simplify k into k 1539333277.243 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.243 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.243 * [misc]backup-simplify: Simplify 2 into 2 1539333277.243 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.243 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.243 * [misc]backup-simplify: Simplify PI into PI 1539333277.243 * [misc]taylor: Taking taylor expansion of n in n 1539333277.243 * [misc]backup-simplify: Simplify 0 into 0 1539333277.243 * [misc]backup-simplify: Simplify 1 into 1 1539333277.244 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.244 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.244 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.244 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.244 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.244 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.245 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.245 * [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))) 1539333277.246 * [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)))) 1539333277.246 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of k in k 1539333277.246 * [misc]backup-simplify: Simplify 0 into 0 1539333277.246 * [misc]backup-simplify: Simplify 1 into 1 1539333277.246 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.246 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.246 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333277.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.247 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.247 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.247 * [misc]taylor: Taking taylor expansion of k in k 1539333277.247 * [misc]backup-simplify: Simplify 0 into 0 1539333277.247 * [misc]backup-simplify: Simplify 1 into 1 1539333277.247 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.247 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333277.247 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333277.247 * [misc]taylor: Taking taylor expansion of 2 in k 1539333277.247 * [misc]backup-simplify: Simplify 2 into 2 1539333277.247 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.247 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.247 * [misc]backup-simplify: Simplify PI into PI 1539333277.247 * [misc]taylor: Taking taylor expansion of n in k 1539333277.247 * [misc]backup-simplify: Simplify n into n 1539333277.247 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.247 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333277.247 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333277.247 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.247 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333277.247 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333277.248 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333277.248 * [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)))) 1539333277.248 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of k in k 1539333277.248 * [misc]backup-simplify: Simplify 0 into 0 1539333277.248 * [misc]backup-simplify: Simplify 1 into 1 1539333277.248 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.248 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333277.248 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.248 * [misc]taylor: Taking taylor expansion of k in k 1539333277.248 * [misc]backup-simplify: Simplify 0 into 0 1539333277.248 * [misc]backup-simplify: Simplify 1 into 1 1539333277.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1539333277.249 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1539333277.249 * [misc]taylor: Taking taylor expansion of 2 in k 1539333277.249 * [misc]backup-simplify: Simplify 2 into 2 1539333277.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.249 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.249 * [misc]backup-simplify: Simplify PI into PI 1539333277.249 * [misc]taylor: Taking taylor expansion of n in k 1539333277.249 * [misc]backup-simplify: Simplify n into n 1539333277.249 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.249 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1539333277.249 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1539333277.249 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.249 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333277.250 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333277.250 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1539333277.250 * [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)))) 1539333277.250 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1539333277.250 * [misc]taylor: Taking taylor expansion of 0 in n 1539333277.250 * [misc]backup-simplify: Simplify 0 into 0 1539333277.250 * [misc]backup-simplify: Simplify 0 into 0 1539333277.250 * [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)))))) 1539333277.250 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.250 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.250 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.251 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.251 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.251 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.251 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of k in n 1539333277.251 * [misc]backup-simplify: Simplify k into k 1539333277.251 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.251 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.251 * [misc]backup-simplify: Simplify 2 into 2 1539333277.251 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.251 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.251 * [misc]backup-simplify: Simplify PI into PI 1539333277.251 * [misc]taylor: Taking taylor expansion of n in n 1539333277.251 * [misc]backup-simplify: Simplify 0 into 0 1539333277.251 * [misc]backup-simplify: Simplify 1 into 1 1539333277.251 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.251 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.252 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.252 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.252 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.252 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.252 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.253 * [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))) 1539333277.253 * [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)))) 1539333277.254 * [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))))) 1539333277.254 * [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)))))) 1539333277.255 * [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)))))) 1539333277.255 * [misc]backup-simplify: Simplify 0 into 0 1539333277.256 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333277.256 * [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)))))) 1539333277.256 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.256 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.256 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.256 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.256 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.256 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of k in n 1539333277.256 * [misc]backup-simplify: Simplify k into k 1539333277.256 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.256 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.256 * [misc]backup-simplify: Simplify 2 into 2 1539333277.256 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.256 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.256 * [misc]backup-simplify: Simplify PI into PI 1539333277.256 * [misc]taylor: Taking taylor expansion of n in n 1539333277.256 * [misc]backup-simplify: Simplify 0 into 0 1539333277.256 * [misc]backup-simplify: Simplify 1 into 1 1539333277.257 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.257 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.257 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.257 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.257 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.257 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.258 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.258 * [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))) 1539333277.259 * [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)))) 1539333277.259 * [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))))) 1539333277.260 * [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)))))) 1539333277.260 * [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)))))) 1539333277.261 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333277.262 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1539333277.263 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1539333277.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333277.264 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333277.264 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.264 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.265 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1539333277.266 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333277.266 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1539333277.267 * [misc]backup-simplify: Simplify (- 0) into 0 1539333277.267 * [misc]backup-simplify: Simplify 0 into 0 1539333277.267 * [misc]backup-simplify: Simplify 0 into 0 1539333277.268 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333277.268 * [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)))))) 1539333277.268 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.268 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.268 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of k in n 1539333277.268 * [misc]backup-simplify: Simplify k into k 1539333277.268 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.268 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of 2 in n 1539333277.268 * [misc]backup-simplify: Simplify 2 into 2 1539333277.268 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.268 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.269 * [misc]backup-simplify: Simplify PI into PI 1539333277.269 * [misc]taylor: Taking taylor expansion of n in n 1539333277.269 * [misc]backup-simplify: Simplify 0 into 0 1539333277.269 * [misc]backup-simplify: Simplify 1 into 1 1539333277.269 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.269 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1539333277.269 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1539333277.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.269 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333277.269 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333277.270 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1539333277.270 * [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))) 1539333277.271 * [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)))) 1539333277.272 * [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))))) 1539333277.272 * [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)))))) 1539333277.273 * [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)))))) 1539333277.277 * [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)))))))) 1539333277.277 * [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))) 1539333277.278 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1539333277.278 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of k in n 1539333277.278 * [misc]backup-simplify: Simplify k into k 1539333277.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.278 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.278 * [misc]backup-simplify: Simplify -2 into -2 1539333277.278 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.278 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.278 * [misc]backup-simplify: Simplify PI into PI 1539333277.278 * [misc]taylor: Taking taylor expansion of n in n 1539333277.278 * [misc]backup-simplify: Simplify 0 into 0 1539333277.278 * [misc]backup-simplify: Simplify 1 into 1 1539333277.279 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.279 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.280 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.280 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.280 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.281 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.281 * [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))) 1539333277.282 * [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)))) 1539333277.282 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333277.282 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333277.282 * [misc]taylor: Taking taylor expansion of -1 in n 1539333277.282 * [misc]backup-simplify: Simplify -1 into -1 1539333277.282 * [misc]taylor: Taking taylor expansion of k in n 1539333277.282 * [misc]backup-simplify: Simplify k into k 1539333277.282 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333277.282 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333277.282 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333277.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333277.283 * [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))) 1539333277.283 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1539333277.283 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333277.283 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of k in k 1539333277.284 * [misc]backup-simplify: Simplify 0 into 0 1539333277.284 * [misc]backup-simplify: Simplify 1 into 1 1539333277.284 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.284 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.284 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of -2 in k 1539333277.284 * [misc]backup-simplify: Simplify -2 into -2 1539333277.284 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.284 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.284 * [misc]backup-simplify: Simplify PI into PI 1539333277.284 * [misc]taylor: Taking taylor expansion of n in k 1539333277.284 * [misc]backup-simplify: Simplify n into n 1539333277.284 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.284 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333277.285 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333277.285 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.285 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.285 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333277.285 * [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))) 1539333277.285 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333277.285 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333277.285 * [misc]taylor: Taking taylor expansion of -1 in k 1539333277.286 * [misc]backup-simplify: Simplify -1 into -1 1539333277.286 * [misc]taylor: Taking taylor expansion of k in k 1539333277.286 * [misc]backup-simplify: Simplify 0 into 0 1539333277.286 * [misc]backup-simplify: Simplify 1 into 1 1539333277.286 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333277.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.286 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333277.287 * [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)))) 1539333277.287 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of k in k 1539333277.287 * [misc]backup-simplify: Simplify 0 into 0 1539333277.287 * [misc]backup-simplify: Simplify 1 into 1 1539333277.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333277.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333277.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.287 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of -2 in k 1539333277.287 * [misc]backup-simplify: Simplify -2 into -2 1539333277.287 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1539333277.287 * [misc]taylor: Taking taylor expansion of PI in k 1539333277.288 * [misc]backup-simplify: Simplify PI into PI 1539333277.288 * [misc]taylor: Taking taylor expansion of n in k 1539333277.288 * [misc]backup-simplify: Simplify n into n 1539333277.288 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1539333277.288 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1539333277.288 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1539333277.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333277.288 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333277.289 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1539333277.289 * [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))) 1539333277.289 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333277.289 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333277.289 * [misc]taylor: Taking taylor expansion of -1 in k 1539333277.289 * [misc]backup-simplify: Simplify -1 into -1 1539333277.289 * [misc]taylor: Taking taylor expansion of k in k 1539333277.289 * [misc]backup-simplify: Simplify 0 into 0 1539333277.289 * [misc]backup-simplify: Simplify 1 into 1 1539333277.289 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333277.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333277.290 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333277.290 * [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)))) 1539333277.290 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.290 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.290 * [misc]backup-simplify: Simplify -2 into -2 1539333277.290 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.290 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.290 * [misc]backup-simplify: Simplify PI into PI 1539333277.290 * [misc]taylor: Taking taylor expansion of n in n 1539333277.291 * [misc]backup-simplify: Simplify 0 into 0 1539333277.291 * [misc]backup-simplify: Simplify 1 into 1 1539333277.291 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.291 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.292 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.292 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.292 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.292 * [misc]taylor: Taking taylor expansion of k in n 1539333277.292 * [misc]backup-simplify: Simplify k into k 1539333277.292 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.292 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.292 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.293 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.293 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.293 * [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))) 1539333277.294 * [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)))) 1539333277.295 * [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))))) 1539333277.296 * [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))))) 1539333277.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333277.297 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333277.298 * [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))))) 1539333277.298 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.298 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.298 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.298 * [misc]backup-simplify: Simplify -2 into -2 1539333277.298 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.298 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.298 * [misc]backup-simplify: Simplify PI into PI 1539333277.298 * [misc]taylor: Taking taylor expansion of n in n 1539333277.298 * [misc]backup-simplify: Simplify 0 into 0 1539333277.298 * [misc]backup-simplify: Simplify 1 into 1 1539333277.298 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.299 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.299 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.299 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.299 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.299 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.299 * [misc]taylor: Taking taylor expansion of k in n 1539333277.299 * [misc]backup-simplify: Simplify k into k 1539333277.299 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.299 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.299 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.300 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.301 * [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))) 1539333277.302 * [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)))) 1539333277.303 * [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))))) 1539333277.303 * [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)))))) 1539333277.304 * [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)))))) 1539333277.305 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.305 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333277.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333277.305 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333277.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1539333277.307 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1539333277.310 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1539333277.311 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1539333277.312 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333277.313 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1539333277.313 * [misc]backup-simplify: Simplify 0 into 0 1539333277.313 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333277.314 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333277.316 * [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))))) 1539333277.316 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333277.316 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333277.316 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of -2 in n 1539333277.316 * [misc]backup-simplify: Simplify -2 into -2 1539333277.316 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1539333277.316 * [misc]taylor: Taking taylor expansion of PI in n 1539333277.316 * [misc]backup-simplify: Simplify PI into PI 1539333277.316 * [misc]taylor: Taking taylor expansion of n in n 1539333277.316 * [misc]backup-simplify: Simplify 0 into 0 1539333277.316 * [misc]backup-simplify: Simplify 1 into 1 1539333277.316 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1539333277.317 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1539333277.317 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1539333277.317 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333277.317 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333277.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.317 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333277.317 * [misc]taylor: Taking taylor expansion of k in n 1539333277.317 * [misc]backup-simplify: Simplify k into k 1539333277.317 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333277.317 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333277.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333277.318 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1539333277.318 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333277.318 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333277.319 * [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))) 1539333277.320 * [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)))) 1539333277.320 * [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))))) 1539333277.321 * [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)))))) 1539333277.322 * [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)))))) 1539333277.326 * [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))))))))))) 1539333277.326 * * * [misc]progress: simplifying candidates 1539333277.326 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1539333277.326 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1539333277.327 * * [misc]simplify: iters left: 6 (11 enodes) 1539333277.333 * * [misc]simplify: iters left: 5 (21 enodes) 1539333277.344 * * [misc]simplify: iters left: 4 (47 enodes) 1539333277.374 * * [misc]simplify: iters left: 3 (109 enodes) 1539333277.430 * * [misc]simplify: iters left: 2 (300 enodes) 1539333277.864 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1539333277.864 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1539333277.864 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1539333277.865 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1539333277.865 * [enter]simplify: Simplifying (* PI (* n 2)) 1539333277.865 * * [misc]simplify: iters left: 4 (5 enodes) 1539333277.868 * * [misc]simplify: iters left: 3 (9 enodes) 1539333277.872 * * [misc]simplify: iters left: 2 (15 enodes) 1539333277.877 * * [misc]simplify: iters left: 1 (17 enodes) 1539333277.882 * [exit]simplify: Simplified to (* (* 2 n) PI) 1539333277.882 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1539333277.882 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1539333277.883 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539333277.884 * * [misc]simplify: iters left: 5 (8 enodes) 1539333277.887 * * [misc]simplify: iters left: 4 (12 enodes) 1539333277.892 * * [misc]simplify: iters left: 3 (18 enodes) 1539333277.898 * * [misc]simplify: iters left: 2 (20 enodes) 1539333277.905 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539333277.905 * [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)))))) 1539333277.905 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1539333277.905 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333277.906 * * [misc]simplify: iters left: 5 (6 enodes) 1539333277.908 * * [misc]simplify: iters left: 4 (8 enodes) 1539333277.911 * * [misc]simplify: iters left: 3 (11 enodes) 1539333277.916 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333277.916 * [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))))))) 1539333277.916 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1539333277.916 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333277.917 * * [misc]simplify: iters left: 5 (6 enodes) 1539333277.919 * * [misc]simplify: iters left: 4 (8 enodes) 1539333277.922 * * [misc]simplify: iters left: 3 (11 enodes) 1539333277.926 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333277.926 * [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))))))) 1539333277.926 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1539333277.926 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333277.926 * * [misc]simplify: iters left: 4 (5 enodes) 1539333277.928 * * [misc]simplify: iters left: 3 (7 enodes) 1539333277.931 * * [misc]simplify: iters left: 2 (10 enodes) 1539333277.934 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333277.934 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1539333277.934 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1539333277.935 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333277.935 * * [misc]simplify: iters left: 5 (9 enodes) 1539333277.940 * * [misc]simplify: iters left: 4 (15 enodes) 1539333277.945 * * [misc]simplify: iters left: 3 (21 enodes) 1539333277.952 * * [misc]simplify: iters left: 2 (22 enodes) 1539333277.959 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333277.959 * [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))))))) 1539333277.959 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1539333277.960 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333277.960 * * [misc]simplify: iters left: 5 (9 enodes) 1539333277.964 * * [misc]simplify: iters left: 4 (15 enodes) 1539333277.970 * * [misc]simplify: iters left: 3 (21 enodes) 1539333277.977 * * [misc]simplify: iters left: 2 (22 enodes) 1539333277.985 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333277.985 * [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))))))) 1539333277.985 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1539333277.985 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1539333277.986 * * [misc]simplify: iters left: 5 (7 enodes) 1539333277.988 * * [misc]simplify: iters left: 4 (9 enodes) 1539333277.991 * * [misc]simplify: iters left: 3 (12 enodes) 1539333277.996 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1539333277.996 * [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))))))) 1539333277.996 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1539333277.996 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1539333277.997 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1539333277.997 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1539333277.999 * * [misc]simplify: iters left: 6 (14 enodes) 1539333278.006 * * [misc]simplify: iters left: 5 (26 enodes) 1539333278.020 * * [misc]simplify: iters left: 4 (59 enodes) 1539333278.061 * * [misc]simplify: iters left: 3 (164 enodes) 1539333278.187 * * [misc]simplify: iters left: 2 (488 enodes) 1539333278.829 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1539333278.829 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1539333278.829 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1539333278.829 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1539333278.831 * * [misc]simplify: iters left: 6 (14 enodes) 1539333278.838 * * [misc]simplify: iters left: 5 (26 enodes) 1539333278.852 * * [misc]simplify: iters left: 4 (59 enodes) 1539333278.894 * * [misc]simplify: iters left: 3 (164 enodes) 1539333279.010 * * [misc]simplify: iters left: 2 (488 enodes) 1539333279.570 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1539333279.570 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1539333279.570 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1539333279.570 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333279.571 * * [misc]simplify: iters left: 6 (14 enodes) 1539333279.577 * * [misc]simplify: iters left: 5 (24 enodes) 1539333279.587 * * [misc]simplify: iters left: 4 (46 enodes) 1539333279.606 * * [misc]simplify: iters left: 3 (103 enodes) 1539333279.655 * * [misc]simplify: iters left: 2 (336 enodes) 1539333280.143 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1539333280.143 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1539333280.143 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1539333280.144 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1539333280.144 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1539333280.144 * [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))))) 1539333280.146 * * [misc]simplify: iters left: 6 (16 enodes) 1539333280.154 * * [misc]simplify: iters left: 5 (31 enodes) 1539333280.170 * * [misc]simplify: iters left: 4 (70 enodes) 1539333280.204 * * [misc]simplify: iters left: 3 (130 enodes) 1539333280.240 * * [misc]simplify: iters left: 2 (206 enodes) 1539333280.341 * * [misc]simplify: iters left: 1 (288 enodes) 1539333280.514 * [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))))) 1539333280.514 * [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)))))))) 1539333280.514 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1539333280.514 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1539333280.515 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1539333280.515 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1539333280.515 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1539333280.515 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1539333280.516 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.522 * * [misc]simplify: iters left: 5 (19 enodes) 1539333280.529 * * [misc]simplify: iters left: 4 (27 enodes) 1539333280.538 * * [misc]simplify: iters left: 3 (29 enodes) 1539333280.548 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1539333280.548 * [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))))))) 1539333280.548 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333280.549 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.554 * * [misc]simplify: iters left: 5 (18 enodes) 1539333280.561 * * [misc]simplify: iters left: 4 (24 enodes) 1539333280.566 * * [misc]simplify: iters left: 3 (25 enodes) 1539333280.570 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333280.570 * [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))))))) 1539333280.570 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1539333280.570 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1539333280.571 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.574 * * [misc]simplify: iters left: 5 (19 enodes) 1539333280.577 * * [misc]simplify: iters left: 4 (27 enodes) 1539333280.582 * * [misc]simplify: iters left: 3 (29 enodes) 1539333280.587 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1539333280.587 * [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))))))) 1539333280.587 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333280.588 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.590 * * [misc]simplify: iters left: 5 (18 enodes) 1539333280.596 * * [misc]simplify: iters left: 4 (24 enodes) 1539333280.606 * * [misc]simplify: iters left: 3 (25 enodes) 1539333280.614 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333280.615 * [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))))))) 1539333280.615 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1539333280.615 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1539333280.616 * * [misc]simplify: iters left: 6 (11 enodes) 1539333280.621 * * [misc]simplify: iters left: 5 (15 enodes) 1539333280.626 * * [misc]simplify: iters left: 4 (20 enodes) 1539333280.632 * * [misc]simplify: iters left: 3 (21 enodes) 1539333280.638 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1539333280.638 * [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))))))) 1539333280.638 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333280.638 * * [misc]simplify: iters left: 6 (11 enodes) 1539333280.640 * * [misc]simplify: iters left: 5 (14 enodes) 1539333280.643 * * [misc]simplify: iters left: 4 (17 enodes) 1539333280.645 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333280.646 * [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))))))) 1539333280.646 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1539333280.646 * [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)))))) 1539333280.647 * * [misc]simplify: iters left: 6 (16 enodes) 1539333280.650 * * [misc]simplify: iters left: 5 (28 enodes) 1539333280.656 * * [misc]simplify: iters left: 4 (46 enodes) 1539333280.664 * * [misc]simplify: iters left: 3 (50 enodes) 1539333280.672 * * [misc]simplify: iters left: 2 (53 enodes) 1539333280.681 * [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)))))) 1539333280.681 * [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)))))))) 1539333280.682 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333280.682 * * [misc]simplify: iters left: 6 (14 enodes) 1539333280.686 * * [misc]simplify: iters left: 5 (20 enodes) 1539333280.690 * * [misc]simplify: iters left: 4 (29 enodes) 1539333280.694 * * [misc]simplify: iters left: 3 (30 enodes) 1539333280.703 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333280.704 * [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)))))))) 1539333280.704 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1539333280.704 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333280.705 * * [misc]simplify: iters left: 6 (15 enodes) 1539333280.712 * * [misc]simplify: iters left: 5 (23 enodes) 1539333280.721 * * [misc]simplify: iters left: 4 (34 enodes) 1539333280.732 * * [misc]simplify: iters left: 3 (36 enodes) 1539333280.744 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333280.744 * [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)))))))) 1539333280.744 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333280.745 * * [misc]simplify: iters left: 6 (14 enodes) 1539333280.748 * * [misc]simplify: iters left: 5 (20 enodes) 1539333280.752 * * [misc]simplify: iters left: 4 (29 enodes) 1539333280.757 * * [misc]simplify: iters left: 3 (30 enodes) 1539333280.762 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333280.762 * [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)))))))) 1539333280.762 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1539333280.762 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1539333280.762 * * [misc]simplify: iters left: 6 (6 enodes) 1539333280.763 * * [misc]simplify: iters left: 5 (10 enodes) 1539333280.766 * * [misc]simplify: iters left: 4 (16 enodes) 1539333280.768 * * [misc]simplify: iters left: 3 (18 enodes) 1539333280.770 * * [misc]simplify: iters left: 2 (23 enodes) 1539333280.776 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333280.776 * [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))))))) 1539333280.776 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333280.778 * * [misc]simplify: iters left: 6 (13 enodes) 1539333280.785 * * [misc]simplify: iters left: 5 (19 enodes) 1539333280.792 * * [misc]simplify: iters left: 4 (28 enodes) 1539333280.796 * * [misc]simplify: iters left: 3 (30 enodes) 1539333280.801 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1539333280.801 * [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))))))) 1539333280.801 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1539333280.802 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1539333280.802 * * [misc]simplify: iters left: 6 (11 enodes) 1539333280.804 * * [misc]simplify: iters left: 5 (16 enodes) 1539333280.807 * * [misc]simplify: iters left: 4 (22 enodes) 1539333280.810 * * [misc]simplify: iters left: 3 (23 enodes) 1539333280.814 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1539333280.814 * [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))))))) 1539333280.814 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333280.815 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.818 * * [misc]simplify: iters left: 5 (18 enodes) 1539333280.823 * * [misc]simplify: iters left: 4 (24 enodes) 1539333280.831 * * [misc]simplify: iters left: 3 (25 enodes) 1539333280.839 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333280.839 * [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))))))) 1539333280.839 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1539333280.840 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1539333280.841 * * [misc]simplify: iters left: 6 (11 enodes) 1539333280.845 * * [misc]simplify: iters left: 5 (16 enodes) 1539333280.851 * * [misc]simplify: iters left: 4 (22 enodes) 1539333280.858 * * [misc]simplify: iters left: 3 (23 enodes) 1539333280.866 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1539333280.866 * [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))))))) 1539333280.866 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333280.867 * * [misc]simplify: iters left: 6 (12 enodes) 1539333280.870 * * [misc]simplify: iters left: 5 (18 enodes) 1539333280.873 * * [misc]simplify: iters left: 4 (24 enodes) 1539333280.878 * * [misc]simplify: iters left: 3 (25 enodes) 1539333280.882 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333280.882 * [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))))))) 1539333280.882 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1539333280.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333280.883 * * [misc]simplify: iters left: 6 (10 enodes) 1539333280.885 * * [misc]simplify: iters left: 5 (12 enodes) 1539333280.887 * * [misc]simplify: iters left: 4 (15 enodes) 1539333280.889 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333280.889 * [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))))))) 1539333280.890 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333280.890 * * [misc]simplify: iters left: 6 (11 enodes) 1539333280.892 * * [misc]simplify: iters left: 5 (14 enodes) 1539333280.894 * * [misc]simplify: iters left: 4 (17 enodes) 1539333280.899 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333280.899 * [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))))))) 1539333280.899 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1539333280.899 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1539333280.901 * * [misc]simplify: iters left: 6 (15 enodes) 1539333280.907 * * [misc]simplify: iters left: 5 (23 enodes) 1539333280.916 * * [misc]simplify: iters left: 4 (32 enodes) 1539333280.925 * * [misc]simplify: iters left: 3 (34 enodes) 1539333280.938 * [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)))))) 1539333280.938 * [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)))))))) 1539333280.938 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333280.940 * * [misc]simplify: iters left: 6 (14 enodes) 1539333280.946 * * [misc]simplify: iters left: 5 (20 enodes) 1539333280.953 * * [misc]simplify: iters left: 4 (29 enodes) 1539333280.963 * * [misc]simplify: iters left: 3 (30 enodes) 1539333280.973 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333280.973 * [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)))))))) 1539333280.973 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1539333280.973 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333280.974 * * [misc]simplify: iters left: 6 (14 enodes) 1539333280.980 * * [misc]simplify: iters left: 5 (20 enodes) 1539333280.989 * * [misc]simplify: iters left: 4 (29 enodes) 1539333280.994 * * [misc]simplify: iters left: 3 (30 enodes) 1539333280.998 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333280.999 * [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)))))))) 1539333280.999 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.000 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.002 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.006 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.014 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.024 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333281.024 * [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)))))))) 1539333281.024 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1539333281.024 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1539333281.025 * * [misc]simplify: iters left: 4 (5 enodes) 1539333281.027 * * [misc]simplify: iters left: 3 (7 enodes) 1539333281.030 * * [misc]simplify: iters left: 2 (9 enodes) 1539333281.032 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333281.032 * [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))))))) 1539333281.032 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.033 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.037 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.041 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.045 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.050 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1539333281.050 * [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))))))) 1539333281.050 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1539333281.050 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1539333281.051 * * [misc]simplify: iters left: 6 (9 enodes) 1539333281.053 * * [misc]simplify: iters left: 5 (16 enodes) 1539333281.055 * * [misc]simplify: iters left: 4 (22 enodes) 1539333281.058 * * [misc]simplify: iters left: 3 (23 enodes) 1539333281.062 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1539333281.062 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1539333281.062 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.063 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.065 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.070 * * [misc]simplify: iters left: 4 (23 enodes) 1539333281.073 * * [misc]simplify: iters left: 3 (24 enodes) 1539333281.077 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1539333281.077 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1539333281.077 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1539333281.077 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1539333281.078 * * [misc]simplify: iters left: 6 (9 enodes) 1539333281.080 * * [misc]simplify: iters left: 5 (16 enodes) 1539333281.086 * * [misc]simplify: iters left: 4 (22 enodes) 1539333281.092 * * [misc]simplify: iters left: 3 (23 enodes) 1539333281.100 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1539333281.100 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1539333281.100 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.101 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.106 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.113 * * [misc]simplify: iters left: 4 (23 enodes) 1539333281.120 * * [misc]simplify: iters left: 3 (24 enodes) 1539333281.125 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1539333281.126 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1539333281.126 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1539333281.126 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1539333281.126 * * [misc]simplify: iters left: 6 (9 enodes) 1539333281.128 * * [misc]simplify: iters left: 5 (13 enodes) 1539333281.130 * * [misc]simplify: iters left: 4 (16 enodes) 1539333281.133 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1539333281.133 * [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))))))) 1539333281.133 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.134 * * [misc]simplify: iters left: 6 (10 enodes) 1539333281.136 * * [misc]simplify: iters left: 5 (13 enodes) 1539333281.138 * * [misc]simplify: iters left: 4 (16 enodes) 1539333281.141 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.141 * [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))))))) 1539333281.141 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1539333281.141 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1539333281.142 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.145 * * [misc]simplify: iters left: 5 (24 enodes) 1539333281.149 * * [misc]simplify: iters left: 4 (33 enodes) 1539333281.154 * * [misc]simplify: iters left: 3 (34 enodes) 1539333281.161 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1539333281.161 * [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)))))))) 1539333281.161 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.162 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.165 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.168 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.173 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.177 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.177 * [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)))))))) 1539333281.178 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1539333281.178 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.178 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.181 * * [misc]simplify: iters left: 5 (21 enodes) 1539333281.185 * * [misc]simplify: iters left: 4 (30 enodes) 1539333281.191 * * [misc]simplify: iters left: 3 (31 enodes) 1539333281.198 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1539333281.198 * [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)))))))) 1539333281.198 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.199 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.202 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.206 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.210 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.215 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.215 * [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)))))))) 1539333281.215 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1539333281.216 * [enter]simplify: Simplifying (/ 1 1) 1539333281.216 * * [misc]simplify: iters left: 2 (2 enodes) 1539333281.216 * * [misc]simplify: iters left: 1 (4 enodes) 1539333281.216 * [exit]simplify: Simplified to 1 1539333281.217 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1539333281.217 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.217 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.220 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.223 * * [misc]simplify: iters left: 4 (27 enodes) 1539333281.229 * * [misc]simplify: iters left: 3 (29 enodes) 1539333281.239 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.239 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1539333281.239 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1539333281.239 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1539333281.239 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1539333281.239 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1539333281.239 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333281.240 * * [misc]simplify: iters left: 5 (9 enodes) 1539333281.244 * * [misc]simplify: iters left: 4 (15 enodes) 1539333281.250 * * [misc]simplify: iters left: 3 (21 enodes) 1539333281.257 * * [misc]simplify: iters left: 2 (22 enodes) 1539333281.264 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333281.264 * [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)))))) 1539333281.264 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1539333281.264 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1539333281.265 * * [misc]simplify: iters left: 5 (9 enodes) 1539333281.269 * * [misc]simplify: iters left: 4 (15 enodes) 1539333281.275 * * [misc]simplify: iters left: 3 (21 enodes) 1539333281.281 * * [misc]simplify: iters left: 2 (22 enodes) 1539333281.288 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1539333281.288 * [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)))))) 1539333281.288 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1539333281.289 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1539333281.289 * * [misc]simplify: iters left: 5 (8 enodes) 1539333281.292 * * [misc]simplify: iters left: 4 (11 enodes) 1539333281.296 * * [misc]simplify: iters left: 3 (14 enodes) 1539333281.300 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1539333281.300 * [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)))))) 1539333281.300 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1539333281.300 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.301 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.306 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.312 * * [misc]simplify: iters left: 4 (26 enodes) 1539333281.320 * * [misc]simplify: iters left: 3 (27 enodes) 1539333281.329 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1539333281.329 * [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))))))) 1539333281.329 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1539333281.330 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.331 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.335 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.341 * * [misc]simplify: iters left: 4 (26 enodes) 1539333281.345 * * [misc]simplify: iters left: 3 (27 enodes) 1539333281.350 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1539333281.350 * [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))))))) 1539333281.350 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1539333281.350 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1539333281.351 * * [misc]simplify: iters left: 5 (10 enodes) 1539333281.353 * * [misc]simplify: iters left: 4 (16 enodes) 1539333281.356 * * [misc]simplify: iters left: 3 (25 enodes) 1539333281.362 * * [misc]simplify: iters left: 2 (26 enodes) 1539333281.370 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1539333281.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1539333281.370 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1539333281.370 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333281.371 * * [misc]simplify: iters left: 4 (4 enodes) 1539333281.372 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333281.373 * [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)))))) 1539333281.373 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1539333281.373 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539333281.373 * * [misc]simplify: iters left: 2 (3 enodes) 1539333281.374 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333281.374 * [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)))))) 1539333281.374 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1539333281.374 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1539333281.375 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539333281.375 * * [misc]simplify: iters left: 5 (8 enodes) 1539333281.379 * * [misc]simplify: iters left: 4 (12 enodes) 1539333281.384 * * [misc]simplify: iters left: 3 (18 enodes) 1539333281.390 * * [misc]simplify: iters left: 2 (20 enodes) 1539333281.396 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539333281.396 * [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))))) 1539333281.396 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1539333281.396 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1539333281.396 * [enter]simplify: Simplifying (- 1) 1539333281.397 * * [misc]simplify: iters left: 2 (2 enodes) 1539333281.398 * * [misc]simplify: iters left: 1 (5 enodes) 1539333281.399 * [exit]simplify: Simplified to -1 1539333281.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1539333281.399 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1539333281.400 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1539333281.401 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.402 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.407 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.414 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.424 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.434 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.434 * [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))))))) 1539333281.434 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1539333281.435 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.436 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.441 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.449 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.457 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.468 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.468 * [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))))))) 1539333281.468 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1539333281.468 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.472 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.477 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.484 * * [misc]simplify: iters left: 4 (24 enodes) 1539333281.491 * * [misc]simplify: iters left: 3 (25 enodes) 1539333281.500 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333281.500 * [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)))))) 1539333281.500 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1539333281.501 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.502 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.507 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.513 * * [misc]simplify: iters left: 4 (24 enodes) 1539333281.522 * * [misc]simplify: iters left: 3 (25 enodes) 1539333281.530 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333281.530 * [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)))))) 1539333281.530 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1539333281.530 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.531 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.535 * * [misc]simplify: iters left: 5 (14 enodes) 1539333281.540 * * [misc]simplify: iters left: 4 (17 enodes) 1539333281.546 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.546 * [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)))))) 1539333281.546 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1539333281.546 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.548 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.553 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.561 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.569 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.580 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333281.580 * [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))))))) 1539333281.580 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1539333281.580 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.582 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.587 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.595 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.605 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.615 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333281.615 * [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))))))) 1539333281.616 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1539333281.616 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.617 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.622 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.630 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.639 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.644 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1539333281.644 * [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)))))) 1539333281.644 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1539333281.644 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.645 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.648 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.651 * * [misc]simplify: iters left: 4 (24 enodes) 1539333281.655 * * [misc]simplify: iters left: 3 (25 enodes) 1539333281.659 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333281.659 * [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)))))) 1539333281.659 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1539333281.659 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.660 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.662 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.665 * * [misc]simplify: iters left: 4 (24 enodes) 1539333281.669 * * [misc]simplify: iters left: 3 (25 enodes) 1539333281.673 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1539333281.673 * [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)))))) 1539333281.673 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1539333281.674 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.674 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.676 * * [misc]simplify: iters left: 5 (14 enodes) 1539333281.678 * * [misc]simplify: iters left: 4 (17 enodes) 1539333281.681 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.681 * [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)))))) 1539333281.681 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1539333281.681 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.682 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.686 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.690 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.698 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.704 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333281.704 * [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))))))) 1539333281.704 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1539333281.704 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.705 * * [misc]simplify: iters left: 6 (14 enodes) 1539333281.707 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.711 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.716 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.721 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1539333281.721 * [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))))))) 1539333281.721 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1539333281.721 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.722 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.725 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.729 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.733 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.738 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1539333281.739 * [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)))))) 1539333281.739 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1539333281.739 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.740 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.742 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.745 * * [misc]simplify: iters left: 4 (23 enodes) 1539333281.749 * * [misc]simplify: iters left: 3 (24 enodes) 1539333281.753 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1539333281.753 * [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)))))) 1539333281.753 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1539333281.754 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1539333281.754 * * [misc]simplify: iters left: 6 (11 enodes) 1539333281.758 * * [misc]simplify: iters left: 5 (17 enodes) 1539333281.761 * * [misc]simplify: iters left: 4 (23 enodes) 1539333281.766 * * [misc]simplify: iters left: 3 (24 enodes) 1539333281.774 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1539333281.774 * [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)))))) 1539333281.774 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1539333281.774 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.775 * * [misc]simplify: iters left: 6 (10 enodes) 1539333281.779 * * [misc]simplify: iters left: 5 (13 enodes) 1539333281.783 * * [misc]simplify: iters left: 4 (16 enodes) 1539333281.789 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333281.789 * [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)))))) 1539333281.789 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1539333281.790 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.791 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.796 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.804 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.813 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.823 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.823 * [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))))))) 1539333281.823 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1539333281.823 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1539333281.825 * * [misc]simplify: iters left: 6 (13 enodes) 1539333281.830 * * [misc]simplify: iters left: 5 (19 enodes) 1539333281.838 * * [misc]simplify: iters left: 4 (28 enodes) 1539333281.846 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.857 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1539333281.857 * [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))))))) 1539333281.857 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1539333281.857 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.858 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.864 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.871 * * [misc]simplify: iters left: 4 (27 enodes) 1539333281.881 * * [misc]simplify: iters left: 3 (29 enodes) 1539333281.893 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.893 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1539333281.893 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1539333281.893 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.895 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.900 * * [misc]simplify: iters left: 5 (18 enodes) 1539333281.907 * * [misc]simplify: iters left: 4 (27 enodes) 1539333281.916 * * [misc]simplify: iters left: 3 (29 enodes) 1539333281.926 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1539333281.926 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1539333281.926 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1539333281.927 * * [misc]simplify: iters left: 6 (12 enodes) 1539333281.932 * * [misc]simplify: iters left: 5 (20 enodes) 1539333281.939 * * [misc]simplify: iters left: 4 (29 enodes) 1539333281.948 * * [misc]simplify: iters left: 3 (30 enodes) 1539333281.958 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1539333281.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1539333281.958 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1539333281.958 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1539333281.959 * * [misc]simplify: iters left: 5 (8 enodes) 1539333281.963 * * [misc]simplify: iters left: 4 (12 enodes) 1539333281.968 * * [misc]simplify: iters left: 3 (18 enodes) 1539333281.974 * * [misc]simplify: iters left: 2 (20 enodes) 1539333281.980 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1539333281.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1539333281.980 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1539333281.981 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1539333281.981 * * [misc]simplify: iters left: 5 (10 enodes) 1539333281.986 * * [misc]simplify: iters left: 4 (16 enodes) 1539333281.992 * * [misc]simplify: iters left: 3 (25 enodes) 1539333282.000 * * [misc]simplify: iters left: 2 (26 enodes) 1539333282.004 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1539333282.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1539333282.004 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1539333282.004 * [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))))) 1539333282.006 * * [misc]simplify: iters left: 6 (37 enodes) 1539333282.022 * * [misc]simplify: iters left: 5 (105 enodes) 1539333282.064 * * [misc]simplify: iters left: 4 (339 enodes) 1539333282.514 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1539333282.514 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1539333282.514 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1539333282.514 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1539333282.516 * * [misc]simplify: iters left: 6 (15 enodes) 1539333282.525 * * [misc]simplify: iters left: 5 (33 enodes) 1539333282.544 * * [misc]simplify: iters left: 4 (64 enodes) 1539333282.571 * * [misc]simplify: iters left: 3 (171 enodes) 1539333282.754 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1539333282.754 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1539333282.754 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1539333282.754 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1539333282.755 * * [misc]simplify: iters left: 6 (15 enodes) 1539333282.760 * * [misc]simplify: iters left: 5 (30 enodes) 1539333282.769 * * [misc]simplify: iters left: 4 (65 enodes) 1539333282.819 * * [misc]simplify: iters left: 3 (200 enodes) 1539333283.098 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1539333283.098 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1539333283.098 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1539333283.098 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333283.098 * * [misc]simplify: iters left: 4 (5 enodes) 1539333283.100 * * [misc]simplify: iters left: 3 (9 enodes) 1539333283.102 * * [misc]simplify: iters left: 2 (15 enodes) 1539333283.105 * * [misc]simplify: iters left: 1 (17 enodes) 1539333283.108 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333283.108 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1539333283.108 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1539333283.108 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333283.108 * * [misc]simplify: iters left: 4 (5 enodes) 1539333283.109 * * [misc]simplify: iters left: 3 (9 enodes) 1539333283.112 * * [misc]simplify: iters left: 2 (15 enodes) 1539333283.114 * * [misc]simplify: iters left: 1 (17 enodes) 1539333283.119 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333283.119 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1539333283.119 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1539333283.120 * [enter]simplify: Simplifying (* 2 (* n PI)) 1539333283.120 * * [misc]simplify: iters left: 4 (5 enodes) 1539333283.122 * * [misc]simplify: iters left: 3 (9 enodes) 1539333283.127 * * [misc]simplify: iters left: 2 (15 enodes) 1539333283.134 * * [misc]simplify: iters left: 1 (17 enodes) 1539333283.139 * [exit]simplify: Simplified to (* (* PI n) 2) 1539333283.139 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1539333283.139 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1539333283.139 * [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))))))))))) 1539333283.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333283.139 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1539333283.140 * [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)))))))))))) 1539333283.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333283.140 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1539333283.140 * [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)))))))))))) 1539333283.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333283.140 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1539333283.140 * [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))))))))))))) 1539333283.140 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333283.141 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1539333283.141 * [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)))))))) 1539333283.141 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333283.141 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1539333283.141 * [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))))))))))) 1539333283.141 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333283.141 * * * [misc]progress: adding candidates to table 1539333285.868 * * [misc]progress: iteration 3 / 4 1539333285.868 * * * [misc]progress: picking best candidate 1539333285.943 * * * * [misc]pick: Picked # 1539333285.943 * * * [misc]progress: localizing error 1539333285.981 * * * [misc]progress: generating rewritten candidates 1539333285.981 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1539333286.003 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) 1539333286.022 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1539333286.054 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1539333286.157 * * * [misc]progress: generating series expansions 1539333286.157 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1539333286.157 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1539333286.157 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1539333286.157 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.157 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.157 * [misc]taylor: Taking taylor expansion of k in k 1539333286.157 * [misc]backup-simplify: Simplify 0 into 0 1539333286.157 * [misc]backup-simplify: Simplify 1 into 1 1539333286.157 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333286.157 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.157 * [misc]backup-simplify: Simplify 2 into 2 1539333286.157 * [misc]taylor: Taking taylor expansion of n in k 1539333286.157 * [misc]backup-simplify: Simplify n into n 1539333286.157 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333286.157 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333286.158 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.158 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.158 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.158 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333286.158 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333286.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.158 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.158 * [misc]taylor: Taking taylor expansion of k in n 1539333286.158 * [misc]backup-simplify: Simplify k into k 1539333286.158 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.158 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.158 * [misc]backup-simplify: Simplify 2 into 2 1539333286.158 * [misc]taylor: Taking taylor expansion of n in n 1539333286.158 * [misc]backup-simplify: Simplify 0 into 0 1539333286.158 * [misc]backup-simplify: Simplify 1 into 1 1539333286.158 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.159 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.159 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.159 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333286.159 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333286.159 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333286.159 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.159 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333286.160 * [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)))) 1539333286.160 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.160 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.160 * [misc]taylor: Taking taylor expansion of k in n 1539333286.160 * [misc]backup-simplify: Simplify k into k 1539333286.160 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.160 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.160 * [misc]backup-simplify: Simplify 2 into 2 1539333286.160 * [misc]taylor: Taking taylor expansion of n in n 1539333286.160 * [misc]backup-simplify: Simplify 0 into 0 1539333286.160 * [misc]backup-simplify: Simplify 1 into 1 1539333286.160 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.160 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.160 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.160 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333286.160 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333286.160 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333286.161 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.161 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333286.161 * [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)))) 1539333286.161 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of (log 2) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.161 * [misc]backup-simplify: Simplify 2 into 2 1539333286.161 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.161 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of n in k 1539333286.161 * [misc]backup-simplify: Simplify n into n 1539333286.161 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333286.161 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.161 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.161 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.161 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.162 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.162 * [misc]taylor: Taking taylor expansion of k in k 1539333286.162 * [misc]backup-simplify: Simplify 0 into 0 1539333286.162 * [misc]backup-simplify: Simplify 1 into 1 1539333286.162 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1539333286.162 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.162 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.162 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.162 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1539333286.162 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1539333286.163 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1539333286.163 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.165 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539333286.166 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.166 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.167 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1539333286.168 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.168 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.168 * [misc]backup-simplify: Simplify 0 into 0 1539333286.168 * [misc]backup-simplify: Simplify 0 into 0 1539333286.168 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333286.168 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.169 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.171 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.172 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539333286.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.173 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1539333286.174 * [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))))) 1539333286.175 * [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))))) 1539333286.175 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333286.180 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333286.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539333286.180 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.180 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.181 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.182 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1539333286.184 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539333286.184 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.184 * [misc]backup-simplify: Simplify 0 into 0 1539333286.184 * [misc]backup-simplify: Simplify 0 into 0 1539333286.184 * [misc]backup-simplify: Simplify 0 into 0 1539333286.184 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.184 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.185 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.189 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333286.191 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539333286.191 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.192 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1539333286.194 * [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))))) 1539333286.197 * [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))))) 1539333286.203 * [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))))) 1539333286.204 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.204 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1539333286.204 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.204 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.204 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.204 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of k in k 1539333286.204 * [misc]backup-simplify: Simplify 0 into 0 1539333286.204 * [misc]backup-simplify: Simplify 1 into 1 1539333286.204 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.204 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333286.204 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.204 * [misc]backup-simplify: Simplify 2 into 2 1539333286.204 * [misc]taylor: Taking taylor expansion of n in k 1539333286.204 * [misc]backup-simplify: Simplify n into n 1539333286.205 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333286.205 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333286.205 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.205 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.205 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.205 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333286.205 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.205 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.206 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.206 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.206 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of k in n 1539333286.206 * [misc]backup-simplify: Simplify k into k 1539333286.206 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.206 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.206 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.206 * [misc]backup-simplify: Simplify 2 into 2 1539333286.206 * [misc]taylor: Taking taylor expansion of n in n 1539333286.206 * [misc]backup-simplify: Simplify 0 into 0 1539333286.206 * [misc]backup-simplify: Simplify 1 into 1 1539333286.206 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.206 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.207 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.207 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.207 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.207 * [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))) 1539333286.208 * [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)))) 1539333286.208 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.208 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.208 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.208 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of k in n 1539333286.208 * [misc]backup-simplify: Simplify k into k 1539333286.208 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.208 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.208 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.208 * [misc]backup-simplify: Simplify 2 into 2 1539333286.208 * [misc]taylor: Taking taylor expansion of n in n 1539333286.208 * [misc]backup-simplify: Simplify 0 into 0 1539333286.208 * [misc]backup-simplify: Simplify 1 into 1 1539333286.209 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.209 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.209 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.209 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.209 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.209 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.210 * [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))) 1539333286.210 * [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)))) 1539333286.210 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1539333286.210 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1539333286.210 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.211 * [misc]taylor: Taking taylor expansion of k in k 1539333286.211 * [misc]backup-simplify: Simplify 0 into 0 1539333286.211 * [misc]backup-simplify: Simplify 1 into 1 1539333286.211 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.211 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1539333286.211 * [misc]taylor: Taking taylor expansion of (log 2) in k 1539333286.211 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.211 * [misc]backup-simplify: Simplify 2 into 2 1539333286.211 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.211 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333286.211 * [misc]taylor: Taking taylor expansion of n in k 1539333286.211 * [misc]backup-simplify: Simplify n into n 1539333286.211 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333286.211 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.212 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.212 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.212 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333286.212 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1539333286.212 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1539333286.213 * [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)))) 1539333286.213 * [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)))) 1539333286.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333286.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.216 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.217 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333286.219 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.219 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.219 * [misc]backup-simplify: Simplify 0 into 0 1539333286.219 * [misc]backup-simplify: Simplify 0 into 0 1539333286.219 * [misc]backup-simplify: Simplify 0 into 0 1539333286.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.224 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333286.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333286.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333286.225 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.226 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1539333286.228 * [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 1539333286.228 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.228 * [misc]backup-simplify: Simplify 0 into 0 1539333286.228 * [misc]backup-simplify: Simplify 0 into 0 1539333286.228 * [misc]backup-simplify: Simplify 0 into 0 1539333286.228 * [misc]backup-simplify: Simplify 0 into 0 1539333286.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.242 * [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 1539333286.242 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333286.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333286.243 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.243 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.244 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1539333286.247 * [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 1539333286.247 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.248 * [misc]backup-simplify: Simplify 0 into 0 1539333286.248 * [misc]backup-simplify: Simplify 0 into 0 1539333286.248 * [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)))) 1539333286.248 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.248 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1539333286.248 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.248 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333286.248 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333286.248 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.248 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.249 * [misc]taylor: Taking taylor expansion of k in k 1539333286.249 * [misc]backup-simplify: Simplify 0 into 0 1539333286.249 * [misc]backup-simplify: Simplify 1 into 1 1539333286.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.249 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333286.249 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333286.249 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.249 * [misc]backup-simplify: Simplify -2 into -2 1539333286.249 * [misc]taylor: Taking taylor expansion of n in k 1539333286.249 * [misc]backup-simplify: Simplify n into n 1539333286.249 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333286.249 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333286.249 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.250 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.250 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333286.250 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.250 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of k in n 1539333286.250 * [misc]backup-simplify: Simplify k into k 1539333286.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.250 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.250 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.250 * [misc]backup-simplify: Simplify -2 into -2 1539333286.250 * [misc]taylor: Taking taylor expansion of n in n 1539333286.250 * [misc]backup-simplify: Simplify 0 into 0 1539333286.251 * [misc]backup-simplify: Simplify 1 into 1 1539333286.251 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.251 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.251 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.251 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.251 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.252 * [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))) 1539333286.252 * [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)))) 1539333286.252 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.252 * [misc]taylor: Taking taylor expansion of k in n 1539333286.252 * [misc]backup-simplify: Simplify k into k 1539333286.253 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.253 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.253 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.253 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.253 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.253 * [misc]backup-simplify: Simplify -2 into -2 1539333286.253 * [misc]taylor: Taking taylor expansion of n in n 1539333286.253 * [misc]backup-simplify: Simplify 0 into 0 1539333286.253 * [misc]backup-simplify: Simplify 1 into 1 1539333286.253 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.253 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.253 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.253 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.254 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.254 * [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))) 1539333286.254 * [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)))) 1539333286.254 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1539333286.254 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of k in k 1539333286.255 * [misc]backup-simplify: Simplify 0 into 0 1539333286.255 * [misc]backup-simplify: Simplify 1 into 1 1539333286.255 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.255 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of (log -2) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.255 * [misc]backup-simplify: Simplify -2 into -2 1539333286.255 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.255 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333286.255 * [misc]taylor: Taking taylor expansion of n in k 1539333286.255 * [misc]backup-simplify: Simplify n into n 1539333286.255 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333286.255 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.256 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.256 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333286.256 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1539333286.256 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1539333286.256 * [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)))) 1539333286.256 * [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)))) 1539333286.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333286.258 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333286.258 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.258 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.258 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.259 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333286.260 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.260 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.260 * [misc]backup-simplify: Simplify 0 into 0 1539333286.260 * [misc]backup-simplify: Simplify 0 into 0 1539333286.260 * [misc]backup-simplify: Simplify 0 into 0 1539333286.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.263 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1539333286.263 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333286.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333286.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.263 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.264 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1539333286.265 * [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 1539333286.265 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.265 * [misc]backup-simplify: Simplify 0 into 0 1539333286.265 * [misc]backup-simplify: Simplify 0 into 0 1539333286.265 * [misc]backup-simplify: Simplify 0 into 0 1539333286.265 * [misc]backup-simplify: Simplify 0 into 0 1539333286.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.270 * [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 1539333286.270 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333286.270 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333286.270 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.271 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.271 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1539333286.274 * [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 1539333286.274 * [misc]taylor: Taking taylor expansion of 0 in k 1539333286.274 * [misc]backup-simplify: Simplify 0 into 0 1539333286.274 * [misc]backup-simplify: Simplify 0 into 0 1539333286.274 * [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))))) 1539333286.274 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) 1539333286.274 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1539333286.274 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1539333286.274 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333286.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333286.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333286.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.274 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.274 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.274 * [misc]taylor: Taking taylor expansion of k in k 1539333286.274 * [misc]backup-simplify: Simplify 0 into 0 1539333286.274 * [misc]backup-simplify: Simplify 1 into 1 1539333286.275 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.275 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.275 * [misc]backup-simplify: Simplify PI into PI 1539333286.275 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.275 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.275 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.275 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.275 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.276 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333286.276 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.276 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.276 * [misc]taylor: Taking taylor expansion of k in k 1539333286.276 * [misc]backup-simplify: Simplify 0 into 0 1539333286.276 * [misc]backup-simplify: Simplify 1 into 1 1539333286.276 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.276 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.276 * [misc]backup-simplify: Simplify PI into PI 1539333286.276 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.277 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.277 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.277 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.277 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.278 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333286.278 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1539333286.280 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333286.280 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333286.280 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.280 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.281 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1539333286.283 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333286.284 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333286.289 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1539333286.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.290 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.290 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.292 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1539333286.298 * [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))) 1539333286.300 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1539333286.305 * [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)))) 1539333286.305 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.305 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1539333286.305 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.305 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333286.305 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333286.306 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.306 * [misc]taylor: Taking taylor expansion of k in k 1539333286.306 * [misc]backup-simplify: Simplify 0 into 0 1539333286.306 * [misc]backup-simplify: Simplify 1 into 1 1539333286.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.306 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.306 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.306 * [misc]backup-simplify: Simplify PI into PI 1539333286.307 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.307 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.307 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.308 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333286.308 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.308 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of k in k 1539333286.308 * [misc]backup-simplify: Simplify 0 into 0 1539333286.308 * [misc]backup-simplify: Simplify 1 into 1 1539333286.308 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.308 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.308 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.308 * [misc]backup-simplify: Simplify PI into PI 1539333286.308 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.309 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.309 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.309 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.309 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333286.309 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.309 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1539333286.310 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.310 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1539333286.310 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of k in k 1539333286.310 * [misc]backup-simplify: Simplify 0 into 0 1539333286.310 * [misc]backup-simplify: Simplify 1 into 1 1539333286.310 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.310 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.310 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.310 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.310 * [misc]backup-simplify: Simplify PI into PI 1539333286.311 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.311 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.311 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.311 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.311 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.311 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of k in k 1539333286.312 * [misc]backup-simplify: Simplify 0 into 0 1539333286.312 * [misc]backup-simplify: Simplify 1 into 1 1539333286.312 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.312 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.312 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.312 * [misc]backup-simplify: Simplify PI into PI 1539333286.312 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.312 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.312 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.313 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.313 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.313 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify 0 into 0 1539333286.313 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1539333286.313 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1539333286.314 * [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)) 1539333286.314 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1539333286.314 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.314 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.314 * [misc]taylor: Taking taylor expansion of k in n 1539333286.314 * [misc]backup-simplify: Simplify k into k 1539333286.314 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.314 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.314 * [misc]backup-simplify: Simplify 2 into 2 1539333286.314 * [misc]taylor: Taking taylor expansion of n in n 1539333286.314 * [misc]backup-simplify: Simplify 0 into 0 1539333286.314 * [misc]backup-simplify: Simplify 1 into 1 1539333286.314 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.314 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.315 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.315 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333286.315 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333286.315 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333286.315 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.315 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333286.315 * [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)))) 1539333286.316 * [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))))) 1539333286.316 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333286.316 * [misc]taylor: Taking taylor expansion of k in n 1539333286.316 * [misc]backup-simplify: Simplify k into k 1539333286.316 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333286.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333286.316 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.316 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.316 * [misc]taylor: Taking taylor expansion of k in k 1539333286.316 * [misc]backup-simplify: Simplify 0 into 0 1539333286.316 * [misc]backup-simplify: Simplify 1 into 1 1539333286.316 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333286.316 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.316 * [misc]backup-simplify: Simplify 2 into 2 1539333286.316 * [misc]taylor: Taking taylor expansion of n in k 1539333286.316 * [misc]backup-simplify: Simplify n into n 1539333286.316 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333286.316 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333286.316 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.316 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.316 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.317 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333286.317 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333286.317 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1539333286.317 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of k in k 1539333286.317 * [misc]backup-simplify: Simplify 0 into 0 1539333286.317 * [misc]backup-simplify: Simplify 1 into 1 1539333286.317 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.317 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.317 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.317 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.317 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.317 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.318 * [misc]taylor: Taking taylor expansion of k in k 1539333286.318 * [misc]backup-simplify: Simplify 0 into 0 1539333286.318 * [misc]backup-simplify: Simplify 1 into 1 1539333286.318 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333286.318 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333286.318 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.318 * [misc]backup-simplify: Simplify 2 into 2 1539333286.318 * [misc]taylor: Taking taylor expansion of n in k 1539333286.318 * [misc]backup-simplify: Simplify n into n 1539333286.318 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333286.318 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333286.318 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.318 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.318 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.318 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333286.318 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333286.318 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1539333286.318 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333286.319 * [misc]taylor: Taking taylor expansion of k in k 1539333286.319 * [misc]backup-simplify: Simplify 0 into 0 1539333286.319 * [misc]backup-simplify: Simplify 1 into 1 1539333286.319 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.319 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.319 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1539333286.319 * [misc]taylor: Taking taylor expansion of 0 in n 1539333286.319 * [misc]backup-simplify: Simplify 0 into 0 1539333286.319 * [misc]backup-simplify: Simplify 0 into 0 1539333286.319 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1539333286.320 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1539333286.320 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333286.320 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.320 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.321 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1539333286.321 * [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)))) 1539333286.322 * [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)))) 1539333286.324 * [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)))) 1539333286.324 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.324 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of n in n 1539333286.324 * [misc]backup-simplify: Simplify 0 into 0 1539333286.324 * [misc]backup-simplify: Simplify 1 into 1 1539333286.324 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.324 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.324 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.324 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333286.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.324 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333286.325 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333286.325 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.325 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333286.326 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1539333286.326 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.327 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.327 * [misc]backup-simplify: Simplify 0 into 0 1539333286.327 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.328 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1539333286.329 * [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 1539333286.329 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.329 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.329 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1539333286.331 * [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))) 1539333286.338 * [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))))) 1539333286.346 * [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)))))) 1539333286.346 * [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 1539333286.346 * [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 1539333286.346 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.346 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.346 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.346 * [misc]backup-simplify: Simplify 2 into 2 1539333286.346 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.346 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.346 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.346 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.346 * [misc]backup-simplify: Simplify 2 into 2 1539333286.346 * [misc]taylor: Taking taylor expansion of n in n 1539333286.346 * [misc]backup-simplify: Simplify 0 into 0 1539333286.346 * [misc]backup-simplify: Simplify 1 into 1 1539333286.347 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.347 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.347 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.347 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1539333286.347 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333286.347 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.347 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333286.347 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333286.347 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of n in n 1539333286.348 * [misc]backup-simplify: Simplify 0 into 0 1539333286.348 * [misc]backup-simplify: Simplify 1 into 1 1539333286.348 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.348 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.348 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.348 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.348 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333286.348 * [misc]taylor: Taking taylor expansion of n in n 1539333286.348 * [misc]backup-simplify: Simplify 0 into 0 1539333286.348 * [misc]backup-simplify: Simplify 1 into 1 1539333286.349 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.349 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.349 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333286.349 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.349 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333286.349 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333286.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.350 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1539333286.353 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1539333286.354 * [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))) 1539333286.354 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.354 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1539333286.354 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.356 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.357 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1539333286.357 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1539333286.359 * [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))))))) 1539333286.360 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1539333286.365 * [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))))))) 1539333286.365 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.365 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333286.366 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1539333286.366 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.371 * [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))))))))) 1539333286.377 * [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))))))) 1539333286.381 * [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))))))) 1539333286.382 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1539333286.383 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333286.383 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.384 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.386 * [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))) 1539333286.386 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.387 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333286.396 * [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)))))))))))) 1539333286.396 * [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))) 1539333286.396 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1539333286.396 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.396 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.396 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.396 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of k in n 1539333286.396 * [misc]backup-simplify: Simplify k into k 1539333286.396 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.396 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.396 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.396 * [misc]backup-simplify: Simplify 2 into 2 1539333286.396 * [misc]taylor: Taking taylor expansion of n in n 1539333286.396 * [misc]backup-simplify: Simplify 0 into 0 1539333286.396 * [misc]backup-simplify: Simplify 1 into 1 1539333286.396 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.397 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.397 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.397 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.397 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.397 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.397 * [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))) 1539333286.397 * [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)))) 1539333286.398 * [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))))) 1539333286.398 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333286.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.398 * [misc]taylor: Taking taylor expansion of k in n 1539333286.398 * [misc]backup-simplify: Simplify k into k 1539333286.398 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.398 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333286.398 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333286.398 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of k in k 1539333286.398 * [misc]backup-simplify: Simplify 0 into 0 1539333286.398 * [misc]backup-simplify: Simplify 1 into 1 1539333286.398 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.398 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333286.398 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.398 * [misc]backup-simplify: Simplify 2 into 2 1539333286.398 * [misc]taylor: Taking taylor expansion of n in k 1539333286.398 * [misc]backup-simplify: Simplify n into n 1539333286.399 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333286.399 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333286.399 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.399 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.399 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.399 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333286.399 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.400 * [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))))) 1539333286.400 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of k in k 1539333286.400 * [misc]backup-simplify: Simplify 0 into 0 1539333286.400 * [misc]backup-simplify: Simplify 1 into 1 1539333286.400 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.400 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.400 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.400 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.400 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.401 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.401 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.401 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.401 * [misc]taylor: Taking taylor expansion of k in k 1539333286.401 * [misc]backup-simplify: Simplify 0 into 0 1539333286.401 * [misc]backup-simplify: Simplify 1 into 1 1539333286.401 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.401 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333286.401 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333286.401 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.401 * [misc]backup-simplify: Simplify 2 into 2 1539333286.401 * [misc]taylor: Taking taylor expansion of n in k 1539333286.401 * [misc]backup-simplify: Simplify n into n 1539333286.401 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333286.401 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333286.401 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.401 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.401 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.401 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333286.401 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.401 * [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))))) 1539333286.402 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333286.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.402 * [misc]taylor: Taking taylor expansion of k in k 1539333286.402 * [misc]backup-simplify: Simplify 0 into 0 1539333286.402 * [misc]backup-simplify: Simplify 1 into 1 1539333286.402 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.402 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.402 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.402 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1539333286.402 * [misc]taylor: Taking taylor expansion of 0 in n 1539333286.402 * [misc]backup-simplify: Simplify 0 into 0 1539333286.402 * [misc]backup-simplify: Simplify 0 into 0 1539333286.403 * [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 1539333286.403 * [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))))))) 1539333286.403 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.403 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.403 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.403 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.403 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of k in n 1539333286.403 * [misc]backup-simplify: Simplify k into k 1539333286.403 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.403 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.403 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.403 * [misc]backup-simplify: Simplify 2 into 2 1539333286.403 * [misc]taylor: Taking taylor expansion of n in n 1539333286.403 * [misc]backup-simplify: Simplify 0 into 0 1539333286.403 * [misc]backup-simplify: Simplify 1 into 1 1539333286.403 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.403 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.404 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.404 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.404 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.404 * [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))) 1539333286.404 * [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)))) 1539333286.405 * [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))))) 1539333286.405 * [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))))) 1539333286.405 * [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))))))) 1539333286.405 * [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))))))) 1539333286.405 * [misc]backup-simplify: Simplify 0 into 0 1539333286.406 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333286.406 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.407 * [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 1539333286.407 * [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))))))) 1539333286.407 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.407 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.407 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of k in n 1539333286.407 * [misc]backup-simplify: Simplify k into k 1539333286.407 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.407 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.407 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.407 * [misc]backup-simplify: Simplify 2 into 2 1539333286.407 * [misc]taylor: Taking taylor expansion of n in n 1539333286.407 * [misc]backup-simplify: Simplify 0 into 0 1539333286.407 * [misc]backup-simplify: Simplify 1 into 1 1539333286.407 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.408 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.408 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.408 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.408 * [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))) 1539333286.408 * [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)))) 1539333286.409 * [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))))) 1539333286.409 * [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))))) 1539333286.409 * [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))))))) 1539333286.409 * [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))))))) 1539333286.410 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333286.411 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.411 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.411 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.411 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.412 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.412 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.412 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333286.413 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.413 * [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 1539333286.414 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1539333286.414 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.414 * [misc]backup-simplify: Simplify 0 into 0 1539333286.414 * [misc]backup-simplify: Simplify 0 into 0 1539333286.414 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.415 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333286.415 * [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 1539333286.415 * [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))))))) 1539333286.415 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333286.415 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.416 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.416 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.416 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of k in n 1539333286.416 * [misc]backup-simplify: Simplify k into k 1539333286.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.416 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.416 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.416 * [misc]backup-simplify: Simplify 2 into 2 1539333286.416 * [misc]taylor: Taking taylor expansion of n in n 1539333286.416 * [misc]backup-simplify: Simplify 0 into 0 1539333286.416 * [misc]backup-simplify: Simplify 1 into 1 1539333286.416 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.416 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.416 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.416 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.417 * [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))) 1539333286.417 * [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)))) 1539333286.417 * [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))))) 1539333286.417 * [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))))) 1539333286.418 * [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))))))) 1539333286.418 * [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))))))) 1539333286.419 * [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))))))))))) 1539333286.419 * [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))) 1539333286.419 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1539333286.419 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333286.419 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333286.419 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333286.419 * [misc]taylor: Taking taylor expansion of -1 in n 1539333286.419 * [misc]backup-simplify: Simplify -1 into -1 1539333286.419 * [misc]taylor: Taking taylor expansion of k in n 1539333286.420 * [misc]backup-simplify: Simplify k into k 1539333286.420 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333286.420 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333286.420 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333286.420 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333286.420 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of k in n 1539333286.420 * [misc]backup-simplify: Simplify k into k 1539333286.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.420 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.420 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.420 * [misc]backup-simplify: Simplify -2 into -2 1539333286.420 * [misc]taylor: Taking taylor expansion of n in n 1539333286.420 * [misc]backup-simplify: Simplify 0 into 0 1539333286.420 * [misc]backup-simplify: Simplify 1 into 1 1539333286.420 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.420 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.420 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.420 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.421 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.421 * [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))) 1539333286.421 * [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)))) 1539333286.421 * [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))))) 1539333286.421 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333286.421 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333286.421 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of -1 in k 1539333286.422 * [misc]backup-simplify: Simplify -1 into -1 1539333286.422 * [misc]taylor: Taking taylor expansion of k in k 1539333286.422 * [misc]backup-simplify: Simplify 0 into 0 1539333286.422 * [misc]backup-simplify: Simplify 1 into 1 1539333286.422 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333286.422 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.422 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333286.422 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of k in k 1539333286.422 * [misc]backup-simplify: Simplify 0 into 0 1539333286.422 * [misc]backup-simplify: Simplify 1 into 1 1539333286.422 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.422 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333286.422 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.422 * [misc]backup-simplify: Simplify -2 into -2 1539333286.422 * [misc]taylor: Taking taylor expansion of n in k 1539333286.423 * [misc]backup-simplify: Simplify n into n 1539333286.423 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333286.423 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333286.423 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.423 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.423 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333286.423 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.423 * [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))) 1539333286.423 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333286.423 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333286.423 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333286.423 * [misc]taylor: Taking taylor expansion of -1 in k 1539333286.423 * [misc]backup-simplify: Simplify -1 into -1 1539333286.423 * [misc]taylor: Taking taylor expansion of k in k 1539333286.423 * [misc]backup-simplify: Simplify 0 into 0 1539333286.423 * [misc]backup-simplify: Simplify 1 into 1 1539333286.423 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333286.424 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.424 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333286.424 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of k in k 1539333286.424 * [misc]backup-simplify: Simplify 0 into 0 1539333286.424 * [misc]backup-simplify: Simplify 1 into 1 1539333286.424 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.424 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333286.424 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.424 * [misc]backup-simplify: Simplify -2 into -2 1539333286.424 * [misc]taylor: Taking taylor expansion of n in k 1539333286.424 * [misc]backup-simplify: Simplify n into n 1539333286.424 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333286.424 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333286.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.425 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333286.425 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.425 * [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))) 1539333286.425 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.425 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of k in n 1539333286.425 * [misc]backup-simplify: Simplify k into k 1539333286.425 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.425 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.425 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.425 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.425 * [misc]backup-simplify: Simplify -2 into -2 1539333286.425 * [misc]taylor: Taking taylor expansion of n in n 1539333286.425 * [misc]backup-simplify: Simplify 0 into 0 1539333286.425 * [misc]backup-simplify: Simplify 1 into 1 1539333286.425 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.426 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.426 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.426 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.426 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.426 * [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))) 1539333286.426 * [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)))) 1539333286.427 * [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))))) 1539333286.427 * [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))))) 1539333286.427 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333286.428 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.428 * [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))))) 1539333286.428 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.428 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.428 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of k in n 1539333286.428 * [misc]backup-simplify: Simplify k into k 1539333286.428 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.428 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.428 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.428 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.428 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.428 * [misc]backup-simplify: Simplify -2 into -2 1539333286.428 * [misc]taylor: Taking taylor expansion of n in n 1539333286.428 * [misc]backup-simplify: Simplify 0 into 0 1539333286.429 * [misc]backup-simplify: Simplify 1 into 1 1539333286.429 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.429 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.429 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.429 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.429 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1539333286.430 * [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)))) 1539333286.430 * [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))))) 1539333286.430 * [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))))) 1539333286.430 * [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))))))) 1539333286.430 * [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))))))) 1539333286.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333286.432 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333286.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.432 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.433 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333286.434 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.434 * [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 1539333286.435 * [misc]backup-simplify: Simplify 0 into 0 1539333286.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.435 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333286.436 * [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))))) 1539333286.436 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.436 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.436 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of k in n 1539333286.436 * [misc]backup-simplify: Simplify k into k 1539333286.436 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.436 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.436 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.436 * [misc]backup-simplify: Simplify -2 into -2 1539333286.436 * [misc]taylor: Taking taylor expansion of n in n 1539333286.436 * [misc]backup-simplify: Simplify 0 into 0 1539333286.436 * [misc]backup-simplify: Simplify 1 into 1 1539333286.437 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.437 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.437 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.437 * [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))) 1539333286.437 * [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)))) 1539333286.438 * [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))))) 1539333286.438 * [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))))) 1539333286.438 * [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))))))) 1539333286.438 * [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))))))) 1539333286.440 * [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))))))))) 1539333286.440 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1539333286.440 * [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))) 1539333286.440 * [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 1539333286.440 * [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 1539333286.440 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.440 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.440 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.440 * [misc]taylor: Taking taylor expansion of k in n 1539333286.440 * [misc]backup-simplify: Simplify k into k 1539333286.440 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.440 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.440 * [misc]backup-simplify: Simplify 2 into 2 1539333286.440 * [misc]taylor: Taking taylor expansion of n in n 1539333286.441 * [misc]backup-simplify: Simplify 0 into 0 1539333286.441 * [misc]backup-simplify: Simplify 1 into 1 1539333286.441 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.441 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.441 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.441 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333286.441 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333286.441 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333286.441 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.441 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333286.442 * [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)))) 1539333286.442 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.442 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.442 * [misc]taylor: Taking taylor expansion of k in n 1539333286.442 * [misc]backup-simplify: Simplify k into k 1539333286.442 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.442 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.442 * [misc]backup-simplify: Simplify PI into PI 1539333286.442 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.442 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333286.442 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333286.442 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333286.443 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1539333286.443 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1539333286.443 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333286.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.443 * [misc]taylor: Taking taylor expansion of k in n 1539333286.443 * [misc]backup-simplify: Simplify k into k 1539333286.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.443 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333286.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.443 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333286.443 * [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 1539333286.443 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.443 * [misc]taylor: Taking taylor expansion of k in k 1539333286.443 * [misc]backup-simplify: Simplify 0 into 0 1539333286.443 * [misc]backup-simplify: Simplify 1 into 1 1539333286.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333286.443 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.443 * [misc]backup-simplify: Simplify 2 into 2 1539333286.444 * [misc]taylor: Taking taylor expansion of n in k 1539333286.444 * [misc]backup-simplify: Simplify n into n 1539333286.444 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333286.444 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333286.444 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.444 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.444 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.444 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333286.444 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333286.444 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.444 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.444 * [misc]taylor: Taking taylor expansion of k in k 1539333286.444 * [misc]backup-simplify: Simplify 0 into 0 1539333286.444 * [misc]backup-simplify: Simplify 1 into 1 1539333286.444 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.444 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.444 * [misc]backup-simplify: Simplify PI into PI 1539333286.445 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.445 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.445 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.445 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.446 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333286.446 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of k in k 1539333286.446 * [misc]backup-simplify: Simplify 0 into 0 1539333286.446 * [misc]backup-simplify: Simplify 1 into 1 1539333286.446 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.446 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.446 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.446 * [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 1539333286.446 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.447 * [misc]taylor: Taking taylor expansion of k in k 1539333286.447 * [misc]backup-simplify: Simplify 0 into 0 1539333286.447 * [misc]backup-simplify: Simplify 1 into 1 1539333286.447 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.447 * [misc]backup-simplify: Simplify 2 into 2 1539333286.447 * [misc]taylor: Taking taylor expansion of n in k 1539333286.447 * [misc]backup-simplify: Simplify n into n 1539333286.447 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333286.447 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333286.447 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.447 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.447 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333286.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333286.447 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.447 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.447 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.447 * [misc]taylor: Taking taylor expansion of k in k 1539333286.447 * [misc]backup-simplify: Simplify 0 into 0 1539333286.447 * [misc]backup-simplify: Simplify 1 into 1 1539333286.447 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.447 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.448 * [misc]backup-simplify: Simplify PI into PI 1539333286.448 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.448 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333286.448 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.448 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.448 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.449 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333286.449 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333286.449 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.449 * [misc]taylor: Taking taylor expansion of k in k 1539333286.449 * [misc]backup-simplify: Simplify 0 into 0 1539333286.449 * [misc]backup-simplify: Simplify 1 into 1 1539333286.449 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.449 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.450 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.450 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1539333286.450 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1539333286.450 * [misc]taylor: Taking taylor expansion of 0 in n 1539333286.450 * [misc]backup-simplify: Simplify 0 into 0 1539333286.450 * [misc]backup-simplify: Simplify 0 into 0 1539333286.452 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333286.452 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333286.452 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.452 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1539333286.457 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333286.458 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1539333286.458 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1539333286.458 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333286.459 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.459 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1539333286.459 * [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)))) 1539333286.461 * [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)))))) 1539333286.462 * [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))))) 1539333286.462 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.462 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.462 * [misc]backup-simplify: Simplify 2 into 2 1539333286.462 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.462 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333286.462 * [misc]taylor: Taking taylor expansion of n in n 1539333286.462 * [misc]backup-simplify: Simplify 0 into 0 1539333286.462 * [misc]backup-simplify: Simplify 1 into 1 1539333286.462 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.462 * [misc]backup-simplify: Simplify PI into PI 1539333286.462 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333286.463 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333286.463 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.463 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.463 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333286.464 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.464 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.464 * [misc]backup-simplify: Simplify 0 into 0 1539333286.464 * [misc]backup-simplify: Simplify 0 into 0 1539333286.464 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333286.465 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.468 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1539333286.468 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.468 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.469 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1539333286.472 * [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))) 1539333286.473 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1539333286.474 * [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 1539333286.474 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.474 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.475 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1539333286.476 * [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))) 1539333286.483 * [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))))))) 1539333286.492 * [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))))))))) 1539333286.492 * [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 1539333286.492 * [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 1539333286.492 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1539333286.492 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.492 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.492 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1539333286.492 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1539333286.492 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.492 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.492 * [misc]backup-simplify: Simplify 2 into 2 1539333286.492 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.492 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.493 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.493 * [misc]backup-simplify: Simplify PI into PI 1539333286.493 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.493 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.493 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.493 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.493 * [misc]backup-simplify: Simplify PI into PI 1539333286.493 * [misc]taylor: Taking taylor expansion of n in n 1539333286.493 * [misc]backup-simplify: Simplify 0 into 0 1539333286.493 * [misc]backup-simplify: Simplify 1 into 1 1539333286.493 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.494 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.494 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.495 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.495 * [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 1539333286.495 * [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 1539333286.495 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333286.495 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.495 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.495 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333286.495 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.495 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.495 * [misc]backup-simplify: Simplify 2 into 2 1539333286.495 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.496 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.496 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333286.496 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333286.496 * [misc]taylor: Taking taylor expansion of n in n 1539333286.496 * [misc]backup-simplify: Simplify 0 into 0 1539333286.496 * [misc]backup-simplify: Simplify 1 into 1 1539333286.496 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.496 * [misc]backup-simplify: Simplify PI into PI 1539333286.496 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333286.497 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333286.497 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.498 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.498 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1539333286.498 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1539333286.498 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.498 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.498 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1539333286.498 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1539333286.498 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.498 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.498 * [misc]backup-simplify: Simplify 2 into 2 1539333286.498 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.499 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.499 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.499 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.499 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.499 * [misc]backup-simplify: Simplify 2 into 2 1539333286.499 * [misc]taylor: Taking taylor expansion of n in n 1539333286.499 * [misc]backup-simplify: Simplify 0 into 0 1539333286.499 * [misc]backup-simplify: Simplify 1 into 1 1539333286.499 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.499 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.500 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.500 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.500 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.500 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.500 * [misc]backup-simplify: Simplify PI into PI 1539333286.500 * [misc]taylor: Taking taylor expansion of n in n 1539333286.500 * [misc]backup-simplify: Simplify 0 into 0 1539333286.500 * [misc]backup-simplify: Simplify 1 into 1 1539333286.500 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.501 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.501 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.502 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.503 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1539333286.504 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1539333286.504 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.504 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333286.505 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.505 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.505 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1539333286.506 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1539333286.506 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.506 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.506 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.507 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.507 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.507 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.507 * [misc]backup-simplify: Simplify 0 into 0 1539333286.508 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.511 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.513 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.514 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.514 * [misc]backup-simplify: Simplify 0 into 0 1539333286.514 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.516 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333286.524 * [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 1539333286.524 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333286.524 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.524 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.525 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1539333286.530 * [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))) 1539333286.531 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1539333286.533 * [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 1539333286.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333286.533 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1539333286.535 * [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))) 1539333286.544 * [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))))))))) 1539333286.566 * [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))))))))))))))) 1539333286.566 * [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 1539333286.566 * [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 1539333286.566 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1539333286.566 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.566 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.566 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1539333286.566 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1539333286.566 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.567 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.567 * [misc]backup-simplify: Simplify 2 into 2 1539333286.567 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.567 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.567 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.567 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.567 * [misc]backup-simplify: Simplify PI into PI 1539333286.568 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.568 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.568 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.568 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.568 * [misc]backup-simplify: Simplify PI into PI 1539333286.568 * [misc]taylor: Taking taylor expansion of n in n 1539333286.568 * [misc]backup-simplify: Simplify 0 into 0 1539333286.568 * [misc]backup-simplify: Simplify 1 into 1 1539333286.568 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.569 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.569 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.570 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.570 * [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 1539333286.570 * [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 1539333286.570 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1539333286.570 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.570 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.570 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1539333286.570 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1539333286.570 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.570 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.570 * [misc]backup-simplify: Simplify 2 into 2 1539333286.570 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.571 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1539333286.571 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.571 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.571 * [misc]backup-simplify: Simplify PI into PI 1539333286.571 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.571 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.571 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.571 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.571 * [misc]backup-simplify: Simplify PI into PI 1539333286.571 * [misc]taylor: Taking taylor expansion of n in n 1539333286.571 * [misc]backup-simplify: Simplify 0 into 0 1539333286.571 * [misc]backup-simplify: Simplify 1 into 1 1539333286.572 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.572 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.572 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.573 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.573 * [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 1539333286.573 * [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 1539333286.573 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1539333286.573 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.573 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.573 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1539333286.573 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1539333286.573 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.573 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.573 * [misc]backup-simplify: Simplify 2 into 2 1539333286.574 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.574 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.574 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1539333286.574 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.574 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.574 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.574 * [misc]backup-simplify: Simplify 2 into 2 1539333286.574 * [misc]taylor: Taking taylor expansion of n in n 1539333286.574 * [misc]backup-simplify: Simplify 0 into 0 1539333286.574 * [misc]backup-simplify: Simplify 1 into 1 1539333286.574 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.574 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.575 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.575 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.575 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.575 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.575 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.575 * [misc]backup-simplify: Simplify PI into PI 1539333286.575 * [misc]taylor: Taking taylor expansion of n in n 1539333286.575 * [misc]backup-simplify: Simplify 0 into 0 1539333286.575 * [misc]backup-simplify: Simplify 1 into 1 1539333286.576 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.576 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.576 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.577 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.577 * [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 1539333286.577 * [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 1539333286.577 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1539333286.577 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.577 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.577 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1539333286.577 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1539333286.577 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.577 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.577 * [misc]backup-simplify: Simplify 2 into 2 1539333286.578 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.578 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.578 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1539333286.578 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.578 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.578 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.578 * [misc]backup-simplify: Simplify 2 into 2 1539333286.578 * [misc]taylor: Taking taylor expansion of n in n 1539333286.578 * [misc]backup-simplify: Simplify 0 into 0 1539333286.578 * [misc]backup-simplify: Simplify 1 into 1 1539333286.578 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.578 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.579 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.579 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.579 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.579 * [misc]backup-simplify: Simplify PI into PI 1539333286.579 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.579 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333286.579 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333286.579 * [misc]taylor: Taking taylor expansion of n in n 1539333286.579 * [misc]backup-simplify: Simplify 0 into 0 1539333286.579 * [misc]backup-simplify: Simplify 1 into 1 1539333286.579 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.579 * [misc]backup-simplify: Simplify PI into PI 1539333286.580 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333286.580 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333286.580 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.581 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.581 * [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 1539333286.581 * [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 1539333286.581 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1539333286.581 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.581 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.581 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1539333286.581 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.581 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.581 * [misc]backup-simplify: Simplify 2 into 2 1539333286.582 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.582 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.582 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1539333286.582 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333286.582 * [misc]taylor: Taking taylor expansion of n in n 1539333286.582 * [misc]backup-simplify: Simplify 0 into 0 1539333286.582 * [misc]backup-simplify: Simplify 1 into 1 1539333286.582 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.582 * [misc]backup-simplify: Simplify PI into PI 1539333286.582 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333286.583 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333286.583 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.584 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.584 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1539333286.584 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1539333286.584 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.584 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.584 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1539333286.584 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1539333286.584 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333286.584 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.584 * [misc]backup-simplify: Simplify 2 into 2 1539333286.584 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333286.585 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333286.585 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333286.585 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333286.585 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.585 * [misc]backup-simplify: Simplify 2 into 2 1539333286.585 * [misc]taylor: Taking taylor expansion of n in n 1539333286.585 * [misc]backup-simplify: Simplify 0 into 0 1539333286.585 * [misc]backup-simplify: Simplify 1 into 1 1539333286.585 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333286.585 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333286.585 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.585 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1539333286.585 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333286.585 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.586 * [misc]backup-simplify: Simplify PI into PI 1539333286.586 * [misc]taylor: Taking taylor expansion of n in n 1539333286.586 * [misc]backup-simplify: Simplify 0 into 0 1539333286.586 * [misc]backup-simplify: Simplify 1 into 1 1539333286.586 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333286.587 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333286.587 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.587 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1539333286.588 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1539333286.589 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1539333286.589 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.590 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1539333286.592 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1539333286.593 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1539333286.594 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.594 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.595 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1539333286.596 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1539333286.596 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1539333286.597 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.597 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.597 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1539333286.598 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1539333286.599 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1539333286.599 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.600 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1539333286.600 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.600 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.600 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1539333286.601 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1539333286.601 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1539333286.601 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.601 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.602 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.603 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.603 * [misc]backup-simplify: Simplify 0 into 0 1539333286.606 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333286.607 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1539333286.609 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1539333286.612 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1539333286.613 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.615 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1539333286.616 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333286.618 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.618 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333286.619 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1539333286.620 * [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)))))) 1539333286.623 * [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)))))) 1539333286.626 * [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)))))) 1539333286.629 * [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))))))) 1539333286.634 * [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))))))) 1539333286.640 * [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))))))))) 1539333286.649 * [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))))))))) 1539333286.657 * [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))))))))) 1539333286.659 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333286.661 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1539333286.662 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539333286.665 * [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)))) 1539333286.670 * [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)))) 1539333286.673 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539333286.675 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1539333286.689 * [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))))))))))))))) 1539333286.690 * [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)) 1539333286.690 * [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 1539333286.690 * [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 1539333286.690 * [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 1539333286.690 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333286.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333286.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.691 * [misc]taylor: Taking taylor expansion of k in n 1539333286.691 * [misc]backup-simplify: Simplify k into k 1539333286.691 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.691 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.691 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.691 * [misc]backup-simplify: Simplify PI into PI 1539333286.691 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.692 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.692 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.692 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333286.693 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.693 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.693 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of k in n 1539333286.693 * [misc]backup-simplify: Simplify k into k 1539333286.693 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.693 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.693 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.693 * [misc]backup-simplify: Simplify 2 into 2 1539333286.693 * [misc]taylor: Taking taylor expansion of n in n 1539333286.693 * [misc]backup-simplify: Simplify 0 into 0 1539333286.693 * [misc]backup-simplify: Simplify 1 into 1 1539333286.693 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.694 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.694 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.694 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.694 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.694 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.695 * [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))) 1539333286.695 * [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)))) 1539333286.695 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333286.695 * [misc]taylor: Taking taylor expansion of k in n 1539333286.695 * [misc]backup-simplify: Simplify k into k 1539333286.695 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333286.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333286.695 * [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 1539333286.695 * [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 1539333286.695 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333286.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333286.696 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.696 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.696 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.696 * [misc]taylor: Taking taylor expansion of k in k 1539333286.696 * [misc]backup-simplify: Simplify 0 into 0 1539333286.696 * [misc]backup-simplify: Simplify 1 into 1 1539333286.696 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.696 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.696 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.696 * [misc]backup-simplify: Simplify PI into PI 1539333286.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.697 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.697 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.697 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.698 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333286.698 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.698 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.698 * [misc]taylor: Taking taylor expansion of k in k 1539333286.698 * [misc]backup-simplify: Simplify 0 into 0 1539333286.698 * [misc]backup-simplify: Simplify 1 into 1 1539333286.699 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.699 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333286.699 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333286.699 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.699 * [misc]backup-simplify: Simplify 2 into 2 1539333286.699 * [misc]taylor: Taking taylor expansion of n in k 1539333286.699 * [misc]backup-simplify: Simplify n into n 1539333286.699 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333286.699 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333286.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.699 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.699 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.700 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333286.700 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.700 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333286.700 * [misc]taylor: Taking taylor expansion of k in k 1539333286.700 * [misc]backup-simplify: Simplify 0 into 0 1539333286.700 * [misc]backup-simplify: Simplify 1 into 1 1539333286.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.701 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.701 * [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 1539333286.701 * [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 1539333286.701 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of k in k 1539333286.701 * [misc]backup-simplify: Simplify 0 into 0 1539333286.701 * [misc]backup-simplify: Simplify 1 into 1 1539333286.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.701 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.701 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.701 * [misc]backup-simplify: Simplify PI into PI 1539333286.702 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.702 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.702 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.703 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333286.703 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.703 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.703 * [misc]taylor: Taking taylor expansion of k in k 1539333286.704 * [misc]backup-simplify: Simplify 0 into 0 1539333286.704 * [misc]backup-simplify: Simplify 1 into 1 1539333286.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.704 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333286.704 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333286.704 * [misc]taylor: Taking taylor expansion of 2 in k 1539333286.704 * [misc]backup-simplify: Simplify 2 into 2 1539333286.704 * [misc]taylor: Taking taylor expansion of n in k 1539333286.704 * [misc]backup-simplify: Simplify n into n 1539333286.704 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333286.704 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333286.704 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.704 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333286.705 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333286.705 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333286.705 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.705 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333286.705 * [misc]taylor: Taking taylor expansion of k in k 1539333286.705 * [misc]backup-simplify: Simplify 0 into 0 1539333286.705 * [misc]backup-simplify: Simplify 1 into 1 1539333286.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.706 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333286.706 * [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))))) 1539333286.706 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1539333286.706 * [misc]taylor: Taking taylor expansion of 0 in n 1539333286.706 * [misc]backup-simplify: Simplify 0 into 0 1539333286.706 * [misc]backup-simplify: Simplify 0 into 0 1539333286.707 * [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 1539333286.708 * [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))))))) 1539333286.708 * [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 1539333286.708 * [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 1539333286.708 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.708 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.708 * [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 1539333286.708 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.708 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of k in n 1539333286.708 * [misc]backup-simplify: Simplify k into k 1539333286.708 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.708 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.708 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.708 * [misc]backup-simplify: Simplify PI into PI 1539333286.709 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.709 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.709 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.709 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.710 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333286.712 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.712 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.713 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.713 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.713 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of k in n 1539333286.713 * [misc]backup-simplify: Simplify k into k 1539333286.713 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.713 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.713 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.713 * [misc]backup-simplify: Simplify 2 into 2 1539333286.713 * [misc]taylor: Taking taylor expansion of n in n 1539333286.713 * [misc]backup-simplify: Simplify 0 into 0 1539333286.713 * [misc]backup-simplify: Simplify 1 into 1 1539333286.713 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.714 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.714 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.714 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.714 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.714 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.715 * [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))) 1539333286.715 * [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)))) 1539333286.715 * [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))))) 1539333286.716 * [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)))))) 1539333286.717 * [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))))))) 1539333286.717 * [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))))))) 1539333286.717 * [misc]backup-simplify: Simplify 0 into 0 1539333286.719 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.719 * [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 1539333286.720 * [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))))))) 1539333286.720 * [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 1539333286.720 * [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 1539333286.720 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.720 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.720 * [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 1539333286.720 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.720 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.720 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.720 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.720 * [misc]taylor: Taking taylor expansion of k in n 1539333286.720 * [misc]backup-simplify: Simplify k into k 1539333286.721 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.721 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.721 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.721 * [misc]backup-simplify: Simplify PI into PI 1539333286.721 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.721 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.721 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.721 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.722 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333286.722 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.722 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.722 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.723 * [misc]taylor: Taking taylor expansion of k in n 1539333286.723 * [misc]backup-simplify: Simplify k into k 1539333286.723 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.723 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.723 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.723 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.723 * [misc]backup-simplify: Simplify 2 into 2 1539333286.723 * [misc]taylor: Taking taylor expansion of n in n 1539333286.723 * [misc]backup-simplify: Simplify 0 into 0 1539333286.723 * [misc]backup-simplify: Simplify 1 into 1 1539333286.723 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.723 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.723 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.723 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.724 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.724 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.724 * [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))) 1539333286.725 * [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)))) 1539333286.725 * [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))))) 1539333286.726 * [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)))))) 1539333286.726 * [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))))))) 1539333286.727 * [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))))))) 1539333286.727 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333286.731 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333286.731 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.731 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.731 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.731 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.732 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.732 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333286.733 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333286.736 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.737 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.738 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1539333286.739 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.740 * [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 1539333286.741 * [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 1539333286.741 * [misc]backup-simplify: Simplify (- 0) into 0 1539333286.741 * [misc]backup-simplify: Simplify 0 into 0 1539333286.741 * [misc]backup-simplify: Simplify 0 into 0 1539333286.742 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333286.743 * [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 1539333286.744 * [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))))))) 1539333286.744 * [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 1539333286.744 * [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 1539333286.744 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.744 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.744 * [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 1539333286.744 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.744 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333286.744 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333286.744 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.745 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.745 * [misc]taylor: Taking taylor expansion of k in n 1539333286.745 * [misc]backup-simplify: Simplify k into k 1539333286.745 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.745 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.745 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.745 * [misc]backup-simplify: Simplify PI into PI 1539333286.745 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.745 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.745 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.746 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.746 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333286.747 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333286.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of k in n 1539333286.747 * [misc]backup-simplify: Simplify k into k 1539333286.747 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333286.747 * [misc]taylor: Taking taylor expansion of 2 in n 1539333286.747 * [misc]backup-simplify: Simplify 2 into 2 1539333286.747 * [misc]taylor: Taking taylor expansion of n in n 1539333286.747 * [misc]backup-simplify: Simplify 0 into 0 1539333286.747 * [misc]backup-simplify: Simplify 1 into 1 1539333286.747 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333286.748 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333286.748 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.748 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333286.748 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333286.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333286.749 * [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))) 1539333286.749 * [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)))) 1539333286.750 * [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))))) 1539333286.750 * [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)))))) 1539333286.751 * [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))))))) 1539333286.751 * [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))))))) 1539333286.755 * [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)))))))) 1539333286.755 * [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))) 1539333286.755 * [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 1539333286.756 * [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 1539333286.756 * [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 1539333286.756 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of k in n 1539333286.756 * [misc]backup-simplify: Simplify k into k 1539333286.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.756 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.756 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.756 * [misc]backup-simplify: Simplify -2 into -2 1539333286.756 * [misc]taylor: Taking taylor expansion of n in n 1539333286.756 * [misc]backup-simplify: Simplify 0 into 0 1539333286.756 * [misc]backup-simplify: Simplify 1 into 1 1539333286.756 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.757 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.757 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.757 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.757 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.757 * [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))) 1539333286.758 * [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)))) 1539333286.758 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.758 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of k in n 1539333286.758 * [misc]backup-simplify: Simplify k into k 1539333286.758 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.758 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.758 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.758 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.758 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.758 * [misc]backup-simplify: Simplify PI into PI 1539333286.759 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.759 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.760 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333286.760 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.760 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333286.760 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333286.760 * [misc]taylor: Taking taylor expansion of -1 in n 1539333286.760 * [misc]backup-simplify: Simplify -1 into -1 1539333286.760 * [misc]taylor: Taking taylor expansion of k in n 1539333286.760 * [misc]backup-simplify: Simplify k into k 1539333286.760 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333286.760 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333286.761 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333286.761 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333286.761 * [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))) 1539333286.762 * [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))) 1539333286.762 * [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 1539333286.762 * [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 1539333286.762 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.762 * [misc]taylor: Taking taylor expansion of k in k 1539333286.762 * [misc]backup-simplify: Simplify 0 into 0 1539333286.762 * [misc]backup-simplify: Simplify 1 into 1 1539333286.762 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.762 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.763 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333286.763 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333286.763 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.763 * [misc]backup-simplify: Simplify -2 into -2 1539333286.763 * [misc]taylor: Taking taylor expansion of n in k 1539333286.763 * [misc]backup-simplify: Simplify n into n 1539333286.763 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333286.763 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333286.763 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.763 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.763 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333286.763 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.764 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of k in k 1539333286.764 * [misc]backup-simplify: Simplify 0 into 0 1539333286.764 * [misc]backup-simplify: Simplify 1 into 1 1539333286.764 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.764 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.764 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.764 * [misc]backup-simplify: Simplify PI into PI 1539333286.765 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.765 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.765 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.765 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.766 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.766 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333286.766 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333286.766 * [misc]taylor: Taking taylor expansion of -1 in k 1539333286.766 * [misc]backup-simplify: Simplify -1 into -1 1539333286.766 * [misc]taylor: Taking taylor expansion of k in k 1539333286.766 * [misc]backup-simplify: Simplify 0 into 0 1539333286.766 * [misc]backup-simplify: Simplify 1 into 1 1539333286.766 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333286.766 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.767 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333286.767 * [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))) 1539333286.768 * [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)))) 1539333286.768 * [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 1539333286.768 * [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 1539333286.768 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.768 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of k in k 1539333286.768 * [misc]backup-simplify: Simplify 0 into 0 1539333286.768 * [misc]backup-simplify: Simplify 1 into 1 1539333286.768 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.768 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333286.768 * [misc]taylor: Taking taylor expansion of -2 in k 1539333286.768 * [misc]backup-simplify: Simplify -2 into -2 1539333286.768 * [misc]taylor: Taking taylor expansion of n in k 1539333286.768 * [misc]backup-simplify: Simplify n into n 1539333286.769 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333286.769 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333286.769 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.769 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.769 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333286.769 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.769 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333286.769 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333286.769 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333286.769 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333286.769 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333286.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333286.770 * [misc]taylor: Taking taylor expansion of k in k 1539333286.770 * [misc]backup-simplify: Simplify 0 into 0 1539333286.770 * [misc]backup-simplify: Simplify 1 into 1 1539333286.770 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333286.770 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333286.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.770 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333286.770 * [misc]taylor: Taking taylor expansion of PI in k 1539333286.770 * [misc]backup-simplify: Simplify PI into PI 1539333286.770 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.770 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333286.771 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333286.771 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333286.772 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.772 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333286.772 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333286.772 * [misc]taylor: Taking taylor expansion of -1 in k 1539333286.772 * [misc]backup-simplify: Simplify -1 into -1 1539333286.772 * [misc]taylor: Taking taylor expansion of k in k 1539333286.772 * [misc]backup-simplify: Simplify 0 into 0 1539333286.772 * [misc]backup-simplify: Simplify 1 into 1 1539333286.772 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333286.772 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333286.772 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333286.773 * [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))) 1539333286.773 * [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)))) 1539333286.773 * [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 1539333286.773 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.773 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.773 * [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 1539333286.774 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of k in n 1539333286.774 * [misc]backup-simplify: Simplify k into k 1539333286.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.774 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.774 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.774 * [misc]backup-simplify: Simplify -2 into -2 1539333286.774 * [misc]taylor: Taking taylor expansion of n in n 1539333286.774 * [misc]backup-simplify: Simplify 0 into 0 1539333286.774 * [misc]backup-simplify: Simplify 1 into 1 1539333286.774 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.774 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.775 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.775 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.775 * [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))) 1539333286.776 * [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)))) 1539333286.776 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of k in n 1539333286.776 * [misc]backup-simplify: Simplify k into k 1539333286.776 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.776 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.776 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.776 * [misc]backup-simplify: Simplify PI into PI 1539333286.777 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.777 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.777 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.777 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333286.778 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.778 * [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))) 1539333286.779 * [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)))) 1539333286.779 * [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)))) 1539333286.780 * [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 1539333286.780 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333286.782 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333286.783 * [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))))) 1539333286.783 * [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 1539333286.783 * [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 1539333286.783 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.783 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.783 * [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 1539333286.783 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of k in n 1539333286.783 * [misc]backup-simplify: Simplify k into k 1539333286.783 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.783 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.783 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.783 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.783 * [misc]backup-simplify: Simplify -2 into -2 1539333286.783 * [misc]taylor: Taking taylor expansion of n in n 1539333286.783 * [misc]backup-simplify: Simplify 0 into 0 1539333286.783 * [misc]backup-simplify: Simplify 1 into 1 1539333286.784 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.784 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.784 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.784 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.784 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.785 * [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))) 1539333286.785 * [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)))) 1539333286.785 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.785 * [misc]taylor: Taking taylor expansion of k in n 1539333286.785 * [misc]backup-simplify: Simplify k into k 1539333286.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.786 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.786 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.786 * [misc]backup-simplify: Simplify PI into PI 1539333286.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.786 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.786 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.786 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333286.787 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.787 * [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))) 1539333286.788 * [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)))) 1539333286.789 * [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))))) 1539333286.789 * [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))))) 1539333286.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333286.793 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.793 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.793 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.794 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1539333286.795 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.795 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333286.798 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333286.798 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333286.798 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333286.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333286.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.799 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333286.801 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333286.801 * [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 1539333286.802 * [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 1539333286.802 * [misc]backup-simplify: Simplify 0 into 0 1539333286.803 * [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 1539333286.803 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333286.804 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333286.806 * [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))))) 1539333286.806 * [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 1539333286.806 * [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 1539333286.806 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333286.806 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333286.806 * [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 1539333286.806 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.806 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of k in n 1539333286.806 * [misc]backup-simplify: Simplify k into k 1539333286.806 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.806 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.806 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333286.806 * [misc]taylor: Taking taylor expansion of -2 in n 1539333286.806 * [misc]backup-simplify: Simplify -2 into -2 1539333286.806 * [misc]taylor: Taking taylor expansion of n in n 1539333286.806 * [misc]backup-simplify: Simplify 0 into 0 1539333286.807 * [misc]backup-simplify: Simplify 1 into 1 1539333286.807 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333286.807 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333286.807 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.807 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.807 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333286.808 * [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))) 1539333286.808 * [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)))) 1539333286.808 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333286.808 * [misc]taylor: Taking taylor expansion of k in n 1539333286.808 * [misc]backup-simplify: Simplify k into k 1539333286.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333286.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333286.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333286.809 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333286.809 * [misc]taylor: Taking taylor expansion of PI in n 1539333286.809 * [misc]backup-simplify: Simplify PI into PI 1539333286.809 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333286.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333286.809 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333286.810 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333286.810 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333286.811 * [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))) 1539333286.811 * [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)))) 1539333286.812 * [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))))) 1539333286.812 * [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))))) 1539333286.816 * [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)))))))) 1539333286.816 * * * [misc]progress: simplifying candidates 1539333286.816 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1539333286.816 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1539333286.817 * * [misc]simplify: iters left: 6 (9 enodes) 1539333286.822 * * [misc]simplify: iters left: 5 (16 enodes) 1539333286.830 * * [misc]simplify: iters left: 4 (32 enodes) 1539333286.846 * * [misc]simplify: iters left: 3 (68 enodes) 1539333286.884 * * [misc]simplify: iters left: 2 (171 enodes) 1539333286.986 * * [misc]simplify: iters left: 1 (342 enodes) 1539333287.191 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1539333287.191 * [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))))))) 1539333287.191 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1539333287.191 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1539333287.191 * [enter]simplify: Simplifying (* n 2) 1539333287.191 * * [misc]simplify: iters left: 2 (3 enodes) 1539333287.192 * * [misc]simplify: iters left: 1 (4 enodes) 1539333287.193 * [exit]simplify: Simplified to (* n 2) 1539333287.193 * [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))))))) 1539333287.193 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1539333287.193 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333287.193 * * [misc]simplify: iters left: 3 (6 enodes) 1539333287.194 * * [misc]simplify: iters left: 2 (7 enodes) 1539333287.195 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333287.195 * [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)))))) 1539333287.195 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1539333287.195 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333287.196 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.197 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.198 * * [misc]simplify: iters left: 3 (11 enodes) 1539333287.200 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333287.200 * [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))))))) 1539333287.200 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1539333287.200 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333287.203 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.204 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.205 * * [misc]simplify: iters left: 3 (11 enodes) 1539333287.207 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333287.207 * [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))))))) 1539333287.207 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1539333287.207 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333287.208 * * [misc]simplify: iters left: 4 (5 enodes) 1539333287.209 * * [misc]simplify: iters left: 3 (7 enodes) 1539333287.210 * * [misc]simplify: iters left: 2 (10 enodes) 1539333287.212 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333287.212 * [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)))))) 1539333287.212 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1539333287.212 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333287.212 * * [misc]simplify: iters left: 5 (7 enodes) 1539333287.214 * * [misc]simplify: iters left: 4 (10 enodes) 1539333287.215 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333287.215 * [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))))))) 1539333287.216 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1539333287.216 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333287.216 * * [misc]simplify: iters left: 5 (7 enodes) 1539333287.217 * * [misc]simplify: iters left: 4 (10 enodes) 1539333287.219 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333287.219 * [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))))))) 1539333287.219 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1539333287.219 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1539333287.220 * * [misc]simplify: iters left: 5 (7 enodes) 1539333287.221 * * [misc]simplify: iters left: 4 (9 enodes) 1539333287.223 * * [misc]simplify: iters left: 3 (12 enodes) 1539333287.224 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1539333287.224 * [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))))))) 1539333287.225 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1539333287.225 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1539333287.225 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1539333287.225 * * [misc]simplify: iters left: 3 (5 enodes) 1539333287.226 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1539333287.226 * [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)))))) 1539333287.226 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1539333287.226 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333287.227 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.228 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.229 * * [misc]simplify: iters left: 3 (11 enodes) 1539333287.231 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333287.231 * [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)))))) 1539333287.231 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1539333287.231 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333287.232 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.233 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.234 * * [misc]simplify: iters left: 3 (11 enodes) 1539333287.237 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333287.237 * [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)))))) 1539333287.237 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1539333287.237 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333287.238 * * [misc]simplify: iters left: 4 (5 enodes) 1539333287.240 * * [misc]simplify: iters left: 3 (7 enodes) 1539333287.242 * * [misc]simplify: iters left: 2 (10 enodes) 1539333287.245 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333287.245 * [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)))))) 1539333287.245 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1539333287.246 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1539333287.246 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.248 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.251 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1539333287.251 * [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)))))) 1539333287.251 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1539333287.252 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1539333287.252 * * [misc]simplify: iters left: 5 (6 enodes) 1539333287.254 * * [misc]simplify: iters left: 4 (8 enodes) 1539333287.257 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1539333287.257 * [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)))))) 1539333287.257 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1539333287.258 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1539333287.258 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333287.260 * * [misc]simplify: iters left: 6 (12 enodes) 1539333287.266 * * [misc]simplify: iters left: 5 (21 enodes) 1539333287.277 * * [misc]simplify: iters left: 4 (44 enodes) 1539333287.310 * * [misc]simplify: iters left: 3 (125 enodes) 1539333287.398 * * [misc]simplify: iters left: 2 (343 enodes) 1539333287.598 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1539333287.598 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1539333287.599 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1539333287.599 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333287.600 * * [misc]simplify: iters left: 6 (12 enodes) 1539333287.603 * * [misc]simplify: iters left: 5 (21 enodes) 1539333287.611 * * [misc]simplify: iters left: 4 (44 enodes) 1539333287.636 * * [misc]simplify: iters left: 3 (125 enodes) 1539333287.690 * * [misc]simplify: iters left: 2 (343 enodes) 1539333287.937 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1539333287.937 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1539333287.937 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1539333287.937 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1539333287.938 * * [misc]simplify: iters left: 6 (12 enodes) 1539333287.943 * * [misc]simplify: iters left: 5 (19 enodes) 1539333287.952 * * [misc]simplify: iters left: 4 (32 enodes) 1539333287.969 * * [misc]simplify: iters left: 3 (67 enodes) 1539333288.016 * * [misc]simplify: iters left: 2 (194 enodes) 1539333288.181 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333288.181 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1539333288.181 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1539333288.182 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1539333288.182 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1539333288.182 * [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))))) 1539333288.184 * * [misc]simplify: iters left: 6 (14 enodes) 1539333288.191 * * [misc]simplify: iters left: 5 (26 enodes) 1539333288.204 * * [misc]simplify: iters left: 4 (58 enodes) 1539333288.235 * * [misc]simplify: iters left: 3 (117 enodes) 1539333288.273 * * [misc]simplify: iters left: 2 (193 enodes) 1539333288.375 * * [misc]simplify: iters left: 1 (263 enodes) 1539333288.511 * [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))))) 1539333288.511 * [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)))))))) 1539333288.511 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1539333288.511 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1539333288.511 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1539333288.511 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1539333288.512 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1539333288.512 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1539333288.513 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.517 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.521 * * [misc]simplify: iters left: 4 (16 enodes) 1539333288.526 * * [misc]simplify: iters left: 3 (17 enodes) 1539333288.533 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1539333288.533 * [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))))))) 1539333288.533 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333288.534 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.538 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.543 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333288.543 * [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)))))) 1539333288.543 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1539333288.543 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1539333288.544 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.545 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.548 * * [misc]simplify: iters left: 4 (16 enodes) 1539333288.550 * * [misc]simplify: iters left: 3 (17 enodes) 1539333288.553 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1539333288.553 * [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))))))) 1539333288.553 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333288.554 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.557 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.560 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333288.560 * [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)))))) 1539333288.560 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1539333288.560 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1539333288.561 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.563 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.565 * * [misc]simplify: iters left: 4 (20 enodes) 1539333288.569 * * [misc]simplify: iters left: 3 (21 enodes) 1539333288.577 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1539333288.577 * [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))))))) 1539333288.577 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333288.578 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.581 * * [misc]simplify: iters left: 5 (11 enodes) 1539333288.585 * * [misc]simplify: iters left: 4 (14 enodes) 1539333288.590 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333288.590 * [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))))))) 1539333288.591 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1539333288.591 * [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)))))) 1539333288.592 * * [misc]simplify: iters left: 6 (14 enodes) 1539333288.595 * * [misc]simplify: iters left: 5 (23 enodes) 1539333288.599 * * [misc]simplify: iters left: 4 (35 enodes) 1539333288.605 * * [misc]simplify: iters left: 3 (38 enodes) 1539333288.610 * * [misc]simplify: iters left: 2 (41 enodes) 1539333288.618 * [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)))))) 1539333288.618 * [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)))))))) 1539333288.618 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.619 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.621 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.624 * * [misc]simplify: iters left: 4 (18 enodes) 1539333288.627 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.627 * [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)))))))) 1539333288.627 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1539333288.627 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.628 * * [misc]simplify: iters left: 6 (13 enodes) 1539333288.630 * * [misc]simplify: iters left: 5 (18 enodes) 1539333288.633 * * [misc]simplify: iters left: 4 (23 enodes) 1539333288.639 * * [misc]simplify: iters left: 3 (24 enodes) 1539333288.649 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.649 * [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)))))))) 1539333288.649 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.650 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.655 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.659 * * [misc]simplify: iters left: 4 (18 enodes) 1539333288.665 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.666 * [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)))))))) 1539333288.666 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1539333288.666 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1539333288.667 * * [misc]simplify: iters left: 6 (6 enodes) 1539333288.669 * * [misc]simplify: iters left: 5 (10 enodes) 1539333288.674 * * [misc]simplify: iters left: 4 (16 enodes) 1539333288.678 * * [misc]simplify: iters left: 3 (18 enodes) 1539333288.683 * * [misc]simplify: iters left: 2 (23 enodes) 1539333288.689 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333288.690 * [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))))))) 1539333288.690 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.691 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.695 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.700 * * [misc]simplify: iters left: 4 (17 enodes) 1539333288.706 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.706 * [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))))))) 1539333288.707 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1539333288.707 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1539333288.708 * * [misc]simplify: iters left: 5 (9 enodes) 1539333288.711 * * [misc]simplify: iters left: 4 (11 enodes) 1539333288.715 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1539333288.715 * [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))))))) 1539333288.715 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333288.716 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.720 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.725 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333288.725 * [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)))))) 1539333288.725 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1539333288.725 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1539333288.726 * * [misc]simplify: iters left: 5 (9 enodes) 1539333288.729 * * [misc]simplify: iters left: 4 (11 enodes) 1539333288.733 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1539333288.733 * [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))))))) 1539333288.733 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333288.734 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.738 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.743 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333288.743 * [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)))))) 1539333288.743 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1539333288.743 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1539333288.745 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.748 * * [misc]simplify: iters left: 5 (12 enodes) 1539333288.750 * * [misc]simplify: iters left: 4 (15 enodes) 1539333288.752 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1539333288.752 * [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))))))) 1539333288.753 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333288.753 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.755 * * [misc]simplify: iters left: 5 (11 enodes) 1539333288.757 * * [misc]simplify: iters left: 4 (14 enodes) 1539333288.759 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333288.759 * [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))))))) 1539333288.759 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1539333288.759 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333288.762 * * [misc]simplify: iters left: 6 (13 enodes) 1539333288.764 * * [misc]simplify: iters left: 5 (18 enodes) 1539333288.767 * * [misc]simplify: iters left: 4 (21 enodes) 1539333288.771 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333288.771 * [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)))))))) 1539333288.772 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.772 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.775 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.777 * * [misc]simplify: iters left: 4 (18 enodes) 1539333288.780 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.781 * [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)))))))) 1539333288.781 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1539333288.781 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.781 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.784 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.786 * * [misc]simplify: iters left: 4 (18 enodes) 1539333288.789 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.789 * [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)))))))) 1539333288.790 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.790 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.792 * * [misc]simplify: iters left: 5 (15 enodes) 1539333288.795 * * [misc]simplify: iters left: 4 (18 enodes) 1539333288.798 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.798 * [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)))))))) 1539333288.799 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1539333288.799 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1539333288.799 * * [misc]simplify: iters left: 4 (5 enodes) 1539333288.800 * * [misc]simplify: iters left: 3 (7 enodes) 1539333288.802 * * [misc]simplify: iters left: 2 (9 enodes) 1539333288.803 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333288.803 * [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))))))) 1539333288.803 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.803 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.805 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.808 * * [misc]simplify: iters left: 4 (17 enodes) 1539333288.814 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.814 * [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))))))) 1539333288.814 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1539333288.815 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1539333288.815 * * [misc]simplify: iters left: 5 (7 enodes) 1539333288.818 * * [misc]simplify: iters left: 4 (11 enodes) 1539333288.822 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1539333288.822 * [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))))))) 1539333288.822 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333288.823 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.826 * * [misc]simplify: iters left: 5 (12 enodes) 1539333288.831 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333288.831 * [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)))))) 1539333288.831 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1539333288.831 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1539333288.832 * * [misc]simplify: iters left: 5 (7 enodes) 1539333288.836 * * [misc]simplify: iters left: 4 (11 enodes) 1539333288.840 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1539333288.840 * [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))))))) 1539333288.840 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333288.841 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.845 * * [misc]simplify: iters left: 5 (12 enodes) 1539333288.850 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333288.850 * [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)))))) 1539333288.850 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1539333288.850 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1539333288.851 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.854 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.861 * * [misc]simplify: iters left: 4 (16 enodes) 1539333288.866 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1539333288.866 * [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))))))) 1539333288.866 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333288.867 * * [misc]simplify: iters left: 6 (8 enodes) 1539333288.870 * * [misc]simplify: iters left: 5 (10 enodes) 1539333288.873 * * [misc]simplify: iters left: 4 (13 enodes) 1539333288.878 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333288.878 * [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))))))) 1539333288.878 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1539333288.878 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333288.879 * * [misc]simplify: iters left: 6 (12 enodes) 1539333288.884 * * [misc]simplify: iters left: 5 (19 enodes) 1539333288.889 * * [misc]simplify: iters left: 4 (22 enodes) 1539333288.893 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333288.893 * [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)))))))) 1539333288.893 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.894 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.896 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.898 * * [misc]simplify: iters left: 4 (17 enodes) 1539333288.901 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.901 * [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)))))))) 1539333288.901 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1539333288.901 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.902 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.904 * * [misc]simplify: iters left: 5 (16 enodes) 1539333288.906 * * [misc]simplify: iters left: 4 (19 enodes) 1539333288.910 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333288.910 * [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)))))))) 1539333288.910 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.910 * * [misc]simplify: iters left: 6 (11 enodes) 1539333288.912 * * [misc]simplify: iters left: 5 (14 enodes) 1539333288.915 * * [misc]simplify: iters left: 4 (17 enodes) 1539333288.920 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333288.920 * [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)))))))) 1539333288.920 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1539333288.920 * [enter]simplify: Simplifying (/ 1 1) 1539333288.920 * * [misc]simplify: iters left: 2 (2 enodes) 1539333288.921 * * [misc]simplify: iters left: 1 (4 enodes) 1539333288.922 * [exit]simplify: Simplified to 1 1539333288.922 * [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))))))) 1539333288.922 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.923 * * [misc]simplify: iters left: 6 (10 enodes) 1539333288.927 * * [misc]simplify: iters left: 5 (13 enodes) 1539333288.931 * * [misc]simplify: iters left: 4 (16 enodes) 1539333288.937 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.937 * [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))))))) 1539333288.937 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1539333288.937 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1539333288.937 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1539333288.937 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1539333288.937 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333288.938 * * [misc]simplify: iters left: 5 (7 enodes) 1539333288.941 * * [misc]simplify: iters left: 4 (10 enodes) 1539333288.944 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333288.945 * [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)))))) 1539333288.945 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1539333288.945 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333288.946 * * [misc]simplify: iters left: 5 (7 enodes) 1539333288.948 * * [misc]simplify: iters left: 4 (10 enodes) 1539333288.952 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333288.952 * [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)))))) 1539333288.952 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1539333288.952 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1539333288.953 * * [misc]simplify: iters left: 5 (6 enodes) 1539333288.956 * * [misc]simplify: iters left: 4 (8 enodes) 1539333288.959 * * [misc]simplify: iters left: 3 (11 enodes) 1539333288.962 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1539333288.962 * [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)))))) 1539333288.962 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1539333288.963 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.964 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.969 * * [misc]simplify: iters left: 5 (12 enodes) 1539333288.973 * * [misc]simplify: iters left: 4 (15 enodes) 1539333288.977 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.977 * [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))))))) 1539333288.977 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1539333288.977 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.978 * * [misc]simplify: iters left: 6 (9 enodes) 1539333288.979 * * [misc]simplify: iters left: 5 (12 enodes) 1539333288.981 * * [misc]simplify: iters left: 4 (15 enodes) 1539333288.984 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333288.984 * [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))))))) 1539333288.984 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1539333288.984 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1539333288.985 * * [misc]simplify: iters left: 5 (8 enodes) 1539333288.986 * * [misc]simplify: iters left: 4 (11 enodes) 1539333288.988 * * [misc]simplify: iters left: 3 (14 enodes) 1539333288.990 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1539333288.990 * [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)))))) 1539333288.990 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1539333288.990 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333288.991 * * [misc]simplify: iters left: 4 (4 enodes) 1539333288.992 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333288.992 * [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)))))) 1539333288.992 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1539333288.992 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539333288.992 * * [misc]simplify: iters left: 2 (3 enodes) 1539333288.992 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333288.993 * [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)))))) 1539333288.993 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1539333288.993 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1539333288.993 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333288.993 * * [misc]simplify: iters left: 3 (6 enodes) 1539333288.994 * * [misc]simplify: iters left: 2 (7 enodes) 1539333288.995 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333288.995 * [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))))) 1539333288.995 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1539333288.995 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1539333288.996 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333288.997 * * [misc]simplify: iters left: 6 (18 enodes) 1539333289.002 * * [misc]simplify: iters left: 5 (36 enodes) 1539333289.013 * * [misc]simplify: iters left: 4 (90 enodes) 1539333289.085 * * [misc]simplify: iters left: 3 (297 enodes) 1539333289.424 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333289.424 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333289.424 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1539333289.424 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333289.426 * * [misc]simplify: iters left: 6 (18 enodes) 1539333289.431 * * [misc]simplify: iters left: 5 (36 enodes) 1539333289.443 * * [misc]simplify: iters left: 4 (90 enodes) 1539333289.507 * * [misc]simplify: iters left: 3 (297 enodes) 1539333289.838 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333289.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333289.838 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1539333289.838 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333289.839 * * [misc]simplify: iters left: 6 (18 enodes) 1539333289.844 * * [misc]simplify: iters left: 5 (34 enodes) 1539333289.856 * * [misc]simplify: iters left: 4 (78 enodes) 1539333289.886 * * [misc]simplify: iters left: 3 (217 enodes) 1539333290.070 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333290.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333290.070 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1539333290.071 * [enter]simplify: Simplifying (- (- (- (* (log PI) (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333290.072 * * [misc]simplify: iters left: 6 (17 enodes) 1539333290.077 * * [misc]simplify: iters left: 5 (30 enodes) 1539333290.094 * * [misc]simplify: iters left: 4 (65 enodes) 1539333290.139 * * [misc]simplify: iters left: 3 (170 enodes) 1539333290.201 * * [misc]simplify: iters left: 2 (315 enodes) 1539333290.466 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1539333290.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1539333290.466 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1539333290.466 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333290.467 * * [misc]simplify: iters left: 6 (18 enodes) 1539333290.472 * * [misc]simplify: iters left: 5 (33 enodes) 1539333290.481 * * [misc]simplify: iters left: 4 (68 enodes) 1539333290.509 * * [misc]simplify: iters left: 3 (204 enodes) 1539333290.759 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1539333290.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1539333290.759 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1539333290.759 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333290.761 * * [misc]simplify: iters left: 6 (18 enodes) 1539333290.767 * * [misc]simplify: iters left: 5 (33 enodes) 1539333290.775 * * [misc]simplify: iters left: 4 (68 enodes) 1539333290.801 * * [misc]simplify: iters left: 3 (204 enodes) 1539333290.975 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1539333290.975 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1539333290.975 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1539333290.975 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333290.976 * * [misc]simplify: iters left: 6 (18 enodes) 1539333290.980 * * [misc]simplify: iters left: 5 (31 enodes) 1539333290.988 * * [misc]simplify: iters left: 4 (56 enodes) 1539333291.004 * * [misc]simplify: iters left: 3 (127 enodes) 1539333291.134 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1539333291.134 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1539333291.134 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1539333291.134 * [enter]simplify: Simplifying (- (- (- (log (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333291.136 * * [misc]simplify: iters left: 6 (17 enodes) 1539333291.139 * * [misc]simplify: iters left: 5 (27 enodes) 1539333291.145 * * [misc]simplify: iters left: 4 (44 enodes) 1539333291.156 * * [misc]simplify: iters left: 3 (84 enodes) 1539333291.187 * * [misc]simplify: iters left: 2 (222 enodes) 1539333291.396 * [exit]simplify: Simplified to (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))) 1539333291.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (/ k 2) -1/2) (- (- (log PI)) (log (* 2 n)))) (log (sqrt k))))) 1539333291.396 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1539333291.396 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333291.398 * * [misc]simplify: iters left: 6 (19 enodes) 1539333291.410 * * [misc]simplify: iters left: 5 (38 enodes) 1539333291.419 * * [misc]simplify: iters left: 4 (77 enodes) 1539333291.447 * * [misc]simplify: iters left: 3 (215 enodes) 1539333291.662 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333291.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333291.662 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1539333291.662 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333291.664 * * [misc]simplify: iters left: 6 (19 enodes) 1539333291.674 * * [misc]simplify: iters left: 5 (38 enodes) 1539333291.683 * * [misc]simplify: iters left: 4 (77 enodes) 1539333291.717 * * [misc]simplify: iters left: 3 (215 enodes) 1539333291.964 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333291.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333291.964 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1539333291.964 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333291.965 * * [misc]simplify: iters left: 6 (19 enodes) 1539333291.970 * * [misc]simplify: iters left: 5 (36 enodes) 1539333291.979 * * [misc]simplify: iters left: 4 (65 enodes) 1539333291.995 * * [misc]simplify: iters left: 3 (130 enodes) 1539333292.105 * * [misc]simplify: iters left: 2 (462 enodes) 1539333292.969 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1539333292.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1539333292.969 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1539333292.969 * [enter]simplify: Simplifying (- (- (log (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333292.971 * * [misc]simplify: iters left: 6 (18 enodes) 1539333292.975 * * [misc]simplify: iters left: 5 (32 enodes) 1539333292.981 * * [misc]simplify: iters left: 4 (47 enodes) 1539333292.991 * * [misc]simplify: iters left: 3 (73 enodes) 1539333293.021 * * [misc]simplify: iters left: 2 (156 enodes) 1539333293.257 * [exit]simplify: Simplified to (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))) 1539333293.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (log (* 2 n)) (- 1/2 (/ k 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k)))))) 1539333293.257 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1539333293.258 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333293.260 * * [misc]simplify: iters left: 6 (19 enodes) 1539333293.272 * * [misc]simplify: iters left: 5 (40 enodes) 1539333293.292 * * [misc]simplify: iters left: 4 (82 enodes) 1539333293.345 * * [misc]simplify: iters left: 3 (210 enodes) 1539333293.556 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333293.557 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333293.557 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1539333293.557 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333293.559 * * [misc]simplify: iters left: 6 (19 enodes) 1539333293.569 * * [misc]simplify: iters left: 5 (40 enodes) 1539333293.587 * * [misc]simplify: iters left: 4 (82 enodes) 1539333293.633 * * [misc]simplify: iters left: 3 (210 enodes) 1539333293.850 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333293.850 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333293.850 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1539333293.850 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333293.852 * * [misc]simplify: iters left: 6 (19 enodes) 1539333293.858 * * [misc]simplify: iters left: 5 (38 enodes) 1539333293.867 * * [misc]simplify: iters left: 4 (70 enodes) 1539333293.899 * * [misc]simplify: iters left: 3 (133 enodes) 1539333294.018 * * [misc]simplify: iters left: 2 (490 enodes) 1539333294.976 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333294.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1539333294.976 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1539333294.976 * [enter]simplify: Simplifying (- (log (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333294.978 * * [misc]simplify: iters left: 6 (18 enodes) 1539333294.984 * * [misc]simplify: iters left: 5 (34 enodes) 1539333294.991 * * [misc]simplify: iters left: 4 (56 enodes) 1539333295.004 * * [misc]simplify: iters left: 3 (83 enodes) 1539333295.045 * * [misc]simplify: iters left: 2 (189 enodes) 1539333295.264 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))) 1539333295.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (- (log (* 2 n)) (- (log PI)))) (log (sqrt k))))) 1539333295.264 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1539333295.264 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1539333295.264 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1539333295.264 * [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)))))) 1539333295.266 * * [misc]simplify: iters left: 6 (22 enodes) 1539333295.273 * * [misc]simplify: iters left: 5 (49 enodes) 1539333295.291 * * [misc]simplify: iters left: 4 (146 enodes) 1539333295.509 * [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)))))) 1539333295.509 * [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)))))))) 1539333295.509 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1539333295.509 * [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)))))) 1539333295.511 * * [misc]simplify: iters left: 6 (20 enodes) 1539333295.518 * * [misc]simplify: iters left: 5 (48 enodes) 1539333295.542 * * [misc]simplify: iters left: 4 (131 enodes) 1539333295.691 * [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)))))) 1539333295.691 * [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)))))))) 1539333295.691 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1539333295.692 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1539333295.692 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1539333295.692 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1539333295.692 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1539333295.692 * [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))))))) 1539333295.694 * * [misc]simplify: iters left: 6 (20 enodes) 1539333295.704 * * [misc]simplify: iters left: 5 (33 enodes) 1539333295.716 * * [misc]simplify: iters left: 4 (46 enodes) 1539333295.724 * * [misc]simplify: iters left: 3 (53 enodes) 1539333295.730 * * [misc]simplify: iters left: 2 (56 enodes) 1539333295.741 * [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))))))) 1539333295.741 * [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)))))))) 1539333295.741 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333295.742 * * [misc]simplify: iters left: 6 (18 enodes) 1539333295.748 * * [misc]simplify: iters left: 5 (25 enodes) 1539333295.754 * * [misc]simplify: iters left: 4 (29 enodes) 1539333295.759 * * [misc]simplify: iters left: 3 (33 enodes) 1539333295.764 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333295.764 * [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)))))))) 1539333295.764 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1539333295.764 * [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)))))) 1539333295.765 * * [misc]simplify: iters left: 6 (19 enodes) 1539333295.769 * * [misc]simplify: iters left: 5 (28 enodes) 1539333295.775 * * [misc]simplify: iters left: 4 (34 enodes) 1539333295.783 * * [misc]simplify: iters left: 3 (39 enodes) 1539333295.796 * [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)))))) 1539333295.796 * [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)))))))) 1539333295.796 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333295.798 * * [misc]simplify: iters left: 6 (18 enodes) 1539333295.805 * * [misc]simplify: iters left: 5 (25 enodes) 1539333295.814 * * [misc]simplify: iters left: 4 (29 enodes) 1539333295.823 * * [misc]simplify: iters left: 3 (33 enodes) 1539333295.829 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333295.829 * [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)))))))) 1539333295.829 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1539333295.829 * [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))) 1539333295.830 * * [misc]simplify: iters left: 6 (20 enodes) 1539333295.835 * * [misc]simplify: iters left: 5 (34 enodes) 1539333295.842 * * [misc]simplify: iters left: 4 (53 enodes) 1539333295.857 * * [misc]simplify: iters left: 3 (98 enodes) 1539333295.900 * * [misc]simplify: iters left: 2 (155 enodes) 1539333295.956 * * [misc]simplify: iters left: 1 (186 enodes) 1539333296.036 * [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)))))) 1539333296.036 * [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))))))) 1539333296.037 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333296.038 * * [misc]simplify: iters left: 6 (19 enodes) 1539333296.046 * * [misc]simplify: iters left: 5 (29 enodes) 1539333296.054 * * [misc]simplify: iters left: 4 (34 enodes) 1539333296.064 * * [misc]simplify: iters left: 3 (40 enodes) 1539333296.077 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333296.077 * [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)))))) 1539333296.077 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1539333296.077 * [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))) 1539333296.080 * * [misc]simplify: iters left: 6 (20 enodes) 1539333296.089 * * [misc]simplify: iters left: 5 (34 enodes) 1539333296.102 * * [misc]simplify: iters left: 4 (53 enodes) 1539333296.130 * * [misc]simplify: iters left: 3 (98 enodes) 1539333296.175 * * [misc]simplify: iters left: 2 (155 enodes) 1539333296.241 * * [misc]simplify: iters left: 1 (186 enodes) 1539333296.295 * [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)))))) 1539333296.295 * [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))))))) 1539333296.295 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333296.296 * * [misc]simplify: iters left: 6 (19 enodes) 1539333296.301 * * [misc]simplify: iters left: 5 (29 enodes) 1539333296.306 * * [misc]simplify: iters left: 4 (34 enodes) 1539333296.312 * * [misc]simplify: iters left: 3 (40 enodes) 1539333296.320 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333296.320 * [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)))))) 1539333296.320 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1539333296.320 * [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))))) 1539333296.322 * * [misc]simplify: iters left: 6 (19 enodes) 1539333296.326 * * [misc]simplify: iters left: 5 (31 enodes) 1539333296.333 * * [misc]simplify: iters left: 4 (50 enodes) 1539333296.345 * * [misc]simplify: iters left: 3 (95 enodes) 1539333296.371 * * [misc]simplify: iters left: 2 (150 enodes) 1539333296.404 * * [misc]simplify: iters left: 1 (181 enodes) 1539333296.448 * [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)))))) 1539333296.448 * [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))))))) 1539333296.448 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333296.449 * * [misc]simplify: iters left: 6 (16 enodes) 1539333296.453 * * [misc]simplify: iters left: 5 (24 enodes) 1539333296.457 * * [misc]simplify: iters left: 4 (31 enodes) 1539333296.464 * * [misc]simplify: iters left: 3 (37 enodes) 1539333296.469 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333296.469 * [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))))))) 1539333296.469 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1539333296.470 * [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))))))) 1539333296.471 * * [misc]simplify: iters left: 6 (22 enodes) 1539333296.477 * * [misc]simplify: iters left: 5 (39 enodes) 1539333296.486 * * [misc]simplify: iters left: 4 (74 enodes) 1539333296.510 * * [misc]simplify: iters left: 3 (149 enodes) 1539333296.562 * * [misc]simplify: iters left: 2 (277 enodes) 1539333296.704 * * [misc]simplify: iters left: 1 (387 enodes) 1539333296.986 * [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))))) 1539333296.986 * [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)))))))) 1539333296.986 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333296.988 * * [misc]simplify: iters left: 6 (19 enodes) 1539333296.997 * * [misc]simplify: iters left: 5 (28 enodes) 1539333297.006 * * [misc]simplify: iters left: 4 (35 enodes) 1539333297.017 * * [misc]simplify: iters left: 3 (41 enodes) 1539333297.025 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1539333297.025 * [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))))) 1539333297.025 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1539333297.025 * [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)))))) 1539333297.027 * * [misc]simplify: iters left: 6 (21 enodes) 1539333297.032 * * [misc]simplify: iters left: 5 (34 enodes) 1539333297.039 * * [misc]simplify: iters left: 4 (53 enodes) 1539333297.051 * * [misc]simplify: iters left: 3 (98 enodes) 1539333297.093 * * [misc]simplify: iters left: 2 (151 enodes) 1539333297.143 * * [misc]simplify: iters left: 1 (184 enodes) 1539333297.220 * [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)))))) 1539333297.220 * [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)))))))) 1539333297.220 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333297.222 * * [misc]simplify: iters left: 6 (19 enodes) 1539333297.231 * * [misc]simplify: iters left: 5 (28 enodes) 1539333297.240 * * [misc]simplify: iters left: 4 (35 enodes) 1539333297.252 * * [misc]simplify: iters left: 3 (41 enodes) 1539333297.267 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1539333297.267 * [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))))) 1539333297.267 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1539333297.268 * [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)) 1539333297.270 * * [misc]simplify: iters left: 6 (17 enodes) 1539333297.278 * * [misc]simplify: iters left: 5 (29 enodes) 1539333297.292 * * [misc]simplify: iters left: 4 (51 enodes) 1539333297.313 * * [misc]simplify: iters left: 3 (95 enodes) 1539333297.348 * * [misc]simplify: iters left: 2 (277 enodes) 1539333297.578 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1539333297.578 * [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))))))) 1539333297.579 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333297.580 * * [misc]simplify: iters left: 6 (18 enodes) 1539333297.584 * * [misc]simplify: iters left: 5 (27 enodes) 1539333297.589 * * [misc]simplify: iters left: 4 (34 enodes) 1539333297.594 * * [misc]simplify: iters left: 3 (40 enodes) 1539333297.600 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333297.601 * [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))))))) 1539333297.601 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1539333297.601 * [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))) 1539333297.602 * * [misc]simplify: iters left: 6 (19 enodes) 1539333297.606 * * [misc]simplify: iters left: 5 (31 enodes) 1539333297.614 * * [misc]simplify: iters left: 4 (42 enodes) 1539333297.622 * * [misc]simplify: iters left: 3 (58 enodes) 1539333297.634 * * [misc]simplify: iters left: 2 (70 enodes) 1539333297.654 * * [misc]simplify: iters left: 1 (76 enodes) 1539333297.684 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1539333297.684 * [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))))))) 1539333297.684 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333297.686 * * [misc]simplify: iters left: 6 (19 enodes) 1539333297.693 * * [misc]simplify: iters left: 5 (29 enodes) 1539333297.698 * * [misc]simplify: iters left: 4 (34 enodes) 1539333297.704 * * [misc]simplify: iters left: 3 (40 enodes) 1539333297.712 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333297.712 * [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)))))) 1539333297.712 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1539333297.712 * [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))) 1539333297.714 * * [misc]simplify: iters left: 6 (19 enodes) 1539333297.719 * * [misc]simplify: iters left: 5 (31 enodes) 1539333297.724 * * [misc]simplify: iters left: 4 (42 enodes) 1539333297.733 * * [misc]simplify: iters left: 3 (58 enodes) 1539333297.742 * * [misc]simplify: iters left: 2 (70 enodes) 1539333297.751 * * [misc]simplify: iters left: 1 (76 enodes) 1539333297.769 * [exit]simplify: Simplified to (* (* (sqrt (* n 2)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1539333297.769 * [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))))))) 1539333297.770 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333297.772 * * [misc]simplify: iters left: 6 (19 enodes) 1539333297.780 * * [misc]simplify: iters left: 5 (29 enodes) 1539333297.789 * * [misc]simplify: iters left: 4 (34 enodes) 1539333297.798 * * [misc]simplify: iters left: 3 (40 enodes) 1539333297.804 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333297.804 * [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)))))) 1539333297.804 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1539333297.804 * [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))))) 1539333297.806 * * [misc]simplify: iters left: 6 (18 enodes) 1539333297.810 * * [misc]simplify: iters left: 5 (28 enodes) 1539333297.815 * * [misc]simplify: iters left: 4 (39 enodes) 1539333297.823 * * [misc]simplify: iters left: 3 (55 enodes) 1539333297.831 * * [misc]simplify: iters left: 2 (67 enodes) 1539333297.845 * * [misc]simplify: iters left: 1 (73 enodes) 1539333297.874 * [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))))) 1539333297.874 * [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))))))) 1539333297.874 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333297.876 * * [misc]simplify: iters left: 6 (16 enodes) 1539333297.883 * * [misc]simplify: iters left: 5 (24 enodes) 1539333297.895 * * [misc]simplify: iters left: 4 (31 enodes) 1539333297.905 * * [misc]simplify: iters left: 3 (37 enodes) 1539333297.917 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333297.917 * [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))))))) 1539333297.917 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1539333297.917 * [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))))))) 1539333297.919 * * [misc]simplify: iters left: 6 (21 enodes) 1539333297.929 * * [misc]simplify: iters left: 5 (34 enodes) 1539333297.941 * * [misc]simplify: iters left: 4 (49 enodes) 1539333297.961 * * [misc]simplify: iters left: 3 (79 enodes) 1539333297.991 * * [misc]simplify: iters left: 2 (118 enodes) 1539333298.041 * * [misc]simplify: iters left: 1 (151 enodes) 1539333298.116 * [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))) 1539333298.116 * [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)))))))) 1539333298.116 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333298.118 * * [misc]simplify: iters left: 6 (19 enodes) 1539333298.126 * * [misc]simplify: iters left: 5 (28 enodes) 1539333298.135 * * [misc]simplify: iters left: 4 (35 enodes) 1539333298.150 * * [misc]simplify: iters left: 3 (41 enodes) 1539333298.164 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333298.164 * [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))))) 1539333298.164 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1539333298.164 * [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)))))) 1539333298.166 * * [misc]simplify: iters left: 6 (20 enodes) 1539333298.176 * * [misc]simplify: iters left: 5 (31 enodes) 1539333298.186 * * [misc]simplify: iters left: 4 (42 enodes) 1539333298.202 * * [misc]simplify: iters left: 3 (58 enodes) 1539333298.220 * * [misc]simplify: iters left: 2 (70 enodes) 1539333298.239 * * [misc]simplify: iters left: 1 (76 enodes) 1539333298.275 * [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)))) 1539333298.275 * [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)))))))) 1539333298.275 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333298.277 * * [misc]simplify: iters left: 6 (19 enodes) 1539333298.286 * * [misc]simplify: iters left: 5 (28 enodes) 1539333298.295 * * [misc]simplify: iters left: 4 (35 enodes) 1539333298.307 * * [misc]simplify: iters left: 3 (41 enodes) 1539333298.321 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333298.321 * [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))))) 1539333298.321 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1539333298.321 * [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)) 1539333298.323 * * [misc]simplify: iters left: 6 (16 enodes) 1539333298.331 * * [misc]simplify: iters left: 5 (26 enodes) 1539333298.342 * * [misc]simplify: iters left: 4 (38 enodes) 1539333298.354 * * [misc]simplify: iters left: 3 (50 enodes) 1539333298.366 * * [misc]simplify: iters left: 2 (51 enodes) 1539333298.377 * * [misc]simplify: iters left: 1 (57 enodes) 1539333298.395 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1539333298.395 * [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))))))) 1539333298.396 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333298.398 * * [misc]simplify: iters left: 6 (18 enodes) 1539333298.406 * * [misc]simplify: iters left: 5 (27 enodes) 1539333298.417 * * [misc]simplify: iters left: 4 (34 enodes) 1539333298.428 * * [misc]simplify: iters left: 3 (40 enodes) 1539333298.441 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333298.441 * [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))))))) 1539333298.441 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1539333298.441 * [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))) 1539333298.443 * * [misc]simplify: iters left: 6 (17 enodes) 1539333298.451 * * [misc]simplify: iters left: 5 (29 enodes) 1539333298.462 * * [misc]simplify: iters left: 4 (40 enodes) 1539333298.478 * * [misc]simplify: iters left: 3 (59 enodes) 1539333298.497 * * [misc]simplify: iters left: 2 (81 enodes) 1539333298.536 * * [misc]simplify: iters left: 1 (160 enodes) 1539333298.609 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1539333298.609 * [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))))))) 1539333298.610 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333298.611 * * [misc]simplify: iters left: 6 (18 enodes) 1539333298.615 * * [misc]simplify: iters left: 5 (28 enodes) 1539333298.619 * * [misc]simplify: iters left: 4 (33 enodes) 1539333298.625 * * [misc]simplify: iters left: 3 (39 enodes) 1539333298.631 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1539333298.631 * [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)))))) 1539333298.631 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1539333298.631 * [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))) 1539333298.632 * * [misc]simplify: iters left: 6 (17 enodes) 1539333298.637 * * [misc]simplify: iters left: 5 (29 enodes) 1539333298.642 * * [misc]simplify: iters left: 4 (40 enodes) 1539333298.652 * * [misc]simplify: iters left: 3 (59 enodes) 1539333298.662 * * [misc]simplify: iters left: 2 (81 enodes) 1539333298.686 * * [misc]simplify: iters left: 1 (160 enodes) 1539333298.748 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1539333298.748 * [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))))))) 1539333298.748 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333298.750 * * [misc]simplify: iters left: 6 (18 enodes) 1539333298.758 * * [misc]simplify: iters left: 5 (28 enodes) 1539333298.767 * * [misc]simplify: iters left: 4 (33 enodes) 1539333298.777 * * [misc]simplify: iters left: 3 (39 enodes) 1539333298.783 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1539333298.783 * [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)))))) 1539333298.783 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1539333298.783 * [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))))) 1539333298.784 * * [misc]simplify: iters left: 6 (16 enodes) 1539333298.788 * * [misc]simplify: iters left: 5 (26 enodes) 1539333298.792 * * [misc]simplify: iters left: 4 (37 enodes) 1539333298.800 * * [misc]simplify: iters left: 3 (56 enodes) 1539333298.812 * * [misc]simplify: iters left: 2 (78 enodes) 1539333298.851 * * [misc]simplify: iters left: 1 (140 enodes) 1539333298.930 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1539333298.930 * [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))))))) 1539333298.931 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333298.933 * * [misc]simplify: iters left: 6 (15 enodes) 1539333298.940 * * [misc]simplify: iters left: 5 (23 enodes) 1539333298.947 * * [misc]simplify: iters left: 4 (30 enodes) 1539333298.960 * * [misc]simplify: iters left: 3 (36 enodes) 1539333298.969 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333298.969 * [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))))))) 1539333298.969 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1539333298.970 * [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))))))) 1539333298.971 * * [misc]simplify: iters left: 6 (19 enodes) 1539333298.976 * * [misc]simplify: iters left: 5 (32 enodes) 1539333298.982 * * [misc]simplify: iters left: 4 (47 enodes) 1539333298.993 * * [misc]simplify: iters left: 3 (78 enodes) 1539333299.018 * * [misc]simplify: iters left: 2 (146 enodes) 1539333299.134 * * [misc]simplify: iters left: 1 (394 enodes) 1539333299.493 * [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)))))) 1539333299.493 * [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)))))))) 1539333299.494 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333299.495 * * [misc]simplify: iters left: 6 (18 enodes) 1539333299.499 * * [misc]simplify: iters left: 5 (27 enodes) 1539333299.504 * * [misc]simplify: iters left: 4 (34 enodes) 1539333299.510 * * [misc]simplify: iters left: 3 (40 enodes) 1539333299.517 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333299.517 * [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)))))))) 1539333299.517 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1539333299.517 * [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)))))) 1539333299.518 * * [misc]simplify: iters left: 6 (18 enodes) 1539333299.522 * * [misc]simplify: iters left: 5 (29 enodes) 1539333299.528 * * [misc]simplify: iters left: 4 (40 enodes) 1539333299.539 * * [misc]simplify: iters left: 3 (59 enodes) 1539333299.550 * * [misc]simplify: iters left: 2 (81 enodes) 1539333299.580 * * [misc]simplify: iters left: 1 (161 enodes) 1539333299.642 * [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)))))) 1539333299.642 * [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)))))))) 1539333299.642 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333299.644 * * [misc]simplify: iters left: 6 (18 enodes) 1539333299.650 * * [misc]simplify: iters left: 5 (27 enodes) 1539333299.655 * * [misc]simplify: iters left: 4 (34 enodes) 1539333299.660 * * [misc]simplify: iters left: 3 (40 enodes) 1539333299.667 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333299.667 * [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)))))))) 1539333299.667 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1539333299.667 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (/ 1 1)) 1539333299.668 * * [misc]simplify: iters left: 6 (14 enodes) 1539333299.671 * * [misc]simplify: iters left: 5 (21 enodes) 1539333299.675 * * [misc]simplify: iters left: 4 (29 enodes) 1539333299.685 * * [misc]simplify: iters left: 3 (39 enodes) 1539333299.698 * * [misc]simplify: iters left: 2 (51 enodes) 1539333299.714 * * [misc]simplify: iters left: 1 (79 enodes) 1539333299.737 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1539333299.737 * [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))))))) 1539333299.737 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333299.739 * * [misc]simplify: iters left: 6 (17 enodes) 1539333299.747 * * [misc]simplify: iters left: 5 (26 enodes) 1539333299.757 * * [misc]simplify: iters left: 4 (33 enodes) 1539333299.769 * * [misc]simplify: iters left: 3 (39 enodes) 1539333299.781 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333299.781 * [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))))))) 1539333299.781 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1539333299.781 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1) 1539333299.783 * * [misc]simplify: iters left: 6 (13 enodes) 1539333299.789 * * [misc]simplify: iters left: 5 (21 enodes) 1539333299.798 * * [misc]simplify: iters left: 4 (31 enodes) 1539333299.809 * * [misc]simplify: iters left: 3 (46 enodes) 1539333299.825 * * [misc]simplify: iters left: 2 (72 enodes) 1539333299.847 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1539333299.847 * [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))))))) 1539333299.848 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333299.849 * * [misc]simplify: iters left: 6 (17 enodes) 1539333299.857 * * [misc]simplify: iters left: 5 (26 enodes) 1539333299.866 * * [misc]simplify: iters left: 4 (33 enodes) 1539333299.877 * * [misc]simplify: iters left: 3 (39 enodes) 1539333299.889 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333299.889 * [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))))))) 1539333299.889 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1539333299.889 * [enter]simplify: Simplifying (/ (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) (sqrt k)) 1539333299.891 * * [misc]simplify: iters left: 6 (14 enodes) 1539333299.900 * * [misc]simplify: iters left: 5 (22 enodes) 1539333299.907 * * [misc]simplify: iters left: 4 (28 enodes) 1539333299.917 * * [misc]simplify: iters left: 3 (33 enodes) 1539333299.928 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1539333299.928 * [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))))))) 1539333299.928 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1539333299.930 * * [misc]simplify: iters left: 6 (16 enodes) 1539333299.934 * * [misc]simplify: iters left: 5 (25 enodes) 1539333299.938 * * [misc]simplify: iters left: 4 (32 enodes) 1539333299.945 * * [misc]simplify: iters left: 3 (45 enodes) 1539333299.951 * * [misc]simplify: iters left: 2 (47 enodes) 1539333299.955 * * [misc]simplify: iters left: 1 (52 enodes) 1539333299.963 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1539333299.963 * [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))))))) 1539333299.963 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1539333299.963 * [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))) 1539333299.964 * * [misc]simplify: iters left: 6 (18 enodes) 1539333299.969 * * [misc]simplify: iters left: 5 (30 enodes) 1539333299.974 * * [misc]simplify: iters left: 4 (41 enodes) 1539333299.981 * * [misc]simplify: iters left: 3 (57 enodes) 1539333299.995 * * [misc]simplify: iters left: 2 (69 enodes) 1539333300.014 * * [misc]simplify: iters left: 1 (75 enodes) 1539333300.032 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 2 n)) (sqrt k))) 1539333300.032 * [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))))) 1539333300.032 * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1539333300.033 * * [misc]simplify: iters left: 6 (15 enodes) 1539333300.036 * * [misc]simplify: iters left: 5 (22 enodes) 1539333300.040 * * [misc]simplify: iters left: 4 (26 enodes) 1539333300.045 * * [misc]simplify: iters left: 3 (30 enodes) 1539333300.054 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1539333300.054 * [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))))) 1539333300.054 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1539333300.055 * [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))))))) 1539333300.057 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.062 * * [misc]simplify: iters left: 5 (28 enodes) 1539333300.067 * * [misc]simplify: iters left: 4 (32 enodes) 1539333300.073 * * [misc]simplify: iters left: 3 (36 enodes) 1539333300.082 * [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)))))) 1539333300.082 * [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)))))))) 1539333300.082 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333300.084 * * [misc]simplify: iters left: 6 (18 enodes) 1539333300.092 * * [misc]simplify: iters left: 5 (25 enodes) 1539333300.099 * * [misc]simplify: iters left: 4 (29 enodes) 1539333300.110 * * [misc]simplify: iters left: 3 (33 enodes) 1539333300.120 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333300.120 * [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)))))))) 1539333300.120 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1539333300.121 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333300.122 * * [misc]simplify: iters left: 6 (18 enodes) 1539333300.130 * * [misc]simplify: iters left: 5 (25 enodes) 1539333300.138 * * [misc]simplify: iters left: 4 (29 enodes) 1539333300.148 * * [misc]simplify: iters left: 3 (33 enodes) 1539333300.158 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333300.158 * [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)))))))) 1539333300.159 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333300.160 * * [misc]simplify: iters left: 6 (18 enodes) 1539333300.168 * * [misc]simplify: iters left: 5 (25 enodes) 1539333300.176 * * [misc]simplify: iters left: 4 (29 enodes) 1539333300.186 * * [misc]simplify: iters left: 3 (33 enodes) 1539333300.196 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333300.196 * [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)))))))) 1539333300.196 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1539333300.197 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333300.199 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.204 * * [misc]simplify: iters left: 5 (31 enodes) 1539333300.211 * * [misc]simplify: iters left: 4 (42 enodes) 1539333300.220 * * [misc]simplify: iters left: 3 (58 enodes) 1539333300.228 * * [misc]simplify: iters left: 2 (63 enodes) 1539333300.236 * * [misc]simplify: iters left: 1 (70 enodes) 1539333300.256 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1539333300.256 * [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))))))) 1539333300.256 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333300.258 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.267 * * [misc]simplify: iters left: 5 (29 enodes) 1539333300.272 * * [misc]simplify: iters left: 4 (34 enodes) 1539333300.278 * * [misc]simplify: iters left: 3 (40 enodes) 1539333300.284 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333300.284 * [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)))))) 1539333300.284 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1539333300.284 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333300.285 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.290 * * [misc]simplify: iters left: 5 (31 enodes) 1539333300.298 * * [misc]simplify: iters left: 4 (42 enodes) 1539333300.308 * * [misc]simplify: iters left: 3 (58 enodes) 1539333300.325 * * [misc]simplify: iters left: 2 (63 enodes) 1539333300.341 * * [misc]simplify: iters left: 1 (70 enodes) 1539333300.357 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2)))) 1539333300.357 * [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))))))) 1539333300.358 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333300.359 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.363 * * [misc]simplify: iters left: 5 (29 enodes) 1539333300.367 * * [misc]simplify: iters left: 4 (34 enodes) 1539333300.374 * * [misc]simplify: iters left: 3 (40 enodes) 1539333300.387 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333300.387 * [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)))))) 1539333300.387 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1539333300.387 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1539333300.389 * * [misc]simplify: iters left: 6 (18 enodes) 1539333300.398 * * [misc]simplify: iters left: 5 (28 enodes) 1539333300.411 * * [misc]simplify: iters left: 4 (39 enodes) 1539333300.427 * * [misc]simplify: iters left: 3 (55 enodes) 1539333300.444 * * [misc]simplify: iters left: 2 (60 enodes) 1539333300.459 * * [misc]simplify: iters left: 1 (67 enodes) 1539333300.480 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1539333300.480 * [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))))))) 1539333300.480 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333300.482 * * [misc]simplify: iters left: 6 (16 enodes) 1539333300.486 * * [misc]simplify: iters left: 5 (24 enodes) 1539333300.491 * * [misc]simplify: iters left: 4 (31 enodes) 1539333300.496 * * [misc]simplify: iters left: 3 (37 enodes) 1539333300.502 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333300.502 * [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))))))) 1539333300.502 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1539333300.502 * [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))))))) 1539333300.503 * * [misc]simplify: iters left: 6 (21 enodes) 1539333300.509 * * [misc]simplify: iters left: 5 (36 enodes) 1539333300.518 * * [misc]simplify: iters left: 4 (58 enodes) 1539333300.540 * * [misc]simplify: iters left: 3 (85 enodes) 1539333300.572 * * [misc]simplify: iters left: 2 (115 enodes) 1539333300.611 * * [misc]simplify: iters left: 1 (139 enodes) 1539333300.686 * [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)))))) 1539333300.686 * [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)))))))) 1539333300.686 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333300.688 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.696 * * [misc]simplify: iters left: 5 (28 enodes) 1539333300.705 * * [misc]simplify: iters left: 4 (35 enodes) 1539333300.710 * * [misc]simplify: iters left: 3 (41 enodes) 1539333300.717 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1539333300.718 * [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))))) 1539333300.718 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1539333300.718 * [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)))))) 1539333300.719 * * [misc]simplify: iters left: 6 (20 enodes) 1539333300.724 * * [misc]simplify: iters left: 5 (31 enodes) 1539333300.735 * * [misc]simplify: iters left: 4 (42 enodes) 1539333300.750 * * [misc]simplify: iters left: 3 (58 enodes) 1539333300.770 * * [misc]simplify: iters left: 2 (63 enodes) 1539333300.785 * * [misc]simplify: iters left: 1 (70 enodes) 1539333300.799 * [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)))))) 1539333300.799 * [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)))))))) 1539333300.799 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333300.800 * * [misc]simplify: iters left: 6 (19 enodes) 1539333300.804 * * [misc]simplify: iters left: 5 (28 enodes) 1539333300.809 * * [misc]simplify: iters left: 4 (35 enodes) 1539333300.815 * * [misc]simplify: iters left: 3 (41 enodes) 1539333300.829 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1539333300.829 * [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))))) 1539333300.829 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1539333300.830 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1539333300.831 * * [misc]simplify: iters left: 6 (16 enodes) 1539333300.839 * * [misc]simplify: iters left: 5 (26 enodes) 1539333300.850 * * [misc]simplify: iters left: 4 (41 enodes) 1539333300.860 * * [misc]simplify: iters left: 3 (63 enodes) 1539333300.876 * * [misc]simplify: iters left: 2 (129 enodes) 1539333300.939 * * [misc]simplify: iters left: 1 (190 enodes) 1539333300.979 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333300.979 * [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))))))) 1539333300.979 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333300.980 * * [misc]simplify: iters left: 6 (18 enodes) 1539333300.986 * * [misc]simplify: iters left: 5 (27 enodes) 1539333300.990 * * [misc]simplify: iters left: 4 (34 enodes) 1539333300.996 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.002 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333301.002 * [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))))))) 1539333301.003 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1539333301.003 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333301.004 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.008 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.013 * * [misc]simplify: iters left: 4 (35 enodes) 1539333301.019 * * [misc]simplify: iters left: 3 (41 enodes) 1539333301.025 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1539333301.025 * [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))))))) 1539333301.025 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333301.026 * * [misc]simplify: iters left: 6 (19 enodes) 1539333301.031 * * [misc]simplify: iters left: 5 (29 enodes) 1539333301.035 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.045 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.058 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333301.058 * [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)))))) 1539333301.058 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1539333301.058 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333301.060 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.069 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.078 * * [misc]simplify: iters left: 4 (35 enodes) 1539333301.089 * * [misc]simplify: iters left: 3 (41 enodes) 1539333301.101 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1539333301.102 * [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))))))) 1539333301.102 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333301.104 * * [misc]simplify: iters left: 6 (19 enodes) 1539333301.112 * * [misc]simplify: iters left: 5 (29 enodes) 1539333301.122 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.133 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.145 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333301.145 * [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)))))) 1539333301.146 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1539333301.146 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1539333301.147 * * [misc]simplify: iters left: 6 (17 enodes) 1539333301.151 * * [misc]simplify: iters left: 5 (25 enodes) 1539333301.155 * * [misc]simplify: iters left: 4 (32 enodes) 1539333301.161 * * [misc]simplify: iters left: 3 (38 enodes) 1539333301.169 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1539333301.169 * [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))))))) 1539333301.169 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333301.170 * * [misc]simplify: iters left: 6 (16 enodes) 1539333301.174 * * [misc]simplify: iters left: 5 (24 enodes) 1539333301.178 * * [misc]simplify: iters left: 4 (31 enodes) 1539333301.184 * * [misc]simplify: iters left: 3 (37 enodes) 1539333301.189 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333301.190 * [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))))))) 1539333301.190 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1539333301.190 * [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))))))) 1539333301.191 * * [misc]simplify: iters left: 6 (20 enodes) 1539333301.196 * * [misc]simplify: iters left: 5 (31 enodes) 1539333301.201 * * [misc]simplify: iters left: 4 (40 enodes) 1539333301.214 * * [misc]simplify: iters left: 3 (53 enodes) 1539333301.230 * * [misc]simplify: iters left: 2 (61 enodes) 1539333301.245 * * [misc]simplify: iters left: 1 (63 enodes) 1539333301.274 * [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)))))) 1539333301.274 * [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)))))))) 1539333301.274 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.276 * * [misc]simplify: iters left: 6 (19 enodes) 1539333301.284 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.293 * * [misc]simplify: iters left: 4 (35 enodes) 1539333301.305 * * [misc]simplify: iters left: 3 (41 enodes) 1539333301.319 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333301.319 * [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))))) 1539333301.319 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1539333301.319 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.321 * * [misc]simplify: iters left: 6 (19 enodes) 1539333301.329 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.338 * * [misc]simplify: iters left: 4 (35 enodes) 1539333301.350 * * [misc]simplify: iters left: 3 (41 enodes) 1539333301.364 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333301.364 * [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)))))))) 1539333301.365 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.366 * * [misc]simplify: iters left: 6 (19 enodes) 1539333301.375 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.384 * * [misc]simplify: iters left: 4 (35 enodes) 1539333301.397 * * [misc]simplify: iters left: 3 (41 enodes) 1539333301.414 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333301.414 * [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))))) 1539333301.414 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1539333301.414 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1539333301.416 * * [misc]simplify: iters left: 6 (15 enodes) 1539333301.423 * * [misc]simplify: iters left: 5 (23 enodes) 1539333301.432 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.443 * * [misc]simplify: iters left: 3 (39 enodes) 1539333301.452 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333301.452 * [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))))))) 1539333301.453 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333301.454 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.459 * * [misc]simplify: iters left: 5 (27 enodes) 1539333301.463 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.469 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.475 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333301.475 * [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))))))) 1539333301.475 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1539333301.476 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1539333301.477 * * [misc]simplify: iters left: 6 (16 enodes) 1539333301.480 * * [misc]simplify: iters left: 5 (26 enodes) 1539333301.486 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.498 * * [misc]simplify: iters left: 3 (46 enodes) 1539333301.510 * * [misc]simplify: iters left: 2 (48 enodes) 1539333301.523 * * [misc]simplify: iters left: 1 (53 enodes) 1539333301.538 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1539333301.538 * [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))))))) 1539333301.538 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333301.540 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.548 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.554 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.560 * * [misc]simplify: iters left: 3 (39 enodes) 1539333301.566 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1539333301.566 * [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)))))) 1539333301.566 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1539333301.566 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1539333301.567 * * [misc]simplify: iters left: 6 (16 enodes) 1539333301.571 * * [misc]simplify: iters left: 5 (26 enodes) 1539333301.575 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.583 * * [misc]simplify: iters left: 3 (46 enodes) 1539333301.596 * * [misc]simplify: iters left: 2 (48 enodes) 1539333301.607 * * [misc]simplify: iters left: 1 (53 enodes) 1539333301.622 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1539333301.622 * [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))))))) 1539333301.622 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333301.624 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.634 * * [misc]simplify: iters left: 5 (28 enodes) 1539333301.643 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.654 * * [misc]simplify: iters left: 3 (39 enodes) 1539333301.666 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1539333301.666 * [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)))))) 1539333301.667 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1539333301.667 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1539333301.669 * * [misc]simplify: iters left: 6 (15 enodes) 1539333301.676 * * [misc]simplify: iters left: 5 (23 enodes) 1539333301.683 * * [misc]simplify: iters left: 4 (30 enodes) 1539333301.692 * * [misc]simplify: iters left: 3 (43 enodes) 1539333301.697 * * [misc]simplify: iters left: 2 (45 enodes) 1539333301.702 * * [misc]simplify: iters left: 1 (50 enodes) 1539333301.709 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1539333301.709 * [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))))))) 1539333301.709 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333301.710 * * [misc]simplify: iters left: 6 (15 enodes) 1539333301.714 * * [misc]simplify: iters left: 5 (23 enodes) 1539333301.718 * * [misc]simplify: iters left: 4 (30 enodes) 1539333301.723 * * [misc]simplify: iters left: 3 (36 enodes) 1539333301.729 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333301.729 * [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))))))) 1539333301.729 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1539333301.729 * [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))))))) 1539333301.732 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.736 * * [misc]simplify: iters left: 5 (29 enodes) 1539333301.741 * * [misc]simplify: iters left: 4 (38 enodes) 1539333301.749 * * [misc]simplify: iters left: 3 (55 enodes) 1539333301.758 * * [misc]simplify: iters left: 2 (64 enodes) 1539333301.774 * * [misc]simplify: iters left: 1 (74 enodes) 1539333301.802 * [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)))))) 1539333301.802 * [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)))))))) 1539333301.803 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.804 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.808 * * [misc]simplify: iters left: 5 (27 enodes) 1539333301.812 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.818 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.827 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333301.827 * [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)))))))) 1539333301.827 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1539333301.827 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.828 * * [misc]simplify: iters left: 6 (17 enodes) 1539333301.833 * * [misc]simplify: iters left: 5 (26 enodes) 1539333301.837 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.843 * * [misc]simplify: iters left: 3 (46 enodes) 1539333301.850 * * [misc]simplify: iters left: 2 (48 enodes) 1539333301.855 * * [misc]simplify: iters left: 1 (53 enodes) 1539333301.862 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1539333301.862 * [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)))))))) 1539333301.862 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333301.863 * * [misc]simplify: iters left: 6 (18 enodes) 1539333301.867 * * [misc]simplify: iters left: 5 (27 enodes) 1539333301.872 * * [misc]simplify: iters left: 4 (34 enodes) 1539333301.878 * * [misc]simplify: iters left: 3 (40 enodes) 1539333301.885 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333301.885 * [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)))))))) 1539333301.885 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1539333301.885 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 1)) 1539333301.886 * * [misc]simplify: iters left: 6 (13 enodes) 1539333301.888 * * [misc]simplify: iters left: 5 (18 enodes) 1539333301.894 * * [misc]simplify: iters left: 4 (26 enodes) 1539333301.898 * * [misc]simplify: iters left: 3 (30 enodes) 1539333301.905 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1539333301.905 * [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))))))) 1539333301.906 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333301.907 * * [misc]simplify: iters left: 6 (17 enodes) 1539333301.915 * * [misc]simplify: iters left: 5 (26 enodes) 1539333301.923 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.935 * * [misc]simplify: iters left: 3 (39 enodes) 1539333301.947 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333301.947 * [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))))))) 1539333301.947 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1539333301.947 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1) 1539333301.948 * * [misc]simplify: iters left: 6 (12 enodes) 1539333301.954 * * [misc]simplify: iters left: 5 (18 enodes) 1539333301.962 * * [misc]simplify: iters left: 4 (24 enodes) 1539333301.968 * * [misc]simplify: iters left: 3 (25 enodes) 1539333301.975 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1539333301.975 * [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))))))) 1539333301.975 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333301.977 * * [misc]simplify: iters left: 6 (17 enodes) 1539333301.985 * * [misc]simplify: iters left: 5 (26 enodes) 1539333301.991 * * [misc]simplify: iters left: 4 (33 enodes) 1539333301.996 * * [misc]simplify: iters left: 3 (39 enodes) 1539333302.003 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333302.003 * [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))))))) 1539333302.003 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1539333302.003 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (sqrt k)) 1539333302.004 * * [misc]simplify: iters left: 6 (13 enodes) 1539333302.007 * * [misc]simplify: iters left: 5 (19 enodes) 1539333302.011 * * [misc]simplify: iters left: 4 (23 enodes) 1539333302.016 * * [misc]simplify: iters left: 3 (27 enodes) 1539333302.020 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333302.020 * [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))))))) 1539333302.020 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1539333302.022 * * [misc]simplify: iters left: 6 (16 enodes) 1539333302.029 * * [misc]simplify: iters left: 5 (25 enodes) 1539333302.038 * * [misc]simplify: iters left: 4 (32 enodes) 1539333302.050 * * [misc]simplify: iters left: 3 (45 enodes) 1539333302.059 * * [misc]simplify: iters left: 2 (47 enodes) 1539333302.064 * * [misc]simplify: iters left: 1 (52 enodes) 1539333302.071 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1539333302.071 * [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))))))) 1539333302.071 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1539333302.072 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1539333302.073 * * [misc]simplify: iters left: 6 (17 enodes) 1539333302.077 * * [misc]simplify: iters left: 5 (27 enodes) 1539333302.081 * * [misc]simplify: iters left: 4 (34 enodes) 1539333302.090 * * [misc]simplify: iters left: 3 (40 enodes) 1539333302.102 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1539333302.102 * [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))))) 1539333302.103 * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (pow (* n 2) (/ k 2))) 1539333302.104 * * [misc]simplify: iters left: 6 (15 enodes) 1539333302.111 * * [misc]simplify: iters left: 5 (22 enodes) 1539333302.120 * * [misc]simplify: iters left: 4 (26 enodes) 1539333302.129 * * [misc]simplify: iters left: 3 (30 enodes) 1539333302.138 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1539333302.138 * [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))))) 1539333302.138 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1539333302.138 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333302.139 * * [misc]simplify: iters left: 6 (14 enodes) 1539333302.142 * * [misc]simplify: iters left: 5 (21 enodes) 1539333302.146 * * [misc]simplify: iters left: 4 (24 enodes) 1539333302.150 * [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)))))) 1539333302.150 * [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)))))))) 1539333302.150 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.151 * * [misc]simplify: iters left: 6 (17 enodes) 1539333302.155 * * [misc]simplify: iters left: 5 (26 enodes) 1539333302.160 * * [misc]simplify: iters left: 4 (33 enodes) 1539333302.166 * * [misc]simplify: iters left: 3 (45 enodes) 1539333302.176 * * [misc]simplify: iters left: 2 (70 enodes) 1539333302.203 * * [misc]simplify: iters left: 1 (91 enodes) 1539333302.233 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.233 * [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)))))))) 1539333302.233 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1539333302.233 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.234 * * [misc]simplify: iters left: 6 (13 enodes) 1539333302.236 * * [misc]simplify: iters left: 5 (18 enodes) 1539333302.239 * * [misc]simplify: iters left: 4 (21 enodes) 1539333302.243 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.243 * [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)))))))) 1539333302.243 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.244 * * [misc]simplify: iters left: 6 (17 enodes) 1539333302.249 * * [misc]simplify: iters left: 5 (26 enodes) 1539333302.254 * * [misc]simplify: iters left: 4 (33 enodes) 1539333302.267 * * [misc]simplify: iters left: 3 (45 enodes) 1539333302.284 * * [misc]simplify: iters left: 2 (70 enodes) 1539333302.299 * * [misc]simplify: iters left: 1 (91 enodes) 1539333302.330 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333302.330 * [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)))))))) 1539333302.330 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1539333302.330 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333302.331 * * [misc]simplify: iters left: 6 (12 enodes) 1539333302.336 * * [misc]simplify: iters left: 5 (20 enodes) 1539333302.344 * * [misc]simplify: iters left: 4 (27 enodes) 1539333302.353 * * [misc]simplify: iters left: 3 (37 enodes) 1539333302.371 * * [misc]simplify: iters left: 2 (64 enodes) 1539333302.398 * * [misc]simplify: iters left: 1 (93 enodes) 1539333302.435 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333302.435 * [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))))))) 1539333302.435 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333302.438 * * [misc]simplify: iters left: 6 (18 enodes) 1539333302.443 * * [misc]simplify: iters left: 5 (30 enodes) 1539333302.449 * * [misc]simplify: iters left: 4 (41 enodes) 1539333302.459 * * [misc]simplify: iters left: 3 (76 enodes) 1539333302.482 * * [misc]simplify: iters left: 2 (142 enodes) 1539333302.583 * * [misc]simplify: iters left: 1 (391 enodes) 1539333302.984 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333302.984 * [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))))))) 1539333302.985 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1539333302.985 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333302.986 * * [misc]simplify: iters left: 6 (12 enodes) 1539333302.992 * * [misc]simplify: iters left: 5 (20 enodes) 1539333302.999 * * [misc]simplify: iters left: 4 (27 enodes) 1539333303.009 * * [misc]simplify: iters left: 3 (37 enodes) 1539333303.022 * * [misc]simplify: iters left: 2 (64 enodes) 1539333303.038 * * [misc]simplify: iters left: 1 (93 enodes) 1539333303.077 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333303.077 * [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))))))) 1539333303.077 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333303.079 * * [misc]simplify: iters left: 6 (18 enodes) 1539333303.087 * * [misc]simplify: iters left: 5 (30 enodes) 1539333303.098 * * [misc]simplify: iters left: 4 (41 enodes) 1539333303.109 * * [misc]simplify: iters left: 3 (76 enodes) 1539333303.130 * * [misc]simplify: iters left: 2 (142 enodes) 1539333303.234 * * [misc]simplify: iters left: 1 (391 enodes) 1539333303.566 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333303.566 * [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))))))) 1539333303.567 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1539333303.567 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1539333303.568 * * [misc]simplify: iters left: 6 (13 enodes) 1539333303.573 * * [misc]simplify: iters left: 5 (21 enodes) 1539333303.581 * * [misc]simplify: iters left: 4 (31 enodes) 1539333303.587 * * [misc]simplify: iters left: 3 (51 enodes) 1539333303.600 * * [misc]simplify: iters left: 2 (90 enodes) 1539333303.635 * * [misc]simplify: iters left: 1 (181 enodes) 1539333303.735 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333303.735 * [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))))))) 1539333303.735 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333303.737 * * [misc]simplify: iters left: 6 (15 enodes) 1539333303.744 * * [misc]simplify: iters left: 5 (25 enodes) 1539333303.753 * * [misc]simplify: iters left: 4 (38 enodes) 1539333303.772 * * [misc]simplify: iters left: 3 (73 enodes) 1539333303.807 * * [misc]simplify: iters left: 2 (139 enodes) 1539333303.897 * * [misc]simplify: iters left: 1 (375 enodes) 1539333304.206 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1539333304.206 * [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)))))) 1539333304.206 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1539333304.206 * [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))))))) 1539333304.207 * * [misc]simplify: iters left: 6 (16 enodes) 1539333304.211 * * [misc]simplify: iters left: 5 (29 enodes) 1539333304.217 * * [misc]simplify: iters left: 4 (50 enodes) 1539333304.234 * * [misc]simplify: iters left: 3 (70 enodes) 1539333304.263 * * [misc]simplify: iters left: 2 (169 enodes) 1539333304.426 * [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)))) 1539333304.426 * [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)))))))) 1539333304.427 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333304.428 * * [misc]simplify: iters left: 6 (18 enodes) 1539333304.432 * * [misc]simplify: iters left: 5 (29 enodes) 1539333304.438 * * [misc]simplify: iters left: 4 (42 enodes) 1539333304.448 * * [misc]simplify: iters left: 3 (77 enodes) 1539333304.468 * * [misc]simplify: iters left: 2 (143 enodes) 1539333304.556 * * [misc]simplify: iters left: 1 (394 enodes) 1539333304.840 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1539333304.840 * [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)))))) 1539333304.840 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1539333304.841 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333304.842 * * [misc]simplify: iters left: 6 (15 enodes) 1539333304.848 * * [misc]simplify: iters left: 5 (24 enodes) 1539333304.852 * * [misc]simplify: iters left: 4 (34 enodes) 1539333304.859 * * [misc]simplify: iters left: 3 (54 enodes) 1539333304.872 * * [misc]simplify: iters left: 2 (93 enodes) 1539333304.894 * * [misc]simplify: iters left: 1 (182 enodes) 1539333304.973 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333304.973 * [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)))))))) 1539333304.974 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333304.975 * * [misc]simplify: iters left: 6 (18 enodes) 1539333304.983 * * [misc]simplify: iters left: 5 (29 enodes) 1539333304.994 * * [misc]simplify: iters left: 4 (42 enodes) 1539333305.018 * * [misc]simplify: iters left: 3 (77 enodes) 1539333305.056 * * [misc]simplify: iters left: 2 (143 enodes) 1539333305.198 * * [misc]simplify: iters left: 1 (394 enodes) 1539333305.529 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1539333305.529 * [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)))))) 1539333305.529 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1539333305.529 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1539333305.530 * * [misc]simplify: iters left: 6 (7 enodes) 1539333305.533 * * [misc]simplify: iters left: 5 (13 enodes) 1539333305.540 * * [misc]simplify: iters left: 4 (22 enodes) 1539333305.546 * * [misc]simplify: iters left: 3 (24 enodes) 1539333305.551 * * [misc]simplify: iters left: 2 (29 enodes) 1539333305.559 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1539333305.559 * [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))))))) 1539333305.559 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333305.560 * * [misc]simplify: iters left: 6 (17 enodes) 1539333305.565 * * [misc]simplify: iters left: 5 (28 enodes) 1539333305.572 * * [misc]simplify: iters left: 4 (41 enodes) 1539333305.582 * * [misc]simplify: iters left: 3 (76 enodes) 1539333305.610 * * [misc]simplify: iters left: 2 (142 enodes) 1539333305.695 * * [misc]simplify: iters left: 1 (380 enodes) 1539333306.064 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333306.064 * [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))))))) 1539333306.064 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1539333306.064 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333306.065 * * [misc]simplify: iters left: 6 (11 enodes) 1539333306.067 * * [misc]simplify: iters left: 5 (17 enodes) 1539333306.069 * * [misc]simplify: iters left: 4 (20 enodes) 1539333306.072 * * [misc]simplify: iters left: 3 (22 enodes) 1539333306.077 * * [misc]simplify: iters left: 2 (34 enodes) 1539333306.085 * * [misc]simplify: iters left: 1 (42 enodes) 1539333306.096 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333306.096 * [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))))))) 1539333306.096 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333306.098 * * [misc]simplify: iters left: 6 (18 enodes) 1539333306.110 * * [misc]simplify: iters left: 5 (30 enodes) 1539333306.121 * * [misc]simplify: iters left: 4 (41 enodes) 1539333306.134 * * [misc]simplify: iters left: 3 (76 enodes) 1539333306.155 * * [misc]simplify: iters left: 2 (142 enodes) 1539333306.255 * * [misc]simplify: iters left: 1 (391 enodes) 1539333307.030 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333307.030 * [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))))))) 1539333307.030 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1539333307.030 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333307.031 * * [misc]simplify: iters left: 6 (11 enodes) 1539333307.034 * * [misc]simplify: iters left: 5 (17 enodes) 1539333307.040 * * [misc]simplify: iters left: 4 (20 enodes) 1539333307.046 * * [misc]simplify: iters left: 3 (22 enodes) 1539333307.053 * * [misc]simplify: iters left: 2 (34 enodes) 1539333307.059 * * [misc]simplify: iters left: 1 (42 enodes) 1539333307.064 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333307.064 * [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))))))) 1539333307.064 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333307.065 * * [misc]simplify: iters left: 6 (18 enodes) 1539333307.070 * * [misc]simplify: iters left: 5 (30 enodes) 1539333307.078 * * [misc]simplify: iters left: 4 (41 enodes) 1539333307.095 * * [misc]simplify: iters left: 3 (76 enodes) 1539333307.118 * * [misc]simplify: iters left: 2 (142 enodes) 1539333307.211 * * [misc]simplify: iters left: 1 (391 enodes) 1539333307.573 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333307.573 * [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))))))) 1539333307.573 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1539333307.573 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1539333307.575 * * [misc]simplify: iters left: 6 (12 enodes) 1539333307.579 * * [misc]simplify: iters left: 5 (18 enodes) 1539333307.582 * * [misc]simplify: iters left: 4 (24 enodes) 1539333307.586 * * [misc]simplify: iters left: 3 (32 enodes) 1539333307.592 * * [misc]simplify: iters left: 2 (41 enodes) 1539333307.599 * * [misc]simplify: iters left: 1 (51 enodes) 1539333307.606 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333307.606 * [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))))))) 1539333307.606 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333307.607 * * [misc]simplify: iters left: 6 (15 enodes) 1539333307.614 * * [misc]simplify: iters left: 5 (25 enodes) 1539333307.624 * * [misc]simplify: iters left: 4 (38 enodes) 1539333307.645 * * [misc]simplify: iters left: 3 (73 enodes) 1539333307.682 * * [misc]simplify: iters left: 2 (139 enodes) 1539333307.793 * * [misc]simplify: iters left: 1 (375 enodes) 1539333308.020 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1539333308.020 * [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)))))) 1539333308.020 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1539333308.020 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333308.021 * * [misc]simplify: iters left: 6 (15 enodes) 1539333308.024 * * [misc]simplify: iters left: 5 (24 enodes) 1539333308.028 * * [misc]simplify: iters left: 4 (32 enodes) 1539333308.037 * * [misc]simplify: iters left: 3 (43 enodes) 1539333308.058 * * [misc]simplify: iters left: 2 (69 enodes) 1539333308.090 * * [misc]simplify: iters left: 1 (119 enodes) 1539333308.166 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333308.166 * [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)))))))) 1539333308.166 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333308.168 * * [misc]simplify: iters left: 6 (18 enodes) 1539333308.178 * * [misc]simplify: iters left: 5 (29 enodes) 1539333308.187 * * [misc]simplify: iters left: 4 (42 enodes) 1539333308.197 * * [misc]simplify: iters left: 3 (77 enodes) 1539333308.217 * * [misc]simplify: iters left: 2 (143 enodes) 1539333308.305 * * [misc]simplify: iters left: 1 (394 enodes) 1539333308.607 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1539333308.607 * [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)))))) 1539333308.607 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1539333308.607 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333308.608 * * [misc]simplify: iters left: 6 (14 enodes) 1539333308.611 * * [misc]simplify: iters left: 5 (21 enodes) 1539333308.616 * * [misc]simplify: iters left: 4 (27 enodes) 1539333308.621 * * [misc]simplify: iters left: 3 (35 enodes) 1539333308.627 * * [misc]simplify: iters left: 2 (43 enodes) 1539333308.633 * * [misc]simplify: iters left: 1 (56 enodes) 1539333308.644 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333308.645 * [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)))))))) 1539333308.645 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333308.646 * * [misc]simplify: iters left: 6 (18 enodes) 1539333308.655 * * [misc]simplify: iters left: 5 (29 enodes) 1539333308.665 * * [misc]simplify: iters left: 4 (42 enodes) 1539333308.679 * * [misc]simplify: iters left: 3 (77 enodes) 1539333308.700 * * [misc]simplify: iters left: 2 (143 enodes) 1539333308.794 * * [misc]simplify: iters left: 1 (394 enodes) 1539333309.138 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1539333309.138 * [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)))))) 1539333309.138 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1539333309.138 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1539333309.139 * * [misc]simplify: iters left: 6 (6 enodes) 1539333309.140 * * [misc]simplify: iters left: 5 (10 enodes) 1539333309.143 * * [misc]simplify: iters left: 4 (16 enodes) 1539333309.144 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1539333309.144 * [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))))))) 1539333309.145 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333309.146 * * [misc]simplify: iters left: 6 (17 enodes) 1539333309.150 * * [misc]simplify: iters left: 5 (28 enodes) 1539333309.155 * * [misc]simplify: iters left: 4 (41 enodes) 1539333309.165 * * [misc]simplify: iters left: 3 (76 enodes) 1539333309.196 * * [misc]simplify: iters left: 2 (142 enodes) 1539333309.311 * * [misc]simplify: iters left: 1 (380 enodes) 1539333309.706 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333309.706 * [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))))))) 1539333309.706 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1539333309.706 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1539333309.707 * * [misc]simplify: iters left: 6 (8 enodes) 1539333309.711 * * [misc]simplify: iters left: 5 (14 enodes) 1539333309.715 * * [misc]simplify: iters left: 4 (15 enodes) 1539333309.720 * * [misc]simplify: iters left: 3 (19 enodes) 1539333309.724 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539333309.724 * [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))))))) 1539333309.724 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333309.726 * * [misc]simplify: iters left: 6 (17 enodes) 1539333309.730 * * [misc]simplify: iters left: 5 (29 enodes) 1539333309.735 * * [misc]simplify: iters left: 4 (40 enodes) 1539333309.745 * * [misc]simplify: iters left: 3 (75 enodes) 1539333309.782 * * [misc]simplify: iters left: 2 (141 enodes) 1539333309.923 * * [misc]simplify: iters left: 1 (379 enodes) 1539333310.276 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333310.276 * [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)))) 1539333310.276 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1539333310.276 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1539333310.277 * * [misc]simplify: iters left: 6 (8 enodes) 1539333310.282 * * [misc]simplify: iters left: 5 (14 enodes) 1539333310.285 * * [misc]simplify: iters left: 4 (15 enodes) 1539333310.291 * * [misc]simplify: iters left: 3 (19 enodes) 1539333310.296 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539333310.296 * [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))))))) 1539333310.297 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333310.298 * * [misc]simplify: iters left: 6 (17 enodes) 1539333310.307 * * [misc]simplify: iters left: 5 (29 enodes) 1539333310.317 * * [misc]simplify: iters left: 4 (40 enodes) 1539333310.336 * * [misc]simplify: iters left: 3 (75 enodes) 1539333310.367 * * [misc]simplify: iters left: 2 (141 enodes) 1539333310.459 * * [misc]simplify: iters left: 1 (379 enodes) 1539333310.849 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333310.849 * [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)))) 1539333310.849 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1539333310.850 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1539333310.851 * * [misc]simplify: iters left: 6 (10 enodes) 1539333310.854 * * [misc]simplify: iters left: 5 (16 enodes) 1539333310.856 * * [misc]simplify: iters left: 4 (20 enodes) 1539333310.860 * * [misc]simplify: iters left: 3 (24 enodes) 1539333310.863 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1539333310.863 * [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))))))) 1539333310.863 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333310.864 * * [misc]simplify: iters left: 6 (14 enodes) 1539333310.867 * * [misc]simplify: iters left: 5 (24 enodes) 1539333310.872 * * [misc]simplify: iters left: 4 (37 enodes) 1539333310.882 * * [misc]simplify: iters left: 3 (72 enodes) 1539333310.904 * * [misc]simplify: iters left: 2 (138 enodes) 1539333311.027 * * [misc]simplify: iters left: 1 (391 enodes) 1539333311.379 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1539333311.379 * [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)))) 1539333311.379 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1539333311.379 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333311.381 * * [misc]simplify: iters left: 6 (13 enodes) 1539333311.386 * * [misc]simplify: iters left: 5 (22 enodes) 1539333311.389 * * [misc]simplify: iters left: 4 (26 enodes) 1539333311.393 * * [misc]simplify: iters left: 3 (32 enodes) 1539333311.398 * * [misc]simplify: iters left: 2 (34 enodes) 1539333311.402 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333311.402 * [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)))))))) 1539333311.402 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333311.403 * * [misc]simplify: iters left: 6 (17 enodes) 1539333311.410 * * [misc]simplify: iters left: 5 (28 enodes) 1539333311.418 * * [misc]simplify: iters left: 4 (41 enodes) 1539333311.436 * * [misc]simplify: iters left: 3 (76 enodes) 1539333311.457 * * [misc]simplify: iters left: 2 (142 enodes) 1539333311.583 * * [misc]simplify: iters left: 1 (382 enodes) 1539333311.997 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1539333311.997 * [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))))))) 1539333311.997 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1539333311.998 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333311.999 * * [misc]simplify: iters left: 6 (12 enodes) 1539333312.004 * * [misc]simplify: iters left: 5 (19 enodes) 1539333312.010 * * [misc]simplify: iters left: 4 (23 enodes) 1539333312.017 * * [misc]simplify: iters left: 3 (27 enodes) 1539333312.023 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333312.023 * [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)))))))) 1539333312.023 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333312.025 * * [misc]simplify: iters left: 6 (17 enodes) 1539333312.030 * * [misc]simplify: iters left: 5 (28 enodes) 1539333312.036 * * [misc]simplify: iters left: 4 (41 enodes) 1539333312.046 * * [misc]simplify: iters left: 3 (76 enodes) 1539333312.067 * * [misc]simplify: iters left: 2 (142 enodes) 1539333312.138 * * [misc]simplify: iters left: 1 (382 enodes) 1539333312.578 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1539333312.578 * [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))))))) 1539333312.578 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1539333312.578 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1539333312.579 * * [misc]simplify: iters left: 4 (3 enodes) 1539333312.580 * * [misc]simplify: iters left: 3 (5 enodes) 1539333312.581 * [exit]simplify: Simplified to 1 1539333312.581 * [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))))))) 1539333312.581 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333312.583 * * [misc]simplify: iters left: 6 (16 enodes) 1539333312.591 * * [misc]simplify: iters left: 5 (27 enodes) 1539333312.601 * * [misc]simplify: iters left: 4 (40 enodes) 1539333312.620 * * [misc]simplify: iters left: 3 (75 enodes) 1539333312.659 * * [misc]simplify: iters left: 2 (141 enodes) 1539333312.767 * * [misc]simplify: iters left: 1 (376 enodes) 1539333313.121 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333313.121 * [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)))))) 1539333313.121 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1539333313.121 * [enter]simplify: Simplifying (/ 1 1) 1539333313.121 * * [misc]simplify: iters left: 2 (2 enodes) 1539333313.122 * * [misc]simplify: iters left: 1 (4 enodes) 1539333313.122 * [exit]simplify: Simplified to 1 1539333313.122 * [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))))))) 1539333313.122 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333313.123 * * [misc]simplify: iters left: 6 (16 enodes) 1539333313.127 * * [misc]simplify: iters left: 5 (27 enodes) 1539333313.133 * * [misc]simplify: iters left: 4 (40 enodes) 1539333313.143 * * [misc]simplify: iters left: 3 (75 enodes) 1539333313.183 * * [misc]simplify: iters left: 2 (141 enodes) 1539333313.258 * * [misc]simplify: iters left: 1 (376 enodes) 1539333313.643 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333313.643 * [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)))))) 1539333313.643 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1539333313.643 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1539333313.644 * * [misc]simplify: iters left: 3 (4 enodes) 1539333313.645 * * [misc]simplify: iters left: 2 (6 enodes) 1539333313.645 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1539333313.645 * [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))))))) 1539333313.646 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1539333313.646 * * [misc]simplify: iters left: 6 (15 enodes) 1539333313.652 * * [misc]simplify: iters left: 5 (26 enodes) 1539333313.657 * * [misc]simplify: iters left: 4 (35 enodes) 1539333313.665 * * [misc]simplify: iters left: 3 (61 enodes) 1539333313.680 * * [misc]simplify: iters left: 2 (82 enodes) 1539333313.693 * * [misc]simplify: iters left: 1 (85 enodes) 1539333313.705 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1539333313.705 * [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)))))) 1539333313.705 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1539333313.706 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1539333313.707 * * [misc]simplify: iters left: 6 (10 enodes) 1539333313.711 * * [misc]simplify: iters left: 5 (16 enodes) 1539333313.716 * * [misc]simplify: iters left: 4 (19 enodes) 1539333313.721 * * [misc]simplify: iters left: 3 (21 enodes) 1539333313.730 * * [misc]simplify: iters left: 2 (33 enodes) 1539333313.743 * * [misc]simplify: iters left: 1 (41 enodes) 1539333313.754 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1539333313.754 * [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))))) 1539333313.755 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1539333313.756 * * [misc]simplify: iters left: 6 (14 enodes) 1539333313.763 * * [misc]simplify: iters left: 5 (23 enodes) 1539333313.769 * * [misc]simplify: iters left: 4 (30 enodes) 1539333313.775 * * [misc]simplify: iters left: 3 (42 enodes) 1539333313.784 * * [misc]simplify: iters left: 2 (67 enodes) 1539333313.798 * * [misc]simplify: iters left: 1 (88 enodes) 1539333313.814 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1539333313.814 * [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))))) 1539333313.814 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1539333313.815 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333313.815 * * [misc]simplify: iters left: 6 (14 enodes) 1539333313.818 * * [misc]simplify: iters left: 5 (21 enodes) 1539333313.821 * * [misc]simplify: iters left: 4 (24 enodes) 1539333313.827 * [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)))))) 1539333313.828 * [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)))))))) 1539333313.828 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333313.830 * * [misc]simplify: iters left: 6 (17 enodes) 1539333313.837 * * [misc]simplify: iters left: 5 (26 enodes) 1539333313.846 * * [misc]simplify: iters left: 4 (33 enodes) 1539333313.859 * * [misc]simplify: iters left: 3 (45 enodes) 1539333313.876 * * [misc]simplify: iters left: 2 (70 enodes) 1539333313.906 * * [misc]simplify: iters left: 1 (91 enodes) 1539333313.942 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333313.942 * [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)))))))) 1539333313.942 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1539333313.943 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333313.944 * * [misc]simplify: iters left: 6 (13 enodes) 1539333313.949 * * [misc]simplify: iters left: 5 (18 enodes) 1539333313.955 * * [misc]simplify: iters left: 4 (21 enodes) 1539333313.964 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333313.964 * [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)))))))) 1539333313.964 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333313.966 * * [misc]simplify: iters left: 6 (17 enodes) 1539333313.973 * * [misc]simplify: iters left: 5 (26 enodes) 1539333313.982 * * [misc]simplify: iters left: 4 (33 enodes) 1539333313.993 * * [misc]simplify: iters left: 3 (45 enodes) 1539333314.011 * * [misc]simplify: iters left: 2 (70 enodes) 1539333314.040 * * [misc]simplify: iters left: 1 (91 enodes) 1539333314.077 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333314.077 * [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)))))))) 1539333314.078 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1539333314.078 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333314.079 * * [misc]simplify: iters left: 6 (12 enodes) 1539333314.084 * * [misc]simplify: iters left: 5 (20 enodes) 1539333314.090 * * [misc]simplify: iters left: 4 (27 enodes) 1539333314.099 * * [misc]simplify: iters left: 3 (37 enodes) 1539333314.109 * * [misc]simplify: iters left: 2 (64 enodes) 1539333314.124 * * [misc]simplify: iters left: 1 (93 enodes) 1539333314.169 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333314.169 * [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))))))) 1539333314.169 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333314.171 * * [misc]simplify: iters left: 6 (18 enodes) 1539333314.179 * * [misc]simplify: iters left: 5 (30 enodes) 1539333314.184 * * [misc]simplify: iters left: 4 (41 enodes) 1539333314.196 * * [misc]simplify: iters left: 3 (76 enodes) 1539333314.221 * * [misc]simplify: iters left: 2 (142 enodes) 1539333314.337 * * [misc]simplify: iters left: 1 (391 enodes) 1539333314.725 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333314.725 * [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))))))) 1539333314.725 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1539333314.725 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333314.726 * * [misc]simplify: iters left: 6 (12 enodes) 1539333314.731 * * [misc]simplify: iters left: 5 (20 enodes) 1539333314.738 * * [misc]simplify: iters left: 4 (27 enodes) 1539333314.748 * * [misc]simplify: iters left: 3 (37 enodes) 1539333314.766 * * [misc]simplify: iters left: 2 (64 enodes) 1539333314.794 * * [misc]simplify: iters left: 1 (93 enodes) 1539333314.845 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333314.845 * [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))))))) 1539333314.846 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333314.847 * * [misc]simplify: iters left: 6 (18 enodes) 1539333314.857 * * [misc]simplify: iters left: 5 (30 enodes) 1539333314.867 * * [misc]simplify: iters left: 4 (41 enodes) 1539333314.886 * * [misc]simplify: iters left: 3 (76 enodes) 1539333314.923 * * [misc]simplify: iters left: 2 (142 enodes) 1539333315.063 * * [misc]simplify: iters left: 1 (391 enodes) 1539333315.424 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333315.424 * [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))))))) 1539333315.425 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1539333315.425 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1539333315.426 * * [misc]simplify: iters left: 6 (13 enodes) 1539333315.428 * * [misc]simplify: iters left: 5 (21 enodes) 1539333315.433 * * [misc]simplify: iters left: 4 (31 enodes) 1539333315.446 * * [misc]simplify: iters left: 3 (51 enodes) 1539333315.474 * * [misc]simplify: iters left: 2 (90 enodes) 1539333315.501 * * [misc]simplify: iters left: 1 (181 enodes) 1539333315.568 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333315.568 * [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))))))) 1539333315.568 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333315.569 * * [misc]simplify: iters left: 6 (15 enodes) 1539333315.573 * * [misc]simplify: iters left: 5 (25 enodes) 1539333315.579 * * [misc]simplify: iters left: 4 (38 enodes) 1539333315.589 * * [misc]simplify: iters left: 3 (73 enodes) 1539333315.608 * * [misc]simplify: iters left: 2 (139 enodes) 1539333315.686 * * [misc]simplify: iters left: 1 (375 enodes) 1539333316.008 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1539333316.008 * [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)))))) 1539333316.008 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1539333316.009 * [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))))))) 1539333316.010 * * [misc]simplify: iters left: 6 (16 enodes) 1539333316.018 * * [misc]simplify: iters left: 5 (29 enodes) 1539333316.031 * * [misc]simplify: iters left: 4 (50 enodes) 1539333316.049 * * [misc]simplify: iters left: 3 (70 enodes) 1539333316.089 * * [misc]simplify: iters left: 2 (169 enodes) 1539333316.264 * [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)))) 1539333316.264 * [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)))))))) 1539333316.265 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333316.267 * * [misc]simplify: iters left: 6 (18 enodes) 1539333316.275 * * [misc]simplify: iters left: 5 (29 enodes) 1539333316.286 * * [misc]simplify: iters left: 4 (42 enodes) 1539333316.305 * * [misc]simplify: iters left: 3 (77 enodes) 1539333316.345 * * [misc]simplify: iters left: 2 (143 enodes) 1539333316.489 * * [misc]simplify: iters left: 1 (394 enodes) 1539333316.810 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1539333316.811 * [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)))))) 1539333316.811 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1539333316.811 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333316.813 * * [misc]simplify: iters left: 6 (15 enodes) 1539333316.819 * * [misc]simplify: iters left: 5 (24 enodes) 1539333316.827 * * [misc]simplify: iters left: 4 (34 enodes) 1539333316.841 * * [misc]simplify: iters left: 3 (54 enodes) 1539333316.862 * * [misc]simplify: iters left: 2 (93 enodes) 1539333316.887 * * [misc]simplify: iters left: 1 (182 enodes) 1539333316.953 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333316.953 * [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)))))))) 1539333316.953 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333316.955 * * [misc]simplify: iters left: 6 (18 enodes) 1539333316.959 * * [misc]simplify: iters left: 5 (29 enodes) 1539333316.964 * * [misc]simplify: iters left: 4 (42 enodes) 1539333316.974 * * [misc]simplify: iters left: 3 (77 enodes) 1539333316.995 * * [misc]simplify: iters left: 2 (143 enodes) 1539333317.091 * * [misc]simplify: iters left: 1 (394 enodes) 1539333317.397 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1539333317.397 * [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)))))) 1539333317.397 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1539333317.397 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1539333317.398 * * [misc]simplify: iters left: 6 (7 enodes) 1539333317.402 * * [misc]simplify: iters left: 5 (13 enodes) 1539333317.408 * * [misc]simplify: iters left: 4 (22 enodes) 1539333317.414 * * [misc]simplify: iters left: 3 (24 enodes) 1539333317.419 * * [misc]simplify: iters left: 2 (29 enodes) 1539333317.427 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1539333317.428 * [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))))))) 1539333317.428 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333317.430 * * [misc]simplify: iters left: 6 (17 enodes) 1539333317.437 * * [misc]simplify: iters left: 5 (28 enodes) 1539333317.442 * * [misc]simplify: iters left: 4 (41 enodes) 1539333317.452 * * [misc]simplify: iters left: 3 (76 enodes) 1539333317.471 * * [misc]simplify: iters left: 2 (142 enodes) 1539333317.548 * * [misc]simplify: iters left: 1 (380 enodes) 1539333317.885 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333317.885 * [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))))))) 1539333317.885 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1539333317.885 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333317.886 * * [misc]simplify: iters left: 6 (11 enodes) 1539333317.891 * * [misc]simplify: iters left: 5 (17 enodes) 1539333317.896 * * [misc]simplify: iters left: 4 (20 enodes) 1539333317.902 * * [misc]simplify: iters left: 3 (22 enodes) 1539333317.914 * * [misc]simplify: iters left: 2 (34 enodes) 1539333317.925 * * [misc]simplify: iters left: 1 (42 enodes) 1539333317.936 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333317.936 * [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))))))) 1539333317.937 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333317.938 * * [misc]simplify: iters left: 6 (18 enodes) 1539333317.947 * * [misc]simplify: iters left: 5 (30 enodes) 1539333317.957 * * [misc]simplify: iters left: 4 (41 enodes) 1539333317.977 * * [misc]simplify: iters left: 3 (76 enodes) 1539333318.015 * * [misc]simplify: iters left: 2 (142 enodes) 1539333318.134 * * [misc]simplify: iters left: 1 (391 enodes) 1539333318.491 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333318.491 * [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))))))) 1539333318.491 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1539333318.491 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333318.492 * * [misc]simplify: iters left: 6 (11 enodes) 1539333318.494 * * [misc]simplify: iters left: 5 (17 enodes) 1539333318.497 * * [misc]simplify: iters left: 4 (20 enodes) 1539333318.500 * * [misc]simplify: iters left: 3 (22 enodes) 1539333318.504 * * [misc]simplify: iters left: 2 (34 enodes) 1539333318.511 * * [misc]simplify: iters left: 1 (42 enodes) 1539333318.517 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333318.517 * [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))))))) 1539333318.517 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333318.518 * * [misc]simplify: iters left: 6 (18 enodes) 1539333318.525 * * [misc]simplify: iters left: 5 (30 enodes) 1539333318.532 * * [misc]simplify: iters left: 4 (41 enodes) 1539333318.552 * * [misc]simplify: iters left: 3 (76 enodes) 1539333318.582 * * [misc]simplify: iters left: 2 (142 enodes) 1539333318.677 * * [misc]simplify: iters left: 1 (391 enodes) 1539333319.159 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333319.159 * [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))))))) 1539333319.159 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1539333319.160 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1539333319.161 * * [misc]simplify: iters left: 6 (12 enodes) 1539333319.166 * * [misc]simplify: iters left: 5 (18 enodes) 1539333319.172 * * [misc]simplify: iters left: 4 (24 enodes) 1539333319.180 * * [misc]simplify: iters left: 3 (32 enodes) 1539333319.191 * * [misc]simplify: iters left: 2 (41 enodes) 1539333319.203 * * [misc]simplify: iters left: 1 (51 enodes) 1539333319.219 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333319.219 * [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))))))) 1539333319.219 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333319.224 * * [misc]simplify: iters left: 6 (15 enodes) 1539333319.231 * * [misc]simplify: iters left: 5 (25 enodes) 1539333319.241 * * [misc]simplify: iters left: 4 (38 enodes) 1539333319.259 * * [misc]simplify: iters left: 3 (73 enodes) 1539333319.296 * * [misc]simplify: iters left: 2 (139 enodes) 1539333319.402 * * [misc]simplify: iters left: 1 (375 enodes) 1539333319.684 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1539333319.684 * [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)))))) 1539333319.684 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1539333319.685 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333319.686 * * [misc]simplify: iters left: 6 (15 enodes) 1539333319.692 * * [misc]simplify: iters left: 5 (24 enodes) 1539333319.701 * * [misc]simplify: iters left: 4 (32 enodes) 1539333319.712 * * [misc]simplify: iters left: 3 (43 enodes) 1539333319.727 * * [misc]simplify: iters left: 2 (69 enodes) 1539333319.744 * * [misc]simplify: iters left: 1 (119 enodes) 1539333319.784 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333319.784 * [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)))))))) 1539333319.784 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333319.785 * * [misc]simplify: iters left: 6 (18 enodes) 1539333319.789 * * [misc]simplify: iters left: 5 (29 enodes) 1539333319.795 * * [misc]simplify: iters left: 4 (42 enodes) 1539333319.809 * * [misc]simplify: iters left: 3 (77 enodes) 1539333319.847 * * [misc]simplify: iters left: 2 (143 enodes) 1539333319.941 * * [misc]simplify: iters left: 1 (394 enodes) 1539333320.170 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1539333320.170 * [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)))))) 1539333320.170 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1539333320.170 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333320.171 * * [misc]simplify: iters left: 6 (14 enodes) 1539333320.173 * * [misc]simplify: iters left: 5 (21 enodes) 1539333320.177 * * [misc]simplify: iters left: 4 (27 enodes) 1539333320.181 * * [misc]simplify: iters left: 3 (35 enodes) 1539333320.187 * * [misc]simplify: iters left: 2 (43 enodes) 1539333320.194 * * [misc]simplify: iters left: 1 (56 enodes) 1539333320.204 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333320.204 * [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)))))))) 1539333320.204 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333320.205 * * [misc]simplify: iters left: 6 (18 enodes) 1539333320.209 * * [misc]simplify: iters left: 5 (29 enodes) 1539333320.215 * * [misc]simplify: iters left: 4 (42 enodes) 1539333320.226 * * [misc]simplify: iters left: 3 (77 enodes) 1539333320.256 * * [misc]simplify: iters left: 2 (143 enodes) 1539333320.331 * * [misc]simplify: iters left: 1 (394 enodes) 1539333320.600 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1539333320.600 * [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)))))) 1539333320.600 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1539333320.600 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1539333320.600 * * [misc]simplify: iters left: 6 (6 enodes) 1539333320.602 * * [misc]simplify: iters left: 5 (10 enodes) 1539333320.604 * * [misc]simplify: iters left: 4 (16 enodes) 1539333320.606 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1539333320.606 * [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))))))) 1539333320.607 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333320.607 * * [misc]simplify: iters left: 6 (17 enodes) 1539333320.612 * * [misc]simplify: iters left: 5 (28 enodes) 1539333320.618 * * [misc]simplify: iters left: 4 (41 enodes) 1539333320.638 * * [misc]simplify: iters left: 3 (76 enodes) 1539333320.680 * * [misc]simplify: iters left: 2 (142 enodes) 1539333320.817 * * [misc]simplify: iters left: 1 (380 enodes) 1539333321.121 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) 1539333321.121 * [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))))))) 1539333321.121 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1539333321.121 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1539333321.121 * * [misc]simplify: iters left: 6 (8 enodes) 1539333321.124 * * [misc]simplify: iters left: 5 (14 enodes) 1539333321.126 * * [misc]simplify: iters left: 4 (15 enodes) 1539333321.128 * * [misc]simplify: iters left: 3 (19 enodes) 1539333321.131 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539333321.131 * [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))))))) 1539333321.131 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333321.132 * * [misc]simplify: iters left: 6 (17 enodes) 1539333321.136 * * [misc]simplify: iters left: 5 (29 enodes) 1539333321.142 * * [misc]simplify: iters left: 4 (40 enodes) 1539333321.153 * * [misc]simplify: iters left: 3 (75 enodes) 1539333321.174 * * [misc]simplify: iters left: 2 (141 enodes) 1539333321.272 * * [misc]simplify: iters left: 1 (379 enodes) 1539333321.558 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333321.559 * [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)))) 1539333321.559 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1539333321.559 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1539333321.560 * * [misc]simplify: iters left: 6 (8 enodes) 1539333321.564 * * [misc]simplify: iters left: 5 (14 enodes) 1539333321.568 * * [misc]simplify: iters left: 4 (15 enodes) 1539333321.573 * * [misc]simplify: iters left: 3 (19 enodes) 1539333321.578 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1539333321.578 * [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))))))) 1539333321.578 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333321.580 * * [misc]simplify: iters left: 6 (17 enodes) 1539333321.588 * * [misc]simplify: iters left: 5 (29 enodes) 1539333321.597 * * [misc]simplify: iters left: 4 (40 enodes) 1539333321.607 * * [misc]simplify: iters left: 3 (75 enodes) 1539333321.629 * * [misc]simplify: iters left: 2 (141 enodes) 1539333321.709 * * [misc]simplify: iters left: 1 (379 enodes) 1539333322.028 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (/ (- k) 2)) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333322.028 * [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)))) 1539333322.028 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1539333322.029 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1539333322.029 * * [misc]simplify: iters left: 6 (10 enodes) 1539333322.032 * * [misc]simplify: iters left: 5 (16 enodes) 1539333322.034 * * [misc]simplify: iters left: 4 (20 enodes) 1539333322.038 * * [misc]simplify: iters left: 3 (24 enodes) 1539333322.043 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1539333322.043 * [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))))))) 1539333322.043 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333322.044 * * [misc]simplify: iters left: 6 (14 enodes) 1539333322.051 * * [misc]simplify: iters left: 5 (24 enodes) 1539333322.059 * * [misc]simplify: iters left: 4 (37 enodes) 1539333322.079 * * [misc]simplify: iters left: 3 (72 enodes) 1539333322.105 * * [misc]simplify: iters left: 2 (138 enodes) 1539333322.213 * * [misc]simplify: iters left: 1 (391 enodes) 1539333322.513 * [exit]simplify: Simplified to (/ (* (pow PI (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) 1539333322.514 * [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)))) 1539333322.514 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1539333322.514 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333322.517 * * [misc]simplify: iters left: 6 (13 enodes) 1539333322.520 * * [misc]simplify: iters left: 5 (22 enodes) 1539333322.524 * * [misc]simplify: iters left: 4 (26 enodes) 1539333322.529 * * [misc]simplify: iters left: 3 (32 enodes) 1539333322.533 * * [misc]simplify: iters left: 2 (34 enodes) 1539333322.537 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333322.537 * [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)))))))) 1539333322.538 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333322.538 * * [misc]simplify: iters left: 6 (17 enodes) 1539333322.543 * * [misc]simplify: iters left: 5 (28 enodes) 1539333322.549 * * [misc]simplify: iters left: 4 (41 enodes) 1539333322.568 * * [misc]simplify: iters left: 3 (76 enodes) 1539333322.588 * * [misc]simplify: iters left: 2 (142 enodes) 1539333322.712 * * [misc]simplify: iters left: 1 (382 enodes) 1539333323.166 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1539333323.166 * [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))))))) 1539333323.166 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1539333323.166 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333323.168 * * [misc]simplify: iters left: 6 (12 enodes) 1539333323.173 * * [misc]simplify: iters left: 5 (19 enodes) 1539333323.179 * * [misc]simplify: iters left: 4 (23 enodes) 1539333323.187 * * [misc]simplify: iters left: 3 (27 enodes) 1539333323.194 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333323.194 * [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)))))))) 1539333323.195 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333323.196 * * [misc]simplify: iters left: 6 (17 enodes) 1539333323.200 * * [misc]simplify: iters left: 5 (28 enodes) 1539333323.205 * * [misc]simplify: iters left: 4 (41 enodes) 1539333323.215 * * [misc]simplify: iters left: 3 (76 enodes) 1539333323.247 * * [misc]simplify: iters left: 2 (142 enodes) 1539333323.383 * * [misc]simplify: iters left: 1 (382 enodes) 1539333323.815 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1539333323.815 * [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))))))) 1539333323.815 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1539333323.815 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1539333323.816 * * [misc]simplify: iters left: 4 (3 enodes) 1539333323.816 * * [misc]simplify: iters left: 3 (5 enodes) 1539333323.817 * [exit]simplify: Simplified to 1 1539333323.817 * [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))))))) 1539333323.817 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333323.818 * * [misc]simplify: iters left: 6 (16 enodes) 1539333323.824 * * [misc]simplify: iters left: 5 (27 enodes) 1539333323.836 * * [misc]simplify: iters left: 4 (40 enodes) 1539333323.856 * * [misc]simplify: iters left: 3 (75 enodes) 1539333323.893 * * [misc]simplify: iters left: 2 (141 enodes) 1539333324.003 * * [misc]simplify: iters left: 1 (376 enodes) 1539333324.374 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333324.374 * [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)))))) 1539333324.374 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1539333324.374 * [enter]simplify: Simplifying (/ 1 1) 1539333324.374 * * [misc]simplify: iters left: 2 (2 enodes) 1539333324.375 * * [misc]simplify: iters left: 1 (4 enodes) 1539333324.375 * [exit]simplify: Simplified to 1 1539333324.375 * [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))))))) 1539333324.375 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333324.376 * * [misc]simplify: iters left: 6 (16 enodes) 1539333324.380 * * [misc]simplify: iters left: 5 (27 enodes) 1539333324.385 * * [misc]simplify: iters left: 4 (40 enodes) 1539333324.396 * * [misc]simplify: iters left: 3 (75 enodes) 1539333324.416 * * [misc]simplify: iters left: 2 (141 enodes) 1539333324.486 * * [misc]simplify: iters left: 1 (376 enodes) 1539333324.882 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1539333324.882 * [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)))))) 1539333324.883 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1539333324.883 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1539333324.883 * * [misc]simplify: iters left: 3 (4 enodes) 1539333324.885 * * [misc]simplify: iters left: 2 (6 enodes) 1539333324.886 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1539333324.886 * [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))))))) 1539333324.887 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1539333324.888 * * [misc]simplify: iters left: 6 (15 enodes) 1539333324.895 * * [misc]simplify: iters left: 5 (26 enodes) 1539333324.900 * * [misc]simplify: iters left: 4 (35 enodes) 1539333324.908 * * [misc]simplify: iters left: 3 (61 enodes) 1539333324.922 * * [misc]simplify: iters left: 2 (82 enodes) 1539333324.952 * * [misc]simplify: iters left: 1 (85 enodes) 1539333324.964 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1539333324.964 * [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)))))) 1539333324.964 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1539333324.964 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1539333324.965 * * [misc]simplify: iters left: 6 (10 enodes) 1539333324.967 * * [misc]simplify: iters left: 5 (16 enodes) 1539333324.969 * * [misc]simplify: iters left: 4 (19 enodes) 1539333324.972 * * [misc]simplify: iters left: 3 (21 enodes) 1539333324.976 * * [misc]simplify: iters left: 2 (33 enodes) 1539333324.982 * * [misc]simplify: iters left: 1 (41 enodes) 1539333324.990 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1539333324.990 * [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))))) 1539333324.991 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1539333324.992 * * [misc]simplify: iters left: 6 (14 enodes) 1539333324.995 * * [misc]simplify: iters left: 5 (23 enodes) 1539333324.999 * * [misc]simplify: iters left: 4 (30 enodes) 1539333325.005 * * [misc]simplify: iters left: 3 (42 enodes) 1539333325.014 * * [misc]simplify: iters left: 2 (67 enodes) 1539333325.036 * * [misc]simplify: iters left: 1 (88 enodes) 1539333325.053 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1539333325.053 * [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))))) 1539333325.053 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1539333325.054 * [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))))))) 1539333325.055 * * [misc]simplify: iters left: 6 (15 enodes) 1539333325.057 * * [misc]simplify: iters left: 5 (22 enodes) 1539333325.061 * * [misc]simplify: iters left: 4 (25 enodes) 1539333325.067 * [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))))))) 1539333325.067 * [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)))))))) 1539333325.067 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.069 * * [misc]simplify: iters left: 6 (14 enodes) 1539333325.074 * * [misc]simplify: iters left: 5 (17 enodes) 1539333325.079 * * [misc]simplify: iters left: 4 (20 enodes) 1539333325.086 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.086 * [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)))))))) 1539333325.086 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1539333325.087 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.088 * * [misc]simplify: iters left: 6 (14 enodes) 1539333325.092 * * [misc]simplify: iters left: 5 (19 enodes) 1539333325.095 * * [misc]simplify: iters left: 4 (22 enodes) 1539333325.099 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.099 * [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)))))))) 1539333325.099 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.100 * * [misc]simplify: iters left: 6 (14 enodes) 1539333325.102 * * [misc]simplify: iters left: 5 (17 enodes) 1539333325.105 * * [misc]simplify: iters left: 4 (20 enodes) 1539333325.108 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333325.108 * [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)))))))) 1539333325.108 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1539333325.109 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333325.111 * * [misc]simplify: iters left: 6 (13 enodes) 1539333325.113 * * [misc]simplify: iters left: 5 (21 enodes) 1539333325.117 * * [misc]simplify: iters left: 4 (28 enodes) 1539333325.123 * * [misc]simplify: iters left: 3 (36 enodes) 1539333325.140 * * [misc]simplify: iters left: 2 (62 enodes) 1539333325.155 * * [misc]simplify: iters left: 1 (94 enodes) 1539333325.185 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1539333325.185 * [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))))))) 1539333325.185 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333325.186 * * [misc]simplify: iters left: 6 (15 enodes) 1539333325.189 * * [misc]simplify: iters left: 5 (21 enodes) 1539333325.194 * * [misc]simplify: iters left: 4 (25 enodes) 1539333325.198 * * [misc]simplify: iters left: 3 (27 enodes) 1539333325.203 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333325.203 * [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)))))) 1539333325.203 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1539333325.203 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1539333325.204 * * [misc]simplify: iters left: 6 (13 enodes) 1539333325.207 * * [misc]simplify: iters left: 5 (21 enodes) 1539333325.210 * * [misc]simplify: iters left: 4 (28 enodes) 1539333325.215 * * [misc]simplify: iters left: 3 (36 enodes) 1539333325.224 * * [misc]simplify: iters left: 2 (62 enodes) 1539333325.237 * * [misc]simplify: iters left: 1 (94 enodes) 1539333325.276 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1539333325.276 * [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))))))) 1539333325.277 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333325.278 * * [misc]simplify: iters left: 6 (15 enodes) 1539333325.284 * * [misc]simplify: iters left: 5 (21 enodes) 1539333325.291 * * [misc]simplify: iters left: 4 (25 enodes) 1539333325.299 * * [misc]simplify: iters left: 3 (27 enodes) 1539333325.309 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333325.309 * [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)))))) 1539333325.309 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1539333325.310 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1539333325.311 * * [misc]simplify: iters left: 6 (14 enodes) 1539333325.317 * * [misc]simplify: iters left: 5 (22 enodes) 1539333325.325 * * [misc]simplify: iters left: 4 (32 enodes) 1539333325.333 * * [misc]simplify: iters left: 3 (55 enodes) 1539333325.346 * * [misc]simplify: iters left: 2 (97 enodes) 1539333325.388 * * [misc]simplify: iters left: 1 (209 enodes) 1539333325.479 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333325.479 * [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))))))) 1539333325.479 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333325.480 * * [misc]simplify: iters left: 6 (12 enodes) 1539333325.482 * * [misc]simplify: iters left: 5 (16 enodes) 1539333325.487 * * [misc]simplify: iters left: 4 (22 enodes) 1539333325.493 * * [misc]simplify: iters left: 3 (24 enodes) 1539333325.502 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1539333325.502 * [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)))))) 1539333325.502 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1539333325.502 * [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))))))) 1539333325.504 * * [misc]simplify: iters left: 6 (17 enodes) 1539333325.512 * * [misc]simplify: iters left: 5 (30 enodes) 1539333325.524 * * [misc]simplify: iters left: 4 (51 enodes) 1539333325.541 * * [misc]simplify: iters left: 3 (67 enodes) 1539333325.575 * * [misc]simplify: iters left: 2 (156 enodes) 1539333325.653 * * [misc]simplify: iters left: 1 (456 enodes) 1539333326.120 * [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)))) 1539333326.120 * [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)))))))) 1539333326.120 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.122 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.128 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.135 * * [misc]simplify: iters left: 4 (26 enodes) 1539333326.143 * * [misc]simplify: iters left: 3 (28 enodes) 1539333326.154 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333326.154 * [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))))))) 1539333326.154 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1539333326.154 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.156 * * [misc]simplify: iters left: 6 (16 enodes) 1539333326.163 * * [misc]simplify: iters left: 5 (25 enodes) 1539333326.173 * * [misc]simplify: iters left: 4 (35 enodes) 1539333326.187 * * [misc]simplify: iters left: 3 (58 enodes) 1539333326.214 * * [misc]simplify: iters left: 2 (99 enodes) 1539333326.258 * * [misc]simplify: iters left: 1 (192 enodes) 1539333326.354 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1539333326.354 * [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)))))))) 1539333326.354 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.355 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.358 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.362 * * [misc]simplify: iters left: 4 (26 enodes) 1539333326.368 * * [misc]simplify: iters left: 3 (28 enodes) 1539333326.378 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333326.378 * [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))))))) 1539333326.378 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1539333326.378 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1539333326.382 * * [misc]simplify: iters left: 6 (8 enodes) 1539333326.385 * * [misc]simplify: iters left: 5 (14 enodes) 1539333326.392 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.398 * * [misc]simplify: iters left: 3 (29 enodes) 1539333326.406 * * [misc]simplify: iters left: 2 (45 enodes) 1539333326.413 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1539333326.413 * [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))))))) 1539333326.413 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333326.414 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.418 * * [misc]simplify: iters left: 5 (19 enodes) 1539333326.421 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.425 * * [misc]simplify: iters left: 3 (27 enodes) 1539333326.430 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333326.430 * [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)))))) 1539333326.430 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1539333326.430 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333326.431 * * [misc]simplify: iters left: 6 (12 enodes) 1539333326.435 * * [misc]simplify: iters left: 5 (18 enodes) 1539333326.440 * * [misc]simplify: iters left: 4 (21 enodes) 1539333326.446 * * [misc]simplify: iters left: 3 (23 enodes) 1539333326.455 * * [misc]simplify: iters left: 2 (35 enodes) 1539333326.466 * * [misc]simplify: iters left: 1 (43 enodes) 1539333326.477 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333326.477 * [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))))))) 1539333326.477 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333326.479 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.484 * * [misc]simplify: iters left: 5 (21 enodes) 1539333326.494 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.501 * * [misc]simplify: iters left: 3 (27 enodes) 1539333326.512 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333326.512 * [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)))))) 1539333326.512 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1539333326.512 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1539333326.513 * * [misc]simplify: iters left: 6 (12 enodes) 1539333326.517 * * [misc]simplify: iters left: 5 (18 enodes) 1539333326.520 * * [misc]simplify: iters left: 4 (21 enodes) 1539333326.523 * * [misc]simplify: iters left: 3 (23 enodes) 1539333326.528 * * [misc]simplify: iters left: 2 (35 enodes) 1539333326.533 * * [misc]simplify: iters left: 1 (43 enodes) 1539333326.539 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1539333326.539 * [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))))))) 1539333326.539 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1539333326.540 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.543 * * [misc]simplify: iters left: 5 (21 enodes) 1539333326.546 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.550 * * [misc]simplify: iters left: 3 (27 enodes) 1539333326.559 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1539333326.560 * [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)))))) 1539333326.560 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1539333326.560 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1539333326.561 * * [misc]simplify: iters left: 6 (13 enodes) 1539333326.566 * * [misc]simplify: iters left: 5 (19 enodes) 1539333326.572 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.581 * * [misc]simplify: iters left: 3 (34 enodes) 1539333326.593 * * [misc]simplify: iters left: 2 (44 enodes) 1539333326.600 * * [misc]simplify: iters left: 1 (59 enodes) 1539333326.610 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1539333326.610 * [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))))))) 1539333326.611 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1539333326.611 * * [misc]simplify: iters left: 6 (12 enodes) 1539333326.614 * * [misc]simplify: iters left: 5 (16 enodes) 1539333326.618 * * [misc]simplify: iters left: 4 (22 enodes) 1539333326.625 * * [misc]simplify: iters left: 3 (24 enodes) 1539333326.634 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1539333326.634 * [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)))))) 1539333326.635 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1539333326.635 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333326.636 * * [misc]simplify: iters left: 6 (16 enodes) 1539333326.643 * * [misc]simplify: iters left: 5 (25 enodes) 1539333326.652 * * [misc]simplify: iters left: 4 (33 enodes) 1539333326.662 * * [misc]simplify: iters left: 3 (41 enodes) 1539333326.679 * * [misc]simplify: iters left: 2 (64 enodes) 1539333326.707 * * [misc]simplify: iters left: 1 (95 enodes) 1539333326.728 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1539333326.729 * [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)))))))) 1539333326.729 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.730 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.733 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.736 * * [misc]simplify: iters left: 4 (26 enodes) 1539333326.740 * * [misc]simplify: iters left: 3 (28 enodes) 1539333326.745 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333326.745 * [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))))))) 1539333326.745 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1539333326.745 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.746 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.749 * * [misc]simplify: iters left: 5 (22 enodes) 1539333326.752 * * [misc]simplify: iters left: 4 (28 enodes) 1539333326.757 * * [misc]simplify: iters left: 3 (37 enodes) 1539333326.764 * * [misc]simplify: iters left: 2 (47 enodes) 1539333326.771 * * [misc]simplify: iters left: 1 (62 enodes) 1539333326.784 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1539333326.784 * [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)))))))) 1539333326.785 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.785 * * [misc]simplify: iters left: 6 (15 enodes) 1539333326.788 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.792 * * [misc]simplify: iters left: 4 (26 enodes) 1539333326.795 * * [misc]simplify: iters left: 3 (28 enodes) 1539333326.800 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333326.800 * [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))))))) 1539333326.800 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1539333326.800 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt (sqrt k)) 1)) 1539333326.801 * * [misc]simplify: iters left: 6 (7 enodes) 1539333326.802 * * [misc]simplify: iters left: 5 (11 enodes) 1539333326.805 * * [misc]simplify: iters left: 4 (17 enodes) 1539333326.807 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1539333326.807 * [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))))))) 1539333326.807 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333326.808 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.811 * * [misc]simplify: iters left: 5 (19 enodes) 1539333326.814 * * [misc]simplify: iters left: 4 (25 enodes) 1539333326.818 * * [misc]simplify: iters left: 3 (27 enodes) 1539333326.826 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333326.826 * [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)))))) 1539333326.826 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1539333326.826 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1539333326.827 * * [misc]simplify: iters left: 6 (9 enodes) 1539333326.832 * * [misc]simplify: iters left: 5 (15 enodes) 1539333326.836 * [exit]simplify: Simplified to (sqrt (* n 2)) 1539333326.836 * [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))))))) 1539333326.836 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333326.837 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.843 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.850 * * [misc]simplify: iters left: 4 (24 enodes) 1539333326.857 * * [misc]simplify: iters left: 3 (26 enodes) 1539333326.867 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333326.867 * [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)))) 1539333326.867 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1539333326.867 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow (* n 2) 1/2))) 1539333326.867 * * [misc]simplify: iters left: 6 (9 enodes) 1539333326.870 * * [misc]simplify: iters left: 5 (15 enodes) 1539333326.872 * [exit]simplify: Simplified to (sqrt (* n 2)) 1539333326.872 * [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))))))) 1539333326.872 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1539333326.873 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.876 * * [misc]simplify: iters left: 5 (20 enodes) 1539333326.879 * * [misc]simplify: iters left: 4 (24 enodes) 1539333326.883 * * [misc]simplify: iters left: 3 (26 enodes) 1539333326.888 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333326.888 * [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)))) 1539333326.888 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1539333326.888 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (pow n (- 1/2 (/ k 2))))) 1539333326.888 * * [misc]simplify: iters left: 6 (11 enodes) 1539333326.891 * * [misc]simplify: iters left: 5 (17 enodes) 1539333326.896 * * [misc]simplify: iters left: 4 (20 enodes) 1539333326.902 * * [misc]simplify: iters left: 3 (24 enodes) 1539333326.908 * * [misc]simplify: iters left: 2 (26 enodes) 1539333326.915 * * [misc]simplify: iters left: 1 (28 enodes) 1539333326.923 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1539333326.923 * [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))))))) 1539333326.923 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333326.924 * * [misc]simplify: iters left: 6 (11 enodes) 1539333326.928 * * [misc]simplify: iters left: 5 (15 enodes) 1539333326.934 * * [misc]simplify: iters left: 4 (21 enodes) 1539333326.938 * * [misc]simplify: iters left: 3 (23 enodes) 1539333326.942 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1539333326.942 * [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))))))) 1539333326.942 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1539333326.942 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333326.943 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.946 * * [misc]simplify: iters left: 5 (23 enodes) 1539333326.950 * * [misc]simplify: iters left: 4 (26 enodes) 1539333326.954 * * [misc]simplify: iters left: 3 (31 enodes) 1539333326.959 * * [misc]simplify: iters left: 2 (34 enodes) 1539333326.967 * * [misc]simplify: iters left: 1 (48 enodes) 1539333326.985 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333326.985 * [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)))))))) 1539333326.985 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333326.987 * * [misc]simplify: iters left: 6 (14 enodes) 1539333326.992 * * [misc]simplify: iters left: 5 (19 enodes) 1539333326.999 * * [misc]simplify: iters left: 4 (25 enodes) 1539333327.006 * * [misc]simplify: iters left: 3 (27 enodes) 1539333327.016 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.016 * [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))))))) 1539333327.016 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1539333327.016 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333327.018 * * [misc]simplify: iters left: 6 (13 enodes) 1539333327.024 * * [misc]simplify: iters left: 5 (20 enodes) 1539333327.030 * * [misc]simplify: iters left: 4 (23 enodes) 1539333327.038 * * [misc]simplify: iters left: 3 (27 enodes) 1539333327.044 * * [misc]simplify: iters left: 2 (29 enodes) 1539333327.052 * * [misc]simplify: iters left: 1 (31 enodes) 1539333327.060 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.061 * [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)))))))) 1539333327.061 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333327.062 * * [misc]simplify: iters left: 6 (14 enodes) 1539333327.068 * * [misc]simplify: iters left: 5 (19 enodes) 1539333327.075 * * [misc]simplify: iters left: 4 (25 enodes) 1539333327.083 * * [misc]simplify: iters left: 3 (27 enodes) 1539333327.096 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.096 * [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))))))) 1539333327.096 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1539333327.096 * [enter]simplify: Simplifying (/ (/ 1 1) (/ 1 1)) 1539333327.096 * * [misc]simplify: iters left: 4 (3 enodes) 1539333327.098 * * [misc]simplify: iters left: 3 (5 enodes) 1539333327.099 * [exit]simplify: Simplified to 1 1539333327.099 * [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))))))) 1539333327.099 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.100 * * [misc]simplify: iters left: 6 (13 enodes) 1539333327.105 * * [misc]simplify: iters left: 5 (18 enodes) 1539333327.112 * * [misc]simplify: iters left: 4 (24 enodes) 1539333327.119 * * [misc]simplify: iters left: 3 (26 enodes) 1539333327.129 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333327.129 * [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)))) 1539333327.129 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1539333327.130 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1539333327.130 * * [misc]simplify: iters left: 4 (3 enodes) 1539333327.131 * * [misc]simplify: iters left: 3 (5 enodes) 1539333327.132 * [exit]simplify: Simplified to 1 1539333327.132 * [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))))))) 1539333327.133 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.134 * * [misc]simplify: iters left: 6 (13 enodes) 1539333327.139 * * [misc]simplify: iters left: 5 (18 enodes) 1539333327.146 * * [misc]simplify: iters left: 4 (24 enodes) 1539333327.153 * * [misc]simplify: iters left: 3 (26 enodes) 1539333327.163 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1539333327.163 * [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)))) 1539333327.163 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1539333327.163 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt k)) 1539333327.164 * * [misc]simplify: iters left: 4 (5 enodes) 1539333327.166 * * [misc]simplify: iters left: 3 (7 enodes) 1539333327.168 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1539333327.168 * [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))))))) 1539333327.168 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.169 * * [misc]simplify: iters left: 6 (13 enodes) 1539333327.174 * * [misc]simplify: iters left: 5 (20 enodes) 1539333327.181 * * [misc]simplify: iters left: 4 (26 enodes) 1539333327.192 * * [misc]simplify: iters left: 3 (36 enodes) 1539333327.202 * * [misc]simplify: iters left: 2 (38 enodes) 1539333327.207 * * [misc]simplify: iters left: 1 (43 enodes) 1539333327.214 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1539333327.214 * [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)))))) 1539333327.214 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1539333327.214 * [enter]simplify: Simplifying (/ (/ 1 1) (/ (sqrt k) (pow (* n 2) 1/2))) 1539333327.214 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.218 * * [misc]simplify: iters left: 5 (17 enodes) 1539333327.221 * * [misc]simplify: iters left: 4 (20 enodes) 1539333327.223 * * [misc]simplify: iters left: 3 (22 enodes) 1539333327.228 * * [misc]simplify: iters left: 2 (34 enodes) 1539333327.233 * * [misc]simplify: iters left: 1 (42 enodes) 1539333327.239 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1539333327.239 * [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))))) 1539333327.239 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1539333327.240 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.242 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.244 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.247 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1539333327.247 * [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))))) 1539333327.247 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1539333327.247 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1539333327.247 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1539333327.247 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1539333327.247 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.248 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.250 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.252 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.255 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.255 * [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))))))) 1539333327.255 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1539333327.255 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.256 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.257 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.260 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.263 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.263 * [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))))))) 1539333327.263 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1539333327.263 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333327.263 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.265 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.267 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333327.267 * [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))))) 1539333327.267 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1539333327.268 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333327.268 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.270 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.272 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333327.272 * [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))))) 1539333327.272 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1539333327.273 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333327.273 * * [misc]simplify: iters left: 6 (9 enodes) 1539333327.275 * * [misc]simplify: iters left: 5 (11 enodes) 1539333327.277 * * [misc]simplify: iters left: 4 (14 enodes) 1539333327.279 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333327.279 * [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)))))) 1539333327.279 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1539333327.279 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.280 * * [misc]simplify: iters left: 6 (12 enodes) 1539333327.282 * * [misc]simplify: iters left: 5 (15 enodes) 1539333327.286 * * [misc]simplify: iters left: 4 (18 enodes) 1539333327.289 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.289 * [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))))))) 1539333327.289 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1539333327.290 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.290 * * [misc]simplify: iters left: 6 (12 enodes) 1539333327.292 * * [misc]simplify: iters left: 5 (15 enodes) 1539333327.295 * * [misc]simplify: iters left: 4 (18 enodes) 1539333327.298 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.298 * [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))))))) 1539333327.298 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1539333327.298 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.299 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.301 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.303 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.306 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.306 * [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)))))) 1539333327.306 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1539333327.306 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333327.307 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.309 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.311 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333327.311 * [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))))) 1539333327.311 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1539333327.311 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333327.312 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.313 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.316 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333327.316 * [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))))) 1539333327.316 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1539333327.316 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333327.316 * * [misc]simplify: iters left: 6 (9 enodes) 1539333327.318 * * [misc]simplify: iters left: 5 (11 enodes) 1539333327.321 * * [misc]simplify: iters left: 4 (14 enodes) 1539333327.326 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333327.326 * [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)))))) 1539333327.326 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1539333327.326 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.327 * * [misc]simplify: iters left: 6 (12 enodes) 1539333327.332 * * [misc]simplify: iters left: 5 (15 enodes) 1539333327.337 * * [misc]simplify: iters left: 4 (18 enodes) 1539333327.344 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.344 * [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))))))) 1539333327.344 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1539333327.344 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.345 * * [misc]simplify: iters left: 6 (12 enodes) 1539333327.350 * * [misc]simplify: iters left: 5 (15 enodes) 1539333327.355 * * [misc]simplify: iters left: 4 (18 enodes) 1539333327.361 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.361 * [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))))))) 1539333327.361 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1539333327.361 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.362 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.366 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.371 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.377 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.377 * [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)))))) 1539333327.377 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1539333327.377 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333327.378 * * [misc]simplify: iters left: 6 (9 enodes) 1539333327.382 * * [misc]simplify: iters left: 5 (12 enodes) 1539333327.386 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333327.386 * [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))))) 1539333327.386 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1539333327.386 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333327.389 * * [misc]simplify: iters left: 6 (9 enodes) 1539333327.392 * * [misc]simplify: iters left: 5 (12 enodes) 1539333327.397 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333327.397 * [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))))) 1539333327.397 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1539333327.397 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333327.398 * * [misc]simplify: iters left: 6 (8 enodes) 1539333327.401 * * [misc]simplify: iters left: 5 (10 enodes) 1539333327.405 * * [misc]simplify: iters left: 4 (13 enodes) 1539333327.409 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333327.409 * [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)))))) 1539333327.409 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1539333327.409 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.410 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.413 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.415 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.418 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.418 * [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))))))) 1539333327.418 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1539333327.418 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.419 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.421 * * [misc]simplify: iters left: 5 (14 enodes) 1539333327.423 * * [misc]simplify: iters left: 4 (17 enodes) 1539333327.426 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333327.426 * [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))))))) 1539333327.426 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1539333327.426 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.427 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.429 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.431 * * [misc]simplify: iters left: 4 (16 enodes) 1539333327.434 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.434 * [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)))))) 1539333327.434 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1539333327.434 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.434 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.436 * * [misc]simplify: iters left: 5 (13 enodes) 1539333327.438 * * [misc]simplify: iters left: 4 (16 enodes) 1539333327.441 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.441 * [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)))))) 1539333327.441 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1539333327.441 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1539333327.442 * * [misc]simplify: iters left: 6 (10 enodes) 1539333327.444 * * [misc]simplify: iters left: 5 (15 enodes) 1539333327.449 * * [misc]simplify: iters left: 4 (18 enodes) 1539333327.454 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333327.455 * [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)))))) 1539333327.455 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1539333327.455 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333327.455 * * [misc]simplify: iters left: 3 (6 enodes) 1539333327.457 * * [misc]simplify: iters left: 2 (7 enodes) 1539333327.460 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333327.460 * [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)))) 1539333327.460 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1539333327.460 * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) (cbrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))))) 1539333327.461 * * [misc]simplify: iters left: 6 (12 enodes) 1539333327.467 * * [misc]simplify: iters left: 5 (18 enodes) 1539333327.470 * * [misc]simplify: iters left: 4 (22 enodes) 1539333327.474 * * [misc]simplify: iters left: 3 (26 enodes) 1539333327.477 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1539333327.477 * [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))))))))) 1539333327.477 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1539333327.478 * [enter]simplify: Simplifying (sqrt (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1539333327.478 * * [misc]simplify: iters left: 6 (11 enodes) 1539333327.482 * * [misc]simplify: iters left: 5 (17 enodes) 1539333327.485 * * [misc]simplify: iters left: 4 (21 enodes) 1539333327.489 * * [misc]simplify: iters left: 3 (25 enodes) 1539333327.492 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1539333327.492 * [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))))))))) 1539333327.492 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1539333327.492 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1539333327.492 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1539333327.492 * [enter]simplify: Simplifying (/ 1 1) 1539333327.492 * * [misc]simplify: iters left: 2 (2 enodes) 1539333327.493 * * [misc]simplify: iters left: 1 (4 enodes) 1539333327.493 * [exit]simplify: Simplified to 1 1539333327.493 * [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)))))) 1539333327.493 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1539333327.494 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1539333327.494 * * [misc]simplify: iters left: 5 (8 enodes) 1539333327.496 * * [misc]simplify: iters left: 4 (11 enodes) 1539333327.498 * * [misc]simplify: iters left: 3 (14 enodes) 1539333327.500 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1539333327.500 * [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))))) 1539333327.500 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1539333327.500 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1539333327.500 * [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))))) 1539333327.503 * * [misc]simplify: iters left: 6 (35 enodes) 1539333327.516 * * [misc]simplify: iters left: 5 (99 enodes) 1539333327.563 * * [misc]simplify: iters left: 4 (298 enodes) 1539333327.967 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1539333327.967 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1539333327.967 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1539333327.968 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1539333327.969 * * [misc]simplify: iters left: 6 (13 enodes) 1539333327.974 * * [misc]simplify: iters left: 5 (27 enodes) 1539333327.983 * * [misc]simplify: iters left: 4 (53 enodes) 1539333328.004 * * [misc]simplify: iters left: 3 (116 enodes) 1539333328.081 * * [misc]simplify: iters left: 2 (362 enodes) 1539333328.435 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1539333328.435 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1539333328.435 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1539333328.436 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1539333328.437 * * [misc]simplify: iters left: 6 (13 enodes) 1539333328.444 * * [misc]simplify: iters left: 5 (24 enodes) 1539333328.457 * * [misc]simplify: iters left: 4 (54 enodes) 1539333328.475 * * [misc]simplify: iters left: 3 (143 enodes) 1539333328.616 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1539333328.616 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1539333328.616 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1539333328.616 * [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)))) 1539333328.619 * * [misc]simplify: iters left: 6 (18 enodes) 1539333328.628 * * [misc]simplify: iters left: 5 (39 enodes) 1539333328.653 * * [misc]simplify: iters left: 4 (104 enodes) 1539333328.722 * * [misc]simplify: iters left: 3 (275 enodes) 1539333328.926 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1539333328.926 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333328.926 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1539333328.927 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1539333328.927 * * [misc]simplify: iters left: 5 (6 enodes) 1539333328.928 * * [misc]simplify: iters left: 4 (9 enodes) 1539333328.931 * * [misc]simplify: iters left: 3 (17 enodes) 1539333328.934 * * [misc]simplify: iters left: 2 (20 enodes) 1539333328.936 * * [misc]simplify: iters left: 1 (24 enodes) 1539333328.943 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1539333328.943 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333328.943 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1539333328.943 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1539333328.943 * * [misc]simplify: iters left: 5 (6 enodes) 1539333328.945 * * [misc]simplify: iters left: 4 (9 enodes) 1539333328.947 * * [misc]simplify: iters left: 3 (17 enodes) 1539333328.950 * * [misc]simplify: iters left: 2 (20 enodes) 1539333328.953 * * [misc]simplify: iters left: 1 (24 enodes) 1539333328.965 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1539333328.965 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (* k 1/2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333328.965 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1539333328.965 * [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)))))))))))) 1539333328.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1539333328.965 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1539333328.966 * [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))))))))))) 1539333328.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1539333328.966 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1539333328.966 * [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))))))))) 1539333328.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) +nan.0)) 1539333328.966 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1539333328.966 * [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))))))))))))))) 1539333328.966 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333328.966 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1539333328.967 * [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)))))))) 1539333328.967 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333328.967 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1539333328.967 * [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)))))))) 1539333328.967 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1539333328.967 * * * [misc]progress: adding candidates to table 1539333335.893 * * [misc]progress: iteration 4 / 4 1539333335.893 * * * [misc]progress: picking best candidate 1539333335.970 * * * * [misc]pick: Picked # 1539333335.970 * * * [misc]progress: localizing error 1539333335.977 * * * [misc]progress: generating rewritten candidates 1539333335.977 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1539333335.990 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) 1539333335.999 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1539333336.031 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1539333336.086 * * * [misc]progress: generating series expansions 1539333336.087 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1539333336.087 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1539333336.087 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1539333336.087 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.087 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.087 * [misc]taylor: Taking taylor expansion of k in k 1539333336.087 * [misc]backup-simplify: Simplify 0 into 0 1539333336.087 * [misc]backup-simplify: Simplify 1 into 1 1539333336.087 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333336.087 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.087 * [misc]backup-simplify: Simplify 2 into 2 1539333336.087 * [misc]taylor: Taking taylor expansion of n in k 1539333336.087 * [misc]backup-simplify: Simplify n into n 1539333336.087 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333336.088 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333336.088 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.088 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.088 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.088 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333336.088 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333336.089 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.089 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.089 * [misc]taylor: Taking taylor expansion of k in n 1539333336.089 * [misc]backup-simplify: Simplify k into k 1539333336.089 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.089 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.089 * [misc]backup-simplify: Simplify 2 into 2 1539333336.089 * [misc]taylor: Taking taylor expansion of n in n 1539333336.089 * [misc]backup-simplify: Simplify 0 into 0 1539333336.089 * [misc]backup-simplify: Simplify 1 into 1 1539333336.089 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.089 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.089 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.089 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333336.090 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333336.090 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333336.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.090 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333336.091 * [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)))) 1539333336.091 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.091 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.091 * [misc]taylor: Taking taylor expansion of k in n 1539333336.091 * [misc]backup-simplify: Simplify k into k 1539333336.091 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.091 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.091 * [misc]backup-simplify: Simplify 2 into 2 1539333336.091 * [misc]taylor: Taking taylor expansion of n in n 1539333336.091 * [misc]backup-simplify: Simplify 0 into 0 1539333336.091 * [misc]backup-simplify: Simplify 1 into 1 1539333336.091 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.091 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.091 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.092 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333336.092 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333336.092 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333336.092 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.092 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333336.093 * [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)))) 1539333336.093 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of (log 2) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.093 * [misc]backup-simplify: Simplify 2 into 2 1539333336.093 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.093 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of n in k 1539333336.093 * [misc]backup-simplify: Simplify n into n 1539333336.093 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333336.093 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.093 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.093 * [misc]taylor: Taking taylor expansion of k in k 1539333336.093 * [misc]backup-simplify: Simplify 0 into 0 1539333336.093 * [misc]backup-simplify: Simplify 1 into 1 1539333336.094 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1539333336.094 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.094 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.094 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.094 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1539333336.094 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1539333336.095 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1539333336.095 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.097 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.098 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1539333336.098 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.098 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.098 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.098 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1539333336.100 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.100 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.100 * [misc]backup-simplify: Simplify 0 into 0 1539333336.100 * [misc]backup-simplify: Simplify 0 into 0 1539333336.100 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333336.100 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.100 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1539333336.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.103 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1539333336.103 * [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))))) 1539333336.104 * [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))))) 1539333336.104 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1539333336.107 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333336.108 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1539333336.108 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.108 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.108 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1539333336.110 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1539333336.110 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.110 * [misc]backup-simplify: Simplify 0 into 0 1539333336.110 * [misc]backup-simplify: Simplify 0 into 0 1539333336.110 * [misc]backup-simplify: Simplify 0 into 0 1539333336.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.110 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.113 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333336.114 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1539333336.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.115 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1539333336.116 * [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))))) 1539333336.118 * [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))))) 1539333336.121 * [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))))) 1539333336.122 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.122 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1539333336.122 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of k in k 1539333336.122 * [misc]backup-simplify: Simplify 0 into 0 1539333336.122 * [misc]backup-simplify: Simplify 1 into 1 1539333336.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.122 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333336.122 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.122 * [misc]backup-simplify: Simplify 2 into 2 1539333336.122 * [misc]taylor: Taking taylor expansion of n in k 1539333336.122 * [misc]backup-simplify: Simplify n into n 1539333336.122 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333336.122 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333336.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.122 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.123 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.123 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333336.123 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.123 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.123 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.123 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of k in n 1539333336.123 * [misc]backup-simplify: Simplify k into k 1539333336.123 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.123 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.123 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.123 * [misc]backup-simplify: Simplify 2 into 2 1539333336.123 * [misc]taylor: Taking taylor expansion of n in n 1539333336.123 * [misc]backup-simplify: Simplify 0 into 0 1539333336.123 * [misc]backup-simplify: Simplify 1 into 1 1539333336.123 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.123 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.123 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.123 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.124 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.124 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.124 * [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))) 1539333336.124 * [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)))) 1539333336.124 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of k in n 1539333336.124 * [misc]backup-simplify: Simplify k into k 1539333336.124 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.124 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.124 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.124 * [misc]backup-simplify: Simplify 2 into 2 1539333336.124 * [misc]taylor: Taking taylor expansion of n in n 1539333336.125 * [misc]backup-simplify: Simplify 0 into 0 1539333336.125 * [misc]backup-simplify: Simplify 1 into 1 1539333336.125 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.125 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.125 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.125 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.125 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.125 * [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))) 1539333336.126 * [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)))) 1539333336.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of k in k 1539333336.126 * [misc]backup-simplify: Simplify 0 into 0 1539333336.126 * [misc]backup-simplify: Simplify 1 into 1 1539333336.126 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.126 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of (log 2) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.126 * [misc]backup-simplify: Simplify 2 into 2 1539333336.126 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.126 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333336.126 * [misc]taylor: Taking taylor expansion of n in k 1539333336.126 * [misc]backup-simplify: Simplify n into n 1539333336.126 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333336.126 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.126 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.127 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.127 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333336.127 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1539333336.127 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1539333336.127 * [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)))) 1539333336.127 * [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)))) 1539333336.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333336.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.130 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.130 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.130 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.130 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.131 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333336.131 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.131 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.131 * [misc]backup-simplify: Simplify 0 into 0 1539333336.132 * [misc]backup-simplify: Simplify 0 into 0 1539333336.132 * [misc]backup-simplify: Simplify 0 into 0 1539333336.132 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.134 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1539333336.135 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333336.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333336.135 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.135 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.136 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1539333336.137 * [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 1539333336.137 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.137 * [misc]backup-simplify: Simplify 0 into 0 1539333336.137 * [misc]backup-simplify: Simplify 0 into 0 1539333336.137 * [misc]backup-simplify: Simplify 0 into 0 1539333336.137 * [misc]backup-simplify: Simplify 0 into 0 1539333336.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.144 * [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 1539333336.144 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333336.144 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333336.145 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.145 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.146 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1539333336.149 * [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 1539333336.149 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.149 * [misc]backup-simplify: Simplify 0 into 0 1539333336.149 * [misc]backup-simplify: Simplify 0 into 0 1539333336.150 * [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)))) 1539333336.150 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.150 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1539333336.150 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.150 * [misc]taylor: Taking taylor expansion of k in k 1539333336.150 * [misc]backup-simplify: Simplify 0 into 0 1539333336.150 * [misc]backup-simplify: Simplify 1 into 1 1539333336.151 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.151 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.151 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333336.151 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333336.151 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.151 * [misc]backup-simplify: Simplify -2 into -2 1539333336.151 * [misc]taylor: Taking taylor expansion of n in k 1539333336.151 * [misc]backup-simplify: Simplify n into n 1539333336.151 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333336.151 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333336.151 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.152 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.152 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333336.152 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.152 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.152 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of k in n 1539333336.152 * [misc]backup-simplify: Simplify k into k 1539333336.152 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.152 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.152 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.152 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.152 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.153 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.153 * [misc]backup-simplify: Simplify -2 into -2 1539333336.153 * [misc]taylor: Taking taylor expansion of n in n 1539333336.153 * [misc]backup-simplify: Simplify 0 into 0 1539333336.153 * [misc]backup-simplify: Simplify 1 into 1 1539333336.153 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.153 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.153 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.153 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.154 * [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))) 1539333336.154 * [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)))) 1539333336.154 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.154 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.154 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.154 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.154 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.154 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.155 * [misc]taylor: Taking taylor expansion of k in n 1539333336.155 * [misc]backup-simplify: Simplify k into k 1539333336.155 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.155 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.155 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.155 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.155 * [misc]backup-simplify: Simplify -2 into -2 1539333336.155 * [misc]taylor: Taking taylor expansion of n in n 1539333336.155 * [misc]backup-simplify: Simplify 0 into 0 1539333336.155 * [misc]backup-simplify: Simplify 1 into 1 1539333336.155 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.155 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.155 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.155 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.156 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.156 * [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))) 1539333336.156 * [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)))) 1539333336.157 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.157 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of k in k 1539333336.157 * [misc]backup-simplify: Simplify 0 into 0 1539333336.157 * [misc]backup-simplify: Simplify 1 into 1 1539333336.157 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.157 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.157 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.157 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of (log -2) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.157 * [misc]backup-simplify: Simplify -2 into -2 1539333336.157 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.157 * [misc]taylor: Taking taylor expansion of (log n) in k 1539333336.157 * [misc]taylor: Taking taylor expansion of n in k 1539333336.158 * [misc]backup-simplify: Simplify n into n 1539333336.158 * [misc]backup-simplify: Simplify (log n) into (log n) 1539333336.158 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.158 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.158 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1539333336.158 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1539333336.158 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1539333336.159 * [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)))) 1539333336.159 * [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)))) 1539333336.159 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333336.162 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333336.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.163 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.163 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333336.165 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.165 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.165 * [misc]backup-simplify: Simplify 0 into 0 1539333336.165 * [misc]backup-simplify: Simplify 0 into 0 1539333336.165 * [misc]backup-simplify: Simplify 0 into 0 1539333336.165 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.169 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1539333336.169 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333336.169 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1539333336.169 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.169 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.170 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1539333336.171 * [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 1539333336.171 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.171 * [misc]backup-simplify: Simplify 0 into 0 1539333336.171 * [misc]backup-simplify: Simplify 0 into 0 1539333336.171 * [misc]backup-simplify: Simplify 0 into 0 1539333336.171 * [misc]backup-simplify: Simplify 0 into 0 1539333336.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.176 * [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 1539333336.176 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1539333336.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1539333336.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.177 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1539333336.179 * [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 1539333336.179 * [misc]taylor: Taking taylor expansion of 0 in k 1539333336.179 * [misc]backup-simplify: Simplify 0 into 0 1539333336.179 * [misc]backup-simplify: Simplify 0 into 0 1539333336.179 * [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))))) 1539333336.179 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) 1539333336.179 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1539333336.180 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1539333336.180 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.180 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.180 * [misc]taylor: Taking taylor expansion of k in k 1539333336.180 * [misc]backup-simplify: Simplify 0 into 0 1539333336.180 * [misc]backup-simplify: Simplify 1 into 1 1539333336.180 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.180 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.180 * [misc]backup-simplify: Simplify PI into PI 1539333336.180 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.180 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.180 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.180 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.181 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.181 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333336.181 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333336.181 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333336.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333336.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.182 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.182 * [misc]taylor: Taking taylor expansion of k in k 1539333336.182 * [misc]backup-simplify: Simplify 0 into 0 1539333336.182 * [misc]backup-simplify: Simplify 1 into 1 1539333336.182 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.182 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.182 * [misc]backup-simplify: Simplify PI into PI 1539333336.182 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.182 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.182 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.182 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.183 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.183 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333336.183 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1539333336.185 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333336.185 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333336.185 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.185 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1539333336.188 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333336.189 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333336.192 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1539333336.192 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.192 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.193 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1539333336.201 * [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))) 1539333336.202 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1539333336.205 * [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)))) 1539333336.205 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.205 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1539333336.205 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.205 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.205 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.205 * [misc]taylor: Taking taylor expansion of k in k 1539333336.205 * [misc]backup-simplify: Simplify 0 into 0 1539333336.205 * [misc]backup-simplify: Simplify 1 into 1 1539333336.206 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.206 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.206 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.206 * [misc]backup-simplify: Simplify PI into PI 1539333336.206 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.206 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.206 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.206 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.207 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333336.207 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.207 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.207 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.207 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.207 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of k in k 1539333336.207 * [misc]backup-simplify: Simplify 0 into 0 1539333336.207 * [misc]backup-simplify: Simplify 1 into 1 1539333336.207 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.207 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.207 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.207 * [misc]backup-simplify: Simplify PI into PI 1539333336.207 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.208 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.208 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.208 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.208 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333336.208 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.209 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1539333336.209 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.209 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1539333336.209 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of k in k 1539333336.209 * [misc]backup-simplify: Simplify 0 into 0 1539333336.209 * [misc]backup-simplify: Simplify 1 into 1 1539333336.209 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.209 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.209 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.209 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.209 * [misc]backup-simplify: Simplify PI into PI 1539333336.210 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.210 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.210 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.210 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.211 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.211 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.211 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of k in k 1539333336.211 * [misc]backup-simplify: Simplify 0 into 0 1539333336.211 * [misc]backup-simplify: Simplify 1 into 1 1539333336.211 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.211 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.211 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.211 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.211 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.211 * [misc]backup-simplify: Simplify PI into PI 1539333336.211 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.211 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.211 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.212 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.212 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.212 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify 0 into 0 1539333336.212 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1539333336.212 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1539333336.213 * [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)) 1539333336.213 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1539333336.213 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.213 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.213 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.213 * [misc]taylor: Taking taylor expansion of k in n 1539333336.213 * [misc]backup-simplify: Simplify k into k 1539333336.213 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.213 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.213 * [misc]backup-simplify: Simplify 2 into 2 1539333336.213 * [misc]taylor: Taking taylor expansion of n in n 1539333336.213 * [misc]backup-simplify: Simplify 0 into 0 1539333336.213 * [misc]backup-simplify: Simplify 1 into 1 1539333336.213 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.214 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.214 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.214 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333336.214 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333336.214 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333336.214 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.214 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333336.214 * [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)))) 1539333336.215 * [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))))) 1539333336.215 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333336.215 * [misc]taylor: Taking taylor expansion of k in n 1539333336.215 * [misc]backup-simplify: Simplify k into k 1539333336.215 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333336.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333336.215 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.215 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.215 * [misc]taylor: Taking taylor expansion of k in k 1539333336.215 * [misc]backup-simplify: Simplify 0 into 0 1539333336.215 * [misc]backup-simplify: Simplify 1 into 1 1539333336.215 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333336.215 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.215 * [misc]backup-simplify: Simplify 2 into 2 1539333336.215 * [misc]taylor: Taking taylor expansion of n in k 1539333336.215 * [misc]backup-simplify: Simplify n into n 1539333336.215 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333336.215 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333336.215 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.215 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.216 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.216 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333336.216 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333336.216 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1539333336.216 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333336.216 * [misc]taylor: Taking taylor expansion of k in k 1539333336.216 * [misc]backup-simplify: Simplify 0 into 0 1539333336.216 * [misc]backup-simplify: Simplify 1 into 1 1539333336.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.216 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.216 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1539333336.216 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1539333336.216 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333336.216 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.217 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.217 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.217 * [misc]taylor: Taking taylor expansion of k in k 1539333336.217 * [misc]backup-simplify: Simplify 0 into 0 1539333336.217 * [misc]backup-simplify: Simplify 1 into 1 1539333336.217 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333336.217 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.217 * [misc]backup-simplify: Simplify 2 into 2 1539333336.217 * [misc]taylor: Taking taylor expansion of n in k 1539333336.217 * [misc]backup-simplify: Simplify n into n 1539333336.217 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333336.217 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333336.217 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.217 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.217 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.217 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333336.217 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333336.217 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1539333336.217 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333336.218 * [misc]taylor: Taking taylor expansion of k in k 1539333336.218 * [misc]backup-simplify: Simplify 0 into 0 1539333336.218 * [misc]backup-simplify: Simplify 1 into 1 1539333336.218 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.218 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.218 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1539333336.218 * [misc]taylor: Taking taylor expansion of 0 in n 1539333336.218 * [misc]backup-simplify: Simplify 0 into 0 1539333336.218 * [misc]backup-simplify: Simplify 0 into 0 1539333336.218 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1539333336.219 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1539333336.219 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333336.219 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.219 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.220 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1539333336.220 * [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)))) 1539333336.221 * [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)))) 1539333336.222 * [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)))) 1539333336.222 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1539333336.222 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1539333336.222 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.222 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.222 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1539333336.222 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333336.222 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333336.223 * [misc]taylor: Taking taylor expansion of n in n 1539333336.223 * [misc]backup-simplify: Simplify 0 into 0 1539333336.223 * [misc]backup-simplify: Simplify 1 into 1 1539333336.223 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.223 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.223 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.223 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333336.223 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.223 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333336.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333336.224 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.224 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333336.225 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1539333336.225 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.225 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.225 * [misc]backup-simplify: Simplify 0 into 0 1539333336.226 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.226 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1539333336.228 * [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 1539333336.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.228 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.228 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.228 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1539333336.230 * [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))) 1539333336.236 * [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))))) 1539333336.243 * [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)))))) 1539333336.243 * [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 1539333336.243 * [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 1539333336.243 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1539333336.243 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.243 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.243 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1539333336.243 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1539333336.243 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333336.243 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.243 * [misc]backup-simplify: Simplify 2 into 2 1539333336.243 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333336.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333336.244 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.244 * [misc]backup-simplify: Simplify 2 into 2 1539333336.244 * [misc]taylor: Taking taylor expansion of n in n 1539333336.244 * [misc]backup-simplify: Simplify 0 into 0 1539333336.244 * [misc]backup-simplify: Simplify 1 into 1 1539333336.244 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.244 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.244 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.244 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.244 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333336.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333336.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333336.244 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of n in n 1539333336.245 * [misc]backup-simplify: Simplify 0 into 0 1539333336.245 * [misc]backup-simplify: Simplify 1 into 1 1539333336.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.245 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.245 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.245 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.245 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1539333336.245 * [misc]taylor: Taking taylor expansion of n in n 1539333336.245 * [misc]backup-simplify: Simplify 0 into 0 1539333336.245 * [misc]backup-simplify: Simplify 1 into 1 1539333336.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.246 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.246 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1539333336.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.246 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1539333336.246 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1539333336.246 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.247 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1539333336.247 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1539333336.248 * [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))) 1539333336.248 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.248 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1539333336.249 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.250 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.251 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1539333336.252 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1539333336.255 * [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))))))) 1539333336.257 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1539333336.262 * [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))))))) 1539333336.263 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.263 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1539333336.263 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1539333336.264 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.269 * [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))))))))) 1539333336.274 * [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))))))) 1539333336.278 * [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))))))) 1539333336.279 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1539333336.280 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333336.280 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.281 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.282 * [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))) 1539333336.282 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.282 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1539333336.296 * [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)))))))))))) 1539333336.296 * [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))) 1539333336.296 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1539333336.296 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1539333336.296 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333336.296 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.296 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.296 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.297 * [misc]taylor: Taking taylor expansion of k in n 1539333336.297 * [misc]backup-simplify: Simplify k into k 1539333336.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.297 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.297 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.297 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.297 * [misc]backup-simplify: Simplify 2 into 2 1539333336.297 * [misc]taylor: Taking taylor expansion of n in n 1539333336.297 * [misc]backup-simplify: Simplify 0 into 0 1539333336.297 * [misc]backup-simplify: Simplify 1 into 1 1539333336.297 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.298 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.298 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.298 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.298 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.299 * [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))) 1539333336.299 * [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)))) 1539333336.299 * [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))))) 1539333336.299 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333336.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.300 * [misc]taylor: Taking taylor expansion of k in n 1539333336.300 * [misc]backup-simplify: Simplify k into k 1539333336.300 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.300 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333336.300 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.300 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333336.300 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.300 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.300 * [misc]taylor: Taking taylor expansion of k in k 1539333336.300 * [misc]backup-simplify: Simplify 0 into 0 1539333336.300 * [misc]backup-simplify: Simplify 1 into 1 1539333336.301 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.301 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333336.301 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333336.301 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.301 * [misc]backup-simplify: Simplify 2 into 2 1539333336.301 * [misc]taylor: Taking taylor expansion of n in k 1539333336.301 * [misc]backup-simplify: Simplify n into n 1539333336.301 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333336.301 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333336.301 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.301 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.302 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.302 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333336.302 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.302 * [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))))) 1539333336.302 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333336.302 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.302 * [misc]taylor: Taking taylor expansion of k in k 1539333336.302 * [misc]backup-simplify: Simplify 0 into 0 1539333336.302 * [misc]backup-simplify: Simplify 1 into 1 1539333336.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.303 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.303 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.303 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1539333336.303 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1539333336.303 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.303 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333336.303 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333336.303 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.304 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.304 * [misc]taylor: Taking taylor expansion of k in k 1539333336.304 * [misc]backup-simplify: Simplify 0 into 0 1539333336.304 * [misc]backup-simplify: Simplify 1 into 1 1539333336.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.304 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333336.304 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333336.304 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.304 * [misc]backup-simplify: Simplify 2 into 2 1539333336.304 * [misc]taylor: Taking taylor expansion of n in k 1539333336.304 * [misc]backup-simplify: Simplify n into n 1539333336.304 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333336.304 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333336.305 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.305 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.305 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.305 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333336.305 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.305 * [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))))) 1539333336.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333336.305 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.305 * [misc]taylor: Taking taylor expansion of k in k 1539333336.306 * [misc]backup-simplify: Simplify 0 into 0 1539333336.306 * [misc]backup-simplify: Simplify 1 into 1 1539333336.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.306 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.306 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.307 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1539333336.307 * [misc]taylor: Taking taylor expansion of 0 in n 1539333336.307 * [misc]backup-simplify: Simplify 0 into 0 1539333336.307 * [misc]backup-simplify: Simplify 0 into 0 1539333336.307 * [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 1539333336.308 * [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))))))) 1539333336.308 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.308 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.308 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.308 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.308 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.308 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.308 * [misc]taylor: Taking taylor expansion of k in n 1539333336.308 * [misc]backup-simplify: Simplify k into k 1539333336.309 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.309 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.309 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.309 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.309 * [misc]backup-simplify: Simplify 2 into 2 1539333336.309 * [misc]taylor: Taking taylor expansion of n in n 1539333336.309 * [misc]backup-simplify: Simplify 0 into 0 1539333336.309 * [misc]backup-simplify: Simplify 1 into 1 1539333336.309 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.309 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.309 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.309 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.310 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.310 * [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))) 1539333336.311 * [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)))) 1539333336.311 * [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))))) 1539333336.312 * [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))))) 1539333336.312 * [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))))))) 1539333336.313 * [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))))))) 1539333336.313 * [misc]backup-simplify: Simplify 0 into 0 1539333336.313 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333336.314 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.314 * [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 1539333336.315 * [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))))))) 1539333336.315 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.315 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.315 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of k in n 1539333336.315 * [misc]backup-simplify: Simplify k into k 1539333336.315 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.315 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.315 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.315 * [misc]backup-simplify: Simplify 2 into 2 1539333336.315 * [misc]taylor: Taking taylor expansion of n in n 1539333336.315 * [misc]backup-simplify: Simplify 0 into 0 1539333336.315 * [misc]backup-simplify: Simplify 1 into 1 1539333336.315 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.315 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.316 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.316 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.316 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.316 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.316 * [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))) 1539333336.316 * [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)))) 1539333336.317 * [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))))) 1539333336.317 * [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))))) 1539333336.317 * [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))))))) 1539333336.317 * [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))))))) 1539333336.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333336.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.320 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.320 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.320 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.320 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333336.321 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.322 * [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 1539333336.322 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1539333336.322 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.322 * [misc]backup-simplify: Simplify 0 into 0 1539333336.322 * [misc]backup-simplify: Simplify 0 into 0 1539333336.322 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.323 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333336.324 * [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 1539333336.324 * [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))))))) 1539333336.324 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.324 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.324 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of k in n 1539333336.324 * [misc]backup-simplify: Simplify k into k 1539333336.324 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.324 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.324 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.324 * [misc]backup-simplify: Simplify 2 into 2 1539333336.324 * [misc]taylor: Taking taylor expansion of n in n 1539333336.324 * [misc]backup-simplify: Simplify 0 into 0 1539333336.324 * [misc]backup-simplify: Simplify 1 into 1 1539333336.324 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.325 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.325 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.325 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.325 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.325 * [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))) 1539333336.325 * [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)))) 1539333336.326 * [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))))) 1539333336.326 * [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))))) 1539333336.326 * [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))))))) 1539333336.326 * [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))))))) 1539333336.327 * [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))))))))))) 1539333336.328 * [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))) 1539333336.328 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1539333336.328 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of -1 in n 1539333336.328 * [misc]backup-simplify: Simplify -1 into -1 1539333336.328 * [misc]taylor: Taking taylor expansion of k in n 1539333336.328 * [misc]backup-simplify: Simplify k into k 1539333336.328 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333336.328 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333336.328 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333336.328 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333336.328 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of k in n 1539333336.328 * [misc]backup-simplify: Simplify k into k 1539333336.328 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.328 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.328 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.328 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.328 * [misc]backup-simplify: Simplify -2 into -2 1539333336.328 * [misc]taylor: Taking taylor expansion of n in n 1539333336.328 * [misc]backup-simplify: Simplify 0 into 0 1539333336.329 * [misc]backup-simplify: Simplify 1 into 1 1539333336.329 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.329 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.329 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.329 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.329 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.329 * [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))) 1539333336.330 * [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)))) 1539333336.330 * [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))))) 1539333336.330 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333336.330 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333336.330 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333336.330 * [misc]taylor: Taking taylor expansion of -1 in k 1539333336.330 * [misc]backup-simplify: Simplify -1 into -1 1539333336.330 * [misc]taylor: Taking taylor expansion of k in k 1539333336.330 * [misc]backup-simplify: Simplify 0 into 0 1539333336.330 * [misc]backup-simplify: Simplify 1 into 1 1539333336.330 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333336.330 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.331 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333336.331 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of k in k 1539333336.331 * [misc]backup-simplify: Simplify 0 into 0 1539333336.331 * [misc]backup-simplify: Simplify 1 into 1 1539333336.331 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.331 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.331 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333336.331 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.331 * [misc]backup-simplify: Simplify -2 into -2 1539333336.331 * [misc]taylor: Taking taylor expansion of n in k 1539333336.331 * [misc]backup-simplify: Simplify n into n 1539333336.331 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333336.331 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333336.331 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.332 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.332 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333336.332 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.332 * [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))) 1539333336.332 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1539333336.332 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333336.332 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333336.332 * [misc]taylor: Taking taylor expansion of -1 in k 1539333336.332 * [misc]backup-simplify: Simplify -1 into -1 1539333336.332 * [misc]taylor: Taking taylor expansion of k in k 1539333336.332 * [misc]backup-simplify: Simplify 0 into 0 1539333336.332 * [misc]backup-simplify: Simplify 1 into 1 1539333336.332 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333336.332 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.333 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333336.333 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of k in k 1539333336.333 * [misc]backup-simplify: Simplify 0 into 0 1539333336.333 * [misc]backup-simplify: Simplify 1 into 1 1539333336.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.333 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333336.333 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.333 * [misc]backup-simplify: Simplify -2 into -2 1539333336.333 * [misc]taylor: Taking taylor expansion of n in k 1539333336.333 * [misc]backup-simplify: Simplify n into n 1539333336.333 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333336.333 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333336.333 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.333 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.333 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333336.334 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.334 * [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))) 1539333336.334 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.334 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.334 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.334 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of k in n 1539333336.334 * [misc]backup-simplify: Simplify k into k 1539333336.334 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.334 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.334 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.334 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.334 * [misc]backup-simplify: Simplify -2 into -2 1539333336.334 * [misc]taylor: Taking taylor expansion of n in n 1539333336.334 * [misc]backup-simplify: Simplify 0 into 0 1539333336.334 * [misc]backup-simplify: Simplify 1 into 1 1539333336.334 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.335 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.335 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.335 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.335 * [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))) 1539333336.335 * [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)))) 1539333336.336 * [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))))) 1539333336.336 * [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))))) 1539333336.336 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333336.337 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.337 * [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))))) 1539333336.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.337 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of k in n 1539333336.337 * [misc]backup-simplify: Simplify k into k 1539333336.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.337 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.337 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.337 * [misc]backup-simplify: Simplify -2 into -2 1539333336.337 * [misc]taylor: Taking taylor expansion of n in n 1539333336.337 * [misc]backup-simplify: Simplify 0 into 0 1539333336.338 * [misc]backup-simplify: Simplify 1 into 1 1539333336.338 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.338 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.338 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.338 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.338 * [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))) 1539333336.338 * [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)))) 1539333336.339 * [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))))) 1539333336.339 * [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))))) 1539333336.339 * [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))))))) 1539333336.339 * [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))))))) 1539333336.340 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333336.341 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333336.341 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.341 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.342 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.342 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333336.343 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.343 * [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 1539333336.343 * [misc]backup-simplify: Simplify 0 into 0 1539333336.344 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.344 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333336.345 * [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))))) 1539333336.345 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.345 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.345 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of k in n 1539333336.345 * [misc]backup-simplify: Simplify k into k 1539333336.345 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.345 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.345 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.345 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.345 * [misc]backup-simplify: Simplify -2 into -2 1539333336.345 * [misc]taylor: Taking taylor expansion of n in n 1539333336.345 * [misc]backup-simplify: Simplify 0 into 0 1539333336.345 * [misc]backup-simplify: Simplify 1 into 1 1539333336.345 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.346 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.346 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.346 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.346 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.346 * [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))) 1539333336.346 * [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)))) 1539333336.347 * [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))))) 1539333336.347 * [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))))) 1539333336.347 * [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))))))) 1539333336.347 * [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))))))) 1539333336.348 * [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))))))))) 1539333336.348 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1539333336.349 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1539333336.349 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1539333336.349 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.349 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.349 * [misc]taylor: Taking taylor expansion of k in n 1539333336.349 * [misc]backup-simplify: Simplify k into k 1539333336.349 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.349 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.349 * [misc]backup-simplify: Simplify 2 into 2 1539333336.349 * [misc]taylor: Taking taylor expansion of n in n 1539333336.349 * [misc]backup-simplify: Simplify 0 into 0 1539333336.349 * [misc]backup-simplify: Simplify 1 into 1 1539333336.349 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.349 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.350 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.350 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333336.350 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333336.350 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333336.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.350 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1539333336.350 * [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)))) 1539333336.350 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1539333336.350 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1539333336.350 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1539333336.350 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1539333336.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.350 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1539333336.351 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.351 * [misc]taylor: Taking taylor expansion of k in n 1539333336.351 * [misc]backup-simplify: Simplify k into k 1539333336.351 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.351 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.351 * [misc]backup-simplify: Simplify PI into PI 1539333336.351 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.351 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1539333336.351 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1539333336.351 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1539333336.351 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1539333336.352 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1539333336.352 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1539333336.353 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1539333336.353 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1539333336.353 * [misc]taylor: Taking taylor expansion of k in n 1539333336.353 * [misc]backup-simplify: Simplify k into k 1539333336.353 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1539333336.353 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1539333336.353 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.353 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.353 * [misc]taylor: Taking taylor expansion of k in k 1539333336.353 * [misc]backup-simplify: Simplify 0 into 0 1539333336.353 * [misc]backup-simplify: Simplify 1 into 1 1539333336.353 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333336.354 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333336.354 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.354 * [misc]backup-simplify: Simplify 2 into 2 1539333336.354 * [misc]taylor: Taking taylor expansion of n in k 1539333336.354 * [misc]backup-simplify: Simplify n into n 1539333336.354 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333336.354 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333336.354 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.354 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.354 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.354 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333336.354 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333336.355 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.355 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.355 * [misc]taylor: Taking taylor expansion of k in k 1539333336.355 * [misc]backup-simplify: Simplify 0 into 0 1539333336.355 * [misc]backup-simplify: Simplify 1 into 1 1539333336.355 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.355 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.355 * [misc]backup-simplify: Simplify PI into PI 1539333336.355 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.355 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.356 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.356 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.356 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.357 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333336.358 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1539333336.358 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1539333336.358 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333336.358 * [misc]taylor: Taking taylor expansion of k in k 1539333336.358 * [misc]backup-simplify: Simplify 0 into 0 1539333336.358 * [misc]backup-simplify: Simplify 1 into 1 1539333336.358 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.359 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.359 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.359 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.359 * [misc]taylor: Taking taylor expansion of k in k 1539333336.359 * [misc]backup-simplify: Simplify 0 into 0 1539333336.359 * [misc]backup-simplify: Simplify 1 into 1 1539333336.359 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1539333336.359 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.359 * [misc]backup-simplify: Simplify 2 into 2 1539333336.359 * [misc]taylor: Taking taylor expansion of n in k 1539333336.359 * [misc]backup-simplify: Simplify n into n 1539333336.359 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1539333336.359 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1539333336.360 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.360 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.360 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.360 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1539333336.360 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1539333336.360 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.360 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.360 * [misc]taylor: Taking taylor expansion of k in k 1539333336.360 * [misc]backup-simplify: Simplify 0 into 0 1539333336.360 * [misc]backup-simplify: Simplify 1 into 1 1539333336.360 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.360 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.360 * [misc]backup-simplify: Simplify PI into PI 1539333336.360 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.360 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1539333336.361 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.361 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.361 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.361 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1539333336.362 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1539333336.362 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1539333336.362 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1539333336.362 * [misc]taylor: Taking taylor expansion of k in k 1539333336.362 * [misc]backup-simplify: Simplify 0 into 0 1539333336.362 * [misc]backup-simplify: Simplify 1 into 1 1539333336.362 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.362 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.363 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1539333336.363 * [misc]taylor: Taking taylor expansion of 0 in n 1539333336.363 * [misc]backup-simplify: Simplify 0 into 0 1539333336.363 * [misc]backup-simplify: Simplify 0 into 0 1539333336.365 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333336.365 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333336.365 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.365 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.366 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1539333336.368 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1539333336.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1539333336.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1539333336.369 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1539333336.369 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.369 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.369 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1539333336.370 * [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)))) 1539333336.371 * [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)))))) 1539333336.373 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1539333336.374 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1539333336.374 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1539333336.374 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1539333336.374 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.374 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.374 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1539333336.374 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1539333336.374 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333336.374 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.374 * [misc]backup-simplify: Simplify 2 into 2 1539333336.374 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333336.375 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333336.375 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539333336.375 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539333336.375 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539333336.375 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333336.375 * [misc]taylor: Taking taylor expansion of n in n 1539333336.375 * [misc]backup-simplify: Simplify 0 into 0 1539333336.375 * [misc]backup-simplify: Simplify 1 into 1 1539333336.375 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.375 * [misc]backup-simplify: Simplify PI into PI 1539333336.375 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333336.376 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333336.376 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333336.376 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.376 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333336.376 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539333336.377 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.378 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1539333336.379 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.380 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.381 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.381 * [misc]backup-simplify: Simplify 0 into 0 1539333336.382 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.386 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1539333336.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.386 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.386 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.388 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1539333336.393 * [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))) 1539333336.394 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1539333336.396 * [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 1539333336.396 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.396 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.396 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.397 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1539333336.399 * [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))) 1539333336.404 * [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))))))) 1539333336.416 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1539333336.425 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1539333336.425 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.425 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.425 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.425 * [misc]backup-simplify: Simplify PI into PI 1539333336.426 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.426 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333336.426 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.426 * [misc]backup-simplify: Simplify 2 into 2 1539333336.426 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333336.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333336.426 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1539333336.426 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1539333336.426 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1539333336.426 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333336.426 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.426 * [misc]backup-simplify: Simplify PI into PI 1539333336.426 * [misc]taylor: Taking taylor expansion of n in n 1539333336.426 * [misc]backup-simplify: Simplify 0 into 0 1539333336.426 * [misc]backup-simplify: Simplify 1 into 1 1539333336.427 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333336.427 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333336.427 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333336.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.428 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333336.428 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.428 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333336.428 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.428 * [misc]backup-simplify: Simplify 2 into 2 1539333336.428 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333336.428 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333336.429 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1539333336.429 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1539333336.429 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1539333336.429 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1539333336.429 * [misc]taylor: Taking taylor expansion of n in n 1539333336.429 * [misc]backup-simplify: Simplify 0 into 0 1539333336.429 * [misc]backup-simplify: Simplify 1 into 1 1539333336.429 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.429 * [misc]backup-simplify: Simplify PI into PI 1539333336.429 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1539333336.429 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1539333336.429 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333336.430 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.430 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333336.430 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.430 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.430 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1539333336.430 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.430 * [misc]backup-simplify: Simplify 2 into 2 1539333336.430 * [misc]taylor: Taking taylor expansion of n in n 1539333336.430 * [misc]backup-simplify: Simplify 0 into 0 1539333336.430 * [misc]backup-simplify: Simplify 1 into 1 1539333336.430 * [misc]backup-simplify: Simplify (* 2 0) into 0 1539333336.430 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1539333336.431 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.431 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1539333336.431 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.431 * [misc]backup-simplify: Simplify 2 into 2 1539333336.431 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1539333336.431 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1539333336.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1539333336.432 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1539333336.432 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1539333336.432 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1539333336.432 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1539333336.432 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.432 * [misc]backup-simplify: Simplify PI into PI 1539333336.432 * [misc]taylor: Taking taylor expansion of n in n 1539333336.432 * [misc]backup-simplify: Simplify 0 into 0 1539333336.432 * [misc]backup-simplify: Simplify 1 into 1 1539333336.432 * [misc]backup-simplify: Simplify (* PI 0) into 0 1539333336.433 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1539333336.433 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1539333336.434 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.434 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1539333336.436 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333336.438 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539333336.439 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1539333336.440 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1539333336.441 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1539333336.441 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539333336.442 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.442 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1539333336.444 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1539333336.444 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1539333336.446 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.446 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1539333336.447 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539333336.447 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1539333336.448 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539333336.450 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1539333336.452 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1539333336.454 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1539333336.457 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1539333336.460 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1539333336.463 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1539333336.464 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1539333336.465 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1539333336.466 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1539333336.467 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1539333336.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1539333336.469 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539333336.472 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539333336.474 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539333336.475 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1539333336.481 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1539333336.482 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1539333336.482 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1539333336.482 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.482 * [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 1539333336.482 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.482 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.482 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.482 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of k in n 1539333336.482 * [misc]backup-simplify: Simplify k into k 1539333336.482 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.482 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.482 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.482 * [misc]backup-simplify: Simplify PI into PI 1539333336.482 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.482 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.482 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.483 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.483 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333336.483 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.483 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.483 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of k in n 1539333336.483 * [misc]backup-simplify: Simplify k into k 1539333336.483 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.483 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.483 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.483 * [misc]backup-simplify: Simplify 2 into 2 1539333336.483 * [misc]taylor: Taking taylor expansion of n in n 1539333336.483 * [misc]backup-simplify: Simplify 0 into 0 1539333336.483 * [misc]backup-simplify: Simplify 1 into 1 1539333336.484 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.484 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.484 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.484 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.484 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.484 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.484 * [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))) 1539333336.484 * [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)))) 1539333336.485 * [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))))) 1539333336.485 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.485 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1539333336.485 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.485 * [misc]taylor: Taking taylor expansion of k in n 1539333336.485 * [misc]backup-simplify: Simplify k into k 1539333336.485 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.485 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1539333336.485 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1539333336.485 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1539333336.485 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1539333336.485 * [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 1539333336.486 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of k in k 1539333336.486 * [misc]backup-simplify: Simplify 0 into 0 1539333336.486 * [misc]backup-simplify: Simplify 1 into 1 1539333336.486 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.486 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.486 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.486 * [misc]backup-simplify: Simplify PI into PI 1539333336.486 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.486 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.486 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.486 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.487 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333336.487 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.487 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.487 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of k in k 1539333336.487 * [misc]backup-simplify: Simplify 0 into 0 1539333336.487 * [misc]backup-simplify: Simplify 1 into 1 1539333336.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.487 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333336.487 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.487 * [misc]backup-simplify: Simplify 2 into 2 1539333336.487 * [misc]taylor: Taking taylor expansion of n in k 1539333336.487 * [misc]backup-simplify: Simplify n into n 1539333336.488 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333336.488 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333336.488 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.488 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.488 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.488 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333336.488 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.488 * [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))))) 1539333336.488 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1539333336.488 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of k in k 1539333336.489 * [misc]backup-simplify: Simplify 0 into 0 1539333336.489 * [misc]backup-simplify: Simplify 1 into 1 1539333336.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.489 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.489 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1539333336.489 * [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 1539333336.489 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.489 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of k in k 1539333336.489 * [misc]backup-simplify: Simplify 0 into 0 1539333336.489 * [misc]backup-simplify: Simplify 1 into 1 1539333336.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.489 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.489 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.490 * [misc]backup-simplify: Simplify PI into PI 1539333336.490 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.490 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.490 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.490 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.490 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1539333336.491 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.491 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of k in k 1539333336.491 * [misc]backup-simplify: Simplify 0 into 0 1539333336.491 * [misc]backup-simplify: Simplify 1 into 1 1539333336.491 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.491 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1539333336.491 * [misc]taylor: Taking taylor expansion of 2 in k 1539333336.491 * [misc]backup-simplify: Simplify 2 into 2 1539333336.491 * [misc]taylor: Taking taylor expansion of n in k 1539333336.491 * [misc]backup-simplify: Simplify n into n 1539333336.491 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1539333336.491 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1539333336.491 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.491 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1539333336.492 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1539333336.492 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1539333336.492 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.492 * [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))))) 1539333336.492 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1539333336.492 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1539333336.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.492 * [misc]taylor: Taking taylor expansion of k in k 1539333336.492 * [misc]backup-simplify: Simplify 0 into 0 1539333336.492 * [misc]backup-simplify: Simplify 1 into 1 1539333336.492 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.492 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.493 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1539333336.493 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1539333336.493 * [misc]taylor: Taking taylor expansion of 0 in n 1539333336.494 * [misc]backup-simplify: Simplify 0 into 0 1539333336.495 * [misc]backup-simplify: Simplify 0 into 0 1539333336.495 * [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 1539333336.495 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1539333336.496 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1539333336.496 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.496 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.496 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.496 * [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 1539333336.496 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of k in n 1539333336.496 * [misc]backup-simplify: Simplify k into k 1539333336.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.496 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.496 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.496 * [misc]backup-simplify: Simplify PI into PI 1539333336.496 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.497 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.497 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.497 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.497 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333336.497 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.497 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.497 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.497 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.497 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.497 * [misc]taylor: Taking taylor expansion of k in n 1539333336.497 * [misc]backup-simplify: Simplify k into k 1539333336.497 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.497 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.498 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.498 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.498 * [misc]backup-simplify: Simplify 2 into 2 1539333336.498 * [misc]taylor: Taking taylor expansion of n in n 1539333336.498 * [misc]backup-simplify: Simplify 0 into 0 1539333336.498 * [misc]backup-simplify: Simplify 1 into 1 1539333336.498 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.498 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.498 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.498 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.498 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.498 * [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))) 1539333336.499 * [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)))) 1539333336.499 * [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))))) 1539333336.499 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.500 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.500 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.500 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.500 * [misc]backup-simplify: Simplify 0 into 0 1539333336.501 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1539333336.501 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.502 * [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 1539333336.502 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1539333336.503 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1539333336.503 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.503 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.503 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.503 * [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 1539333336.503 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.503 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.503 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of k in n 1539333336.503 * [misc]backup-simplify: Simplify k into k 1539333336.503 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.503 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.503 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.503 * [misc]backup-simplify: Simplify PI into PI 1539333336.503 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.503 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.503 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.504 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.504 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333336.504 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.504 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.504 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.504 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.504 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of k in n 1539333336.504 * [misc]backup-simplify: Simplify k into k 1539333336.504 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.504 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.504 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.504 * [misc]backup-simplify: Simplify 2 into 2 1539333336.504 * [misc]taylor: Taking taylor expansion of n in n 1539333336.504 * [misc]backup-simplify: Simplify 0 into 0 1539333336.504 * [misc]backup-simplify: Simplify 1 into 1 1539333336.505 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.505 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.505 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.505 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.505 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.505 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.505 * [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))) 1539333336.506 * [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)))) 1539333336.506 * [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))))) 1539333336.506 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.507 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.507 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.507 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.508 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1539333336.511 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1539333336.511 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.511 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.512 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.512 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.512 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1539333336.514 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.517 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333336.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.517 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.518 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1539333336.520 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.520 * [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 1539333336.521 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1539333336.522 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1539333336.522 * [misc]backup-simplify: Simplify (- 0) into 0 1539333336.522 * [misc]backup-simplify: Simplify 0 into 0 1539333336.522 * [misc]backup-simplify: Simplify 0 into 0 1539333336.523 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.524 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333336.525 * [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 1539333336.526 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1539333336.527 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1539333336.527 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.527 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.527 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1539333336.527 * [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 1539333336.527 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.527 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.527 * [misc]taylor: Taking taylor expansion of k in n 1539333336.527 * [misc]backup-simplify: Simplify k into k 1539333336.528 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.528 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.528 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.528 * [misc]backup-simplify: Simplify PI into PI 1539333336.528 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.528 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.528 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.528 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.529 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1539333336.529 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1539333336.529 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.529 * [misc]taylor: Taking taylor expansion of k in n 1539333336.529 * [misc]backup-simplify: Simplify k into k 1539333336.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.529 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1539333336.530 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1539333336.530 * [misc]taylor: Taking taylor expansion of 2 in n 1539333336.530 * [misc]backup-simplify: Simplify 2 into 2 1539333336.530 * [misc]taylor: Taking taylor expansion of n in n 1539333336.530 * [misc]backup-simplify: Simplify 0 into 0 1539333336.530 * [misc]backup-simplify: Simplify 1 into 1 1539333336.530 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1539333336.530 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1539333336.530 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.530 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1539333336.530 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1539333336.531 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1539333336.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1539333336.531 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1539333336.532 * [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))))) 1539333336.532 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.533 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1539333336.533 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.534 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1539333336.537 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1539333336.537 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.537 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1539333336.537 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333336.537 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1539333336.537 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1539333336.537 * [misc]taylor: Taking taylor expansion of -1 in n 1539333336.537 * [misc]backup-simplify: Simplify -1 into -1 1539333336.538 * [misc]taylor: Taking taylor expansion of k in n 1539333336.538 * [misc]backup-simplify: Simplify k into k 1539333336.538 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1539333336.538 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1539333336.538 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1539333336.538 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1539333336.538 * [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 1539333336.538 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.538 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of k in n 1539333336.538 * [misc]backup-simplify: Simplify k into k 1539333336.538 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.538 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.538 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.538 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.538 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.538 * [misc]backup-simplify: Simplify -2 into -2 1539333336.538 * [misc]taylor: Taking taylor expansion of n in n 1539333336.538 * [misc]backup-simplify: Simplify 0 into 0 1539333336.538 * [misc]backup-simplify: Simplify 1 into 1 1539333336.539 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.539 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.539 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.539 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.539 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.540 * [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))) 1539333336.540 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1539333336.540 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.540 * [misc]taylor: Taking taylor expansion of k in n 1539333336.540 * [misc]backup-simplify: Simplify k into k 1539333336.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.540 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.541 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.541 * [misc]backup-simplify: Simplify PI into PI 1539333336.541 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.541 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.541 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.542 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333336.542 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.542 * [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))) 1539333336.543 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.543 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1539333336.543 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333336.543 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333336.543 * [misc]taylor: Taking taylor expansion of -1 in k 1539333336.543 * [misc]backup-simplify: Simplify -1 into -1 1539333336.543 * [misc]taylor: Taking taylor expansion of k in k 1539333336.543 * [misc]backup-simplify: Simplify 0 into 0 1539333336.543 * [misc]backup-simplify: Simplify 1 into 1 1539333336.543 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333336.544 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.544 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333336.544 * [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 1539333336.544 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.544 * [misc]taylor: Taking taylor expansion of k in k 1539333336.544 * [misc]backup-simplify: Simplify 0 into 0 1539333336.544 * [misc]backup-simplify: Simplify 1 into 1 1539333336.544 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.544 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.545 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333336.545 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333336.545 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.545 * [misc]backup-simplify: Simplify -2 into -2 1539333336.545 * [misc]taylor: Taking taylor expansion of n in k 1539333336.545 * [misc]backup-simplify: Simplify n into n 1539333336.545 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333336.545 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333336.545 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.545 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.545 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333336.545 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.545 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.545 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333336.545 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333336.546 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.546 * [misc]taylor: Taking taylor expansion of k in k 1539333336.546 * [misc]backup-simplify: Simplify 0 into 0 1539333336.546 * [misc]backup-simplify: Simplify 1 into 1 1539333336.546 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.546 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.546 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.546 * [misc]backup-simplify: Simplify PI into PI 1539333336.546 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.546 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.547 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.547 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.548 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.548 * [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))) 1539333336.548 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.548 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1539333336.548 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1539333336.548 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1539333336.548 * [misc]taylor: Taking taylor expansion of -1 in k 1539333336.548 * [misc]backup-simplify: Simplify -1 into -1 1539333336.548 * [misc]taylor: Taking taylor expansion of k in k 1539333336.549 * [misc]backup-simplify: Simplify 0 into 0 1539333336.549 * [misc]backup-simplify: Simplify 1 into 1 1539333336.549 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1539333336.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1539333336.549 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1539333336.549 * [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 1539333336.549 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.549 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1539333336.549 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1539333336.549 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.550 * [misc]taylor: Taking taylor expansion of k in k 1539333336.550 * [misc]backup-simplify: Simplify 0 into 0 1539333336.550 * [misc]backup-simplify: Simplify 1 into 1 1539333336.550 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.550 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.550 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1539333336.550 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1539333336.550 * [misc]taylor: Taking taylor expansion of -2 in k 1539333336.550 * [misc]backup-simplify: Simplify -2 into -2 1539333336.550 * [misc]taylor: Taking taylor expansion of n in k 1539333336.550 * [misc]backup-simplify: Simplify n into n 1539333336.550 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1539333336.550 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1539333336.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.551 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1539333336.551 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.551 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of k in k 1539333336.551 * [misc]backup-simplify: Simplify 0 into 0 1539333336.551 * [misc]backup-simplify: Simplify 1 into 1 1539333336.551 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1539333336.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1539333336.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.551 * [misc]taylor: Taking taylor expansion of (log PI) in k 1539333336.551 * [misc]taylor: Taking taylor expansion of PI in k 1539333336.551 * [misc]backup-simplify: Simplify PI into PI 1539333336.552 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.552 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1539333336.552 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1539333336.553 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1539333336.553 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.553 * [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))) 1539333336.554 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.554 * [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 1539333336.554 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.554 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.554 * [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 1539333336.554 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.554 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of k in n 1539333336.554 * [misc]backup-simplify: Simplify k into k 1539333336.554 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.554 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.554 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.554 * [misc]backup-simplify: Simplify -2 into -2 1539333336.554 * [misc]taylor: Taking taylor expansion of n in n 1539333336.555 * [misc]backup-simplify: Simplify 0 into 0 1539333336.555 * [misc]backup-simplify: Simplify 1 into 1 1539333336.555 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.555 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.555 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.555 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.556 * [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))) 1539333336.556 * [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)))) 1539333336.556 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of k in n 1539333336.556 * [misc]backup-simplify: Simplify k into k 1539333336.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.556 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.556 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.557 * [misc]backup-simplify: Simplify PI into PI 1539333336.557 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.557 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.557 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.557 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333336.558 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.558 * [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))) 1539333336.559 * [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)))) 1539333336.559 * [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)))) 1539333336.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1539333336.561 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1539333336.561 * [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 1539333336.562 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.562 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1539333336.562 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333336.562 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.562 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.562 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333336.562 * [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 1539333336.562 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of k in n 1539333336.563 * [misc]backup-simplify: Simplify k into k 1539333336.563 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.563 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.563 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.563 * [misc]backup-simplify: Simplify -2 into -2 1539333336.563 * [misc]taylor: Taking taylor expansion of n in n 1539333336.563 * [misc]backup-simplify: Simplify 0 into 0 1539333336.563 * [misc]backup-simplify: Simplify 1 into 1 1539333336.563 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.564 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.564 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.564 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.564 * [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))) 1539333336.565 * [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)))) 1539333336.565 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.565 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of k in n 1539333336.565 * [misc]backup-simplify: Simplify k into k 1539333336.565 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.565 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.565 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.565 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.565 * [misc]backup-simplify: Simplify PI into PI 1539333336.566 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.566 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.566 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.567 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333336.567 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.568 * [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))) 1539333336.568 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.569 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.570 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.570 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.573 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1539333336.574 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.574 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.575 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1539333336.576 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.576 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1539333336.579 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1539333336.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1539333336.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1539333336.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1539333336.580 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.580 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1539333336.582 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1539333336.582 * [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 1539333336.584 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1539333336.584 * [misc]backup-simplify: Simplify 0 into 0 1539333336.584 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1539333336.586 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1539333336.586 * [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 1539333336.588 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.588 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1539333336.588 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1539333336.588 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1539333336.588 * [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 1539333336.588 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.588 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.589 * [misc]taylor: Taking taylor expansion of k in n 1539333336.589 * [misc]backup-simplify: Simplify k into k 1539333336.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.589 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1539333336.589 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1539333336.589 * [misc]taylor: Taking taylor expansion of -2 in n 1539333336.589 * [misc]backup-simplify: Simplify -2 into -2 1539333336.589 * [misc]taylor: Taking taylor expansion of n in n 1539333336.589 * [misc]backup-simplify: Simplify 0 into 0 1539333336.589 * [misc]backup-simplify: Simplify 1 into 1 1539333336.589 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1539333336.589 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1539333336.589 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.590 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1539333336.590 * [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))) 1539333336.591 * [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)))) 1539333336.591 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of k in n 1539333336.591 * [misc]backup-simplify: Simplify k into k 1539333336.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1539333336.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1539333336.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1539333336.591 * [misc]taylor: Taking taylor expansion of (log PI) in n 1539333336.591 * [misc]taylor: Taking taylor expansion of PI in n 1539333336.591 * [misc]backup-simplify: Simplify PI into PI 1539333336.591 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1539333336.592 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1539333336.592 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1539333336.592 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1539333336.593 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1539333336.593 * [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))) 1539333336.594 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.594 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1539333336.595 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.596 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1539333336.599 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k)))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1539333336.599 * * * [misc]progress: simplifying candidates 1539333336.599 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1539333336.599 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1539333336.600 * * [misc]simplify: iters left: 6 (9 enodes) 1539333336.605 * * [misc]simplify: iters left: 5 (16 enodes) 1539333336.613 * * [misc]simplify: iters left: 4 (32 enodes) 1539333336.634 * * [misc]simplify: iters left: 3 (68 enodes) 1539333336.677 * * [misc]simplify: iters left: 2 (171 enodes) 1539333336.751 * * [misc]simplify: iters left: 1 (342 enodes) 1539333336.920 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1539333336.920 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1539333336.921 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1539333336.921 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1539333336.921 * [enter]simplify: Simplifying (* n 2) 1539333336.921 * * [misc]simplify: iters left: 2 (3 enodes) 1539333336.922 * * [misc]simplify: iters left: 1 (4 enodes) 1539333336.922 * [exit]simplify: Simplified to (* n 2) 1539333336.922 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1539333336.922 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1539333336.923 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333336.923 * * [misc]simplify: iters left: 3 (6 enodes) 1539333336.924 * * [misc]simplify: iters left: 2 (7 enodes) 1539333336.925 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333336.925 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1539333336.925 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1539333336.925 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333336.926 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.927 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.928 * * [misc]simplify: iters left: 3 (11 enodes) 1539333336.930 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333336.930 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1539333336.930 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1539333336.930 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333336.931 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.932 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.933 * * [misc]simplify: iters left: 3 (11 enodes) 1539333336.935 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333336.935 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1539333336.935 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1539333336.935 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333336.935 * * [misc]simplify: iters left: 4 (5 enodes) 1539333336.936 * * [misc]simplify: iters left: 3 (7 enodes) 1539333336.938 * * [misc]simplify: iters left: 2 (10 enodes) 1539333336.939 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333336.939 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1539333336.940 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1539333336.940 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333336.940 * * [misc]simplify: iters left: 5 (7 enodes) 1539333336.941 * * [misc]simplify: iters left: 4 (10 enodes) 1539333336.943 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333336.943 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1539333336.943 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1539333336.943 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333336.944 * * [misc]simplify: iters left: 5 (7 enodes) 1539333336.945 * * [misc]simplify: iters left: 4 (10 enodes) 1539333336.947 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333336.947 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1539333336.947 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1539333336.947 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1539333336.947 * * [misc]simplify: iters left: 5 (7 enodes) 1539333336.949 * * [misc]simplify: iters left: 4 (9 enodes) 1539333336.950 * * [misc]simplify: iters left: 3 (12 enodes) 1539333336.952 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1539333336.952 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1539333336.952 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1539333336.952 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1539333336.952 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1539333336.952 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1539333336.953 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1539333336.953 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1539333336.953 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1539333336.953 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1539333336.953 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1539333336.953 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1539333336.953 * * [misc]simplify: iters left: 3 (5 enodes) 1539333336.954 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1539333336.954 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.954 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1539333336.954 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1539333336.954 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.956 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.958 * * [misc]simplify: iters left: 3 (11 enodes) 1539333336.960 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1539333336.960 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.960 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1539333336.960 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1539333336.960 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.962 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.963 * * [misc]simplify: iters left: 3 (11 enodes) 1539333336.965 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1539333336.965 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.965 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1539333336.965 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1539333336.965 * * [misc]simplify: iters left: 4 (5 enodes) 1539333336.966 * * [misc]simplify: iters left: 3 (7 enodes) 1539333336.968 * * [misc]simplify: iters left: 2 (10 enodes) 1539333336.969 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1539333336.969 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.969 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1539333336.969 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1539333336.970 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.971 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.972 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1539333336.972 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.972 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1539333336.972 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1539333336.973 * * [misc]simplify: iters left: 5 (6 enodes) 1539333336.974 * * [misc]simplify: iters left: 4 (8 enodes) 1539333336.975 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1539333336.975 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333336.975 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1539333336.975 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1539333336.975 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1539333336.976 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1539333336.976 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333336.977 * * [misc]simplify: iters left: 6 (12 enodes) 1539333336.981 * * [misc]simplify: iters left: 5 (21 enodes) 1539333336.988 * * [misc]simplify: iters left: 4 (44 enodes) 1539333337.005 * * [misc]simplify: iters left: 3 (125 enodes) 1539333337.057 * * [misc]simplify: iters left: 2 (343 enodes) 1539333337.323 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1539333337.323 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1539333337.323 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1539333337.323 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333337.324 * * [misc]simplify: iters left: 6 (12 enodes) 1539333337.328 * * [misc]simplify: iters left: 5 (21 enodes) 1539333337.340 * * [misc]simplify: iters left: 4 (44 enodes) 1539333337.370 * * [misc]simplify: iters left: 3 (125 enodes) 1539333337.433 * * [misc]simplify: iters left: 2 (343 enodes) 1539333337.621 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1539333337.622 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1539333337.622 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1539333337.622 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1539333337.623 * * [misc]simplify: iters left: 6 (12 enodes) 1539333337.627 * * [misc]simplify: iters left: 5 (19 enodes) 1539333337.636 * * [misc]simplify: iters left: 4 (32 enodes) 1539333337.652 * * [misc]simplify: iters left: 3 (67 enodes) 1539333337.699 * * [misc]simplify: iters left: 2 (194 enodes) 1539333337.880 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1539333337.881 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1539333337.881 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1539333337.881 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1539333337.881 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1539333337.881 * [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))))) 1539333337.882 * * [misc]simplify: iters left: 6 (14 enodes) 1539333337.886 * * [misc]simplify: iters left: 5 (26 enodes) 1539333337.893 * * [misc]simplify: iters left: 4 (58 enodes) 1539333337.908 * * [misc]simplify: iters left: 3 (117 enodes) 1539333337.952 * * [misc]simplify: iters left: 2 (193 enodes) 1539333338.018 * * [misc]simplify: iters left: 1 (263 enodes) 1539333338.178 * [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))))) 1539333338.178 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.178 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1539333338.178 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1539333338.178 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1539333338.178 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1539333338.178 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1539333338.179 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1539333338.180 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.184 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.188 * * [misc]simplify: iters left: 4 (16 enodes) 1539333338.194 * * [misc]simplify: iters left: 3 (17 enodes) 1539333338.201 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1539333338.201 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1539333338.201 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333338.202 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.206 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.211 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333338.211 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1539333338.211 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1539333338.211 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1539333338.212 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.216 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.220 * * [misc]simplify: iters left: 4 (16 enodes) 1539333338.227 * * [misc]simplify: iters left: 3 (17 enodes) 1539333338.234 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1539333338.234 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1539333338.235 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333338.235 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.237 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.240 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333338.240 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1539333338.240 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1539333338.240 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1539333338.241 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.243 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.246 * * [misc]simplify: iters left: 4 (20 enodes) 1539333338.249 * * [misc]simplify: iters left: 3 (21 enodes) 1539333338.252 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1539333338.252 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.253 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333338.253 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.255 * * [misc]simplify: iters left: 5 (11 enodes) 1539333338.257 * * [misc]simplify: iters left: 4 (14 enodes) 1539333338.259 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333338.259 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.259 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1539333338.259 * [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)))))) 1539333338.260 * * [misc]simplify: iters left: 6 (14 enodes) 1539333338.263 * * [misc]simplify: iters left: 5 (23 enodes) 1539333338.268 * * [misc]simplify: iters left: 4 (35 enodes) 1539333338.277 * * [misc]simplify: iters left: 3 (38 enodes) 1539333338.283 * * [misc]simplify: iters left: 2 (41 enodes) 1539333338.291 * [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)))))) 1539333338.291 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.291 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.292 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.294 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.297 * * [misc]simplify: iters left: 4 (18 enodes) 1539333338.300 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.300 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.300 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1539333338.300 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.302 * * [misc]simplify: iters left: 6 (13 enodes) 1539333338.304 * * [misc]simplify: iters left: 5 (18 enodes) 1539333338.307 * * [misc]simplify: iters left: 4 (23 enodes) 1539333338.311 * * [misc]simplify: iters left: 3 (24 enodes) 1539333338.315 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.315 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.315 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.316 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.318 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.320 * * [misc]simplify: iters left: 4 (18 enodes) 1539333338.323 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.323 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.323 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1539333338.324 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1539333338.324 * * [misc]simplify: iters left: 6 (6 enodes) 1539333338.325 * * [misc]simplify: iters left: 5 (10 enodes) 1539333338.328 * * [misc]simplify: iters left: 4 (16 enodes) 1539333338.332 * * [misc]simplify: iters left: 3 (18 enodes) 1539333338.337 * * [misc]simplify: iters left: 2 (23 enodes) 1539333338.343 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333338.343 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.343 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.344 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.348 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.353 * * [misc]simplify: iters left: 4 (17 enodes) 1539333338.358 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.358 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.358 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1539333338.358 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1539333338.359 * * [misc]simplify: iters left: 5 (9 enodes) 1539333338.362 * * [misc]simplify: iters left: 4 (11 enodes) 1539333338.366 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1539333338.366 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1539333338.366 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333338.367 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.371 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.375 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333338.376 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1539333338.376 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1539333338.376 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1539333338.377 * * [misc]simplify: iters left: 5 (9 enodes) 1539333338.380 * * [misc]simplify: iters left: 4 (11 enodes) 1539333338.383 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1539333338.383 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1539333338.384 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333338.384 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.386 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.388 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333338.388 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1539333338.389 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1539333338.389 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1539333338.389 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.391 * * [misc]simplify: iters left: 5 (12 enodes) 1539333338.393 * * [misc]simplify: iters left: 4 (15 enodes) 1539333338.396 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1539333338.396 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.396 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333338.398 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.400 * * [misc]simplify: iters left: 5 (11 enodes) 1539333338.402 * * [misc]simplify: iters left: 4 (14 enodes) 1539333338.404 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333338.404 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.404 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1539333338.404 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333338.405 * * [misc]simplify: iters left: 6 (13 enodes) 1539333338.407 * * [misc]simplify: iters left: 5 (18 enodes) 1539333338.410 * * [misc]simplify: iters left: 4 (21 enodes) 1539333338.414 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333338.414 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.415 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.415 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.420 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.425 * * [misc]simplify: iters left: 4 (18 enodes) 1539333338.431 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.431 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.431 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1539333338.431 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.432 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.434 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.437 * * [misc]simplify: iters left: 4 (18 enodes) 1539333338.440 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.440 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.440 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.441 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.443 * * [misc]simplify: iters left: 5 (15 enodes) 1539333338.445 * * [misc]simplify: iters left: 4 (18 enodes) 1539333338.449 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.449 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.449 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1539333338.449 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1539333338.450 * * [misc]simplify: iters left: 4 (5 enodes) 1539333338.451 * * [misc]simplify: iters left: 3 (7 enodes) 1539333338.452 * * [misc]simplify: iters left: 2 (9 enodes) 1539333338.453 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333338.453 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.454 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.454 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.456 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.458 * * [misc]simplify: iters left: 4 (17 enodes) 1539333338.461 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.461 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.461 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1539333338.462 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1539333338.462 * * [misc]simplify: iters left: 5 (7 enodes) 1539333338.463 * * [misc]simplify: iters left: 4 (11 enodes) 1539333338.465 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1539333338.465 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1539333338.465 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333338.465 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.467 * * [misc]simplify: iters left: 5 (12 enodes) 1539333338.469 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333338.469 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1539333338.469 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1539333338.470 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1539333338.470 * * [misc]simplify: iters left: 5 (7 enodes) 1539333338.471 * * [misc]simplify: iters left: 4 (11 enodes) 1539333338.473 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1539333338.473 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1539333338.473 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333338.475 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.477 * * [misc]simplify: iters left: 5 (12 enodes) 1539333338.479 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333338.479 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1539333338.479 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1539333338.479 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1539333338.480 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.481 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.483 * * [misc]simplify: iters left: 4 (16 enodes) 1539333338.486 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1539333338.486 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.486 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333338.487 * * [misc]simplify: iters left: 6 (8 enodes) 1539333338.488 * * [misc]simplify: iters left: 5 (10 enodes) 1539333338.490 * * [misc]simplify: iters left: 4 (13 enodes) 1539333338.492 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333338.492 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1539333338.492 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1539333338.492 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333338.493 * * [misc]simplify: iters left: 6 (12 enodes) 1539333338.495 * * [misc]simplify: iters left: 5 (19 enodes) 1539333338.498 * * [misc]simplify: iters left: 4 (22 enodes) 1539333338.502 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333338.502 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.502 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.503 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.505 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.508 * * [misc]simplify: iters left: 4 (17 enodes) 1539333338.514 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.514 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.514 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1539333338.514 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.515 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.519 * * [misc]simplify: iters left: 5 (16 enodes) 1539333338.525 * * [misc]simplify: iters left: 4 (19 enodes) 1539333338.531 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333338.531 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.531 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.532 * * [misc]simplify: iters left: 6 (11 enodes) 1539333338.536 * * [misc]simplify: iters left: 5 (14 enodes) 1539333338.541 * * [misc]simplify: iters left: 4 (17 enodes) 1539333338.547 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.547 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333338.547 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1539333338.547 * [enter]simplify: Simplifying (/ 1 1) 1539333338.548 * * [misc]simplify: iters left: 2 (2 enodes) 1539333338.549 * * [misc]simplify: iters left: 1 (4 enodes) 1539333338.550 * [exit]simplify: Simplified to 1 1539333338.550 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.550 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.551 * * [misc]simplify: iters left: 6 (10 enodes) 1539333338.555 * * [misc]simplify: iters left: 5 (13 enodes) 1539333338.559 * * [misc]simplify: iters left: 4 (16 enodes) 1539333338.565 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.565 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.565 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1539333338.565 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1539333338.565 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1539333338.565 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1539333338.566 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333338.566 * * [misc]simplify: iters left: 5 (7 enodes) 1539333338.569 * * [misc]simplify: iters left: 4 (10 enodes) 1539333338.573 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333338.573 * [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))))))) 1539333338.573 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1539333338.573 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1539333338.574 * * [misc]simplify: iters left: 5 (7 enodes) 1539333338.577 * * [misc]simplify: iters left: 4 (10 enodes) 1539333338.581 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1539333338.581 * [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))))))) 1539333338.581 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1539333338.581 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1539333338.584 * * [misc]simplify: iters left: 5 (6 enodes) 1539333338.587 * * [misc]simplify: iters left: 4 (8 enodes) 1539333338.591 * * [misc]simplify: iters left: 3 (11 enodes) 1539333338.594 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1539333338.594 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1539333338.594 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1539333338.595 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.596 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.599 * * [misc]simplify: iters left: 5 (12 enodes) 1539333338.604 * * [misc]simplify: iters left: 4 (15 enodes) 1539333338.609 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.609 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.609 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1539333338.609 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.610 * * [misc]simplify: iters left: 6 (9 enodes) 1539333338.613 * * [misc]simplify: iters left: 5 (12 enodes) 1539333338.616 * * [misc]simplify: iters left: 4 (15 enodes) 1539333338.621 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1539333338.621 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333338.621 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1539333338.621 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1539333338.622 * * [misc]simplify: iters left: 5 (8 enodes) 1539333338.624 * * [misc]simplify: iters left: 4 (11 enodes) 1539333338.628 * * [misc]simplify: iters left: 3 (14 enodes) 1539333338.632 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1539333338.632 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333338.632 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1539333338.632 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333338.633 * * [misc]simplify: iters left: 4 (4 enodes) 1539333338.634 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1539333338.634 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1539333338.634 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1539333338.634 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1539333338.635 * * [misc]simplify: iters left: 2 (3 enodes) 1539333338.635 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1539333338.636 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1539333338.636 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1539333338.636 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1539333338.636 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333338.636 * * [misc]simplify: iters left: 3 (6 enodes) 1539333338.638 * * [misc]simplify: iters left: 2 (7 enodes) 1539333338.640 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333338.640 * [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)))))) 1539333338.640 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1539333338.640 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333338.642 * * [misc]simplify: iters left: 6 (15 enodes) 1539333338.647 * * [misc]simplify: iters left: 5 (25 enodes) 1539333338.657 * * [misc]simplify: iters left: 4 (40 enodes) 1539333338.674 * * [misc]simplify: iters left: 3 (65 enodes) 1539333338.702 * * [misc]simplify: iters left: 2 (99 enodes) 1539333338.746 * * [misc]simplify: iters left: 1 (139 enodes) 1539333338.840 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1539333338.840 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1))) 1539333338.840 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1539333338.840 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1539333338.840 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333338.841 * * [misc]simplify: iters left: 6 (17 enodes) 1539333338.846 * * [misc]simplify: iters left: 5 (34 enodes) 1539333338.856 * * [misc]simplify: iters left: 4 (81 enodes) 1539333338.890 * * [misc]simplify: iters left: 3 (262 enodes) 1539333339.231 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1539333339.231 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1539333339.231 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1539333339.231 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333339.233 * * [misc]simplify: iters left: 6 (17 enodes) 1539333339.243 * * [misc]simplify: iters left: 5 (34 enodes) 1539333339.262 * * [misc]simplify: iters left: 4 (81 enodes) 1539333339.326 * * [misc]simplify: iters left: 3 (262 enodes) 1539333339.632 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1539333339.632 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1539333339.632 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1539333339.633 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333339.635 * * [misc]simplify: iters left: 6 (17 enodes) 1539333339.642 * * [misc]simplify: iters left: 5 (32 enodes) 1539333339.657 * * [misc]simplify: iters left: 4 (69 enodes) 1539333339.698 * * [misc]simplify: iters left: 3 (185 enodes) 1539333339.919 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))))) 1539333339.919 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))))))) 1539333339.919 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1539333339.920 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333339.921 * * [misc]simplify: iters left: 6 (16 enodes) 1539333339.931 * * [misc]simplify: iters left: 5 (28 enodes) 1539333339.946 * * [misc]simplify: iters left: 4 (58 enodes) 1539333339.980 * * [misc]simplify: iters left: 3 (135 enodes) 1539333340.048 * * [misc]simplify: iters left: 2 (301 enodes) 1539333340.423 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2)))) 1539333340.423 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))))))) 1539333340.423 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1539333340.423 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333340.425 * * [misc]simplify: iters left: 6 (17 enodes) 1539333340.429 * * [misc]simplify: iters left: 5 (31 enodes) 1539333340.440 * * [misc]simplify: iters left: 4 (65 enodes) 1539333340.483 * * [misc]simplify: iters left: 3 (195 enodes) 1539333340.662 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1539333340.662 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1539333340.663 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1539333340.663 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333340.665 * * [misc]simplify: iters left: 6 (17 enodes) 1539333340.674 * * [misc]simplify: iters left: 5 (31 enodes) 1539333340.689 * * [misc]simplify: iters left: 4 (65 enodes) 1539333340.739 * * [misc]simplify: iters left: 3 (195 enodes) 1539333340.915 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1539333340.916 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1539333340.916 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1539333340.916 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333340.918 * * [misc]simplify: iters left: 6 (17 enodes) 1539333340.926 * * [misc]simplify: iters left: 5 (29 enodes) 1539333340.940 * * [misc]simplify: iters left: 4 (53 enodes) 1539333340.969 * * [misc]simplify: iters left: 3 (122 enodes) 1539333341.051 * * [misc]simplify: iters left: 2 (464 enodes) 1539333341.830 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k))) 1539333341.830 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1539333341.830 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1539333341.831 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333341.832 * * [misc]simplify: iters left: 6 (16 enodes) 1539333341.835 * * [misc]simplify: iters left: 5 (25 enodes) 1539333341.840 * * [misc]simplify: iters left: 4 (42 enodes) 1539333341.854 * * [misc]simplify: iters left: 3 (80 enodes) 1539333341.906 * * [misc]simplify: iters left: 2 (206 enodes) 1539333342.230 * [exit]simplify: Simplified to (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k))) 1539333342.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1539333342.230 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1539333342.230 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333342.231 * * [misc]simplify: iters left: 6 (18 enodes) 1539333342.237 * * [misc]simplify: iters left: 5 (36 enodes) 1539333342.245 * * [misc]simplify: iters left: 4 (68 enodes) 1539333342.270 * * [misc]simplify: iters left: 3 (199 enodes) 1539333342.475 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333342.476 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1539333342.476 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1539333342.476 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1539333342.477 * * [misc]simplify: iters left: 6 (18 enodes) 1539333342.482 * * [misc]simplify: iters left: 5 (36 enodes) 1539333342.491 * * [misc]simplify: iters left: 4 (68 enodes) 1539333342.532 * * [misc]simplify: iters left: 3 (199 enodes) 1539333342.703 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1539333342.703 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1539333342.703 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1539333342.703 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333342.705 * * [misc]simplify: iters left: 6 (18 enodes) 1539333342.713 * * [misc]simplify: iters left: 5 (34 enodes) 1539333342.726 * * [misc]simplify: iters left: 4 (56 enodes) 1539333342.755 * * [misc]simplify: iters left: 3 (124 enodes) 1539333342.858 * * [misc]simplify: iters left: 2 (458 enodes) 1539333344.097 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))))) 1539333344.097 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n)))))))) 1539333344.097 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1539333344.097 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333344.098 * * [misc]simplify: iters left: 6 (17 enodes) 1539333344.103 * * [misc]simplify: iters left: 5 (30 enodes) 1539333344.108 * * [misc]simplify: iters left: 4 (44 enodes) 1539333344.118 * * [misc]simplify: iters left: 3 (78 enodes) 1539333344.151 * * [misc]simplify: iters left: 2 (169 enodes) 1539333344.390 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1539333344.390 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1539333344.390 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1539333344.390 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1539333344.390 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1539333344.390 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 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)))))) 1539333344.392 * * [misc]simplify: iters left: 6 (21 enodes) 1539333344.399 * * [misc]simplify: iters left: 5 (47 enodes) 1539333344.427 * * [misc]simplify: iters left: 4 (148 enodes) 1539333344.582 * [exit]simplify: Simplified to (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1539333344.582 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1539333344.582 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1539333344.583 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 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)))))) 1539333344.584 * * [misc]simplify: iters left: 6 (19 enodes) 1539333344.591 * * [misc]simplify: iters left: 5 (43 enodes) 1539333344.607 * * [misc]simplify: iters left: 4 (121 enodes) 1539333344.690 * * [misc]simplify: iters left: 3 (306 enodes) 1539333345.103 * [exit]simplify: Simplified to (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1539333345.103 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1539333345.103 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1539333345.103 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1539333345.103 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1539333345.104 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1539333345.104 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1539333345.104 * * [misc]simplify: iters left: 3 (4 enodes) 1539333345.106 * * [misc]simplify: iters left: 2 (7 enodes) 1539333345.109 * * [misc]simplify: iters left: 1 (9 enodes) 1539333345.111 * [exit]simplify: Simplified to (sqrt k) 1539333345.112 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333345.112 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.113 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.118 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.123 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.130 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1539333345.130 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1539333345.130 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1539333345.130 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1539333345.130 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.131 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.136 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.141 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.147 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.147 * [misc]simplify: Simplified (2 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)))))))) 1539333345.147 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1539333345.148 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.149 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.153 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.158 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.164 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.164 * [misc]simplify: Simplified (2 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)))))))) 1539333345.164 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1539333345.164 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333345.166 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.169 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.174 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333345.174 * [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 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1539333345.174 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1539333345.174 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333345.175 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.181 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.186 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333345.186 * [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 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1539333345.186 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1539333345.186 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333345.187 * * [misc]simplify: iters left: 6 (9 enodes) 1539333345.190 * * [misc]simplify: iters left: 5 (11 enodes) 1539333345.194 * * [misc]simplify: iters left: 4 (14 enodes) 1539333345.197 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333345.197 * [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))))))) 1539333345.197 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1539333345.197 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.198 * * [misc]simplify: iters left: 6 (12 enodes) 1539333345.200 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.203 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.206 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.206 * [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)))))))) 1539333345.206 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1539333345.206 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.207 * * [misc]simplify: iters left: 6 (12 enodes) 1539333345.209 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.212 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.215 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.215 * [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)))))))) 1539333345.215 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1539333345.215 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.216 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.218 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.221 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.224 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.224 * [misc]simplify: Simplified (2 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))))))) 1539333345.224 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1539333345.224 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333345.225 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.226 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.229 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333345.229 * [misc]simplify: Simplified (2 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)))))) 1539333345.229 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1539333345.229 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1539333345.230 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.231 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.234 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1539333345.234 * [misc]simplify: Simplified (2 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)))))) 1539333345.234 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1539333345.234 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333345.235 * * [misc]simplify: iters left: 6 (9 enodes) 1539333345.236 * * [misc]simplify: iters left: 5 (11 enodes) 1539333345.238 * * [misc]simplify: iters left: 4 (14 enodes) 1539333345.241 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1539333345.241 * [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))))))) 1539333345.241 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1539333345.241 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.242 * * [misc]simplify: iters left: 6 (12 enodes) 1539333345.244 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.247 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.250 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.250 * [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)))))))) 1539333345.250 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1539333345.251 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.251 * * [misc]simplify: iters left: 6 (12 enodes) 1539333345.253 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.257 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.262 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.262 * [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)))))))) 1539333345.262 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1539333345.263 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.264 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.268 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.272 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.279 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.279 * [misc]simplify: Simplified (2 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))))))) 1539333345.279 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1539333345.279 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333345.280 * * [misc]simplify: iters left: 6 (9 enodes) 1539333345.283 * * [misc]simplify: iters left: 5 (12 enodes) 1539333345.288 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333345.288 * [misc]simplify: Simplified (2 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)))))) 1539333345.288 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1539333345.288 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1539333345.289 * * [misc]simplify: iters left: 6 (9 enodes) 1539333345.293 * * [misc]simplify: iters left: 5 (12 enodes) 1539333345.297 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1539333345.297 * [misc]simplify: Simplified (2 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)))))) 1539333345.297 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1539333345.297 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333345.298 * * [misc]simplify: iters left: 6 (8 enodes) 1539333345.301 * * [misc]simplify: iters left: 5 (10 enodes) 1539333345.305 * * [misc]simplify: iters left: 4 (13 enodes) 1539333345.310 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1539333345.310 * [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))))))) 1539333345.310 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1539333345.310 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.311 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.315 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.320 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.325 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.325 * [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)))))))) 1539333345.325 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1539333345.326 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.327 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.330 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.335 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.340 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.340 * [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)))))))) 1539333345.340 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1539333345.340 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.341 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.344 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.348 * * [misc]simplify: iters left: 4 (16 enodes) 1539333345.353 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.353 * [misc]simplify: Simplified (2 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))))))) 1539333345.353 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1539333345.354 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.354 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.357 * * [misc]simplify: iters left: 5 (13 enodes) 1539333345.359 * * [misc]simplify: iters left: 4 (16 enodes) 1539333345.361 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.362 * [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))))))) 1539333345.362 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1539333345.362 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.362 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.364 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.366 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.369 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1539333345.369 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1539333345.369 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1539333345.370 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1539333345.370 * * [misc]simplify: iters left: 3 (6 enodes) 1539333345.371 * * [misc]simplify: iters left: 2 (7 enodes) 1539333345.372 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1539333345.372 * [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))))) 1539333345.372 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1539333345.372 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1539333345.374 * * [misc]simplify: iters left: 6 (11 enodes) 1539333345.376 * * [misc]simplify: iters left: 5 (15 enodes) 1539333345.379 * * [misc]simplify: iters left: 4 (18 enodes) 1539333345.382 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1539333345.382 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333345.382 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1539333345.382 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1539333345.383 * * [misc]simplify: iters left: 6 (10 enodes) 1539333345.385 * * [misc]simplify: iters left: 5 (14 enodes) 1539333345.387 * * [misc]simplify: iters left: 4 (17 enodes) 1539333345.390 * [exit]simplify: Simplified to (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1539333345.390 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333345.390 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1539333345.390 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1539333345.390 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1539333345.390 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1539333345.390 * * [misc]simplify: iters left: 3 (5 enodes) 1539333345.391 * * [misc]simplify: iters left: 2 (8 enodes) 1539333345.393 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1539333345.393 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt PI)) (* (pow PI (/ k 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1539333345.393 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1539333345.393 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1539333345.393 * * [misc]simplify: iters left: 5 (8 enodes) 1539333345.395 * * [misc]simplify: iters left: 4 (11 enodes) 1539333345.398 * * [misc]simplify: iters left: 3 (14 enodes) 1539333345.403 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1539333345.403 * [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)))))) 1539333345.403 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1539333345.403 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1539333345.404 * * [misc]simplify: iters left: 6 (12 enodes) 1539333345.409 * * [misc]simplify: iters left: 5 (20 enodes) 1539333345.416 * * [misc]simplify: iters left: 4 (30 enodes) 1539333345.424 * * [misc]simplify: iters left: 3 (33 enodes) 1539333345.433 * * [misc]simplify: iters left: 2 (39 enodes) 1539333345.444 * * [misc]simplify: iters left: 1 (52 enodes) 1539333345.462 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1539333345.462 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1539333345.462 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1539333345.462 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1539333345.462 * [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))))) 1539333345.466 * * [misc]simplify: iters left: 6 (35 enodes) 1539333345.490 * * [misc]simplify: iters left: 5 (99 enodes) 1539333345.550 * * [misc]simplify: iters left: 4 (298 enodes) 1539333345.912 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1539333345.912 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))))))) 1539333345.912 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1539333345.913 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1539333345.914 * * [misc]simplify: iters left: 6 (13 enodes) 1539333345.922 * * [misc]simplify: iters left: 5 (27 enodes) 1539333345.934 * * [misc]simplify: iters left: 4 (53 enodes) 1539333345.962 * * [misc]simplify: iters left: 3 (116 enodes) 1539333346.022 * * [misc]simplify: iters left: 2 (362 enodes) 1539333346.392 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1539333346.392 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k)))))) 1539333346.392 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1539333346.392 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1539333346.394 * * [misc]simplify: iters left: 6 (13 enodes) 1539333346.402 * * [misc]simplify: iters left: 5 (24 enodes) 1539333346.417 * * [misc]simplify: iters left: 4 (54 enodes) 1539333346.450 * * [misc]simplify: iters left: 3 (143 enodes) 1539333346.597 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1539333346.597 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1539333346.597 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1539333346.597 * [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)))) 1539333346.600 * * [misc]simplify: iters left: 6 (18 enodes) 1539333346.609 * * [misc]simplify: iters left: 5 (39 enodes) 1539333346.634 * * [misc]simplify: iters left: 4 (104 enodes) 1539333346.682 * * [misc]simplify: iters left: 3 (275 enodes) 1539333346.930 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1539333346.930 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333346.931 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1539333346.931 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1539333346.931 * * [misc]simplify: iters left: 5 (6 enodes) 1539333346.932 * * [misc]simplify: iters left: 4 (9 enodes) 1539333346.935 * * [misc]simplify: iters left: 3 (17 enodes) 1539333346.938 * * [misc]simplify: iters left: 2 (20 enodes) 1539333346.940 * * [misc]simplify: iters left: 1 (24 enodes) 1539333346.947 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1539333346.947 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333346.947 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1539333346.947 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1539333346.947 * * [misc]simplify: iters left: 5 (6 enodes) 1539333346.948 * * [misc]simplify: iters left: 4 (9 enodes) 1539333346.951 * * [misc]simplify: iters left: 3 (17 enodes) 1539333346.953 * * [misc]simplify: iters left: 2 (20 enodes) 1539333346.956 * * [misc]simplify: iters left: 1 (24 enodes) 1539333346.962 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1539333346.962 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1539333346.962 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1539333346.963 * [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)))))))))))) 1539333346.963 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1539333346.963 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1539333346.963 * [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))))))))))) 1539333346.963 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1539333346.963 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1539333346.963 * [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))))))))) 1539333346.963 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1539333346.963 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1539333346.963 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1539333346.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333346.963 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1539333346.963 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1539333346.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333346.964 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1539333346.964 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k)))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1539333346.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1539333346.964 * * * [misc]progress: adding candidates to table 1539333350.321 * [misc]progress: [Phase 3 of 3] Extracting. 1539333350.321 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1539333350.327 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1539333350.327 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1539333350.439 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1539333350.546 * * * [misc]regime: Found split indices: #