1544780258.726 * [misc]progress: [Phase 1 of 3] Setting up. 1544780258.726 * * * [misc]progress: [1/2] Preparing points 1544780258.726 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544780258.833 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780258.834 * * * * [misc]points: Sampling 184 additional inputs, on iter 1 have 72 / 256 1544780258.891 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780258.891 * * * * [misc]points: Sampling 139 additional inputs, on iter 2 have 117 / 256 1544780258.976 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780258.976 * * * * [misc]points: Sampling 115 additional inputs, on iter 3 have 141 / 256 1544780259.010 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.010 * * * * [misc]points: Sampling 88 additional inputs, on iter 4 have 168 / 256 1544780259.037 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.037 * * * * [misc]points: Sampling 60 additional inputs, on iter 5 have 196 / 256 1544780259.098 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.098 * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 1544780259.122 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.122 * * * * [misc]points: Sampling 33 additional inputs, on iter 7 have 223 / 256 1544780259.141 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.141 * * * * [misc]points: Sampling 31 additional inputs, on iter 8 have 225 / 256 1544780259.160 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.160 * * * * [misc]points: Sampling 21 additional inputs, on iter 9 have 235 / 256 1544780259.175 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.175 * * * * [misc]points: Sampling 15 additional inputs, on iter 10 have 241 / 256 1544780259.186 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.186 * * * * [misc]points: Sampling 12 additional inputs, on iter 11 have 244 / 256 1544780259.196 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.196 * * * * [misc]points: Sampling 6 additional inputs, on iter 12 have 250 / 256 1544780259.204 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.204 * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 252 / 256 1544780259.210 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.210 * * * * [misc]points: Sampling 4 additional inputs, on iter 14 have 252 / 256 1544780259.217 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.217 * * * * [misc]points: Sampling 4 additional inputs, on iter 15 have 254 / 256 1544780259.223 * * * * [misc]points: Filtering points with unrepresentable outputs 1544780259.223 * * * * [exit]points: Sampled 256 points with exact outputs 1544780259.223 * * * [misc]progress: [2/2] Setting up program. 1544780259.235 * [misc]progress: [Phase 2 of 3] Improving. 1544780259.235 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544780259.237 * * [misc]simplify: iters left: 6 (13 enodes) 1544780259.274 * * [misc]simplify: iters left: 5 (28 enodes) 1544780259.288 * * [misc]simplify: iters left: 4 (44 enodes) 1544780259.302 * * [misc]simplify: iters left: 3 (54 enodes) 1544780259.309 * * [misc]simplify: iters left: 2 (57 enodes) 1544780259.316 * * [misc]simplify: iters left: 1 (65 enodes) 1544780259.327 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544780259.338 * * [misc]progress: iteration 1 / 4 1544780259.338 * * * [misc]progress: picking best candidate 1544780259.351 * * * * [misc]pick: Picked # 1544780259.351 * * * [misc]progress: localizing error 1544780259.407 * * * [misc]progress: generating rewritten candidates 1544780259.407 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544780259.426 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1544780259.438 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1544780259.484 * * * [misc]progress: generating series expansions 1544780259.484 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544780259.485 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544780259.485 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544780259.485 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.485 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.485 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.485 * [misc]taylor: Taking taylor expansion of k in k 1544780259.485 * [misc]backup-simplify: Simplify 0 into 0 1544780259.485 * [misc]backup-simplify: Simplify 1 into 1 1544780259.485 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.485 * [misc]backup-simplify: Simplify 2 into 2 1544780259.485 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544780259.485 * [misc]taylor: Taking taylor expansion of n in k 1544780259.485 * [misc]backup-simplify: Simplify n into n 1544780259.485 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.485 * [misc]backup-simplify: Simplify PI into PI 1544780259.485 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544780259.485 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544780259.485 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544780259.486 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780259.486 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.486 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.486 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544780259.486 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544780259.486 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.486 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.486 * [misc]taylor: Taking taylor expansion of k in n 1544780259.486 * [misc]backup-simplify: Simplify k into k 1544780259.486 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.486 * [misc]backup-simplify: Simplify 2 into 2 1544780259.486 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.486 * [misc]taylor: Taking taylor expansion of n in n 1544780259.486 * [misc]backup-simplify: Simplify 0 into 0 1544780259.486 * [misc]backup-simplify: Simplify 1 into 1 1544780259.486 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.486 * [misc]backup-simplify: Simplify PI into PI 1544780259.487 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780259.487 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780259.487 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780259.488 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780259.488 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.488 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780259.488 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780259.488 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780259.489 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.489 * [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)))) 1544780259.490 * [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))))) 1544780259.490 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.490 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.490 * [misc]taylor: Taking taylor expansion of k in n 1544780259.490 * [misc]backup-simplify: Simplify k into k 1544780259.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.490 * [misc]backup-simplify: Simplify 2 into 2 1544780259.490 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.490 * [misc]taylor: Taking taylor expansion of n in n 1544780259.490 * [misc]backup-simplify: Simplify 0 into 0 1544780259.490 * [misc]backup-simplify: Simplify 1 into 1 1544780259.490 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.490 * [misc]backup-simplify: Simplify PI into PI 1544780259.490 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780259.490 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780259.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780259.491 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780259.491 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.492 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780259.492 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780259.492 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780259.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.493 * [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)))) 1544780259.493 * [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))))) 1544780259.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.493 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.493 * [misc]taylor: Taking taylor expansion of k in k 1544780259.493 * [misc]backup-simplify: Simplify 0 into 0 1544780259.493 * [misc]backup-simplify: Simplify 1 into 1 1544780259.493 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of n in k 1544780259.493 * [misc]backup-simplify: Simplify n into n 1544780259.493 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.493 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780259.493 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.493 * [misc]backup-simplify: Simplify 2 into 2 1544780259.493 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.493 * [misc]backup-simplify: Simplify PI into PI 1544780259.494 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.494 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.494 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780259.494 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.494 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.495 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.495 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544780259.496 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544780259.496 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544780259.497 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780259.498 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780259.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.500 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544780259.500 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.501 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.501 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544780259.502 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.502 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.502 * [misc]backup-simplify: Simplify 0 into 0 1544780259.502 * [misc]backup-simplify: Simplify 0 into 0 1544780259.503 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780259.503 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780259.505 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.506 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780259.506 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.506 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.506 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544780259.507 * [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))))))) 1544780259.508 * [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))))))) 1544780259.510 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.511 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544780259.514 * [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 1544780259.514 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544780259.514 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.514 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.515 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.515 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780259.517 * [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 1544780259.517 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.517 * [misc]backup-simplify: Simplify 0 into 0 1544780259.517 * [misc]backup-simplify: Simplify 0 into 0 1544780259.517 * [misc]backup-simplify: Simplify 0 into 0 1544780259.518 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780259.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.522 * [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 1544780259.522 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.522 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780259.523 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.523 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780259.527 * [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))))) 1544780259.531 * [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))))) 1544780259.540 * [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))))) 1544780259.541 * [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)))) 1544780259.541 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544780259.541 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.541 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of k in k 1544780259.541 * [misc]backup-simplify: Simplify 0 into 0 1544780259.541 * [misc]backup-simplify: Simplify 1 into 1 1544780259.541 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.541 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544780259.541 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.541 * [misc]backup-simplify: Simplify 2 into 2 1544780259.542 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780259.542 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.542 * [misc]backup-simplify: Simplify PI into PI 1544780259.542 * [misc]taylor: Taking taylor expansion of n in k 1544780259.542 * [misc]backup-simplify: Simplify n into n 1544780259.542 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780259.542 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544780259.542 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544780259.542 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.542 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.543 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.543 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544780259.543 * [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)))) 1544780259.543 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780259.543 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780259.543 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780259.543 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780259.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.544 * [misc]taylor: Taking taylor expansion of k in n 1544780259.544 * [misc]backup-simplify: Simplify k into k 1544780259.544 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.544 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780259.544 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.544 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.544 * [misc]backup-simplify: Simplify 2 into 2 1544780259.544 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.544 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.544 * [misc]backup-simplify: Simplify PI into PI 1544780259.544 * [misc]taylor: Taking taylor expansion of n in n 1544780259.544 * [misc]backup-simplify: Simplify 0 into 0 1544780259.544 * [misc]backup-simplify: Simplify 1 into 1 1544780259.544 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.545 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.545 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.545 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.545 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780259.546 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780259.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.547 * [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))) 1544780259.548 * [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)))) 1544780259.548 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of k in n 1544780259.548 * [misc]backup-simplify: Simplify k into k 1544780259.548 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.548 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.548 * [misc]backup-simplify: Simplify 2 into 2 1544780259.548 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.548 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.549 * [misc]backup-simplify: Simplify PI into PI 1544780259.549 * [misc]taylor: Taking taylor expansion of n in n 1544780259.549 * [misc]backup-simplify: Simplify 0 into 0 1544780259.549 * [misc]backup-simplify: Simplify 1 into 1 1544780259.549 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.549 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.550 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.550 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.550 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780259.550 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780259.551 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.552 * [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))) 1544780259.552 * [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)))) 1544780259.553 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.553 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.553 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of k in k 1544780259.553 * [misc]backup-simplify: Simplify 0 into 0 1544780259.553 * [misc]backup-simplify: Simplify 1 into 1 1544780259.553 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.553 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780259.553 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.554 * [misc]backup-simplify: Simplify 2 into 2 1544780259.554 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.554 * [misc]backup-simplify: Simplify PI into PI 1544780259.554 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.555 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.555 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.555 * [misc]taylor: Taking taylor expansion of n in k 1544780259.555 * [misc]backup-simplify: Simplify n into n 1544780259.555 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.555 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.555 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.555 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.555 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780259.556 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544780259.557 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544780259.557 * [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)))) 1544780259.558 * [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)))) 1544780259.559 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.560 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780259.563 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.564 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.564 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780259.564 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.565 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.566 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544780259.567 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.568 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.568 * [misc]backup-simplify: Simplify 0 into 0 1544780259.568 * [misc]backup-simplify: Simplify 0 into 0 1544780259.568 * [misc]backup-simplify: Simplify 0 into 0 1544780259.569 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.570 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.579 * [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 1544780259.579 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780259.580 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.580 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.581 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.581 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544780259.584 * [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 1544780259.584 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.584 * [misc]backup-simplify: Simplify 0 into 0 1544780259.584 * [misc]backup-simplify: Simplify 0 into 0 1544780259.584 * [misc]backup-simplify: Simplify 0 into 0 1544780259.584 * [misc]backup-simplify: Simplify 0 into 0 1544780259.586 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.587 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.597 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1544780259.597 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780259.598 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.599 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.600 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544780259.604 * [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 1544780259.604 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.604 * [misc]backup-simplify: Simplify 0 into 0 1544780259.604 * [misc]backup-simplify: Simplify 0 into 0 1544780259.604 * [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))))) 1544780259.605 * [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)) 1544780259.605 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544780259.605 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.605 * [misc]taylor: Taking taylor expansion of k in k 1544780259.605 * [misc]backup-simplify: Simplify 0 into 0 1544780259.605 * [misc]backup-simplify: Simplify 1 into 1 1544780259.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.605 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544780259.606 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544780259.606 * [misc]taylor: Taking taylor expansion of -2 in k 1544780259.606 * [misc]backup-simplify: Simplify -2 into -2 1544780259.606 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780259.606 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.606 * [misc]backup-simplify: Simplify PI into PI 1544780259.606 * [misc]taylor: Taking taylor expansion of n in k 1544780259.606 * [misc]backup-simplify: Simplify n into n 1544780259.606 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780259.606 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544780259.606 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544780259.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.607 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.607 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544780259.607 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) 1544780259.608 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.608 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of k in n 1544780259.608 * [misc]backup-simplify: Simplify k into k 1544780259.608 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.608 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.608 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.608 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.608 * [misc]backup-simplify: Simplify -2 into -2 1544780259.608 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.608 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.608 * [misc]backup-simplify: Simplify PI into PI 1544780259.608 * [misc]taylor: Taking taylor expansion of n in n 1544780259.608 * [misc]backup-simplify: Simplify 0 into 0 1544780259.608 * [misc]backup-simplify: Simplify 1 into 1 1544780259.609 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.609 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.610 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.610 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.610 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780259.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.611 * [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))) 1544780259.612 * [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)))) 1544780259.612 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of k in n 1544780259.612 * [misc]backup-simplify: Simplify k into k 1544780259.612 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.612 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.612 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.613 * [misc]backup-simplify: Simplify -2 into -2 1544780259.613 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.613 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.613 * [misc]backup-simplify: Simplify PI into PI 1544780259.613 * [misc]taylor: Taking taylor expansion of n in n 1544780259.613 * [misc]backup-simplify: Simplify 0 into 0 1544780259.613 * [misc]backup-simplify: Simplify 1 into 1 1544780259.613 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.614 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.614 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.614 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780259.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.615 * [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))) 1544780259.616 * [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)))) 1544780259.616 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544780259.616 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544780259.616 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780259.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.616 * [misc]taylor: Taking taylor expansion of k in k 1544780259.617 * [misc]backup-simplify: Simplify 0 into 0 1544780259.617 * [misc]backup-simplify: Simplify 1 into 1 1544780259.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.617 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.617 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544780259.617 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544780259.617 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544780259.617 * [misc]taylor: Taking taylor expansion of -2 in k 1544780259.617 * [misc]backup-simplify: Simplify -2 into -2 1544780259.617 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.617 * [misc]backup-simplify: Simplify PI into PI 1544780259.617 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.618 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.618 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.618 * [misc]taylor: Taking taylor expansion of n in k 1544780259.618 * [misc]backup-simplify: Simplify n into n 1544780259.618 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.618 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.618 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.618 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780259.619 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544780259.620 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544780259.620 * [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)))) 1544780259.621 * [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)))) 1544780259.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.623 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780259.626 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544780259.626 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780259.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.628 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.628 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544780259.630 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.630 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.630 * [misc]backup-simplify: Simplify 0 into 0 1544780259.630 * [misc]backup-simplify: Simplify 0 into 0 1544780259.630 * [misc]backup-simplify: Simplify 0 into 0 1544780259.632 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.633 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.639 * [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 1544780259.639 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780259.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.641 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544780259.644 * [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 1544780259.644 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.644 * [misc]backup-simplify: Simplify 0 into 0 1544780259.644 * [misc]backup-simplify: Simplify 0 into 0 1544780259.644 * [misc]backup-simplify: Simplify 0 into 0 1544780259.644 * [misc]backup-simplify: Simplify 0 into 0 1544780259.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.648 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.657 * [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 1544780259.657 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.658 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780259.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.659 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.660 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544780259.664 * [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 1544780259.664 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.664 * [misc]backup-simplify: Simplify 0 into 0 1544780259.664 * [misc]backup-simplify: Simplify 0 into 0 1544780259.665 * [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))))) 1544780259.665 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1544780259.665 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544780259.666 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544780259.666 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.666 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.666 * [misc]backup-simplify: Simplify 2 into 2 1544780259.666 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.666 * [misc]taylor: Taking taylor expansion of n in n 1544780259.666 * [misc]backup-simplify: Simplify 0 into 0 1544780259.666 * [misc]backup-simplify: Simplify 1 into 1 1544780259.666 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.666 * [misc]backup-simplify: Simplify PI into PI 1544780259.666 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.666 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.666 * [misc]backup-simplify: Simplify 2 into 2 1544780259.666 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.666 * [misc]taylor: Taking taylor expansion of n in n 1544780259.666 * [misc]backup-simplify: Simplify 0 into 0 1544780259.666 * [misc]backup-simplify: Simplify 1 into 1 1544780259.666 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.666 * [misc]backup-simplify: Simplify PI into PI 1544780259.666 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780259.667 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780259.667 * [misc]backup-simplify: Simplify 0 into 0 1544780259.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780259.669 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780259.669 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.670 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780259.671 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780259.671 * [misc]backup-simplify: Simplify 0 into 0 1544780259.673 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544780259.675 * [misc]backup-simplify: Simplify 0 into 0 1544780259.676 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780259.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544780259.677 * [misc]backup-simplify: Simplify 0 into 0 1544780259.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780259.681 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544780259.681 * [misc]backup-simplify: Simplify 0 into 0 1544780259.683 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780259.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544780259.685 * [misc]backup-simplify: Simplify 0 into 0 1544780259.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544780259.690 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544780259.690 * [misc]backup-simplify: Simplify 0 into 0 1544780259.690 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544780259.690 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544780259.690 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544780259.690 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.690 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.690 * [misc]backup-simplify: Simplify 2 into 2 1544780259.690 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.690 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.690 * [misc]backup-simplify: Simplify PI into PI 1544780259.690 * [misc]taylor: Taking taylor expansion of n in n 1544780259.690 * [misc]backup-simplify: Simplify 0 into 0 1544780259.690 * [misc]backup-simplify: Simplify 1 into 1 1544780259.691 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.691 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.691 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.691 * [misc]backup-simplify: Simplify 2 into 2 1544780259.691 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.691 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.691 * [misc]backup-simplify: Simplify PI into PI 1544780259.691 * [misc]taylor: Taking taylor expansion of n in n 1544780259.691 * [misc]backup-simplify: Simplify 0 into 0 1544780259.691 * [misc]backup-simplify: Simplify 1 into 1 1544780259.691 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.691 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.691 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.692 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780259.693 * [misc]backup-simplify: Simplify 0 into 0 1544780259.693 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.694 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.694 * [misc]backup-simplify: Simplify 0 into 0 1544780259.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.696 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.696 * [misc]backup-simplify: Simplify 0 into 0 1544780259.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.699 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780259.699 * [misc]backup-simplify: Simplify 0 into 0 1544780259.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.702 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780259.702 * [misc]backup-simplify: Simplify 0 into 0 1544780259.704 * [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 1544780259.706 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780259.706 * [misc]backup-simplify: Simplify 0 into 0 1544780259.706 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544780259.707 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544780259.707 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544780259.707 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.707 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.707 * [misc]backup-simplify: Simplify -2 into -2 1544780259.707 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.707 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.707 * [misc]backup-simplify: Simplify PI into PI 1544780259.707 * [misc]taylor: Taking taylor expansion of n in n 1544780259.707 * [misc]backup-simplify: Simplify 0 into 0 1544780259.707 * [misc]backup-simplify: Simplify 1 into 1 1544780259.707 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.707 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.707 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.707 * [misc]backup-simplify: Simplify -2 into -2 1544780259.707 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.707 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.707 * [misc]backup-simplify: Simplify PI into PI 1544780259.707 * [misc]taylor: Taking taylor expansion of n in n 1544780259.707 * [misc]backup-simplify: Simplify 0 into 0 1544780259.707 * [misc]backup-simplify: Simplify 1 into 1 1544780259.707 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.708 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.708 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.709 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.710 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780259.710 * [misc]backup-simplify: Simplify 0 into 0 1544780259.712 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.713 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.713 * [misc]backup-simplify: Simplify 0 into 0 1544780259.714 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.716 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.716 * [misc]backup-simplify: Simplify 0 into 0 1544780259.718 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.720 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780259.720 * [misc]backup-simplify: Simplify 0 into 0 1544780259.723 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.726 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780259.726 * [misc]backup-simplify: Simplify 0 into 0 1544780259.729 * [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 1544780259.732 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780259.733 * [misc]backup-simplify: Simplify 0 into 0 1544780259.733 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544780259.733 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1544780259.734 * [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)))) 1544780259.734 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544780259.734 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544780259.734 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780259.734 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.734 * [misc]taylor: Taking taylor expansion of k in k 1544780259.734 * [misc]backup-simplify: Simplify 0 into 0 1544780259.734 * [misc]backup-simplify: Simplify 1 into 1 1544780259.734 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.735 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.735 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780259.735 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.735 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.735 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.735 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.735 * [misc]taylor: Taking taylor expansion of k in k 1544780259.735 * [misc]backup-simplify: Simplify 0 into 0 1544780259.735 * [misc]backup-simplify: Simplify 1 into 1 1544780259.735 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544780259.735 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.735 * [misc]backup-simplify: Simplify 2 into 2 1544780259.735 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544780259.736 * [misc]taylor: Taking taylor expansion of n in k 1544780259.736 * [misc]backup-simplify: Simplify n into n 1544780259.736 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.736 * [misc]backup-simplify: Simplify PI into PI 1544780259.736 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544780259.736 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544780259.736 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544780259.736 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780259.736 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.736 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.737 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544780259.737 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544780259.737 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544780259.737 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780259.737 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.737 * [misc]taylor: Taking taylor expansion of k in n 1544780259.737 * [misc]backup-simplify: Simplify k into k 1544780259.737 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.737 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780259.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.737 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780259.737 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544780259.737 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.738 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.738 * [misc]taylor: Taking taylor expansion of k in n 1544780259.738 * [misc]backup-simplify: Simplify k into k 1544780259.738 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.738 * [misc]backup-simplify: Simplify 2 into 2 1544780259.738 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.738 * [misc]taylor: Taking taylor expansion of n in n 1544780259.738 * [misc]backup-simplify: Simplify 0 into 0 1544780259.738 * [misc]backup-simplify: Simplify 1 into 1 1544780259.738 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.738 * [misc]backup-simplify: Simplify PI into PI 1544780259.738 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780259.738 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780259.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780259.740 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780259.740 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.740 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780259.741 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780259.741 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780259.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.742 * [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)))) 1544780259.743 * [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))))) 1544780259.743 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544780259.743 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780259.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.743 * [misc]taylor: Taking taylor expansion of k in n 1544780259.743 * [misc]backup-simplify: Simplify k into k 1544780259.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.743 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780259.743 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.743 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780259.743 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544780259.743 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.744 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.744 * [misc]taylor: Taking taylor expansion of k in n 1544780259.744 * [misc]backup-simplify: Simplify k into k 1544780259.744 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.744 * [misc]backup-simplify: Simplify 2 into 2 1544780259.744 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780259.744 * [misc]taylor: Taking taylor expansion of n in n 1544780259.744 * [misc]backup-simplify: Simplify 0 into 0 1544780259.744 * [misc]backup-simplify: Simplify 1 into 1 1544780259.744 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.744 * [misc]backup-simplify: Simplify PI into PI 1544780259.744 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780259.744 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780259.745 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780259.746 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780259.746 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.746 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780259.747 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780259.747 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780259.747 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.748 * [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)))) 1544780259.749 * [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))))) 1544780259.750 * [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))) 1544780259.750 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.750 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.750 * [misc]taylor: Taking taylor expansion of k in k 1544780259.750 * [misc]backup-simplify: Simplify 0 into 0 1544780259.750 * [misc]backup-simplify: Simplify 1 into 1 1544780259.750 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of n in k 1544780259.750 * [misc]backup-simplify: Simplify n into n 1544780259.750 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.750 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780259.750 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.750 * [misc]backup-simplify: Simplify 2 into 2 1544780259.750 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.750 * [misc]backup-simplify: Simplify PI into PI 1544780259.751 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.751 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.751 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780259.752 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.752 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.752 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.753 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544780259.754 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544780259.754 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780259.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.754 * [misc]taylor: Taking taylor expansion of k in k 1544780259.754 * [misc]backup-simplify: Simplify 0 into 0 1544780259.754 * [misc]backup-simplify: Simplify 1 into 1 1544780259.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.754 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.754 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780259.755 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544780259.755 * [misc]backup-simplify: Simplify 0 into 0 1544780259.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780259.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780259.761 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.761 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544780259.761 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.761 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.763 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544780259.764 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.765 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544780259.765 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.765 * [misc]backup-simplify: Simplify 0 into 0 1544780259.766 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780259.767 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780259.770 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.770 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.770 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780259.771 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.771 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544780259.774 * [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))))))) 1544780259.776 * [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))))))) 1544780259.777 * [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))))))) 1544780259.779 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.781 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544780259.787 * [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 1544780259.787 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544780259.787 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.787 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.788 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.789 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780259.791 * [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 1544780259.792 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.793 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544780259.794 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544780259.794 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.794 * [misc]backup-simplify: Simplify 0 into 0 1544780259.794 * [misc]backup-simplify: Simplify 0 into 0 1544780259.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780259.795 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780259.797 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780259.798 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.804 * [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 1544780259.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.805 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780259.805 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780259.810 * [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))))) 1544780259.817 * [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)))))))) 1544780259.820 * [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)))))))) 1544780259.823 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780259.825 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544780259.835 * [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 1544780259.835 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544780259.835 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.836 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.836 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780259.837 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544780259.841 * [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 1544780259.841 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.842 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544780259.843 * [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 1544780259.843 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.843 * [misc]backup-simplify: Simplify 0 into 0 1544780259.843 * [misc]backup-simplify: Simplify 0 into 0 1544780259.843 * [misc]backup-simplify: Simplify 0 into 0 1544780259.844 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.845 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780259.848 * [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 1544780259.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.861 * [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 1544780259.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780259.862 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.863 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544780259.870 * [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))))))) 1544780259.887 * [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)))))))))))))) 1544780259.894 * [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)))))))))))))) 1544780259.905 * [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)))))))))))))))))))))) 1544780259.905 * [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))))) 1544780259.905 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544780259.905 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544780259.905 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780259.905 * [misc]taylor: Taking taylor expansion of k in k 1544780259.905 * [misc]backup-simplify: Simplify 0 into 0 1544780259.905 * [misc]backup-simplify: Simplify 1 into 1 1544780259.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.906 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780259.906 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of k in k 1544780259.906 * [misc]backup-simplify: Simplify 0 into 0 1544780259.906 * [misc]backup-simplify: Simplify 1 into 1 1544780259.906 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.906 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.906 * [misc]backup-simplify: Simplify 2 into 2 1544780259.906 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780259.906 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.906 * [misc]backup-simplify: Simplify PI into PI 1544780259.906 * [misc]taylor: Taking taylor expansion of n in k 1544780259.906 * [misc]backup-simplify: Simplify n into n 1544780259.906 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780259.906 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544780259.906 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544780259.907 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.907 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.907 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.907 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544780259.907 * [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)))) 1544780259.907 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of k in n 1544780259.907 * [misc]backup-simplify: Simplify k into k 1544780259.907 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780259.907 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780259.907 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.907 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of k in n 1544780259.907 * [misc]backup-simplify: Simplify k into k 1544780259.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.907 * [misc]backup-simplify: Simplify 2 into 2 1544780259.907 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.907 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.908 * [misc]backup-simplify: Simplify PI into PI 1544780259.908 * [misc]taylor: Taking taylor expansion of n in n 1544780259.908 * [misc]backup-simplify: Simplify 0 into 0 1544780259.908 * [misc]backup-simplify: Simplify 1 into 1 1544780259.908 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.908 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.908 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.908 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.908 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780259.908 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780259.909 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.909 * [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))) 1544780259.910 * [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)))) 1544780259.910 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of k in n 1544780259.910 * [misc]backup-simplify: Simplify k into k 1544780259.910 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780259.910 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780259.910 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.910 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.910 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.910 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of k in n 1544780259.910 * [misc]backup-simplify: Simplify k into k 1544780259.910 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.910 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of 2 in n 1544780259.910 * [misc]backup-simplify: Simplify 2 into 2 1544780259.910 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.910 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.910 * [misc]backup-simplify: Simplify PI into PI 1544780259.910 * [misc]taylor: Taking taylor expansion of n in n 1544780259.910 * [misc]backup-simplify: Simplify 0 into 0 1544780259.910 * [misc]backup-simplify: Simplify 1 into 1 1544780259.911 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.911 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.911 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.911 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.911 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780259.911 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780259.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.912 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) 1544780259.913 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 1544780259.913 * [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)) 1544780259.913 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.913 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.913 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.913 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.913 * [misc]taylor: Taking taylor expansion of k in k 1544780259.913 * [misc]backup-simplify: Simplify 0 into 0 1544780259.913 * [misc]backup-simplify: Simplify 1 into 1 1544780259.914 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.914 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544780259.914 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780259.914 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780259.914 * [misc]taylor: Taking taylor expansion of 2 in k 1544780259.914 * [misc]backup-simplify: Simplify 2 into 2 1544780259.914 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.914 * [misc]backup-simplify: Simplify PI into PI 1544780259.914 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780259.914 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780259.914 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.914 * [misc]taylor: Taking taylor expansion of n in k 1544780259.914 * [misc]backup-simplify: Simplify n into n 1544780259.914 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.914 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.914 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780259.915 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780259.915 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780259.915 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544780259.915 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544780259.916 * [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)))) 1544780259.916 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780259.916 * [misc]taylor: Taking taylor expansion of k in k 1544780259.916 * [misc]backup-simplify: Simplify 0 into 0 1544780259.916 * [misc]backup-simplify: Simplify 1 into 1 1544780259.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.916 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780259.917 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544780259.917 * [misc]backup-simplify: Simplify 0 into 0 1544780259.918 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.918 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780259.920 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780259.920 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780259.920 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.920 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.921 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544780259.922 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.923 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544780259.923 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.923 * [misc]backup-simplify: Simplify 0 into 0 1544780259.923 * [misc]backup-simplify: Simplify 0 into 0 1544780259.924 * [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)))))) 1544780259.925 * [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)))))) 1544780259.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.927 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.933 * [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 1544780259.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.934 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780259.934 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.934 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.935 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.936 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544780259.939 * [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 1544780259.939 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544780259.940 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544780259.940 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.940 * [misc]backup-simplify: Simplify 0 into 0 1544780259.941 * [misc]backup-simplify: Simplify 0 into 0 1544780259.941 * [misc]backup-simplify: Simplify 0 into 0 1544780259.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780259.943 * [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)))))) 1544780259.944 * [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)))))) 1544780259.945 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.947 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780259.956 * [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 1544780259.956 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780259.957 * [misc]backup-simplify: Simplify (- 0) into 0 1544780259.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.957 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780259.958 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544780259.960 * [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 1544780259.960 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544780259.961 * [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 1544780259.961 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.961 * [misc]backup-simplify: Simplify 0 into 0 1544780259.961 * [misc]backup-simplify: Simplify 0 into 0 1544780259.961 * [misc]backup-simplify: Simplify 0 into 0 1544780259.961 * [misc]backup-simplify: Simplify 0 into 0 1544780259.962 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780259.964 * [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)))))) 1544780259.965 * [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)))))) 1544780259.967 * [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)))))))) 1544780259.967 * [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))) 1544780259.967 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544780259.967 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of k in k 1544780259.967 * [misc]backup-simplify: Simplify 0 into 0 1544780259.967 * [misc]backup-simplify: Simplify 1 into 1 1544780259.967 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.967 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.967 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of -2 in k 1544780259.967 * [misc]backup-simplify: Simplify -2 into -2 1544780259.967 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780259.967 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.968 * [misc]backup-simplify: Simplify PI into PI 1544780259.968 * [misc]taylor: Taking taylor expansion of n in k 1544780259.968 * [misc]backup-simplify: Simplify n into n 1544780259.968 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780259.968 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544780259.968 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544780259.968 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.968 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.968 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544780259.968 * [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))) 1544780259.968 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780259.968 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780259.968 * [misc]taylor: Taking taylor expansion of -1 in k 1544780259.968 * [misc]backup-simplify: Simplify -1 into -1 1544780259.968 * [misc]taylor: Taking taylor expansion of k in k 1544780259.968 * [misc]backup-simplify: Simplify 0 into 0 1544780259.969 * [misc]backup-simplify: Simplify 1 into 1 1544780259.969 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780259.969 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.969 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780259.969 * [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)))) 1544780259.969 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544780259.969 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780259.969 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544780259.969 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544780259.969 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780259.969 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.970 * [misc]taylor: Taking taylor expansion of k in n 1544780259.970 * [misc]backup-simplify: Simplify k into k 1544780259.970 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.970 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780259.970 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.970 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.970 * [misc]backup-simplify: Simplify -2 into -2 1544780259.970 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.970 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.970 * [misc]backup-simplify: Simplify PI into PI 1544780259.970 * [misc]taylor: Taking taylor expansion of n in n 1544780259.970 * [misc]backup-simplify: Simplify 0 into 0 1544780259.970 * [misc]backup-simplify: Simplify 1 into 1 1544780259.970 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.970 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.971 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.971 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.971 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780259.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.972 * [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))) 1544780259.972 * [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)))) 1544780259.972 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780259.972 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780259.972 * [misc]taylor: Taking taylor expansion of -1 in n 1544780259.972 * [misc]backup-simplify: Simplify -1 into -1 1544780259.972 * [misc]taylor: Taking taylor expansion of k in n 1544780259.972 * [misc]backup-simplify: Simplify k into k 1544780259.972 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780259.972 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780259.972 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780259.973 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780259.973 * [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))) 1544780259.973 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of k in n 1544780259.973 * [misc]backup-simplify: Simplify k into k 1544780259.973 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780259.973 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780259.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.973 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of -2 in n 1544780259.973 * [misc]backup-simplify: Simplify -2 into -2 1544780259.973 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780259.973 * [misc]taylor: Taking taylor expansion of PI in n 1544780259.973 * [misc]backup-simplify: Simplify PI into PI 1544780259.973 * [misc]taylor: Taking taylor expansion of n in n 1544780259.973 * [misc]backup-simplify: Simplify 0 into 0 1544780259.974 * [misc]backup-simplify: Simplify 1 into 1 1544780259.974 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780259.974 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.974 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.974 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780259.974 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780259.975 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.975 * [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))) 1544780259.976 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1544780259.976 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780259.976 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780259.976 * [misc]taylor: Taking taylor expansion of -1 in n 1544780259.976 * [misc]backup-simplify: Simplify -1 into -1 1544780259.976 * [misc]taylor: Taking taylor expansion of k in n 1544780259.976 * [misc]backup-simplify: Simplify k into k 1544780259.976 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780259.976 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780259.976 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780259.976 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780259.977 * [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))) 1544780259.977 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.977 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of k in k 1544780259.977 * [misc]backup-simplify: Simplify 0 into 0 1544780259.977 * [misc]backup-simplify: Simplify 1 into 1 1544780259.977 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780259.977 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780259.977 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780259.977 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544780259.977 * [misc]taylor: Taking taylor expansion of -2 in k 1544780259.977 * [misc]backup-simplify: Simplify -2 into -2 1544780259.977 * [misc]taylor: Taking taylor expansion of PI in k 1544780259.977 * [misc]backup-simplify: Simplify PI into PI 1544780259.977 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780259.978 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780259.978 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780259.978 * [misc]taylor: Taking taylor expansion of n in k 1544780259.978 * [misc]backup-simplify: Simplify n into n 1544780259.978 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780259.978 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780259.978 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780259.978 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780259.978 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544780259.979 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544780259.979 * [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)))) 1544780259.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780259.979 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780259.979 * [misc]taylor: Taking taylor expansion of -1 in k 1544780259.979 * [misc]backup-simplify: Simplify -1 into -1 1544780259.979 * [misc]taylor: Taking taylor expansion of k in k 1544780259.979 * [misc]backup-simplify: Simplify 0 into 0 1544780259.979 * [misc]backup-simplify: Simplify 1 into 1 1544780259.980 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780259.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780259.980 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780259.980 * [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))))) 1544780259.981 * [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))))) 1544780259.982 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780259.982 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780259.984 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544780259.984 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780259.984 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780259.984 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.985 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.985 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544780259.986 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780259.987 * [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 1544780259.987 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.987 * [misc]backup-simplify: Simplify 0 into 0 1544780259.987 * [misc]backup-simplify: Simplify 0 into 0 1544780259.987 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780259.988 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780259.989 * [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)))))) 1544780259.989 * [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)))))) 1544780259.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780259.991 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780259.995 * [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 1544780259.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780259.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780259.996 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780259.996 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544780259.998 * [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 1544780259.998 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780259.998 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544780259.999 * [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 1544780259.999 * [misc]taylor: Taking taylor expansion of 0 in k 1544780259.999 * [misc]backup-simplify: Simplify 0 into 0 1544780259.999 * [misc]backup-simplify: Simplify 0 into 0 1544780259.999 * [misc]backup-simplify: Simplify 0 into 0 1544780259.999 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780260.000 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780260.002 * [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)))))) 1544780260.002 * [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)))))) 1544780260.004 * [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))))))))))) 1544780260.004 * * * [misc]progress: simplifying candidates 1544780260.004 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1544780260.004 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544780260.005 * * [misc]simplify: iters left: 6 (11 enodes) 1544780260.008 * * [misc]simplify: iters left: 5 (21 enodes) 1544780260.014 * * [misc]simplify: iters left: 4 (47 enodes) 1544780260.035 * * [misc]simplify: iters left: 3 (109 enodes) 1544780260.115 * * [misc]simplify: iters left: 2 (300 enodes) 1544780260.470 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544780260.470 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544780260.471 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1544780260.471 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1544780260.471 * [enter]simplify: Simplifying (* PI (* n 2)) 1544780260.471 * * [misc]simplify: iters left: 4 (5 enodes) 1544780260.473 * * [misc]simplify: iters left: 3 (9 enodes) 1544780260.475 * * [misc]simplify: iters left: 2 (15 enodes) 1544780260.480 * * [misc]simplify: iters left: 1 (17 enodes) 1544780260.485 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544780260.486 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544780260.486 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1544780260.486 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544780260.487 * * [misc]simplify: iters left: 5 (8 enodes) 1544780260.490 * * [misc]simplify: iters left: 4 (12 enodes) 1544780260.495 * * [misc]simplify: iters left: 3 (18 enodes) 1544780260.501 * * [misc]simplify: iters left: 2 (20 enodes) 1544780260.507 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544780260.508 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544780260.508 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1544780260.508 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780260.508 * * [misc]simplify: iters left: 5 (6 enodes) 1544780260.511 * * [misc]simplify: iters left: 4 (8 enodes) 1544780260.513 * * [misc]simplify: iters left: 3 (11 enodes) 1544780260.517 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780260.517 * [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))) 1544780260.517 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1544780260.517 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780260.518 * * [misc]simplify: iters left: 5 (6 enodes) 1544780260.520 * * [misc]simplify: iters left: 4 (8 enodes) 1544780260.523 * * [misc]simplify: iters left: 3 (11 enodes) 1544780260.527 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780260.527 * [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))) 1544780260.527 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1544780260.527 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780260.528 * * [misc]simplify: iters left: 4 (5 enodes) 1544780260.529 * * [misc]simplify: iters left: 3 (7 enodes) 1544780260.532 * * [misc]simplify: iters left: 2 (10 enodes) 1544780260.536 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780260.536 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544780260.536 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1544780260.537 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544780260.537 * * [misc]simplify: iters left: 5 (9 enodes) 1544780260.542 * * [misc]simplify: iters left: 4 (15 enodes) 1544780260.547 * * [misc]simplify: iters left: 3 (21 enodes) 1544780260.554 * * [misc]simplify: iters left: 2 (22 enodes) 1544780260.561 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544780260.561 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544780260.561 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1544780260.561 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544780260.562 * * [misc]simplify: iters left: 5 (9 enodes) 1544780260.566 * * [misc]simplify: iters left: 4 (15 enodes) 1544780260.572 * * [misc]simplify: iters left: 3 (21 enodes) 1544780260.579 * * [misc]simplify: iters left: 2 (22 enodes) 1544780260.586 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544780260.586 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544780260.586 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1544780260.586 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544780260.587 * * [misc]simplify: iters left: 5 (7 enodes) 1544780260.589 * * [misc]simplify: iters left: 4 (9 enodes) 1544780260.593 * * [misc]simplify: iters left: 3 (12 enodes) 1544780260.597 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544780260.597 * [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))) 1544780260.597 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1544780260.597 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1544780260.598 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1544780260.598 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780260.599 * * [misc]simplify: iters left: 6 (14 enodes) 1544780260.605 * * [misc]simplify: iters left: 5 (26 enodes) 1544780260.612 * * [misc]simplify: iters left: 4 (53 enodes) 1544780260.629 * * [misc]simplify: iters left: 3 (137 enodes) 1544780260.741 * * [misc]simplify: iters left: 2 (487 enodes) 1544780261.762 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544780261.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544780261.762 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1544780261.762 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780261.763 * * [misc]simplify: iters left: 6 (14 enodes) 1544780261.766 * * [misc]simplify: iters left: 5 (26 enodes) 1544780261.773 * * [misc]simplify: iters left: 4 (53 enodes) 1544780261.791 * * [misc]simplify: iters left: 3 (137 enodes) 1544780261.893 * * [misc]simplify: iters left: 2 (487 enodes) 1544780262.791 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1544780262.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1544780262.791 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1544780262.791 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544780262.792 * * [misc]simplify: iters left: 6 (14 enodes) 1544780262.796 * * [misc]simplify: iters left: 5 (24 enodes) 1544780262.807 * * [misc]simplify: iters left: 4 (42 enodes) 1544780262.826 * * [misc]simplify: iters left: 3 (71 enodes) 1544780262.866 * * [misc]simplify: iters left: 2 (208 enodes) 1544780263.205 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780263.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780263.205 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1544780263.205 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1544780263.205 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1544780263.206 * [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))) 1544780263.207 * * [misc]simplify: iters left: 6 (16 enodes) 1544780263.211 * * [misc]simplify: iters left: 5 (31 enodes) 1544780263.220 * * [misc]simplify: iters left: 4 (67 enodes) 1544780263.237 * * [misc]simplify: iters left: 3 (124 enodes) 1544780263.297 * * [misc]simplify: iters left: 2 (195 enodes) 1544780263.374 * * [misc]simplify: iters left: 1 (309 enodes) 1544780263.628 * [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)))) 1544780263.628 * [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)))))) 1544780263.628 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1544780263.628 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1544780263.628 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1544780263.628 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1544780263.628 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1544780263.628 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.630 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.635 * * [misc]simplify: iters left: 5 (19 enodes) 1544780263.642 * * [misc]simplify: iters left: 4 (25 enodes) 1544780263.650 * * [misc]simplify: iters left: 3 (26 enodes) 1544780263.659 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.659 * [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))))) 1544780263.659 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544780263.660 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.666 * * [misc]simplify: iters left: 5 (18 enodes) 1544780263.672 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.680 * * [misc]simplify: iters left: 3 (25 enodes) 1544780263.689 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544780263.689 * [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))))) 1544780263.689 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1544780263.689 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544780263.690 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.695 * * [misc]simplify: iters left: 5 (16 enodes) 1544780263.701 * * [misc]simplify: iters left: 4 (22 enodes) 1544780263.708 * * [misc]simplify: iters left: 3 (24 enodes) 1544780263.716 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544780263.716 * [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))))) 1544780263.716 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544780263.718 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.723 * * [misc]simplify: iters left: 5 (18 enodes) 1544780263.729 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.734 * * [misc]simplify: iters left: 3 (25 enodes) 1544780263.739 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544780263.739 * [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))))) 1544780263.739 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1544780263.739 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544780263.739 * * [misc]simplify: iters left: 6 (9 enodes) 1544780263.741 * * [misc]simplify: iters left: 5 (16 enodes) 1544780263.745 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.749 * * [misc]simplify: iters left: 3 (26 enodes) 1544780263.752 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544780263.752 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544780263.752 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544780263.753 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.755 * * [misc]simplify: iters left: 5 (17 enodes) 1544780263.759 * * [misc]simplify: iters left: 4 (23 enodes) 1544780263.762 * * [misc]simplify: iters left: 3 (24 enodes) 1544780263.767 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544780263.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544780263.767 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1544780263.767 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.768 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.770 * * [misc]simplify: iters left: 5 (19 enodes) 1544780263.774 * * [misc]simplify: iters left: 4 (25 enodes) 1544780263.778 * * [misc]simplify: iters left: 3 (26 enodes) 1544780263.782 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.782 * [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))))) 1544780263.783 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544780263.783 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.786 * * [misc]simplify: iters left: 5 (18 enodes) 1544780263.789 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.795 * * [misc]simplify: iters left: 3 (25 enodes) 1544780263.803 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544780263.804 * [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))))) 1544780263.804 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1544780263.804 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544780263.807 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.811 * * [misc]simplify: iters left: 5 (16 enodes) 1544780263.818 * * [misc]simplify: iters left: 4 (22 enodes) 1544780263.825 * * [misc]simplify: iters left: 3 (24 enodes) 1544780263.833 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544780263.833 * [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))))) 1544780263.833 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544780263.835 * * [misc]simplify: iters left: 6 (12 enodes) 1544780263.840 * * [misc]simplify: iters left: 5 (18 enodes) 1544780263.846 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.854 * * [misc]simplify: iters left: 3 (25 enodes) 1544780263.862 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544780263.862 * [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))))) 1544780263.863 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1544780263.863 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544780263.864 * * [misc]simplify: iters left: 6 (9 enodes) 1544780263.868 * * [misc]simplify: iters left: 5 (16 enodes) 1544780263.875 * * [misc]simplify: iters left: 4 (24 enodes) 1544780263.882 * * [misc]simplify: iters left: 3 (26 enodes) 1544780263.889 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544780263.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544780263.889 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544780263.891 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.895 * * [misc]simplify: iters left: 5 (17 enodes) 1544780263.902 * * [misc]simplify: iters left: 4 (23 enodes) 1544780263.909 * * [misc]simplify: iters left: 3 (24 enodes) 1544780263.917 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544780263.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544780263.917 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1544780263.917 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.918 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.922 * * [misc]simplify: iters left: 5 (15 enodes) 1544780263.928 * * [misc]simplify: iters left: 4 (18 enodes) 1544780263.934 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780263.934 * [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))))) 1544780263.935 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780263.937 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.941 * * [misc]simplify: iters left: 5 (14 enodes) 1544780263.946 * * [misc]simplify: iters left: 4 (17 enodes) 1544780263.952 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780263.952 * [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))))) 1544780263.952 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1544780263.952 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780263.953 * * [misc]simplify: iters left: 6 (10 enodes) 1544780263.956 * * [misc]simplify: iters left: 5 (12 enodes) 1544780263.960 * * [misc]simplify: iters left: 4 (15 enodes) 1544780263.966 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780263.966 * [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))))) 1544780263.966 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780263.967 * * [misc]simplify: iters left: 6 (11 enodes) 1544780263.971 * * [misc]simplify: iters left: 5 (14 enodes) 1544780263.975 * * [misc]simplify: iters left: 4 (17 enodes) 1544780263.978 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780263.978 * [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))))) 1544780263.978 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1544780263.979 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544780263.979 * * [misc]simplify: iters left: 6 (9 enodes) 1544780263.981 * * [misc]simplify: iters left: 5 (13 enodes) 1544780263.984 * * [misc]simplify: iters left: 4 (18 enodes) 1544780263.986 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544780263.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780263.986 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780263.987 * * [misc]simplify: iters left: 6 (10 enodes) 1544780263.989 * * [misc]simplify: iters left: 5 (13 enodes) 1544780263.991 * * [misc]simplify: iters left: 4 (16 enodes) 1544780263.993 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780263.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780263.994 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1544780263.994 * [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)))) 1544780263.995 * * [misc]simplify: iters left: 6 (16 enodes) 1544780264.003 * * [misc]simplify: iters left: 5 (28 enodes) 1544780264.015 * * [misc]simplify: iters left: 4 (46 enodes) 1544780264.029 * * [misc]simplify: iters left: 3 (50 enodes) 1544780264.044 * * [misc]simplify: iters left: 2 (53 enodes) 1544780264.067 * [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)))) 1544780264.067 * [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))))) 1544780264.068 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780264.069 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.075 * * [misc]simplify: iters left: 5 (20 enodes) 1544780264.083 * * [misc]simplify: iters left: 4 (29 enodes) 1544780264.093 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.103 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780264.103 * [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))))) 1544780264.103 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1544780264.104 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544780264.105 * * [misc]simplify: iters left: 6 (15 enodes) 1544780264.111 * * [misc]simplify: iters left: 5 (23 enodes) 1544780264.120 * * [misc]simplify: iters left: 4 (34 enodes) 1544780264.131 * * [misc]simplify: iters left: 3 (37 enodes) 1544780264.138 * [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)))))) 1544780264.138 * [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))))) 1544780264.139 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.140 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.143 * * [misc]simplify: iters left: 5 (20 enodes) 1544780264.147 * * [misc]simplify: iters left: 4 (29 enodes) 1544780264.152 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.157 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.157 * [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))))) 1544780264.157 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1544780264.157 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544780264.159 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.162 * * [misc]simplify: iters left: 5 (24 enodes) 1544780264.168 * * [misc]simplify: iters left: 4 (39 enodes) 1544780264.177 * * [misc]simplify: iters left: 3 (54 enodes) 1544780264.198 * * [misc]simplify: iters left: 2 (80 enodes) 1544780264.222 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544780264.223 * [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)))) 1544780264.223 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544780264.224 * * [misc]simplify: iters left: 6 (13 enodes) 1544780264.230 * * [misc]simplify: iters left: 5 (19 enodes) 1544780264.237 * * [misc]simplify: iters left: 4 (28 enodes) 1544780264.246 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.257 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544780264.257 * [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)))) 1544780264.257 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1544780264.257 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780264.259 * * [misc]simplify: iters left: 6 (15 enodes) 1544780264.265 * * [misc]simplify: iters left: 5 (23 enodes) 1544780264.275 * * [misc]simplify: iters left: 4 (32 enodes) 1544780264.287 * * [misc]simplify: iters left: 3 (34 enodes) 1544780264.299 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780264.299 * [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))))) 1544780264.299 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780264.300 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.306 * * [misc]simplify: iters left: 5 (20 enodes) 1544780264.315 * * [misc]simplify: iters left: 4 (29 enodes) 1544780264.324 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.334 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780264.334 * [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))))) 1544780264.334 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1544780264.335 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.336 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.342 * * [misc]simplify: iters left: 5 (20 enodes) 1544780264.350 * * [misc]simplify: iters left: 4 (29 enodes) 1544780264.358 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.369 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.369 * [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))))) 1544780264.369 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.371 * * [misc]simplify: iters left: 6 (14 enodes) 1544780264.376 * * [misc]simplify: iters left: 5 (20 enodes) 1544780264.384 * * [misc]simplify: iters left: 4 (29 enodes) 1544780264.392 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.402 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780264.402 * [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))))) 1544780264.402 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1544780264.403 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544780264.404 * * [misc]simplify: iters left: 6 (13 enodes) 1544780264.409 * * [misc]simplify: iters left: 5 (21 enodes) 1544780264.420 * * [misc]simplify: iters left: 4 (32 enodes) 1544780264.428 * * [misc]simplify: iters left: 3 (33 enodes) 1544780264.438 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544780264.438 * [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)))) 1544780264.438 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544780264.439 * * [misc]simplify: iters left: 6 (13 enodes) 1544780264.445 * * [misc]simplify: iters left: 5 (19 enodes) 1544780264.452 * * [misc]simplify: iters left: 4 (28 enodes) 1544780264.461 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.471 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544780264.471 * [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)))) 1544780264.471 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1544780264.471 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780264.472 * * [misc]simplify: iters left: 6 (6 enodes) 1544780264.475 * * [misc]simplify: iters left: 5 (10 enodes) 1544780264.478 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544780264.478 * [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))))) 1544780264.479 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780264.480 * * [misc]simplify: iters left: 6 (13 enodes) 1544780264.485 * * [misc]simplify: iters left: 5 (19 enodes) 1544780264.492 * * [misc]simplify: iters left: 4 (28 enodes) 1544780264.497 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.501 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780264.501 * [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))))) 1544780264.501 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1544780264.502 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544780264.502 * * [misc]simplify: iters left: 4 (5 enodes) 1544780264.503 * * [misc]simplify: iters left: 3 (7 enodes) 1544780264.504 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544780264.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780264.504 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780264.505 * * [misc]simplify: iters left: 6 (13 enodes) 1544780264.507 * * [misc]simplify: iters left: 5 (19 enodes) 1544780264.511 * * [misc]simplify: iters left: 4 (28 enodes) 1544780264.516 * * [misc]simplify: iters left: 3 (30 enodes) 1544780264.522 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780264.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780264.522 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1544780264.522 * [enter]simplify: Simplifying (/ 1 1) 1544780264.522 * * [misc]simplify: iters left: 2 (2 enodes) 1544780264.523 * * [misc]simplify: iters left: 1 (4 enodes) 1544780264.523 * [exit]simplify: Simplified to 1 1544780264.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544780264.523 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544780264.524 * * [misc]simplify: iters left: 6 (12 enodes) 1544780264.526 * * [misc]simplify: iters left: 5 (18 enodes) 1544780264.530 * * [misc]simplify: iters left: 4 (27 enodes) 1544780264.538 * * [misc]simplify: iters left: 3 (29 enodes) 1544780264.547 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544780264.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544780264.547 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1544780264.547 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1544780264.547 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1544780264.547 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1544780264.547 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544780264.548 * * [misc]simplify: iters left: 2 (3 enodes) 1544780264.548 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544780264.548 * [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)))) 1544780264.548 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1544780264.548 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544780264.549 * * [misc]simplify: iters left: 2 (3 enodes) 1544780264.549 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544780264.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544780264.549 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1544780264.549 * [enter]simplify: Simplifying (sqrt k) 1544780264.549 * * [misc]simplify: iters left: 1 (2 enodes) 1544780264.550 * [exit]simplify: Simplified to (sqrt k) 1544780264.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544780264.550 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1544780264.550 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544780264.550 * * [misc]simplify: iters left: 5 (7 enodes) 1544780264.552 * * [misc]simplify: iters left: 4 (12 enodes) 1544780264.554 * * [misc]simplify: iters left: 3 (18 enodes) 1544780264.557 * * [misc]simplify: iters left: 2 (20 enodes) 1544780264.560 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544780264.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544780264.560 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1544780264.560 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544780264.561 * * [misc]simplify: iters left: 5 (7 enodes) 1544780264.563 * * [misc]simplify: iters left: 4 (12 enodes) 1544780264.565 * * [misc]simplify: iters left: 3 (18 enodes) 1544780264.568 * * [misc]simplify: iters left: 2 (20 enodes) 1544780264.571 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544780264.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544780264.571 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1544780264.571 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544780264.572 * * [misc]simplify: iters left: 5 (7 enodes) 1544780264.573 * * [misc]simplify: iters left: 4 (9 enodes) 1544780264.575 * * [misc]simplify: iters left: 3 (12 enodes) 1544780264.579 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544780264.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544780264.579 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1544780264.579 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544780264.580 * * [misc]simplify: iters left: 6 (12 enodes) 1544780264.585 * * [misc]simplify: iters left: 5 (18 enodes) 1544780264.592 * * [misc]simplify: iters left: 4 (27 enodes) 1544780264.596 * * [misc]simplify: iters left: 3 (29 enodes) 1544780264.601 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544780264.601 * [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))))))) 1544780264.601 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1544780264.601 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544780264.603 * * [misc]simplify: iters left: 6 (11 enodes) 1544780264.606 * * [misc]simplify: iters left: 5 (17 enodes) 1544780264.609 * * [misc]simplify: iters left: 4 (26 enodes) 1544780264.613 * * [misc]simplify: iters left: 3 (27 enodes) 1544780264.618 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544780264.618 * [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))))))) 1544780264.618 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1544780264.618 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1544780264.618 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544780264.618 * * [misc]simplify: iters left: 5 (7 enodes) 1544780264.621 * * [misc]simplify: iters left: 4 (12 enodes) 1544780264.626 * * [misc]simplify: iters left: 3 (18 enodes) 1544780264.632 * * [misc]simplify: iters left: 2 (20 enodes) 1544780264.638 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544780264.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544780264.638 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1544780264.639 * [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))))) 1544780264.643 * * [misc]simplify: iters left: 6 (37 enodes) 1544780264.668 * * [misc]simplify: iters left: 5 (105 enodes) 1544780264.748 * * [misc]simplify: iters left: 4 (339 enodes) 1544780265.248 * [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))))) 1544780265.248 * [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))) 1544780265.248 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1544780265.249 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544780265.250 * * [misc]simplify: iters left: 6 (15 enodes) 1544780265.254 * * [misc]simplify: iters left: 5 (33 enodes) 1544780265.263 * * [misc]simplify: iters left: 4 (64 enodes) 1544780265.299 * * [misc]simplify: iters left: 3 (171 enodes) 1544780265.452 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1544780265.452 * [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))) 1544780265.452 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1544780265.452 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544780265.453 * * [misc]simplify: iters left: 6 (15 enodes) 1544780265.458 * * [misc]simplify: iters left: 5 (30 enodes) 1544780265.467 * * [misc]simplify: iters left: 4 (65 enodes) 1544780265.492 * * [misc]simplify: iters left: 3 (200 enodes) 1544780265.721 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544780265.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1544780265.721 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1544780265.721 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780265.722 * * [misc]simplify: iters left: 4 (5 enodes) 1544780265.723 * * [misc]simplify: iters left: 3 (9 enodes) 1544780265.725 * * [misc]simplify: iters left: 2 (15 enodes) 1544780265.728 * * [misc]simplify: iters left: 1 (17 enodes) 1544780265.734 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780265.734 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780265.734 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1544780265.734 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780265.734 * * [misc]simplify: iters left: 4 (5 enodes) 1544780265.737 * * [misc]simplify: iters left: 3 (9 enodes) 1544780265.741 * * [misc]simplify: iters left: 2 (15 enodes) 1544780265.746 * * [misc]simplify: iters left: 1 (17 enodes) 1544780265.752 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780265.752 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780265.752 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1544780265.752 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780265.753 * * [misc]simplify: iters left: 4 (5 enodes) 1544780265.755 * * [misc]simplify: iters left: 3 (9 enodes) 1544780265.759 * * [misc]simplify: iters left: 2 (15 enodes) 1544780265.764 * * [misc]simplify: iters left: 1 (17 enodes) 1544780265.770 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780265.770 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780265.770 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1544780265.770 * [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)))))))))))))))))))))) 1544780265.770 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780265.771 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1544780265.771 * [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)))))))) 1544780265.771 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780265.771 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1544780265.771 * [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))))))))))) 1544780265.771 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780265.771 * * * [misc]progress: adding candidates to table 1544780267.525 * * [misc]progress: iteration 2 / 4 1544780267.525 * * * [misc]progress: picking best candidate 1544780267.639 * * * * [misc]pick: Picked # 1544780267.639 * * * [misc]progress: localizing error 1544780267.664 * * * [misc]progress: generating rewritten candidates 1544780267.664 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) 1544780267.678 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) 1544780267.689 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1544780267.700 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544780267.797 * * * [misc]progress: generating series expansions 1544780267.797 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) 1544780267.798 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) 1544780267.798 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 1544780267.798 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.798 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.798 * [misc]backup-simplify: Simplify 1 into 1 1544780267.798 * [misc]taylor: Taking taylor expansion of k in k 1544780267.798 * [misc]backup-simplify: Simplify 0 into 0 1544780267.798 * [misc]backup-simplify: Simplify 1 into 1 1544780267.798 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544780267.798 * [misc]taylor: Taking taylor expansion of 2 in k 1544780267.798 * [misc]backup-simplify: Simplify 2 into 2 1544780267.799 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544780267.799 * [misc]taylor: Taking taylor expansion of n in k 1544780267.799 * [misc]backup-simplify: Simplify n into n 1544780267.799 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.799 * [misc]backup-simplify: Simplify PI into PI 1544780267.799 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544780267.799 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544780267.799 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544780267.799 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.799 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780267.800 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780267.800 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544780267.801 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544780267.801 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.801 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.801 * [misc]backup-simplify: Simplify 1 into 1 1544780267.801 * [misc]taylor: Taking taylor expansion of k in n 1544780267.801 * [misc]backup-simplify: Simplify k into k 1544780267.801 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of 2 in n 1544780267.801 * [misc]backup-simplify: Simplify 2 into 2 1544780267.801 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780267.801 * [misc]taylor: Taking taylor expansion of n in n 1544780267.801 * [misc]backup-simplify: Simplify 0 into 0 1544780267.801 * [misc]backup-simplify: Simplify 1 into 1 1544780267.801 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.801 * [misc]backup-simplify: Simplify PI into PI 1544780267.802 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780267.802 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780267.803 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780267.803 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780267.804 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.804 * [misc]backup-simplify: Simplify (- k) into (- k) 1544780267.804 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544780267.804 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544780267.805 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780267.806 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544780267.806 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544780267.806 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544780267.806 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544780267.806 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.807 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.807 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.807 * [misc]backup-simplify: Simplify 1 into 1 1544780267.807 * [misc]taylor: Taking taylor expansion of k in n 1544780267.807 * [misc]backup-simplify: Simplify k into k 1544780267.807 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of 2 in n 1544780267.807 * [misc]backup-simplify: Simplify 2 into 2 1544780267.807 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780267.807 * [misc]taylor: Taking taylor expansion of n in n 1544780267.807 * [misc]backup-simplify: Simplify 0 into 0 1544780267.807 * [misc]backup-simplify: Simplify 1 into 1 1544780267.807 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.807 * [misc]backup-simplify: Simplify PI into PI 1544780267.807 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780267.808 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780267.808 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780267.809 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780267.810 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.810 * [misc]backup-simplify: Simplify (- k) into (- k) 1544780267.810 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544780267.810 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544780267.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780267.811 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544780267.812 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544780267.812 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k 1544780267.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k 1544780267.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.812 * [misc]taylor: Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k 1544780267.812 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544780267.812 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.812 * [misc]backup-simplify: Simplify 1 into 1 1544780267.812 * [misc]taylor: Taking taylor expansion of k in k 1544780267.812 * [misc]backup-simplify: Simplify 0 into 0 1544780267.812 * [misc]backup-simplify: Simplify 1 into 1 1544780267.812 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544780267.813 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780267.813 * [misc]taylor: Taking taylor expansion of n in k 1544780267.813 * [misc]backup-simplify: Simplify n into n 1544780267.813 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780267.813 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780267.813 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780267.813 * [misc]taylor: Taking taylor expansion of 2 in k 1544780267.813 * [misc]backup-simplify: Simplify 2 into 2 1544780267.813 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.813 * [misc]backup-simplify: Simplify PI into PI 1544780267.813 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780267.814 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.814 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.814 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780267.815 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780267.815 * [misc]backup-simplify: Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI))) 1544780267.816 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544780267.817 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544780267.817 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544780267.819 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780267.820 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780267.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780267.823 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.823 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0 1544780267.824 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780267.825 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544780267.827 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780267.827 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.827 * [misc]backup-simplify: Simplify 0 into 0 1544780267.827 * [misc]backup-simplify: Simplify 0 into 0 1544780267.828 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780267.829 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780267.832 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780267.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.832 * [misc]backup-simplify: Simplify (- 1) into -1 1544780267.832 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780267.833 * [misc]backup-simplify: Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n))) 1544780267.835 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1544780267.837 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 1544780267.838 * [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))))))) 1544780267.840 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780267.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544780267.853 * [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 1544780267.853 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.853 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.854 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0 1544780267.854 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780267.855 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780267.858 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780267.858 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.858 * [misc]backup-simplify: Simplify 0 into 0 1544780267.858 * [misc]backup-simplify: Simplify 0 into 0 1544780267.858 * [misc]backup-simplify: Simplify 0 into 0 1544780267.860 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780267.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780267.867 * [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 1544780267.867 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.867 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.869 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780267.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544780267.874 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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))))) 1544780267.878 * [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))))) 1544780267.886 * [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))))) 1544780267.887 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) 1544780267.887 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 1544780267.887 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544780267.887 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544780267.887 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544780267.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544780267.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.887 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544780267.888 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.888 * [misc]backup-simplify: Simplify 1 into 1 1544780267.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780267.888 * [misc]taylor: Taking taylor expansion of k in k 1544780267.888 * [misc]backup-simplify: Simplify 0 into 0 1544780267.888 * [misc]backup-simplify: Simplify 1 into 1 1544780267.888 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780267.888 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544780267.888 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544780267.888 * [misc]taylor: Taking taylor expansion of 2 in k 1544780267.888 * [misc]backup-simplify: Simplify 2 into 2 1544780267.888 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780267.888 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.888 * [misc]backup-simplify: Simplify PI into PI 1544780267.888 * [misc]taylor: Taking taylor expansion of n in k 1544780267.888 * [misc]backup-simplify: Simplify n into n 1544780267.888 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780267.888 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544780267.889 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544780267.889 * [misc]backup-simplify: Simplify (- 1) into -1 1544780267.889 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780267.889 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544780267.889 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544780267.890 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544780267.890 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.890 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.890 * [misc]backup-simplify: Simplify 1 into 1 1544780267.890 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of k in n 1544780267.890 * [misc]backup-simplify: Simplify k into k 1544780267.890 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780267.890 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of 2 in n 1544780267.890 * [misc]backup-simplify: Simplify 2 into 2 1544780267.890 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780267.890 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.890 * [misc]backup-simplify: Simplify PI into PI 1544780267.890 * [misc]taylor: Taking taylor expansion of n in n 1544780267.890 * [misc]backup-simplify: Simplify 0 into 0 1544780267.890 * [misc]backup-simplify: Simplify 1 into 1 1544780267.891 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780267.891 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780267.892 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.892 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780267.892 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780267.892 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544780267.893 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780267.893 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780267.894 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780267.894 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544780267.894 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780267.894 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780267.894 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544780267.894 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.894 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.894 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780267.894 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.894 * [misc]backup-simplify: Simplify 1 into 1 1544780267.894 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780267.895 * [misc]taylor: Taking taylor expansion of k in n 1544780267.895 * [misc]backup-simplify: Simplify k into k 1544780267.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780267.895 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780267.895 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780267.895 * [misc]taylor: Taking taylor expansion of 2 in n 1544780267.895 * [misc]backup-simplify: Simplify 2 into 2 1544780267.895 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780267.895 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.895 * [misc]backup-simplify: Simplify PI into PI 1544780267.895 * [misc]taylor: Taking taylor expansion of n in n 1544780267.895 * [misc]backup-simplify: Simplify 0 into 0 1544780267.895 * [misc]backup-simplify: Simplify 1 into 1 1544780267.895 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780267.896 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780267.896 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.896 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780267.896 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780267.896 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544780267.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780267.898 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780267.899 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780267.899 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.899 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.899 * [misc]backup-simplify: Simplify 1 into 1 1544780267.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of k in k 1544780267.899 * [misc]backup-simplify: Simplify 0 into 0 1544780267.899 * [misc]backup-simplify: Simplify 1 into 1 1544780267.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780267.899 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544780267.899 * [misc]taylor: Taking taylor expansion of 2 in k 1544780267.899 * [misc]backup-simplify: Simplify 2 into 2 1544780267.899 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.899 * [misc]backup-simplify: Simplify PI into PI 1544780267.900 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780267.900 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780267.900 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780267.900 * [misc]taylor: Taking taylor expansion of n in k 1544780267.900 * [misc]backup-simplify: Simplify n into n 1544780267.900 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780267.901 * [misc]backup-simplify: Simplify (- 1) into -1 1544780267.901 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780267.901 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780267.901 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544780267.902 * [misc]backup-simplify: Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n))) 1544780267.903 * [misc]backup-simplify: Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544780267.904 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780267.905 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780267.906 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780267.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780267.910 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780267.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780267.910 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.911 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.911 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0 1544780267.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780267.912 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544780267.914 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780267.914 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.914 * [misc]backup-simplify: Simplify 0 into 0 1544780267.914 * [misc]backup-simplify: Simplify 0 into 0 1544780267.914 * [misc]backup-simplify: Simplify 0 into 0 1544780267.916 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780267.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780267.923 * [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 1544780267.923 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780267.923 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0 1544780267.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780267.925 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544780267.928 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780267.928 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.928 * [misc]backup-simplify: Simplify 0 into 0 1544780267.928 * [misc]backup-simplify: Simplify 0 into 0 1544780267.928 * [misc]backup-simplify: Simplify 0 into 0 1544780267.928 * [misc]backup-simplify: Simplify 0 into 0 1544780267.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780267.932 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780267.941 * [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 1544780267.941 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780267.941 * [misc]backup-simplify: Simplify (- 0) into 0 1544780267.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.942 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0 1544780267.943 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780267.944 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544780267.948 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 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 1544780267.948 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.948 * [misc]backup-simplify: Simplify 0 into 0 1544780267.948 * [misc]backup-simplify: Simplify 0 into 0 1544780267.949 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544780267.950 * [misc]backup-simplify: Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) 1544780267.950 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 1544780267.950 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.950 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780267.950 * [misc]taylor: Taking taylor expansion of k in k 1544780267.950 * [misc]backup-simplify: Simplify 0 into 0 1544780267.950 * [misc]backup-simplify: Simplify 1 into 1 1544780267.951 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780267.951 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.951 * [misc]backup-simplify: Simplify 1 into 1 1544780267.951 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544780267.951 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544780267.951 * [misc]taylor: Taking taylor expansion of -2 in k 1544780267.951 * [misc]backup-simplify: Simplify -2 into -2 1544780267.951 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780267.951 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.951 * [misc]backup-simplify: Simplify PI into PI 1544780267.951 * [misc]taylor: Taking taylor expansion of n in k 1544780267.951 * [misc]backup-simplify: Simplify n into n 1544780267.951 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780267.951 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544780267.951 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544780267.952 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780267.952 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780267.952 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544780267.952 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544780267.952 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544780267.952 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544780267.952 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.953 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of k in n 1544780267.953 * [misc]backup-simplify: Simplify k into k 1544780267.953 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780267.953 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.953 * [misc]backup-simplify: Simplify 1 into 1 1544780267.953 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of -2 in n 1544780267.953 * [misc]backup-simplify: Simplify -2 into -2 1544780267.953 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780267.953 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.953 * [misc]backup-simplify: Simplify PI into PI 1544780267.953 * [misc]taylor: Taking taylor expansion of n in n 1544780267.953 * [misc]backup-simplify: Simplify 0 into 0 1544780267.953 * [misc]backup-simplify: Simplify 1 into 1 1544780267.954 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780267.954 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780267.954 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780267.954 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780267.955 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544780267.955 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780267.956 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780267.957 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780267.957 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780267.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.957 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of k in n 1544780267.957 * [misc]backup-simplify: Simplify k into k 1544780267.957 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780267.957 * [misc]taylor: Taking taylor expansion of 1 in n 1544780267.957 * [misc]backup-simplify: Simplify 1 into 1 1544780267.957 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of -2 in n 1544780267.957 * [misc]backup-simplify: Simplify -2 into -2 1544780267.957 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780267.957 * [misc]taylor: Taking taylor expansion of PI in n 1544780267.957 * [misc]backup-simplify: Simplify PI into PI 1544780267.957 * [misc]taylor: Taking taylor expansion of n in n 1544780267.957 * [misc]backup-simplify: Simplify 0 into 0 1544780267.958 * [misc]backup-simplify: Simplify 1 into 1 1544780267.958 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780267.958 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780267.959 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780267.959 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780267.959 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544780267.960 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780267.961 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780267.962 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780267.962 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780267.962 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780267.962 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of k in k 1544780267.962 * [misc]backup-simplify: Simplify 0 into 0 1544780267.962 * [misc]backup-simplify: Simplify 1 into 1 1544780267.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780267.962 * [misc]taylor: Taking taylor expansion of 1 in k 1544780267.962 * [misc]backup-simplify: Simplify 1 into 1 1544780267.962 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544780267.962 * [misc]taylor: Taking taylor expansion of -2 in k 1544780267.962 * [misc]backup-simplify: Simplify -2 into -2 1544780267.962 * [misc]taylor: Taking taylor expansion of PI in k 1544780267.963 * [misc]backup-simplify: Simplify PI into PI 1544780267.963 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780267.963 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780267.963 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780267.963 * [misc]taylor: Taking taylor expansion of n in k 1544780267.963 * [misc]backup-simplify: Simplify n into n 1544780267.964 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780267.964 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780267.964 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780267.964 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544780267.965 * [misc]backup-simplify: Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n)) 1544780267.966 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544780267.966 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780267.967 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780267.969 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780267.969 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780267.973 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544780267.973 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780267.973 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.973 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0 1544780267.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780267.975 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544780267.977 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780267.977 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.977 * [misc]backup-simplify: Simplify 0 into 0 1544780267.977 * [misc]backup-simplify: Simplify 0 into 0 1544780267.977 * [misc]backup-simplify: Simplify 0 into 0 1544780267.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780267.980 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780267.986 * [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 1544780267.986 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780267.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780267.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0 1544780267.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780267.988 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544780267.991 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780267.991 * [misc]taylor: Taking taylor expansion of 0 in k 1544780267.991 * [misc]backup-simplify: Simplify 0 into 0 1544780267.991 * [misc]backup-simplify: Simplify 0 into 0 1544780267.991 * [misc]backup-simplify: Simplify 0 into 0 1544780267.991 * [misc]backup-simplify: Simplify 0 into 0 1544780267.993 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780267.994 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780268.006 * [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 1544780268.006 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780268.006 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.007 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0 1544780268.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.009 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544780268.013 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544780268.013 * [misc]taylor: Taking taylor expansion of 0 in k 1544780268.013 * [misc]backup-simplify: Simplify 0 into 0 1544780268.013 * [misc]backup-simplify: Simplify 0 into 0 1544780268.014 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544780268.014 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) 1544780268.015 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544780268.015 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544780268.015 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.015 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.015 * [misc]backup-simplify: Simplify 2 into 2 1544780268.015 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.015 * [misc]taylor: Taking taylor expansion of n in n 1544780268.015 * [misc]backup-simplify: Simplify 0 into 0 1544780268.015 * [misc]backup-simplify: Simplify 1 into 1 1544780268.015 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.016 * [misc]backup-simplify: Simplify PI into PI 1544780268.016 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.016 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.016 * [misc]backup-simplify: Simplify 2 into 2 1544780268.016 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.016 * [misc]taylor: Taking taylor expansion of n in n 1544780268.016 * [misc]backup-simplify: Simplify 0 into 0 1544780268.016 * [misc]backup-simplify: Simplify 1 into 1 1544780268.016 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.016 * [misc]backup-simplify: Simplify PI into PI 1544780268.016 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.016 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780268.016 * [misc]backup-simplify: Simplify 0 into 0 1544780268.017 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.018 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780268.018 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.019 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780268.021 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780268.021 * [misc]backup-simplify: Simplify 0 into 0 1544780268.022 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780268.024 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544780268.024 * [misc]backup-simplify: Simplify 0 into 0 1544780268.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780268.029 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544780268.029 * [misc]backup-simplify: Simplify 0 into 0 1544780268.031 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780268.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544780268.033 * [misc]backup-simplify: Simplify 0 into 0 1544780268.035 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780268.037 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544780268.037 * [misc]backup-simplify: Simplify 0 into 0 1544780268.040 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544780268.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544780268.042 * [misc]backup-simplify: Simplify 0 into 0 1544780268.042 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544780268.043 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n)) 1544780268.043 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544780268.043 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.043 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.043 * [misc]backup-simplify: Simplify 2 into 2 1544780268.043 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.043 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.043 * [misc]backup-simplify: Simplify PI into PI 1544780268.043 * [misc]taylor: Taking taylor expansion of n in n 1544780268.043 * [misc]backup-simplify: Simplify 0 into 0 1544780268.043 * [misc]backup-simplify: Simplify 1 into 1 1544780268.043 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.043 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.043 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.043 * [misc]backup-simplify: Simplify 2 into 2 1544780268.043 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.043 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.043 * [misc]backup-simplify: Simplify PI into PI 1544780268.043 * [misc]taylor: Taking taylor expansion of n in n 1544780268.043 * [misc]backup-simplify: Simplify 0 into 0 1544780268.043 * [misc]backup-simplify: Simplify 1 into 1 1544780268.043 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.044 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.044 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.045 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780268.045 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780268.045 * [misc]backup-simplify: Simplify 0 into 0 1544780268.046 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.047 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780268.047 * [misc]backup-simplify: Simplify 0 into 0 1544780268.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.049 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780268.049 * [misc]backup-simplify: Simplify 0 into 0 1544780268.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.051 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780268.051 * [misc]backup-simplify: Simplify 0 into 0 1544780268.053 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.054 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780268.054 * [misc]backup-simplify: Simplify 0 into 0 1544780268.056 * [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 1544780268.058 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780268.058 * [misc]backup-simplify: Simplify 0 into 0 1544780268.058 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544780268.058 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n)) 1544780268.058 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544780268.058 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.059 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.059 * [misc]backup-simplify: Simplify -2 into -2 1544780268.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.059 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.059 * [misc]backup-simplify: Simplify PI into PI 1544780268.059 * [misc]taylor: Taking taylor expansion of n in n 1544780268.059 * [misc]backup-simplify: Simplify 0 into 0 1544780268.059 * [misc]backup-simplify: Simplify 1 into 1 1544780268.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.059 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.059 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.059 * [misc]backup-simplify: Simplify -2 into -2 1544780268.059 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.059 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.059 * [misc]backup-simplify: Simplify PI into PI 1544780268.059 * [misc]taylor: Taking taylor expansion of n in n 1544780268.059 * [misc]backup-simplify: Simplify 0 into 0 1544780268.059 * [misc]backup-simplify: Simplify 1 into 1 1544780268.059 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.059 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.060 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.060 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780268.061 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780268.061 * [misc]backup-simplify: Simplify 0 into 0 1544780268.062 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.063 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544780268.063 * [misc]backup-simplify: Simplify 0 into 0 1544780268.064 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.065 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780268.065 * [misc]backup-simplify: Simplify 0 into 0 1544780268.066 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.067 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544780268.067 * [misc]backup-simplify: Simplify 0 into 0 1544780268.069 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.070 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544780268.070 * [misc]backup-simplify: Simplify 0 into 0 1544780268.072 * [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 1544780268.074 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544780268.074 * [misc]backup-simplify: Simplify 0 into 0 1544780268.074 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544780268.074 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1544780268.075 * [misc]backup-simplify: Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k)) 1544780268.075 * [misc]approximate: Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0 1544780268.075 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780268.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.075 * [misc]taylor: Taking taylor expansion of k in k 1544780268.075 * [misc]backup-simplify: Simplify 0 into 0 1544780268.075 * [misc]backup-simplify: Simplify 1 into 1 1544780268.075 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.075 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.075 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.076 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780268.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.076 * [misc]taylor: Taking taylor expansion of k in k 1544780268.076 * [misc]backup-simplify: Simplify 0 into 0 1544780268.076 * [misc]backup-simplify: Simplify 1 into 1 1544780268.076 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.076 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.076 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.076 * [misc]backup-simplify: Simplify 0 into 0 1544780268.076 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.076 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780268.077 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.077 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.077 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.078 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.078 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.078 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1544780268.078 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k) 1544780268.078 * [misc]approximate: Taking taylor expansion of (sqrt k) in (k) around 0 1544780268.078 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780268.078 * [misc]taylor: Taking taylor expansion of k in k 1544780268.078 * [misc]backup-simplify: Simplify 0 into 0 1544780268.078 * [misc]backup-simplify: Simplify 1 into 1 1544780268.078 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.079 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.079 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780268.079 * [misc]taylor: Taking taylor expansion of k in k 1544780268.079 * [misc]backup-simplify: Simplify 0 into 0 1544780268.079 * [misc]backup-simplify: Simplify 1 into 1 1544780268.079 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.079 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.079 * [misc]backup-simplify: Simplify 0 into 0 1544780268.079 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.080 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.080 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.081 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.081 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.081 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1544780268.081 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k))) 1544780268.081 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0 1544780268.081 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544780268.081 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780268.081 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780268.081 * [misc]taylor: Taking taylor expansion of -1 in k 1544780268.081 * [misc]backup-simplify: Simplify -1 into -1 1544780268.081 * [misc]taylor: Taking taylor expansion of k in k 1544780268.081 * [misc]backup-simplify: Simplify 0 into 0 1544780268.081 * [misc]backup-simplify: Simplify 1 into 1 1544780268.081 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780268.082 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.082 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780268.082 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544780268.082 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1544780268.082 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780268.082 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780268.082 * [misc]taylor: Taking taylor expansion of -1 in k 1544780268.082 * [misc]backup-simplify: Simplify -1 into -1 1544780268.082 * [misc]taylor: Taking taylor expansion of k in k 1544780268.082 * [misc]backup-simplify: Simplify 0 into 0 1544780268.082 * [misc]backup-simplify: Simplify 1 into 1 1544780268.082 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780268.082 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.083 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780268.083 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544780268.083 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.083 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780268.084 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.084 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1544780268.084 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544780268.084 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.085 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.086 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1544780268.086 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1544780268.086 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1544780268.086 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544780268.087 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) 1544780268.087 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0 1544780268.087 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.087 * [misc]taylor: Taking taylor expansion of (- 1 k) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.087 * [misc]backup-simplify: Simplify 1 into 1 1544780268.087 * [misc]taylor: Taking taylor expansion of k in n 1544780268.087 * [misc]backup-simplify: Simplify k into k 1544780268.087 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.087 * [misc]backup-simplify: Simplify 2 into 2 1544780268.087 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.087 * [misc]taylor: Taking taylor expansion of n in n 1544780268.087 * [misc]backup-simplify: Simplify 0 into 0 1544780268.087 * [misc]backup-simplify: Simplify 1 into 1 1544780268.087 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.087 * [misc]backup-simplify: Simplify PI into PI 1544780268.088 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.088 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780268.088 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.089 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780268.089 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.089 * [misc]backup-simplify: Simplify (- k) into (- k) 1544780268.089 * [misc]backup-simplify: Simplify (+ 1 (- k)) into (- 1 k) 1544780268.089 * [misc]backup-simplify: Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k)) 1544780268.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.090 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) 1544780268.091 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) into (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) 1544780268.091 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780268.091 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.091 * [misc]taylor: Taking taylor expansion of k in n 1544780268.091 * [misc]backup-simplify: Simplify k into k 1544780268.091 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.091 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780268.091 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780268.091 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780268.091 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.091 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.091 * [misc]backup-simplify: Simplify 1 into 1 1544780268.091 * [misc]taylor: Taking taylor expansion of k in k 1544780268.091 * [misc]backup-simplify: Simplify 0 into 0 1544780268.091 * [misc]backup-simplify: Simplify 1 into 1 1544780268.091 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of 2 in k 1544780268.091 * [misc]backup-simplify: Simplify 2 into 2 1544780268.091 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544780268.091 * [misc]taylor: Taking taylor expansion of n in k 1544780268.091 * [misc]backup-simplify: Simplify n into n 1544780268.091 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.091 * [misc]backup-simplify: Simplify PI into PI 1544780268.091 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544780268.092 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544780268.092 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544780268.092 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.092 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780268.092 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780268.092 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544780268.092 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544780268.092 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780268.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.092 * [misc]taylor: Taking taylor expansion of k in k 1544780268.092 * [misc]backup-simplify: Simplify 0 into 0 1544780268.092 * [misc]backup-simplify: Simplify 1 into 1 1544780268.092 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.092 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.093 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.093 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 k)) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.093 * [misc]taylor: Taking taylor expansion of (- 1 k) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.093 * [misc]backup-simplify: Simplify 1 into 1 1544780268.093 * [misc]taylor: Taking taylor expansion of k in k 1544780268.093 * [misc]backup-simplify: Simplify 0 into 0 1544780268.093 * [misc]backup-simplify: Simplify 1 into 1 1544780268.093 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of 2 in k 1544780268.093 * [misc]backup-simplify: Simplify 2 into 2 1544780268.093 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544780268.093 * [misc]taylor: Taking taylor expansion of n in k 1544780268.093 * [misc]backup-simplify: Simplify n into n 1544780268.093 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.093 * [misc]backup-simplify: Simplify PI into PI 1544780268.093 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544780268.093 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544780268.093 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544780268.093 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.094 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780268.094 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780268.094 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544780268.094 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544780268.094 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780268.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.094 * [misc]taylor: Taking taylor expansion of k in k 1544780268.094 * [misc]backup-simplify: Simplify 0 into 0 1544780268.094 * [misc]backup-simplify: Simplify 1 into 1 1544780268.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.095 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.095 * [misc]backup-simplify: Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0 1544780268.095 * [misc]taylor: Taking taylor expansion of 0 in n 1544780268.095 * [misc]backup-simplify: Simplify 0 into 0 1544780268.095 * [misc]backup-simplify: Simplify 0 into 0 1544780268.095 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1544780268.095 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1544780268.096 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1544780268.096 * [misc]backup-simplify: Simplify (- 1) into -1 1544780268.096 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780268.097 * [misc]backup-simplify: Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2 1544780268.097 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1544780268.097 * [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))))) 1544780268.098 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1544780268.098 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.098 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.098 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.098 * [misc]backup-simplify: Simplify 2 into 2 1544780268.098 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.098 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.098 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.098 * [misc]taylor: Taking taylor expansion of n in n 1544780268.098 * [misc]backup-simplify: Simplify 0 into 0 1544780268.098 * [misc]backup-simplify: Simplify 1 into 1 1544780268.098 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.098 * [misc]backup-simplify: Simplify PI into PI 1544780268.099 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.099 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.099 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.099 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.100 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780268.100 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.100 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.100 * [misc]backup-simplify: Simplify 0 into 0 1544780268.100 * [misc]backup-simplify: Simplify 0 into 0 1544780268.100 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780268.101 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.101 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1544780268.101 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1544780268.103 * [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 1544780268.103 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0 1544780268.104 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1544780268.106 * [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))) 1544780268.108 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1544780268.108 * [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 1544780268.108 * [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 1544780268.108 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.108 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.108 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.108 * [misc]backup-simplify: Simplify 2 into 2 1544780268.108 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.108 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.108 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.108 * [misc]backup-simplify: Simplify 2 into 2 1544780268.108 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.108 * [misc]taylor: Taking taylor expansion of n in n 1544780268.108 * [misc]backup-simplify: Simplify 0 into 0 1544780268.108 * [misc]backup-simplify: Simplify 1 into 1 1544780268.108 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.108 * [misc]backup-simplify: Simplify PI into PI 1544780268.108 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.109 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780268.109 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.109 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780268.110 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.110 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.110 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.110 * [misc]taylor: Taking taylor expansion of n in n 1544780268.110 * [misc]backup-simplify: Simplify 0 into 0 1544780268.110 * [misc]backup-simplify: Simplify 1 into 1 1544780268.110 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.110 * [misc]backup-simplify: Simplify PI into PI 1544780268.110 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.111 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.111 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.111 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544780268.111 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780268.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.111 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780268.111 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.111 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.111 * [misc]backup-simplify: Simplify 2 into 2 1544780268.111 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.112 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.112 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.112 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.112 * [misc]taylor: Taking taylor expansion of n in n 1544780268.112 * [misc]backup-simplify: Simplify 0 into 0 1544780268.112 * [misc]backup-simplify: Simplify 1 into 1 1544780268.112 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.112 * [misc]backup-simplify: Simplify PI into PI 1544780268.112 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.113 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.113 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.114 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.114 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.115 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544780268.116 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544780268.116 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.116 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780268.117 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.117 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.117 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.117 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.117 * [misc]backup-simplify: Simplify 0 into 0 1544780268.118 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.120 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.122 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.124 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.124 * [misc]backup-simplify: Simplify 0 into 0 1544780268.124 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.125 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.126 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544780268.127 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1544780268.131 * [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 1544780268.131 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.132 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 1544780268.133 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1544780268.136 * [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))) 1544780268.141 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) 1544780268.141 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n 1544780268.141 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n 1544780268.141 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1544780268.141 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.141 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.142 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.142 * [misc]backup-simplify: Simplify 2 into 2 1544780268.142 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.142 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.142 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.142 * [misc]backup-simplify: Simplify 2 into 2 1544780268.142 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.142 * [misc]taylor: Taking taylor expansion of n in n 1544780268.142 * [misc]backup-simplify: Simplify 0 into 0 1544780268.142 * [misc]backup-simplify: Simplify 1 into 1 1544780268.143 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.143 * [misc]backup-simplify: Simplify PI into PI 1544780268.143 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.143 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780268.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.145 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780268.145 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.145 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.145 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.145 * [misc]taylor: Taking taylor expansion of n in n 1544780268.145 * [misc]backup-simplify: Simplify 0 into 0 1544780268.145 * [misc]backup-simplify: Simplify 1 into 1 1544780268.145 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.145 * [misc]backup-simplify: Simplify PI into PI 1544780268.146 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.146 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.147 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.147 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n 1544780268.147 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n 1544780268.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780268.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.147 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780268.147 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.147 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.147 * [misc]backup-simplify: Simplify 2 into 2 1544780268.148 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.148 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.148 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.148 * [misc]taylor: Taking taylor expansion of n in n 1544780268.148 * [misc]backup-simplify: Simplify 0 into 0 1544780268.148 * [misc]backup-simplify: Simplify 1 into 1 1544780268.148 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.148 * [misc]backup-simplify: Simplify PI into PI 1544780268.148 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.149 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.150 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.150 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n 1544780268.150 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1544780268.150 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.150 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.150 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1544780268.150 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1544780268.150 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780268.150 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.150 * [misc]backup-simplify: Simplify 2 into 2 1544780268.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780268.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780268.150 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1544780268.151 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544780268.151 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544780268.151 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.151 * [misc]backup-simplify: Simplify 2 into 2 1544780268.151 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.151 * [misc]taylor: Taking taylor expansion of n in n 1544780268.151 * [misc]backup-simplify: Simplify 0 into 0 1544780268.151 * [misc]backup-simplify: Simplify 1 into 1 1544780268.151 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.151 * [misc]backup-simplify: Simplify PI into PI 1544780268.151 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.151 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780268.152 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.153 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544780268.153 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.154 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780268.154 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780268.154 * [misc]taylor: Taking taylor expansion of n in n 1544780268.154 * [misc]backup-simplify: Simplify 0 into 0 1544780268.154 * [misc]backup-simplify: Simplify 1 into 1 1544780268.154 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.154 * [misc]backup-simplify: Simplify PI into PI 1544780268.154 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780268.155 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780268.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.156 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780268.157 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.157 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1544780268.158 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1544780268.159 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.159 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780268.159 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.160 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.161 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.162 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1544780268.163 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1544780268.164 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.165 * [misc]backup-simplify: Simplify 0 into 0 1544780268.167 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780268.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544780268.171 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780268.172 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544780268.173 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544780268.174 * [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)))))))) 1544780268.178 * [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)))))))) 1544780268.179 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.181 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.182 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780268.187 * [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)))))))))) 1544780268.191 * [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))))))) 1544780268.193 * [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))))))) 1544780268.194 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780268.195 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544780268.196 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544780268.198 * [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)))) 1544780268.201 * [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)))) 1544780268.202 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780268.203 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780268.208 * [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))))))))))))) 1544780268.209 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) 1544780268.209 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0 1544780268.209 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.209 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.209 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.209 * [misc]backup-simplify: Simplify 1 into 1 1544780268.209 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of k in n 1544780268.209 * [misc]backup-simplify: Simplify k into k 1544780268.209 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.209 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.209 * [misc]backup-simplify: Simplify 2 into 2 1544780268.209 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.209 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.209 * [misc]backup-simplify: Simplify PI into PI 1544780268.209 * [misc]taylor: Taking taylor expansion of n in n 1544780268.210 * [misc]backup-simplify: Simplify 0 into 0 1544780268.210 * [misc]backup-simplify: Simplify 1 into 1 1544780268.210 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.210 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.210 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.210 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780268.210 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780268.210 * [misc]backup-simplify: Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k))) 1544780268.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780268.211 * [misc]backup-simplify: Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780268.212 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780268.212 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780268.212 * [misc]taylor: Taking taylor expansion of k in n 1544780268.212 * [misc]backup-simplify: Simplify k into k 1544780268.212 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780268.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780268.212 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.212 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.212 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.212 * [misc]backup-simplify: Simplify 1 into 1 1544780268.212 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of k in k 1544780268.212 * [misc]backup-simplify: Simplify 0 into 0 1544780268.212 * [misc]backup-simplify: Simplify 1 into 1 1544780268.212 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.212 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of 2 in k 1544780268.212 * [misc]backup-simplify: Simplify 2 into 2 1544780268.212 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780268.212 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.212 * [misc]backup-simplify: Simplify PI into PI 1544780268.212 * [misc]taylor: Taking taylor expansion of n in k 1544780268.213 * [misc]backup-simplify: Simplify n into n 1544780268.213 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780268.213 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544780268.213 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544780268.213 * [misc]backup-simplify: Simplify (- 1) into -1 1544780268.213 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780268.213 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544780268.213 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544780268.213 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544780268.213 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780268.213 * [misc]taylor: Taking taylor expansion of k in k 1544780268.213 * [misc]backup-simplify: Simplify 0 into 0 1544780268.213 * [misc]backup-simplify: Simplify 1 into 1 1544780268.214 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.214 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.214 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.214 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.214 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.214 * [misc]backup-simplify: Simplify 1 into 1 1544780268.214 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of k in k 1544780268.214 * [misc]backup-simplify: Simplify 0 into 0 1544780268.214 * [misc]backup-simplify: Simplify 1 into 1 1544780268.214 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.214 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of 2 in k 1544780268.214 * [misc]backup-simplify: Simplify 2 into 2 1544780268.214 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780268.214 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.214 * [misc]backup-simplify: Simplify PI into PI 1544780268.214 * [misc]taylor: Taking taylor expansion of n in k 1544780268.214 * [misc]backup-simplify: Simplify n into n 1544780268.214 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780268.214 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544780268.215 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544780268.215 * [misc]backup-simplify: Simplify (- 1) into -1 1544780268.215 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 1544780268.215 * [misc]backup-simplify: Simplify (* 1/2 -1) into -1/2 1544780268.215 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544780268.215 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 1544780268.215 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780268.215 * [misc]taylor: Taking taylor expansion of k in k 1544780268.215 * [misc]backup-simplify: Simplify 0 into 0 1544780268.215 * [misc]backup-simplify: Simplify 1 into 1 1544780268.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.216 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780268.216 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0 1544780268.216 * [misc]taylor: Taking taylor expansion of 0 in n 1544780268.216 * [misc]backup-simplify: Simplify 0 into 0 1544780268.216 * [misc]backup-simplify: Simplify 0 into 0 1544780268.216 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544780268.216 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544780268.216 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544780268.216 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.216 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.216 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544780268.216 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544780268.216 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.216 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544780268.216 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780268.217 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.217 * [misc]backup-simplify: Simplify 1 into 1 1544780268.217 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.217 * [misc]taylor: Taking taylor expansion of k in n 1544780268.217 * [misc]backup-simplify: Simplify k into k 1544780268.217 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.217 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780268.217 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.217 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.217 * [misc]backup-simplify: Simplify 2 into 2 1544780268.217 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.217 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.217 * [misc]backup-simplify: Simplify PI into PI 1544780268.217 * [misc]taylor: Taking taylor expansion of n in n 1544780268.217 * [misc]backup-simplify: Simplify 0 into 0 1544780268.217 * [misc]backup-simplify: Simplify 1 into 1 1544780268.217 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.217 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.218 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.218 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780268.218 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780268.218 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780268.219 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544780268.219 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780268.220 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780268.220 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544780268.221 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.221 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.221 * [misc]backup-simplify: Simplify 0 into 0 1544780268.223 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.224 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544780268.224 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.224 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.224 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.224 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.224 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.224 * [misc]backup-simplify: Simplify 1 into 1 1544780268.224 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of k in n 1544780268.224 * [misc]backup-simplify: Simplify k into k 1544780268.224 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.224 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.224 * [misc]backup-simplify: Simplify 2 into 2 1544780268.224 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.224 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.224 * [misc]backup-simplify: Simplify PI into PI 1544780268.224 * [misc]taylor: Taking taylor expansion of n in n 1544780268.224 * [misc]backup-simplify: Simplify 0 into 0 1544780268.224 * [misc]backup-simplify: Simplify 1 into 1 1544780268.224 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.225 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.225 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.225 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780268.225 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780268.226 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780268.226 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544780268.226 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780268.227 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780268.227 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544780268.228 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.228 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.229 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780268.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544780268.232 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544780268.232 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780268.232 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.233 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780268.233 * [misc]backup-simplify: Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544780268.234 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0 1544780268.235 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780268.236 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0 1544780268.236 * [misc]backup-simplify: Simplify (- 0) into 0 1544780268.236 * [misc]backup-simplify: Simplify 0 into 0 1544780268.236 * [misc]backup-simplify: Simplify 0 into 0 1544780268.237 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.237 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) 1544780268.237 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.237 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.237 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.237 * [misc]taylor: Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 k)) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.237 * [misc]backup-simplify: Simplify 1 into 1 1544780268.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of k in n 1544780268.237 * [misc]backup-simplify: Simplify k into k 1544780268.237 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.237 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544780268.237 * [misc]taylor: Taking taylor expansion of 2 in n 1544780268.237 * [misc]backup-simplify: Simplify 2 into 2 1544780268.237 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.238 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.238 * [misc]backup-simplify: Simplify PI into PI 1544780268.238 * [misc]taylor: Taking taylor expansion of n in n 1544780268.238 * [misc]backup-simplify: Simplify 0 into 0 1544780268.238 * [misc]backup-simplify: Simplify 1 into 1 1544780268.238 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.238 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544780268.238 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544780268.238 * [misc]backup-simplify: Simplify (- (/ 1 k)) into (- (/ 1 k)) 1544780268.238 * [misc]backup-simplify: Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k)) 1544780268.239 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544780268.239 * [misc]backup-simplify: Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) 1544780268.240 * [misc]backup-simplify: Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) 1544780268.240 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 1544780268.241 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) 1544780268.241 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.242 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) 1544780268.245 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544780268.245 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) 1544780268.245 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0 1544780268.246 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.246 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of k in n 1544780268.246 * [misc]backup-simplify: Simplify k into k 1544780268.246 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.246 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.246 * [misc]backup-simplify: Simplify 1 into 1 1544780268.246 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.246 * [misc]backup-simplify: Simplify -2 into -2 1544780268.246 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.246 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.246 * [misc]backup-simplify: Simplify PI into PI 1544780268.246 * [misc]taylor: Taking taylor expansion of n in n 1544780268.246 * [misc]backup-simplify: Simplify 0 into 0 1544780268.246 * [misc]backup-simplify: Simplify 1 into 1 1544780268.247 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.247 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.247 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780268.248 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780268.248 * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1)) 1544780268.248 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.249 * [misc]backup-simplify: Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log (* -2 PI)) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780268.250 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780268.250 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780268.250 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780268.250 * [misc]taylor: Taking taylor expansion of -1 in n 1544780268.250 * [misc]backup-simplify: Simplify -1 into -1 1544780268.250 * [misc]taylor: Taking taylor expansion of k in n 1544780268.250 * [misc]backup-simplify: Simplify k into k 1544780268.250 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780268.250 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780268.250 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780268.250 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780268.251 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) 1544780268.251 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544780268.251 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544780268.251 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544780268.251 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.252 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of k in k 1544780268.252 * [misc]backup-simplify: Simplify 0 into 0 1544780268.252 * [misc]backup-simplify: Simplify 1 into 1 1544780268.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.252 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.252 * [misc]backup-simplify: Simplify 1 into 1 1544780268.252 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of -2 in k 1544780268.252 * [misc]backup-simplify: Simplify -2 into -2 1544780268.252 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780268.252 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.252 * [misc]backup-simplify: Simplify PI into PI 1544780268.252 * [misc]taylor: Taking taylor expansion of n in k 1544780268.252 * [misc]backup-simplify: Simplify n into n 1544780268.252 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780268.252 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544780268.253 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544780268.253 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780268.253 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780268.253 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544780268.254 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544780268.254 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780268.254 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780268.254 * [misc]taylor: Taking taylor expansion of -1 in k 1544780268.254 * [misc]backup-simplify: Simplify -1 into -1 1544780268.254 * [misc]taylor: Taking taylor expansion of k in k 1544780268.254 * [misc]backup-simplify: Simplify 0 into 0 1544780268.254 * [misc]backup-simplify: Simplify 1 into 1 1544780268.254 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780268.254 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.255 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780268.255 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1544780268.255 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780268.255 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.255 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780268.255 * [misc]taylor: Taking taylor expansion of k in k 1544780268.255 * [misc]backup-simplify: Simplify 0 into 0 1544780268.255 * [misc]backup-simplify: Simplify 1 into 1 1544780268.256 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780268.256 * [misc]taylor: Taking taylor expansion of 1 in k 1544780268.256 * [misc]backup-simplify: Simplify 1 into 1 1544780268.256 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544780268.256 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544780268.256 * [misc]taylor: Taking taylor expansion of -2 in k 1544780268.256 * [misc]backup-simplify: Simplify -2 into -2 1544780268.256 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544780268.256 * [misc]taylor: Taking taylor expansion of PI in k 1544780268.256 * [misc]backup-simplify: Simplify PI into PI 1544780268.256 * [misc]taylor: Taking taylor expansion of n in k 1544780268.256 * [misc]backup-simplify: Simplify n into n 1544780268.256 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544780268.256 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544780268.256 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544780268.256 * [misc]backup-simplify: Simplify (+ 1 0) into 1 1544780268.257 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780268.257 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544780268.257 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) 1544780268.257 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780268.257 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780268.257 * [misc]taylor: Taking taylor expansion of -1 in k 1544780268.257 * [misc]backup-simplify: Simplify -1 into -1 1544780268.257 * [misc]taylor: Taking taylor expansion of k in k 1544780268.257 * [misc]backup-simplify: Simplify 0 into 0 1544780268.257 * [misc]backup-simplify: Simplify 1 into 1 1544780268.258 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780268.258 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780268.258 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780268.259 * [misc]backup-simplify: Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) 1544780268.259 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.259 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.259 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.259 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.259 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.259 * [misc]backup-simplify: Simplify -2 into -2 1544780268.259 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.259 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.259 * [misc]backup-simplify: Simplify PI into PI 1544780268.259 * [misc]taylor: Taking taylor expansion of n in n 1544780268.259 * [misc]backup-simplify: Simplify 0 into 0 1544780268.259 * [misc]backup-simplify: Simplify 1 into 1 1544780268.260 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.260 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.260 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780268.260 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780268.260 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.260 * [misc]taylor: Taking taylor expansion of k in n 1544780268.261 * [misc]backup-simplify: Simplify k into k 1544780268.261 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.261 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.261 * [misc]backup-simplify: Simplify 1 into 1 1544780268.261 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.261 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780268.262 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544780268.263 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780268.264 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780268.265 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544780268.265 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544780268.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780268.267 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780268.268 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544780268.268 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.268 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.268 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.268 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.268 * [misc]backup-simplify: Simplify -2 into -2 1544780268.268 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.268 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.268 * [misc]backup-simplify: Simplify PI into PI 1544780268.268 * [misc]taylor: Taking taylor expansion of n in n 1544780268.268 * [misc]backup-simplify: Simplify 0 into 0 1544780268.268 * [misc]backup-simplify: Simplify 1 into 1 1544780268.269 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.269 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.269 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780268.270 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780268.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.270 * [misc]taylor: Taking taylor expansion of k in n 1544780268.270 * [misc]backup-simplify: Simplify k into k 1544780268.270 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.270 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.270 * [misc]backup-simplify: Simplify 1 into 1 1544780268.270 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.271 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780268.271 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544780268.272 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780268.273 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780268.274 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544780268.274 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544780268.275 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544780268.276 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.276 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780268.276 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780268.278 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544780268.278 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544780268.282 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544780268.283 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0 1544780268.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0 1544780268.285 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780268.287 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0 1544780268.287 * [misc]backup-simplify: Simplify 0 into 0 1544780268.287 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780268.288 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780268.290 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) 1544780268.290 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780268.290 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780268.290 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780268.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780268.290 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of -2 in n 1544780268.290 * [misc]backup-simplify: Simplify -2 into -2 1544780268.290 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544780268.290 * [misc]taylor: Taking taylor expansion of PI in n 1544780268.290 * [misc]backup-simplify: Simplify PI into PI 1544780268.290 * [misc]taylor: Taking taylor expansion of n in n 1544780268.290 * [misc]backup-simplify: Simplify 0 into 0 1544780268.290 * [misc]backup-simplify: Simplify 1 into 1 1544780268.291 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544780268.291 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544780268.292 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544780268.292 * [misc]taylor: Taking taylor expansion of (+ (/ 1 k) 1) in n 1544780268.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780268.292 * [misc]taylor: Taking taylor expansion of k in n 1544780268.292 * [misc]backup-simplify: Simplify k into k 1544780268.292 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780268.292 * [misc]taylor: Taking taylor expansion of 1 in n 1544780268.292 * [misc]backup-simplify: Simplify 1 into 1 1544780268.293 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544780268.293 * [misc]backup-simplify: Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1) 1544780268.293 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) 1544780268.294 * [misc]backup-simplify: Simplify (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) 1544780268.295 * [misc]backup-simplify: Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) 1544780268.296 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) 1544780268.297 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544780268.297 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) 1544780268.301 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1544780268.301 * * * [misc]progress: simplifying candidates 1544780268.301 * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # 1544780268.301 * [enter]simplify: Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)) 1544780268.302 * * [misc]simplify: iters left: 6 (11 enodes) 1544780268.310 * * [misc]simplify: iters left: 5 (29 enodes) 1544780268.323 * * [misc]simplify: iters left: 4 (59 enodes) 1544780268.356 * * [misc]simplify: iters left: 3 (142 enodes) 1544780268.476 * * [misc]simplify: iters left: 2 (497 enodes) 1544780269.267 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) 1544780269.267 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))))) 1544780269.267 * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # 1544780269.267 * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # 1544780269.267 * [enter]simplify: Simplifying (* (* 2 PI) n) 1544780269.268 * * [misc]simplify: iters left: 4 (5 enodes) 1544780269.270 * * [misc]simplify: iters left: 3 (9 enodes) 1544780269.272 * * [misc]simplify: iters left: 2 (15 enodes) 1544780269.275 * * [misc]simplify: iters left: 1 (17 enodes) 1544780269.277 * [exit]simplify: Simplified to (* (* 2 PI) n) 1544780269.277 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2))))) 1544780269.277 * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # 1544780269.278 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544780269.278 * * [misc]simplify: iters left: 5 (8 enodes) 1544780269.280 * * [misc]simplify: iters left: 4 (12 enodes) 1544780269.283 * * [misc]simplify: iters left: 3 (18 enodes) 1544780269.286 * * [misc]simplify: iters left: 2 (20 enodes) 1544780269.289 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544780269.289 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))))) 1544780269.289 * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # 1544780269.289 * [enter]simplify: Simplifying (cbrt (/ (- 1 k) 2)) 1544780269.289 * * [misc]simplify: iters left: 5 (6 enodes) 1544780269.292 * * [misc]simplify: iters left: 4 (14 enodes) 1544780269.296 * * [misc]simplify: iters left: 3 (17 enodes) 1544780269.301 * * [misc]simplify: iters left: 2 (19 enodes) 1544780269.306 * [exit]simplify: Simplified to (cbrt (/ (- 1 k) 2)) 1544780269.306 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) 1544780269.306 * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # 1544780269.307 * [enter]simplify: Simplifying (sqrt (/ (- 1 k) 2)) 1544780269.307 * * [misc]simplify: iters left: 5 (6 enodes) 1544780269.311 * * [misc]simplify: iters left: 4 (14 enodes) 1544780269.315 * * [misc]simplify: iters left: 3 (17 enodes) 1544780269.318 * * [misc]simplify: iters left: 2 (19 enodes) 1544780269.320 * [exit]simplify: Simplified to (sqrt (/ (- 1 k) 2)) 1544780269.320 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) 1544780269.320 * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # 1544780269.320 * [enter]simplify: Simplifying (/ (- 1 k) 2) 1544780269.321 * * [misc]simplify: iters left: 4 (5 enodes) 1544780269.323 * * [misc]simplify: iters left: 3 (13 enodes) 1544780269.325 * * [misc]simplify: iters left: 2 (16 enodes) 1544780269.327 * * [misc]simplify: iters left: 1 (18 enodes) 1544780269.329 * [exit]simplify: Simplified to (/ (- 1 k) 2) 1544780269.329 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2)))) 1544780269.329 * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # 1544780269.329 * [enter]simplify: Simplifying (/ 1 2) 1544780269.330 * * [misc]simplify: iters left: 2 (3 enodes) 1544780269.331 * * [misc]simplify: iters left: 1 (6 enodes) 1544780269.331 * [exit]simplify: Simplified to 1/2 1544780269.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2))) 1544780269.331 * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # 1544780269.332 * [enter]simplify: Simplifying (pow (* 2 PI) (/ (- 1 k) 2)) 1544780269.332 * * [misc]simplify: iters left: 5 (8 enodes) 1544780269.335 * * [misc]simplify: iters left: 4 (17 enodes) 1544780269.337 * * [misc]simplify: iters left: 3 (20 enodes) 1544780269.340 * * [misc]simplify: iters left: 2 (22 enodes) 1544780269.344 * [exit]simplify: Simplified to (pow (* 2 PI) (- 1/2 (/ k 2))) 1544780269.344 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1 k) 2))))) 1544780269.344 * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # 1544780269.344 * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # 1544780269.344 * [enter]simplify: Simplifying (- 1/2) 1544780269.345 * * [misc]simplify: iters left: 2 (2 enodes) 1544780269.345 * * [misc]simplify: iters left: 1 (3 enodes) 1544780269.346 * [exit]simplify: Simplified to -1/2 1544780269.346 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.346 * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # 1544780269.346 * [enter]simplify: Simplifying (- 1) 1544780269.346 * * [misc]simplify: iters left: 2 (2 enodes) 1544780269.347 * * [misc]simplify: iters left: 1 (5 enodes) 1544780269.347 * [exit]simplify: Simplified to -1 1544780269.347 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.347 * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # 1544780269.347 * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # 1544780269.348 * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # 1544780269.348 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544780269.348 * * [misc]simplify: iters left: 2 (3 enodes) 1544780269.349 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544780269.349 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.349 * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # 1544780269.349 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544780269.349 * * [misc]simplify: iters left: 2 (3 enodes) 1544780269.350 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544780269.350 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.350 * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # 1544780269.350 * [enter]simplify: Simplifying (sqrt k) 1544780269.350 * * [misc]simplify: iters left: 1 (2 enodes) 1544780269.350 * [exit]simplify: Simplified to (sqrt k) 1544780269.350 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.350 * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # 1544780269.350 * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # 1544780269.350 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544780269.351 * * [misc]simplify: iters left: 6 (15 enodes) 1544780269.363 * * [misc]simplify: iters left: 5 (34 enodes) 1544780269.378 * * [misc]simplify: iters left: 4 (65 enodes) 1544780269.407 * * [misc]simplify: iters left: 3 (160 enodes) 1544780269.586 * [exit]simplify: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780269.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780269.586 * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # 1544780269.586 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544780269.588 * * [misc]simplify: iters left: 6 (15 enodes) 1544780269.597 * * [misc]simplify: iters left: 5 (34 enodes) 1544780269.613 * * [misc]simplify: iters left: 4 (65 enodes) 1544780269.651 * * [misc]simplify: iters left: 3 (160 enodes) 1544780269.896 * [exit]simplify: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780269.896 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780269.896 * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # 1544780269.896 * [enter]simplify: Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780269.898 * * [misc]simplify: iters left: 6 (15 enodes) 1544780269.906 * * [misc]simplify: iters left: 5 (30 enodes) 1544780269.918 * * [misc]simplify: iters left: 4 (50 enodes) 1544780269.940 * * [misc]simplify: iters left: 3 (97 enodes) 1544780269.978 * * [misc]simplify: iters left: 2 (285 enodes) 1544780270.432 * [exit]simplify: Simplified to (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))) 1544780270.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* 2 (* n PI)))) (log (sqrt k))))) 1544780270.432 * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # 1544780270.432 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544780270.433 * * [misc]simplify: iters left: 6 (15 enodes) 1544780270.439 * * [misc]simplify: iters left: 5 (38 enodes) 1544780270.455 * * [misc]simplify: iters left: 4 (69 enodes) 1544780270.485 * * [misc]simplify: iters left: 3 (167 enodes) 1544780270.653 * [exit]simplify: Simplified to (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k))) 1544780270.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k))))) 1544780270.653 * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # 1544780270.653 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))) 1544780270.654 * * [misc]simplify: iters left: 6 (15 enodes) 1544780270.663 * * [misc]simplify: iters left: 5 (38 enodes) 1544780270.678 * * [misc]simplify: iters left: 4 (69 enodes) 1544780270.699 * * [misc]simplify: iters left: 3 (167 enodes) 1544780270.878 * [exit]simplify: Simplified to (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k))) 1544780270.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (/ (log (* PI (* n 2))) (/ 2 (- 1 k))) (log (sqrt k))))) 1544780270.878 * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # 1544780270.878 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780270.880 * * [misc]simplify: iters left: 6 (15 enodes) 1544780270.889 * * [misc]simplify: iters left: 5 (34 enodes) 1544780270.903 * * [misc]simplify: iters left: 4 (54 enodes) 1544780270.923 * * [misc]simplify: iters left: 3 (105 enodes) 1544780270.966 * * [misc]simplify: iters left: 2 (329 enodes) 1544780271.523 * [exit]simplify: Simplified to (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780271.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780271.523 * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # 1544780271.523 * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # 1544780271.523 * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # 1544780271.523 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780271.525 * * [misc]simplify: iters left: 6 (17 enodes) 1544780271.530 * * [misc]simplify: iters left: 5 (42 enodes) 1544780271.544 * * [misc]simplify: iters left: 4 (98 enodes) 1544780271.593 * * [misc]simplify: iters left: 3 (175 enodes) 1544780271.676 * * [misc]simplify: iters left: 2 (325 enodes) 1544780271.934 * * [misc]simplify: iters left: 1 (454 enodes) 1544780272.164 * [exit]simplify: Simplified to (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k))) 1544780272.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (* (sqrt k) k))))) 1544780272.164 * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # 1544780272.165 * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # 1544780272.165 * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # 1544780272.165 * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # 1544780272.165 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2))) 1544780272.166 * * [misc]simplify: iters left: 6 (9 enodes) 1544780272.171 * * [misc]simplify: iters left: 5 (17 enodes) 1544780272.181 * * [misc]simplify: iters left: 4 (26 enodes) 1544780272.188 * * [misc]simplify: iters left: 3 (27 enodes) 1544780272.195 * [exit]simplify: Simplified to (sqrt (* PI (* 2 n))) 1544780272.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))))) 1544780272.196 * [enter]simplify: Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2))) 1544780272.197 * * [misc]simplify: iters left: 6 (10 enodes) 1544780272.201 * * [misc]simplify: iters left: 5 (15 enodes) 1544780272.206 * * [misc]simplify: iters left: 4 (21 enodes) 1544780272.213 * * [misc]simplify: iters left: 3 (22 enodes) 1544780272.221 * [exit]simplify: Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)) 1544780272.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k)))) 1544780272.221 * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # 1544780272.221 * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # 1544780272.222 * [enter]simplify: Simplifying (pow n (/ (- 1 k) 2)) 1544780272.222 * * [misc]simplify: iters left: 5 (7 enodes) 1544780272.226 * * [misc]simplify: iters left: 4 (15 enodes) 1544780272.231 * * [misc]simplify: iters left: 3 (18 enodes) 1544780272.236 * * [misc]simplify: iters left: 2 (20 enodes) 1544780272.241 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544780272.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2))))) 1544780272.241 * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # 1544780272.242 * [enter]simplify: Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544780272.243 * * [misc]simplify: iters left: 6 (11 enodes) 1544780272.249 * * [misc]simplify: iters left: 5 (23 enodes) 1544780272.257 * * [misc]simplify: iters left: 4 (32 enodes) 1544780272.266 * * [misc]simplify: iters left: 3 (35 enodes) 1544780272.277 * [exit]simplify: Simplified to (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544780272.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544780272.277 * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # 1544780272.277 * [enter]simplify: Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544780272.278 * * [misc]simplify: iters left: 6 (11 enodes) 1544780272.285 * * [misc]simplify: iters left: 5 (23 enodes) 1544780272.293 * * [misc]simplify: iters left: 4 (32 enodes) 1544780272.302 * * [misc]simplify: iters left: 3 (35 enodes) 1544780272.311 * [exit]simplify: Simplified to (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))) 1544780272.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* PI (* n 2)) (/ (- 1 k) 2))))) 1544780272.312 * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # 1544780272.312 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1544780272.312 * * [misc]simplify: iters left: 5 (10 enodes) 1544780272.316 * * [misc]simplify: iters left: 4 (22 enodes) 1544780272.319 * * [misc]simplify: iters left: 3 (31 enodes) 1544780272.324 * * [misc]simplify: iters left: 2 (34 enodes) 1544780272.329 * [exit]simplify: Simplified to (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1544780272.329 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1544780272.329 * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # 1544780272.329 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544780272.330 * * [misc]simplify: iters left: 6 (6 enodes) 1544780272.331 * * [misc]simplify: iters left: 5 (8 enodes) 1544780272.332 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) 1544780272.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544780272.332 * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # 1544780272.333 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt k))) 1544780272.333 * * [misc]simplify: iters left: 4 (5 enodes) 1544780272.334 * * [misc]simplify: iters left: 3 (7 enodes) 1544780272.335 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt k))) 1544780272.335 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) 1544780272.335 * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # 1544780272.335 * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # 1544780272.335 * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # 1544780272.335 * [enter]simplify: Simplifying (pow (* (* 2 PI) n) (/ k 2)) 1544780272.335 * * [misc]simplify: iters left: 5 (8 enodes) 1544780272.337 * * [misc]simplify: iters left: 4 (12 enodes) 1544780272.340 * * [misc]simplify: iters left: 3 (18 enodes) 1544780272.343 * * [misc]simplify: iters left: 2 (20 enodes) 1544780272.346 * [exit]simplify: Simplified to (pow (* 2 (* n PI)) (/ k 2)) 1544780272.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* 2 (* n PI)) (/ k 2)))) 1544780272.346 * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # 1544780272.346 * [enter]simplify: Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544780272.346 * * [misc]simplify: iters left: 6 (11 enodes) 1544780272.350 * * [misc]simplify: iters left: 5 (24 enodes) 1544780272.355 * * [misc]simplify: iters left: 4 (35 enodes) 1544780272.360 * * [misc]simplify: iters left: 3 (38 enodes) 1544780272.365 * [exit]simplify: Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2))) 1544780272.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780272.365 * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # 1544780272.365 * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # 1544780272.365 * [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))))) 1544780272.368 * * [misc]simplify: iters left: 6 (37 enodes) 1544780272.396 * * [misc]simplify: iters left: 5 (105 enodes) 1544780272.447 * * [misc]simplify: iters left: 4 (339 enodes) 1544780272.960 * [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))))) 1544780272.960 * [misc]simplify: Simplified (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))))))) 1544780272.961 * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # 1544780272.961 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 1544780272.963 * * [misc]simplify: iters left: 6 (15 enodes) 1544780272.973 * * [misc]simplify: iters left: 5 (35 enodes) 1544780272.996 * * [misc]simplify: iters left: 4 (72 enodes) 1544780273.049 * * [misc]simplify: iters left: 3 (234 enodes) 1544780273.336 * [exit]simplify: Simplified to (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))) 1544780273.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow n (- 1/2 (* 1/2 k))) (pow (* 2 PI) (- 1/2 (* 1/2 k)))))) 1544780273.336 * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # 1544780273.337 * [enter]simplify: Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544780273.337 * * [misc]simplify: iters left: 6 (16 enodes) 1544780273.343 * * [misc]simplify: iters left: 5 (35 enodes) 1544780273.355 * * [misc]simplify: iters left: 4 (76 enodes) 1544780273.407 * * [misc]simplify: iters left: 3 (272 enodes) 1544780273.763 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1544780273.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))))) 1544780273.763 * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # 1544780273.764 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780273.764 * * [misc]simplify: iters left: 4 (5 enodes) 1544780273.767 * * [misc]simplify: iters left: 3 (9 enodes) 1544780273.773 * * [misc]simplify: iters left: 2 (15 enodes) 1544780273.778 * * [misc]simplify: iters left: 1 (17 enodes) 1544780273.783 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780273.783 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544780273.783 * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # 1544780273.784 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780273.784 * * [misc]simplify: iters left: 4 (5 enodes) 1544780273.787 * * [misc]simplify: iters left: 3 (9 enodes) 1544780273.791 * * [misc]simplify: iters left: 2 (15 enodes) 1544780273.795 * * [misc]simplify: iters left: 1 (17 enodes) 1544780273.798 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780273.798 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544780273.798 * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # 1544780273.798 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544780273.799 * * [misc]simplify: iters left: 4 (5 enodes) 1544780273.800 * * [misc]simplify: iters left: 3 (9 enodes) 1544780273.802 * * [misc]simplify: iters left: 2 (15 enodes) 1544780273.805 * * [misc]simplify: iters left: 1 (17 enodes) 1544780273.807 * [exit]simplify: Simplified to (* (* PI n) 2) 1544780273.807 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2)))) 1544780273.807 * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # 1544780273.807 * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 1544780273.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780273.808 * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # 1544780273.808 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 1544780273.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780273.808 * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # 1544780273.808 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1544780273.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) 1544780273.808 * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # 1544780273.808 * [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))))))))))))) 1544780273.808 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780273.808 * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # 1544780273.808 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 1544780273.808 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780273.808 * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # 1544780273.808 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1544780273.808 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780273.808 * * * [misc]progress: adding candidates to table 1544780275.382 * * [misc]progress: iteration 3 / 4 1544780275.382 * * * [misc]progress: picking best candidate 1544780275.493 * * * * [misc]pick: Picked # 1544780275.493 * * * [misc]progress: localizing error 1544780275.510 * * * [misc]progress: generating rewritten candidates 1544780275.510 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544780275.526 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1544780275.535 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544780275.600 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1544780275.643 * * * [misc]progress: generating series expansions 1544780275.643 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544780275.643 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544780275.644 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544780275.644 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.644 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.644 * [misc]taylor: Taking taylor expansion of k in k 1544780275.644 * [misc]backup-simplify: Simplify 0 into 0 1544780275.644 * [misc]backup-simplify: Simplify 1 into 1 1544780275.644 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780275.644 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.644 * [misc]backup-simplify: Simplify 2 into 2 1544780275.644 * [misc]taylor: Taking taylor expansion of n in k 1544780275.644 * [misc]backup-simplify: Simplify n into n 1544780275.644 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780275.644 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780275.644 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.644 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.644 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.644 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780275.645 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780275.645 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.645 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.645 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.645 * [misc]taylor: Taking taylor expansion of k in n 1544780275.645 * [misc]backup-simplify: Simplify k into k 1544780275.645 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.645 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.645 * [misc]backup-simplify: Simplify 2 into 2 1544780275.645 * [misc]taylor: Taking taylor expansion of n in n 1544780275.645 * [misc]backup-simplify: Simplify 0 into 0 1544780275.645 * [misc]backup-simplify: Simplify 1 into 1 1544780275.645 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.645 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.645 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.645 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780275.645 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780275.645 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780275.646 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.646 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780275.646 * [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)))) 1544780275.646 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.646 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.646 * [misc]taylor: Taking taylor expansion of k in n 1544780275.646 * [misc]backup-simplify: Simplify k into k 1544780275.646 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.646 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.646 * [misc]backup-simplify: Simplify 2 into 2 1544780275.646 * [misc]taylor: Taking taylor expansion of n in n 1544780275.646 * [misc]backup-simplify: Simplify 0 into 0 1544780275.646 * [misc]backup-simplify: Simplify 1 into 1 1544780275.646 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.647 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.647 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.647 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780275.647 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780275.647 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780275.647 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.647 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780275.647 * [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)))) 1544780275.647 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544780275.647 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.648 * [misc]backup-simplify: Simplify 2 into 2 1544780275.648 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.648 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of n in k 1544780275.648 * [misc]backup-simplify: Simplify n into n 1544780275.648 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780275.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.648 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.648 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.648 * [misc]taylor: Taking taylor expansion of k in k 1544780275.648 * [misc]backup-simplify: Simplify 0 into 0 1544780275.648 * [misc]backup-simplify: Simplify 1 into 1 1544780275.648 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544780275.648 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.648 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.648 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.648 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544780275.649 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544780275.649 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544780275.649 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.651 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780275.651 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544780275.651 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.652 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.652 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544780275.653 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780275.653 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.653 * [misc]backup-simplify: Simplify 0 into 0 1544780275.653 * [misc]backup-simplify: Simplify 0 into 0 1544780275.654 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780275.654 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.654 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.656 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780275.657 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780275.658 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.658 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544780275.659 * [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))))) 1544780275.660 * [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))))) 1544780275.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780275.664 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780275.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544780275.665 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.665 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.666 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544780275.668 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780275.668 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.668 * [misc]backup-simplify: Simplify 0 into 0 1544780275.668 * [misc]backup-simplify: Simplify 0 into 0 1544780275.668 * [misc]backup-simplify: Simplify 0 into 0 1544780275.668 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.669 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.673 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780275.675 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780275.675 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.676 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544780275.678 * [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))))) 1544780275.681 * [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))))) 1544780275.686 * [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))))) 1544780275.687 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.687 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544780275.687 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of k in k 1544780275.687 * [misc]backup-simplify: Simplify 0 into 0 1544780275.687 * [misc]backup-simplify: Simplify 1 into 1 1544780275.687 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.687 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780275.687 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.687 * [misc]backup-simplify: Simplify 2 into 2 1544780275.687 * [misc]taylor: Taking taylor expansion of n in k 1544780275.687 * [misc]backup-simplify: Simplify n into n 1544780275.687 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780275.687 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780275.688 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.688 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.688 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.688 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780275.688 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.688 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780275.688 * [misc]taylor: Taking taylor expansion of k in n 1544780275.688 * [misc]backup-simplify: Simplify k into k 1544780275.689 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780275.689 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780275.689 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780275.689 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.689 * [misc]backup-simplify: Simplify 2 into 2 1544780275.689 * [misc]taylor: Taking taylor expansion of n in n 1544780275.689 * [misc]backup-simplify: Simplify 0 into 0 1544780275.689 * [misc]backup-simplify: Simplify 1 into 1 1544780275.689 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780275.689 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.689 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780275.689 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780275.689 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780275.690 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780275.690 * [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))) 1544780275.690 * [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)))) 1544780275.690 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780275.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.691 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.691 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of k in n 1544780275.691 * [misc]backup-simplify: Simplify k into k 1544780275.691 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780275.691 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780275.691 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.691 * [misc]backup-simplify: Simplify 2 into 2 1544780275.691 * [misc]taylor: Taking taylor expansion of n in n 1544780275.691 * [misc]backup-simplify: Simplify 0 into 0 1544780275.691 * [misc]backup-simplify: Simplify 1 into 1 1544780275.691 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780275.691 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780275.692 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780275.692 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780275.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780275.692 * [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))) 1544780275.693 * [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)))) 1544780275.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.693 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of k in k 1544780275.693 * [misc]backup-simplify: Simplify 0 into 0 1544780275.693 * [misc]backup-simplify: Simplify 1 into 1 1544780275.693 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.693 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780275.693 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.693 * [misc]backup-simplify: Simplify 2 into 2 1544780275.694 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.694 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780275.694 * [misc]taylor: Taking taylor expansion of n in k 1544780275.694 * [misc]backup-simplify: Simplify n into n 1544780275.694 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780275.694 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.694 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.694 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.694 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780275.694 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544780275.695 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544780275.695 * [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)))) 1544780275.695 * [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)))) 1544780275.696 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544780275.698 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780275.699 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780275.699 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780275.699 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.699 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.699 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780275.700 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544780275.701 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780275.701 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.701 * [misc]backup-simplify: Simplify 0 into 0 1544780275.701 * [misc]backup-simplify: Simplify 0 into 0 1544780275.702 * [misc]backup-simplify: Simplify 0 into 0 1544780275.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780275.706 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780275.707 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780275.707 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780275.707 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.707 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.708 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780275.708 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544780275.710 * [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 1544780275.710 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.711 * [misc]backup-simplify: Simplify 0 into 0 1544780275.711 * [misc]backup-simplify: Simplify 0 into 0 1544780275.711 * [misc]backup-simplify: Simplify 0 into 0 1544780275.711 * [misc]backup-simplify: Simplify 0 into 0 1544780275.711 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780275.718 * [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 1544780275.719 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780275.719 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780275.719 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.719 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.720 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780275.720 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544780275.724 * [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 1544780275.724 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.724 * [misc]backup-simplify: Simplify 0 into 0 1544780275.724 * [misc]backup-simplify: Simplify 0 into 0 1544780275.724 * [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)))) 1544780275.725 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.725 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544780275.725 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.725 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of k in k 1544780275.725 * [misc]backup-simplify: Simplify 0 into 0 1544780275.725 * [misc]backup-simplify: Simplify 1 into 1 1544780275.725 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.725 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.725 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.725 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780275.725 * [misc]taylor: Taking taylor expansion of -2 in k 1544780275.725 * [misc]backup-simplify: Simplify -2 into -2 1544780275.725 * [misc]taylor: Taking taylor expansion of n in k 1544780275.726 * [misc]backup-simplify: Simplify n into n 1544780275.726 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780275.726 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780275.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.726 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.726 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780275.726 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.726 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780275.726 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780275.726 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780275.726 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780275.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780275.726 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780275.727 * [misc]taylor: Taking taylor expansion of k in n 1544780275.727 * [misc]backup-simplify: Simplify k into k 1544780275.727 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780275.727 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.727 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780275.727 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780275.727 * [misc]taylor: Taking taylor expansion of -2 in n 1544780275.727 * [misc]backup-simplify: Simplify -2 into -2 1544780275.727 * [misc]taylor: Taking taylor expansion of n in n 1544780275.727 * [misc]backup-simplify: Simplify 0 into 0 1544780275.727 * [misc]backup-simplify: Simplify 1 into 1 1544780275.727 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780275.727 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780275.727 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780275.727 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780275.728 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780275.728 * [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))) 1544780275.728 * [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)))) 1544780275.728 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780275.728 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780275.728 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780275.728 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780275.728 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780275.728 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780275.729 * [misc]taylor: Taking taylor expansion of k in n 1544780275.729 * [misc]backup-simplify: Simplify k into k 1544780275.729 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780275.729 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.729 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780275.729 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780275.729 * [misc]taylor: Taking taylor expansion of -2 in n 1544780275.729 * [misc]backup-simplify: Simplify -2 into -2 1544780275.729 * [misc]taylor: Taking taylor expansion of n in n 1544780275.729 * [misc]backup-simplify: Simplify 0 into 0 1544780275.729 * [misc]backup-simplify: Simplify 1 into 1 1544780275.729 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780275.729 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780275.729 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780275.729 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780275.730 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780275.730 * [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))) 1544780275.731 * [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)))) 1544780275.731 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of k in k 1544780275.731 * [misc]backup-simplify: Simplify 0 into 0 1544780275.731 * [misc]backup-simplify: Simplify 1 into 1 1544780275.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.731 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544780275.731 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544780275.732 * [misc]taylor: Taking taylor expansion of -2 in k 1544780275.732 * [misc]backup-simplify: Simplify -2 into -2 1544780275.732 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780275.732 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780275.732 * [misc]taylor: Taking taylor expansion of n in k 1544780275.732 * [misc]backup-simplify: Simplify n into n 1544780275.732 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780275.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.732 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.732 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780275.732 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544780275.733 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544780275.733 * [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)))) 1544780275.733 * [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)))) 1544780275.734 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544780275.736 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544780275.737 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780275.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780275.737 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.737 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780275.738 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544780275.739 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780275.739 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.739 * [misc]backup-simplify: Simplify 0 into 0 1544780275.739 * [misc]backup-simplify: Simplify 0 into 0 1544780275.739 * [misc]backup-simplify: Simplify 0 into 0 1544780275.740 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780275.744 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544780275.744 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780275.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780275.745 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.745 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780275.746 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544780275.748 * [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 1544780275.748 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.748 * [misc]backup-simplify: Simplify 0 into 0 1544780275.748 * [misc]backup-simplify: Simplify 0 into 0 1544780275.748 * [misc]backup-simplify: Simplify 0 into 0 1544780275.748 * [misc]backup-simplify: Simplify 0 into 0 1544780275.748 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780275.759 * [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 1544780275.759 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780275.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780275.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.760 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780275.761 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544780275.764 * [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 1544780275.764 * [misc]taylor: Taking taylor expansion of 0 in k 1544780275.765 * [misc]backup-simplify: Simplify 0 into 0 1544780275.765 * [misc]backup-simplify: Simplify 0 into 0 1544780275.765 * [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))))) 1544780275.765 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1544780275.765 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544780275.765 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544780275.765 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780275.765 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780275.766 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780275.766 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.766 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.766 * [misc]taylor: Taking taylor expansion of k in k 1544780275.766 * [misc]backup-simplify: Simplify 0 into 0 1544780275.766 * [misc]backup-simplify: Simplify 1 into 1 1544780275.766 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.766 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.766 * [misc]backup-simplify: Simplify PI into PI 1544780275.766 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.766 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.767 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.767 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.767 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.768 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780275.768 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.768 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.768 * [misc]taylor: Taking taylor expansion of k in k 1544780275.768 * [misc]backup-simplify: Simplify 0 into 0 1544780275.768 * [misc]backup-simplify: Simplify 1 into 1 1544780275.768 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.768 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.769 * [misc]backup-simplify: Simplify PI into PI 1544780275.769 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.769 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.769 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.769 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.770 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.771 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780275.771 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544780275.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780275.773 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780275.773 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.773 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544780275.776 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780275.777 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780275.780 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544780275.780 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.780 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.780 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544780275.784 * [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))) 1544780275.786 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544780275.788 * [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)))) 1544780275.789 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.789 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544780275.789 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of k in k 1544780275.789 * [misc]backup-simplify: Simplify 0 into 0 1544780275.789 * [misc]backup-simplify: Simplify 1 into 1 1544780275.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.789 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.789 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.789 * [misc]backup-simplify: Simplify PI into PI 1544780275.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.789 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.789 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.790 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.790 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780275.790 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.790 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of k in k 1544780275.790 * [misc]backup-simplify: Simplify 0 into 0 1544780275.790 * [misc]backup-simplify: Simplify 1 into 1 1544780275.790 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.790 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.790 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.791 * [misc]backup-simplify: Simplify PI into PI 1544780275.791 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.791 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.791 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.791 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780275.792 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.792 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544780275.792 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.792 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544780275.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.792 * [misc]taylor: Taking taylor expansion of k in k 1544780275.792 * [misc]backup-simplify: Simplify 0 into 0 1544780275.792 * [misc]backup-simplify: Simplify 1 into 1 1544780275.792 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.793 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.793 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.793 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.793 * [misc]backup-simplify: Simplify PI into PI 1544780275.793 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.793 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.793 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.794 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.794 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of k in k 1544780275.794 * [misc]backup-simplify: Simplify 0 into 0 1544780275.794 * [misc]backup-simplify: Simplify 1 into 1 1544780275.794 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.794 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.794 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.794 * [misc]backup-simplify: Simplify PI into PI 1544780275.794 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.794 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780275.794 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.795 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.795 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.795 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780275.795 * [misc]backup-simplify: Simplify 0 into 0 1544780275.795 * [misc]backup-simplify: Simplify 0 into 0 1544780275.795 * [misc]backup-simplify: Simplify 0 into 0 1544780275.796 * [misc]backup-simplify: Simplify 0 into 0 1544780275.796 * [misc]backup-simplify: Simplify 0 into 0 1544780275.796 * [misc]backup-simplify: Simplify 0 into 0 1544780275.796 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544780275.796 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544780275.796 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544780275.796 * [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 1544780275.796 * [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 1544780275.796 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.796 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.796 * [misc]taylor: Taking taylor expansion of k in n 1544780275.796 * [misc]backup-simplify: Simplify k into k 1544780275.796 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.796 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.797 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.797 * [misc]backup-simplify: Simplify 2 into 2 1544780275.797 * [misc]taylor: Taking taylor expansion of n in n 1544780275.797 * [misc]backup-simplify: Simplify 0 into 0 1544780275.797 * [misc]backup-simplify: Simplify 1 into 1 1544780275.797 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.797 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.797 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.797 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780275.797 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780275.797 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780275.797 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.798 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780275.798 * [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)))) 1544780275.798 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.798 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780275.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.798 * [misc]taylor: Taking taylor expansion of k in n 1544780275.798 * [misc]backup-simplify: Simplify k into k 1544780275.798 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780275.798 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.798 * [misc]backup-simplify: Simplify PI into PI 1544780275.798 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.798 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780275.798 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780275.798 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780275.799 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544780275.799 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544780275.799 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780275.799 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780275.799 * [misc]taylor: Taking taylor expansion of k in n 1544780275.799 * [misc]backup-simplify: Simplify k into k 1544780275.799 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780275.799 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780275.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780275.799 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780275.799 * [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 1544780275.799 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.799 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.799 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.799 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.799 * [misc]taylor: Taking taylor expansion of k in k 1544780275.800 * [misc]backup-simplify: Simplify 0 into 0 1544780275.800 * [misc]backup-simplify: Simplify 1 into 1 1544780275.800 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780275.800 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780275.800 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.800 * [misc]backup-simplify: Simplify 2 into 2 1544780275.800 * [misc]taylor: Taking taylor expansion of n in k 1544780275.800 * [misc]backup-simplify: Simplify n into n 1544780275.800 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780275.800 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780275.800 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.800 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.800 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.800 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780275.801 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780275.801 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.801 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.801 * [misc]taylor: Taking taylor expansion of k in k 1544780275.801 * [misc]backup-simplify: Simplify 0 into 0 1544780275.801 * [misc]backup-simplify: Simplify 1 into 1 1544780275.801 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.801 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.801 * [misc]backup-simplify: Simplify PI into PI 1544780275.801 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.801 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.802 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.802 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.802 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.803 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780275.803 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780275.803 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.803 * [misc]taylor: Taking taylor expansion of k in k 1544780275.803 * [misc]backup-simplify: Simplify 0 into 0 1544780275.803 * [misc]backup-simplify: Simplify 1 into 1 1544780275.803 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.804 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780275.804 * [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 1544780275.804 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.804 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.804 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.804 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.804 * [misc]taylor: Taking taylor expansion of k in k 1544780275.804 * [misc]backup-simplify: Simplify 0 into 0 1544780275.805 * [misc]backup-simplify: Simplify 1 into 1 1544780275.805 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780275.805 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780275.805 * [misc]taylor: Taking taylor expansion of 2 in k 1544780275.805 * [misc]backup-simplify: Simplify 2 into 2 1544780275.805 * [misc]taylor: Taking taylor expansion of n in k 1544780275.805 * [misc]backup-simplify: Simplify n into n 1544780275.805 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780275.805 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780275.805 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.805 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.805 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.805 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780275.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780275.806 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.806 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780275.806 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780275.806 * [misc]taylor: Taking taylor expansion of k in k 1544780275.806 * [misc]backup-simplify: Simplify 0 into 0 1544780275.806 * [misc]backup-simplify: Simplify 1 into 1 1544780275.806 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780275.806 * [misc]taylor: Taking taylor expansion of PI in k 1544780275.806 * [misc]backup-simplify: Simplify PI into PI 1544780275.806 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.806 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780275.807 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.807 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780275.807 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780275.808 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780275.808 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780275.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780275.808 * [misc]taylor: Taking taylor expansion of k in k 1544780275.808 * [misc]backup-simplify: Simplify 0 into 0 1544780275.808 * [misc]backup-simplify: Simplify 1 into 1 1544780275.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780275.809 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.809 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780275.810 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544780275.810 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544780275.810 * [misc]taylor: Taking taylor expansion of 0 in n 1544780275.810 * [misc]backup-simplify: Simplify 0 into 0 1544780275.810 * [misc]backup-simplify: Simplify 0 into 0 1544780275.813 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780275.813 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780275.813 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.814 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.815 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544780275.819 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780275.819 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544780275.820 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544780275.820 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780275.821 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780275.821 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780275.821 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544780275.822 * [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)))) 1544780275.824 * [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)))))) 1544780275.826 * [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))))) 1544780275.826 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544780275.826 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780275.826 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.826 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.826 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780275.826 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.826 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.826 * [misc]backup-simplify: Simplify 2 into 2 1544780275.826 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.827 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.827 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780275.827 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780275.827 * [misc]taylor: Taking taylor expansion of n in n 1544780275.827 * [misc]backup-simplify: Simplify 0 into 0 1544780275.827 * [misc]backup-simplify: Simplify 1 into 1 1544780275.827 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.827 * [misc]backup-simplify: Simplify PI into PI 1544780275.827 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780275.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780275.828 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.828 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.828 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780275.828 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.828 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.828 * [misc]backup-simplify: Simplify 0 into 0 1544780275.828 * [misc]backup-simplify: Simplify 0 into 0 1544780275.829 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780275.829 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780275.832 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544780275.832 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.832 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.833 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.833 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544780275.837 * [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))) 1544780275.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544780275.838 * [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 1544780275.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.839 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544780275.840 * [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))) 1544780275.844 * [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))))))) 1544780275.849 * [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))))))))) 1544780275.849 * [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 1544780275.849 * [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 1544780275.849 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544780275.849 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.849 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.849 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544780275.849 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544780275.849 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.849 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.849 * [misc]backup-simplify: Simplify 2 into 2 1544780275.849 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.849 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.849 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780275.849 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.849 * [misc]backup-simplify: Simplify PI into PI 1544780275.850 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.850 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.850 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.850 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.850 * [misc]backup-simplify: Simplify PI into PI 1544780275.850 * [misc]taylor: Taking taylor expansion of n in n 1544780275.850 * [misc]backup-simplify: Simplify 0 into 0 1544780275.850 * [misc]backup-simplify: Simplify 1 into 1 1544780275.850 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.850 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.851 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.851 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.851 * [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 1544780275.851 * [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 1544780275.851 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780275.851 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.851 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.851 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780275.851 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.851 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.851 * [misc]backup-simplify: Simplify 2 into 2 1544780275.851 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.851 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.851 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780275.851 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780275.851 * [misc]taylor: Taking taylor expansion of n in n 1544780275.851 * [misc]backup-simplify: Simplify 0 into 0 1544780275.851 * [misc]backup-simplify: Simplify 1 into 1 1544780275.851 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.851 * [misc]backup-simplify: Simplify PI into PI 1544780275.852 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780275.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780275.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.852 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.852 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544780275.852 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544780275.852 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.852 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.852 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544780275.852 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.853 * [misc]backup-simplify: Simplify 2 into 2 1544780275.853 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.853 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.853 * [misc]backup-simplify: Simplify 2 into 2 1544780275.853 * [misc]taylor: Taking taylor expansion of n in n 1544780275.853 * [misc]backup-simplify: Simplify 0 into 0 1544780275.853 * [misc]backup-simplify: Simplify 1 into 1 1544780275.853 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.853 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.853 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.853 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.853 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.853 * [misc]backup-simplify: Simplify PI into PI 1544780275.853 * [misc]taylor: Taking taylor expansion of n in n 1544780275.853 * [misc]backup-simplify: Simplify 0 into 0 1544780275.853 * [misc]backup-simplify: Simplify 1 into 1 1544780275.854 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.854 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.854 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.855 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544780275.856 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544780275.856 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.856 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780275.856 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.857 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544780275.857 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.857 * [misc]backup-simplify: Simplify 0 into 0 1544780275.858 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.859 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.860 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.861 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.861 * [misc]backup-simplify: Simplify 0 into 0 1544780275.861 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780275.862 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780275.868 * [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 1544780275.869 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780275.869 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.870 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544780275.875 * [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))) 1544780275.875 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544780275.878 * [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 1544780275.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780275.878 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.878 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544780275.880 * [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))) 1544780275.895 * [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))))))))) 1544780275.916 * [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))))))))))))))) 1544780275.916 * [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 1544780275.916 * [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 1544780275.916 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544780275.916 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.916 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.916 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544780275.916 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544780275.916 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.917 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.917 * [misc]backup-simplify: Simplify 2 into 2 1544780275.917 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.917 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.917 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780275.917 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.917 * [misc]backup-simplify: Simplify PI into PI 1544780275.917 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.917 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.917 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.917 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.917 * [misc]backup-simplify: Simplify PI into PI 1544780275.917 * [misc]taylor: Taking taylor expansion of n in n 1544780275.917 * [misc]backup-simplify: Simplify 0 into 0 1544780275.917 * [misc]backup-simplify: Simplify 1 into 1 1544780275.917 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.918 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.918 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.918 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.918 * [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 1544780275.918 * [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 1544780275.918 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.919 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.919 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.919 * [misc]backup-simplify: Simplify 2 into 2 1544780275.919 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.919 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.919 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.919 * [misc]backup-simplify: Simplify PI into PI 1544780275.919 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.919 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.919 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.919 * [misc]backup-simplify: Simplify PI into PI 1544780275.919 * [misc]taylor: Taking taylor expansion of n in n 1544780275.919 * [misc]backup-simplify: Simplify 0 into 0 1544780275.919 * [misc]backup-simplify: Simplify 1 into 1 1544780275.919 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.920 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.920 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.920 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.920 * [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 1544780275.920 * [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 1544780275.920 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544780275.920 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.920 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.920 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544780275.920 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544780275.920 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.920 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.921 * [misc]backup-simplify: Simplify 2 into 2 1544780275.921 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.921 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.921 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544780275.921 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.921 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.921 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.921 * [misc]backup-simplify: Simplify 2 into 2 1544780275.921 * [misc]taylor: Taking taylor expansion of n in n 1544780275.921 * [misc]backup-simplify: Simplify 0 into 0 1544780275.921 * [misc]backup-simplify: Simplify 1 into 1 1544780275.921 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.921 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.921 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.921 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.921 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.921 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.921 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.922 * [misc]backup-simplify: Simplify PI into PI 1544780275.922 * [misc]taylor: Taking taylor expansion of n in n 1544780275.922 * [misc]backup-simplify: Simplify 0 into 0 1544780275.922 * [misc]backup-simplify: Simplify 1 into 1 1544780275.922 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.922 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.922 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.923 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.923 * [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 1544780275.923 * [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 1544780275.923 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.923 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.923 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.923 * [misc]backup-simplify: Simplify 2 into 2 1544780275.923 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.923 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.923 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.923 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.923 * [misc]backup-simplify: Simplify 2 into 2 1544780275.923 * [misc]taylor: Taking taylor expansion of n in n 1544780275.923 * [misc]backup-simplify: Simplify 0 into 0 1544780275.923 * [misc]backup-simplify: Simplify 1 into 1 1544780275.923 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.923 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.924 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.924 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780275.924 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.924 * [misc]backup-simplify: Simplify PI into PI 1544780275.924 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780275.924 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780275.924 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780275.924 * [misc]taylor: Taking taylor expansion of n in n 1544780275.924 * [misc]backup-simplify: Simplify 0 into 0 1544780275.924 * [misc]backup-simplify: Simplify 1 into 1 1544780275.924 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.924 * [misc]backup-simplify: Simplify PI into PI 1544780275.924 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780275.925 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780275.925 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.925 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.925 * [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 1544780275.925 * [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 1544780275.925 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780275.925 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.925 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.925 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780275.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.925 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.925 * [misc]backup-simplify: Simplify 2 into 2 1544780275.925 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.925 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.925 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780275.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780275.925 * [misc]taylor: Taking taylor expansion of n in n 1544780275.925 * [misc]backup-simplify: Simplify 0 into 0 1544780275.925 * [misc]backup-simplify: Simplify 1 into 1 1544780275.925 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.926 * [misc]backup-simplify: Simplify PI into PI 1544780275.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780275.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780275.926 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.927 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.927 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780275.927 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780275.927 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.927 * [misc]backup-simplify: Simplify 2 into 2 1544780275.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780275.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780275.927 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of 2 in n 1544780275.927 * [misc]backup-simplify: Simplify 2 into 2 1544780275.927 * [misc]taylor: Taking taylor expansion of n in n 1544780275.927 * [misc]backup-simplify: Simplify 0 into 0 1544780275.927 * [misc]backup-simplify: Simplify 1 into 1 1544780275.927 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780275.927 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780275.927 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780275.927 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780275.927 * [misc]taylor: Taking taylor expansion of PI in n 1544780275.928 * [misc]backup-simplify: Simplify PI into PI 1544780275.928 * [misc]taylor: Taking taylor expansion of n in n 1544780275.928 * [misc]backup-simplify: Simplify 0 into 0 1544780275.928 * [misc]backup-simplify: Simplify 1 into 1 1544780275.928 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780275.928 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780275.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780275.929 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780275.929 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544780275.930 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544780275.930 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.930 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544780275.931 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544780275.933 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544780275.933 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.933 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.934 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.934 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544780275.935 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544780275.936 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544780275.936 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.937 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544780275.938 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544780275.939 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544780275.939 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.939 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780275.940 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.940 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.940 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544780275.941 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544780275.941 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780275.941 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.941 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780275.943 * [misc]backup-simplify: Simplify (- 0) into 0 1544780275.943 * [misc]backup-simplify: Simplify 0 into 0 1544780275.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780275.947 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544780275.949 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544780275.951 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544780275.953 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.955 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780275.955 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544780275.957 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780275.958 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780275.958 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544780275.959 * [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)))))) 1544780275.961 * [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)))))) 1544780275.962 * [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)))))) 1544780275.964 * [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))))))) 1544780275.967 * [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))))))) 1544780275.970 * [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))))))))) 1544780275.975 * [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))))))))) 1544780275.981 * [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))))))))) 1544780275.981 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780275.983 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544780275.983 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544780275.985 * [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)))) 1544780275.988 * [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)))) 1544780275.990 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780275.991 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780276.003 * [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))))))))))))))) 1544780276.004 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1544780276.004 * [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 1544780276.004 * [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 1544780276.004 * [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 1544780276.004 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.004 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.004 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.004 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.004 * [misc]taylor: Taking taylor expansion of k in n 1544780276.005 * [misc]backup-simplify: Simplify k into k 1544780276.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.005 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.005 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.005 * [misc]backup-simplify: Simplify PI into PI 1544780276.005 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.005 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.005 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.006 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780276.006 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.006 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.007 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.007 * [misc]taylor: Taking taylor expansion of k in n 1544780276.007 * [misc]backup-simplify: Simplify k into k 1544780276.007 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.007 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.007 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.007 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.007 * [misc]backup-simplify: Simplify 2 into 2 1544780276.007 * [misc]taylor: Taking taylor expansion of n in n 1544780276.007 * [misc]backup-simplify: Simplify 0 into 0 1544780276.007 * [misc]backup-simplify: Simplify 1 into 1 1544780276.007 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.007 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.007 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.008 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.008 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.008 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.008 * [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))) 1544780276.009 * [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)))) 1544780276.009 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780276.009 * [misc]taylor: Taking taylor expansion of k in n 1544780276.009 * [misc]backup-simplify: Simplify k into k 1544780276.009 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780276.009 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780276.009 * [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 1544780276.009 * [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 1544780276.009 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.009 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.009 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.009 * [misc]taylor: Taking taylor expansion of k in k 1544780276.009 * [misc]backup-simplify: Simplify 0 into 0 1544780276.009 * [misc]backup-simplify: Simplify 1 into 1 1544780276.010 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.010 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780276.010 * [misc]taylor: Taking taylor expansion of PI in k 1544780276.010 * [misc]backup-simplify: Simplify PI into PI 1544780276.010 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.010 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.010 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.011 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.011 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780276.012 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.012 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of k in k 1544780276.012 * [misc]backup-simplify: Simplify 0 into 0 1544780276.012 * [misc]backup-simplify: Simplify 1 into 1 1544780276.012 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.012 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780276.012 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.012 * [misc]backup-simplify: Simplify 2 into 2 1544780276.012 * [misc]taylor: Taking taylor expansion of n in k 1544780276.012 * [misc]backup-simplify: Simplify n into n 1544780276.012 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780276.012 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780276.013 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.013 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.013 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.013 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780276.013 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.013 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780276.013 * [misc]taylor: Taking taylor expansion of k in k 1544780276.013 * [misc]backup-simplify: Simplify 0 into 0 1544780276.013 * [misc]backup-simplify: Simplify 1 into 1 1544780276.013 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.014 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.014 * [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 1544780276.014 * [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 1544780276.014 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.014 * [misc]taylor: Taking taylor expansion of k in k 1544780276.014 * [misc]backup-simplify: Simplify 0 into 0 1544780276.014 * [misc]backup-simplify: Simplify 1 into 1 1544780276.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.015 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780276.015 * [misc]taylor: Taking taylor expansion of PI in k 1544780276.015 * [misc]backup-simplify: Simplify PI into PI 1544780276.015 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.015 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.016 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.016 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780276.017 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.017 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of k in k 1544780276.017 * [misc]backup-simplify: Simplify 0 into 0 1544780276.017 * [misc]backup-simplify: Simplify 1 into 1 1544780276.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.017 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780276.017 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.017 * [misc]backup-simplify: Simplify 2 into 2 1544780276.017 * [misc]taylor: Taking taylor expansion of n in k 1544780276.017 * [misc]backup-simplify: Simplify n into n 1544780276.017 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780276.017 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780276.018 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.018 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.018 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.018 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780276.018 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.018 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780276.018 * [misc]taylor: Taking taylor expansion of k in k 1544780276.018 * [misc]backup-simplify: Simplify 0 into 0 1544780276.018 * [misc]backup-simplify: Simplify 1 into 1 1544780276.019 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.019 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.019 * [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))))) 1544780276.020 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544780276.020 * [misc]taylor: Taking taylor expansion of 0 in n 1544780276.020 * [misc]backup-simplify: Simplify 0 into 0 1544780276.020 * [misc]backup-simplify: Simplify 0 into 0 1544780276.020 * [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 1544780276.020 * [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))))))) 1544780276.020 * [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 1544780276.020 * [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 1544780276.020 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.020 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.020 * [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 1544780276.020 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.020 * [misc]taylor: Taking taylor expansion of k in n 1544780276.020 * [misc]backup-simplify: Simplify k into k 1544780276.020 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.021 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.021 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.021 * [misc]backup-simplify: Simplify PI into PI 1544780276.021 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.021 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.021 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.021 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.021 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780276.022 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.022 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.022 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.022 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of k in n 1544780276.022 * [misc]backup-simplify: Simplify k into k 1544780276.022 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.022 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.022 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.022 * [misc]backup-simplify: Simplify 2 into 2 1544780276.022 * [misc]taylor: Taking taylor expansion of n in n 1544780276.022 * [misc]backup-simplify: Simplify 0 into 0 1544780276.022 * [misc]backup-simplify: Simplify 1 into 1 1544780276.022 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.022 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.022 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.022 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.022 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.023 * [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))) 1544780276.023 * [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)))) 1544780276.023 * [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))))) 1544780276.024 * [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)))))) 1544780276.024 * [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))))))) 1544780276.024 * [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))))))) 1544780276.024 * [misc]backup-simplify: Simplify 0 into 0 1544780276.025 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780276.025 * [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 1544780276.026 * [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))))))) 1544780276.026 * [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 1544780276.026 * [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 1544780276.026 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.026 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.026 * [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 1544780276.026 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.026 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.026 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of k in n 1544780276.026 * [misc]backup-simplify: Simplify k into k 1544780276.026 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.026 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.026 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.026 * [misc]backup-simplify: Simplify PI into PI 1544780276.026 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.026 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.026 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.027 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.027 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780276.027 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.027 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.027 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.027 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.027 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.027 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of k in n 1544780276.027 * [misc]backup-simplify: Simplify k into k 1544780276.027 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.027 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.027 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.027 * [misc]backup-simplify: Simplify 2 into 2 1544780276.027 * [misc]taylor: Taking taylor expansion of n in n 1544780276.027 * [misc]backup-simplify: Simplify 0 into 0 1544780276.027 * [misc]backup-simplify: Simplify 1 into 1 1544780276.028 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.028 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.028 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.028 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.028 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.028 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.028 * [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))) 1544780276.028 * [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)))) 1544780276.029 * [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))))) 1544780276.029 * [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)))))) 1544780276.029 * [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))))))) 1544780276.030 * [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))))))) 1544780276.030 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544780276.031 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780276.032 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.032 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.032 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.032 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.032 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.032 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544780276.033 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.035 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780276.035 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.035 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.035 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.035 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.036 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544780276.037 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.037 * [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 1544780276.038 * [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 1544780276.038 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.038 * [misc]backup-simplify: Simplify 0 into 0 1544780276.038 * [misc]backup-simplify: Simplify 0 into 0 1544780276.039 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780276.039 * [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 1544780276.040 * [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))))))) 1544780276.040 * [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 1544780276.040 * [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 1544780276.040 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.040 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.040 * [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 1544780276.040 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.040 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.040 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.040 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of k in n 1544780276.040 * [misc]backup-simplify: Simplify k into k 1544780276.040 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.040 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.040 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.040 * [misc]backup-simplify: Simplify PI into PI 1544780276.040 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.040 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.040 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.040 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.041 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780276.041 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.041 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.041 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of k in n 1544780276.041 * [misc]backup-simplify: Simplify k into k 1544780276.041 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.041 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.041 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.041 * [misc]backup-simplify: Simplify 2 into 2 1544780276.041 * [misc]taylor: Taking taylor expansion of n in n 1544780276.041 * [misc]backup-simplify: Simplify 0 into 0 1544780276.041 * [misc]backup-simplify: Simplify 1 into 1 1544780276.041 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.042 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.042 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.042 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.042 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.042 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.042 * [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))) 1544780276.042 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1544780276.043 * [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))))) 1544780276.043 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.043 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1544780276.044 * [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))))))) 1544780276.047 * [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)))))))) 1544780276.048 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544780276.048 * [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 1544780276.048 * [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 1544780276.048 * [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 1544780276.048 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of k in n 1544780276.048 * [misc]backup-simplify: Simplify k into k 1544780276.048 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.048 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.048 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.048 * [misc]backup-simplify: Simplify -2 into -2 1544780276.048 * [misc]taylor: Taking taylor expansion of n in n 1544780276.048 * [misc]backup-simplify: Simplify 0 into 0 1544780276.048 * [misc]backup-simplify: Simplify 1 into 1 1544780276.049 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.049 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.049 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.049 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.050 * [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))) 1544780276.050 * [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)))) 1544780276.050 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.050 * [misc]taylor: Taking taylor expansion of k in n 1544780276.050 * [misc]backup-simplify: Simplify k into k 1544780276.050 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.051 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.051 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.051 * [misc]backup-simplify: Simplify PI into PI 1544780276.051 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.051 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.051 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.052 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780276.052 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.052 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780276.052 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780276.052 * [misc]taylor: Taking taylor expansion of -1 in n 1544780276.052 * [misc]backup-simplify: Simplify -1 into -1 1544780276.052 * [misc]taylor: Taking taylor expansion of k in n 1544780276.052 * [misc]backup-simplify: Simplify k into k 1544780276.052 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780276.052 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780276.053 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780276.053 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780276.053 * [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))) 1544780276.054 * [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))) 1544780276.054 * [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 1544780276.054 * [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 1544780276.054 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.054 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.054 * [misc]taylor: Taking taylor expansion of k in k 1544780276.054 * [misc]backup-simplify: Simplify 0 into 0 1544780276.054 * [misc]backup-simplify: Simplify 1 into 1 1544780276.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.055 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.055 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.055 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780276.055 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780276.055 * [misc]taylor: Taking taylor expansion of -2 in k 1544780276.055 * [misc]backup-simplify: Simplify -2 into -2 1544780276.055 * [misc]taylor: Taking taylor expansion of n in k 1544780276.055 * [misc]backup-simplify: Simplify n into n 1544780276.055 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780276.055 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780276.055 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.055 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780276.055 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.056 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.056 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of k in k 1544780276.056 * [misc]backup-simplify: Simplify 0 into 0 1544780276.056 * [misc]backup-simplify: Simplify 1 into 1 1544780276.056 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.056 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.056 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.056 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780276.056 * [misc]taylor: Taking taylor expansion of PI in k 1544780276.056 * [misc]backup-simplify: Simplify PI into PI 1544780276.056 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.057 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.057 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.057 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780276.058 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.058 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780276.058 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780276.058 * [misc]taylor: Taking taylor expansion of -1 in k 1544780276.058 * [misc]backup-simplify: Simplify -1 into -1 1544780276.058 * [misc]taylor: Taking taylor expansion of k in k 1544780276.058 * [misc]backup-simplify: Simplify 0 into 0 1544780276.058 * [misc]backup-simplify: Simplify 1 into 1 1544780276.058 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780276.058 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.059 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780276.059 * [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))) 1544780276.060 * [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)))) 1544780276.060 * [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 1544780276.060 * [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 1544780276.060 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.060 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of k in k 1544780276.060 * [misc]backup-simplify: Simplify 0 into 0 1544780276.060 * [misc]backup-simplify: Simplify 1 into 1 1544780276.060 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.060 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.060 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780276.060 * [misc]taylor: Taking taylor expansion of -2 in k 1544780276.060 * [misc]backup-simplify: Simplify -2 into -2 1544780276.060 * [misc]taylor: Taking taylor expansion of n in k 1544780276.060 * [misc]backup-simplify: Simplify n into n 1544780276.060 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780276.060 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780276.061 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.061 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.061 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780276.061 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.061 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.061 * [misc]taylor: Taking taylor expansion of k in k 1544780276.061 * [misc]backup-simplify: Simplify 0 into 0 1544780276.061 * [misc]backup-simplify: Simplify 1 into 1 1544780276.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.062 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780276.062 * [misc]taylor: Taking taylor expansion of PI in k 1544780276.062 * [misc]backup-simplify: Simplify PI into PI 1544780276.062 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.062 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.063 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780276.063 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.063 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780276.063 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780276.063 * [misc]taylor: Taking taylor expansion of -1 in k 1544780276.064 * [misc]backup-simplify: Simplify -1 into -1 1544780276.064 * [misc]taylor: Taking taylor expansion of k in k 1544780276.064 * [misc]backup-simplify: Simplify 0 into 0 1544780276.064 * [misc]backup-simplify: Simplify 1 into 1 1544780276.064 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780276.064 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.064 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780276.065 * [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))) 1544780276.065 * [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)))) 1544780276.065 * [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 1544780276.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.065 * [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 1544780276.065 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.065 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.065 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.065 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.065 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.066 * [misc]taylor: Taking taylor expansion of k in n 1544780276.066 * [misc]backup-simplify: Simplify k into k 1544780276.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.066 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.066 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.066 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.066 * [misc]backup-simplify: Simplify -2 into -2 1544780276.066 * [misc]taylor: Taking taylor expansion of n in n 1544780276.066 * [misc]backup-simplify: Simplify 0 into 0 1544780276.066 * [misc]backup-simplify: Simplify 1 into 1 1544780276.066 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.066 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.067 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.067 * [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))) 1544780276.068 * [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)))) 1544780276.068 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of k in n 1544780276.068 * [misc]backup-simplify: Simplify k into k 1544780276.068 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.068 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.068 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.068 * [misc]backup-simplify: Simplify PI into PI 1544780276.068 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.069 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.069 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.069 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780276.069 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.070 * [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))) 1544780276.071 * [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)))) 1544780276.071 * [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)))) 1544780276.072 * [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 1544780276.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780276.073 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780276.074 * [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))))) 1544780276.074 * [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 1544780276.074 * [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 1544780276.074 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.074 * [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 1544780276.074 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.074 * [misc]taylor: Taking taylor expansion of k in n 1544780276.074 * [misc]backup-simplify: Simplify k into k 1544780276.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.074 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.075 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.075 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.075 * [misc]backup-simplify: Simplify -2 into -2 1544780276.075 * [misc]taylor: Taking taylor expansion of n in n 1544780276.075 * [misc]backup-simplify: Simplify 0 into 0 1544780276.075 * [misc]backup-simplify: Simplify 1 into 1 1544780276.075 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.075 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.076 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.076 * [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))) 1544780276.076 * [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)))) 1544780276.076 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.076 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.076 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.076 * [misc]taylor: Taking taylor expansion of k in n 1544780276.077 * [misc]backup-simplify: Simplify k into k 1544780276.077 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.077 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.077 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.077 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.077 * [misc]backup-simplify: Simplify PI into PI 1544780276.077 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.077 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.077 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.078 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780276.078 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.079 * [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))) 1544780276.079 * [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)))) 1544780276.080 * [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))))) 1544780276.080 * [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))))) 1544780276.083 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780276.083 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.084 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544780276.086 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544780276.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544780276.090 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.090 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.091 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544780276.092 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.093 * [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 1544780276.093 * [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 1544780276.093 * [misc]backup-simplify: Simplify 0 into 0 1544780276.094 * [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 1544780276.094 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.096 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780276.097 * [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))))) 1544780276.097 * [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 1544780276.097 * [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 1544780276.097 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780276.097 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780276.097 * [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 1544780276.097 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.097 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.097 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.097 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.098 * [misc]taylor: Taking taylor expansion of k in n 1544780276.098 * [misc]backup-simplify: Simplify k into k 1544780276.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.098 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.098 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.098 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.098 * [misc]backup-simplify: Simplify -2 into -2 1544780276.098 * [misc]taylor: Taking taylor expansion of n in n 1544780276.098 * [misc]backup-simplify: Simplify 0 into 0 1544780276.098 * [misc]backup-simplify: Simplify 1 into 1 1544780276.098 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.098 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.098 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.101 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.101 * [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))) 1544780276.101 * [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)))) 1544780276.101 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.101 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780276.101 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780276.101 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.102 * [misc]taylor: Taking taylor expansion of k in n 1544780276.102 * [misc]backup-simplify: Simplify k into k 1544780276.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.102 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780276.102 * [misc]taylor: Taking taylor expansion of PI in n 1544780276.102 * [misc]backup-simplify: Simplify PI into PI 1544780276.102 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780276.102 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.102 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.103 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780276.103 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.104 * [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))) 1544780276.104 * [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)))) 1544780276.104 * [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))))) 1544780276.105 * [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))))) 1544780276.106 * [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)))))))) 1544780276.106 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1544780276.107 * [misc]backup-simplify: Simplify (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) into (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) 1544780276.107 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1544780276.107 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.107 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.107 * [misc]taylor: Taking taylor expansion of k in k 1544780276.107 * [misc]backup-simplify: Simplify 0 into 0 1544780276.107 * [misc]backup-simplify: Simplify 1 into 1 1544780276.107 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780276.107 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.107 * [misc]backup-simplify: Simplify 2 into 2 1544780276.107 * [misc]taylor: Taking taylor expansion of n in k 1544780276.107 * [misc]backup-simplify: Simplify n into n 1544780276.107 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780276.107 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780276.107 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780276.107 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.108 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780276.108 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780276.108 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780276.108 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.108 * [misc]taylor: Taking taylor expansion of k in k 1544780276.108 * [misc]backup-simplify: Simplify 0 into 0 1544780276.108 * [misc]backup-simplify: Simplify 1 into 1 1544780276.108 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.108 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.108 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.108 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.108 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.108 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.108 * [misc]taylor: Taking taylor expansion of k in n 1544780276.108 * [misc]backup-simplify: Simplify k into k 1544780276.108 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780276.108 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.108 * [misc]backup-simplify: Simplify 2 into 2 1544780276.108 * [misc]taylor: Taking taylor expansion of n in n 1544780276.108 * [misc]backup-simplify: Simplify 0 into 0 1544780276.108 * [misc]backup-simplify: Simplify 1 into 1 1544780276.109 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780276.109 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780276.109 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.109 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780276.109 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780276.109 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780276.109 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780276.109 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780276.110 * [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)))) 1544780276.110 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of k in n 1544780276.110 * [misc]backup-simplify: Simplify k into k 1544780276.110 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.110 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780276.110 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.110 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780276.110 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.110 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.110 * [misc]taylor: Taking taylor expansion of k in n 1544780276.110 * [misc]backup-simplify: Simplify k into k 1544780276.110 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780276.110 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.110 * [misc]backup-simplify: Simplify 2 into 2 1544780276.110 * [misc]taylor: Taking taylor expansion of n in n 1544780276.110 * [misc]backup-simplify: Simplify 0 into 0 1544780276.110 * [misc]backup-simplify: Simplify 1 into 1 1544780276.110 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780276.110 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780276.110 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.111 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780276.111 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780276.111 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780276.111 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780276.111 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780276.111 * [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)))) 1544780276.111 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780276.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.111 * [misc]taylor: Taking taylor expansion of k in n 1544780276.111 * [misc]backup-simplify: Simplify k into k 1544780276.111 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.111 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780276.111 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.112 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780276.112 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544780276.112 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.112 * [misc]backup-simplify: Simplify 2 into 2 1544780276.112 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.112 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of n in k 1544780276.112 * [misc]backup-simplify: Simplify n into n 1544780276.112 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780276.112 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.112 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780276.112 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.112 * [misc]taylor: Taking taylor expansion of k in k 1544780276.112 * [misc]backup-simplify: Simplify 0 into 0 1544780276.112 * [misc]backup-simplify: Simplify 1 into 1 1544780276.112 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544780276.113 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780276.113 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.113 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.113 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544780276.113 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544780276.113 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780276.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.113 * [misc]taylor: Taking taylor expansion of k in k 1544780276.113 * [misc]backup-simplify: Simplify 0 into 0 1544780276.113 * [misc]backup-simplify: Simplify 1 into 1 1544780276.113 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.113 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.114 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.114 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1544780276.114 * [misc]backup-simplify: Simplify 0 into 0 1544780276.114 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544780276.115 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780276.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544780276.116 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.116 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.116 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780276.116 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544780276.117 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.117 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1544780276.117 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.117 * [misc]backup-simplify: Simplify 0 into 0 1544780276.118 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780276.118 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.118 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.119 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780276.120 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780276.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.120 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544780276.121 * [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))))) 1544780276.121 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1544780276.121 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1544780276.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.122 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544780276.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780276.125 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780276.125 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544780276.125 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.125 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.125 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780276.126 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544780276.127 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780276.127 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1544780276.127 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.127 * [misc]backup-simplify: Simplify 0 into 0 1544780276.127 * [misc]backup-simplify: Simplify 0 into 0 1544780276.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780276.128 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780276.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780276.128 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.129 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.131 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780276.132 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780276.132 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.133 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544780276.134 * [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))))) 1544780276.136 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1544780276.137 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) 1544780276.137 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.137 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544780276.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544780276.142 * [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 1544780276.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544780276.142 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.143 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780276.143 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1544780276.145 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544780276.145 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1544780276.146 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.146 * [misc]backup-simplify: Simplify 0 into 0 1544780276.146 * [misc]backup-simplify: Simplify 0 into 0 1544780276.146 * [misc]backup-simplify: Simplify 0 into 0 1544780276.146 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.146 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780276.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780276.147 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.147 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.152 * [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 1544780276.154 * [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 1544780276.154 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.154 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1544780276.157 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 1544780276.165 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) +nan.0) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1544780276.172 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) 1544780276.181 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (log 2) (exp (* 1/2 (+ (log 2) (log n)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1544780276.181 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) 1544780276.182 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1544780276.182 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.182 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.182 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.182 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of k in k 1544780276.182 * [misc]backup-simplify: Simplify 0 into 0 1544780276.182 * [misc]backup-simplify: Simplify 1 into 1 1544780276.182 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.182 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780276.182 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.182 * [misc]backup-simplify: Simplify 2 into 2 1544780276.182 * [misc]taylor: Taking taylor expansion of n in k 1544780276.182 * [misc]backup-simplify: Simplify n into n 1544780276.182 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780276.182 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780276.182 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.182 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.182 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.182 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780276.183 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780276.183 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780276.183 * [misc]taylor: Taking taylor expansion of k in k 1544780276.183 * [misc]backup-simplify: Simplify 0 into 0 1544780276.183 * [misc]backup-simplify: Simplify 1 into 1 1544780276.183 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.183 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.183 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.183 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.183 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.183 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of k in n 1544780276.183 * [misc]backup-simplify: Simplify k into k 1544780276.183 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.183 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.183 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.183 * [misc]backup-simplify: Simplify 2 into 2 1544780276.183 * [misc]taylor: Taking taylor expansion of n in n 1544780276.183 * [misc]backup-simplify: Simplify 0 into 0 1544780276.183 * [misc]backup-simplify: Simplify 1 into 1 1544780276.183 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.184 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.184 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.184 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.184 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.184 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.184 * [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))) 1544780276.184 * [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)))) 1544780276.184 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780276.184 * [misc]taylor: Taking taylor expansion of k in n 1544780276.184 * [misc]backup-simplify: Simplify k into k 1544780276.185 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780276.185 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780276.185 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.185 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.185 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of k in n 1544780276.185 * [misc]backup-simplify: Simplify k into k 1544780276.185 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.185 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780276.185 * [misc]taylor: Taking taylor expansion of 2 in n 1544780276.185 * [misc]backup-simplify: Simplify 2 into 2 1544780276.185 * [misc]taylor: Taking taylor expansion of n in n 1544780276.185 * [misc]backup-simplify: Simplify 0 into 0 1544780276.185 * [misc]backup-simplify: Simplify 1 into 1 1544780276.185 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780276.185 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.185 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.185 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780276.185 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780276.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.186 * [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))) 1544780276.186 * [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)))) 1544780276.186 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780276.186 * [misc]taylor: Taking taylor expansion of k in n 1544780276.186 * [misc]backup-simplify: Simplify k into k 1544780276.186 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780276.186 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780276.186 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1544780276.186 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of k in k 1544780276.187 * [misc]backup-simplify: Simplify 0 into 0 1544780276.187 * [misc]backup-simplify: Simplify 1 into 1 1544780276.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.187 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780276.187 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.187 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.187 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of k in k 1544780276.187 * [misc]backup-simplify: Simplify 0 into 0 1544780276.187 * [misc]backup-simplify: Simplify 1 into 1 1544780276.187 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.187 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780276.187 * [misc]taylor: Taking taylor expansion of 2 in k 1544780276.187 * [misc]backup-simplify: Simplify 2 into 2 1544780276.188 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780276.188 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780276.188 * [misc]taylor: Taking taylor expansion of n in k 1544780276.188 * [misc]backup-simplify: Simplify n into n 1544780276.188 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780276.188 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.188 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780276.188 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780276.188 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780276.188 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544780276.188 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544780276.188 * [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)))) 1544780276.189 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1544780276.189 * [misc]backup-simplify: Simplify 0 into 0 1544780276.189 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544780276.192 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780276.192 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.192 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.193 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.193 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.193 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.193 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544780276.194 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.194 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1544780276.194 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.194 * [misc]backup-simplify: Simplify 0 into 0 1544780276.194 * [misc]backup-simplify: Simplify 0 into 0 1544780276.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.195 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.195 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544780276.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.198 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780276.198 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.198 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780276.199 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.199 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.199 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544780276.200 * [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 1544780276.201 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1544780276.201 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.201 * [misc]backup-simplify: Simplify 0 into 0 1544780276.201 * [misc]backup-simplify: Simplify 0 into 0 1544780276.201 * [misc]backup-simplify: Simplify 0 into 0 1544780276.202 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780276.202 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.202 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.202 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544780276.203 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.207 * [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 1544780276.207 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780276.208 * [misc]backup-simplify: Simplify (- 0) into 0 1544780276.208 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.208 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780276.209 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544780276.211 * [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 1544780276.211 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1544780276.211 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.211 * [misc]backup-simplify: Simplify 0 into 0 1544780276.211 * [misc]backup-simplify: Simplify 0 into 0 1544780276.211 * [misc]backup-simplify: Simplify 0 into 0 1544780276.211 * [misc]backup-simplify: Simplify 0 into 0 1544780276.212 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780276.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.213 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1544780276.214 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544780276.214 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1544780276.214 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544780276.214 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.214 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.215 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.215 * [misc]taylor: Taking taylor expansion of k in k 1544780276.215 * [misc]backup-simplify: Simplify 0 into 0 1544780276.215 * [misc]backup-simplify: Simplify 1 into 1 1544780276.215 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.215 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.215 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.215 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780276.215 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780276.215 * [misc]taylor: Taking taylor expansion of -2 in k 1544780276.215 * [misc]backup-simplify: Simplify -2 into -2 1544780276.215 * [misc]taylor: Taking taylor expansion of n in k 1544780276.215 * [misc]backup-simplify: Simplify n into n 1544780276.215 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780276.215 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780276.215 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.215 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.215 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780276.215 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780276.215 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780276.215 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780276.215 * [misc]taylor: Taking taylor expansion of -1 in k 1544780276.215 * [misc]backup-simplify: Simplify -1 into -1 1544780276.215 * [misc]taylor: Taking taylor expansion of k in k 1544780276.215 * [misc]backup-simplify: Simplify 0 into 0 1544780276.215 * [misc]backup-simplify: Simplify 1 into 1 1544780276.216 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780276.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.216 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780276.216 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1544780276.216 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.216 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of k in n 1544780276.216 * [misc]backup-simplify: Simplify k into k 1544780276.216 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.216 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.216 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.216 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.216 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.216 * [misc]backup-simplify: Simplify -2 into -2 1544780276.216 * [misc]taylor: Taking taylor expansion of n in n 1544780276.216 * [misc]backup-simplify: Simplify 0 into 0 1544780276.216 * [misc]backup-simplify: Simplify 1 into 1 1544780276.217 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.217 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.217 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.217 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.217 * [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))) 1544780276.217 * [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)))) 1544780276.217 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780276.217 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of -1 in n 1544780276.218 * [misc]backup-simplify: Simplify -1 into -1 1544780276.218 * [misc]taylor: Taking taylor expansion of k in n 1544780276.218 * [misc]backup-simplify: Simplify k into k 1544780276.218 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780276.218 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780276.218 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780276.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780276.218 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1544780276.218 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.218 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of k in n 1544780276.218 * [misc]backup-simplify: Simplify k into k 1544780276.218 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780276.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780276.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.218 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780276.218 * [misc]taylor: Taking taylor expansion of -2 in n 1544780276.218 * [misc]backup-simplify: Simplify -2 into -2 1544780276.218 * [misc]taylor: Taking taylor expansion of n in n 1544780276.218 * [misc]backup-simplify: Simplify 0 into 0 1544780276.218 * [misc]backup-simplify: Simplify 1 into 1 1544780276.218 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780276.219 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.219 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780276.219 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780276.219 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.219 * [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))) 1544780276.219 * [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)))) 1544780276.219 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780276.219 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780276.219 * [misc]taylor: Taking taylor expansion of -1 in n 1544780276.219 * [misc]backup-simplify: Simplify -1 into -1 1544780276.219 * [misc]taylor: Taking taylor expansion of k in n 1544780276.219 * [misc]backup-simplify: Simplify k into k 1544780276.219 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780276.220 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780276.220 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780276.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780276.220 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1544780276.220 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.220 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of k in k 1544780276.220 * [misc]backup-simplify: Simplify 0 into 0 1544780276.220 * [misc]backup-simplify: Simplify 1 into 1 1544780276.220 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780276.220 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780276.220 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780276.220 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544780276.220 * [misc]taylor: Taking taylor expansion of -2 in k 1544780276.220 * [misc]backup-simplify: Simplify -2 into -2 1544780276.220 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780276.221 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780276.221 * [misc]taylor: Taking taylor expansion of n in k 1544780276.221 * [misc]backup-simplify: Simplify n into n 1544780276.221 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780276.221 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780276.221 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780276.221 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780276.221 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544780276.221 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544780276.221 * [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)))) 1544780276.221 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780276.221 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780276.221 * [misc]taylor: Taking taylor expansion of -1 in k 1544780276.221 * [misc]backup-simplify: Simplify -1 into -1 1544780276.221 * [misc]taylor: Taking taylor expansion of k in k 1544780276.221 * [misc]backup-simplify: Simplify 0 into 0 1544780276.221 * [misc]backup-simplify: Simplify 1 into 1 1544780276.222 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780276.222 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780276.222 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780276.222 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1544780276.222 * [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))))) 1544780276.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544780276.224 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544780276.224 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780276.224 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780276.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.225 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.225 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544780276.226 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780276.226 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1544780276.226 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.226 * [misc]backup-simplify: Simplify 0 into 0 1544780276.226 * [misc]backup-simplify: Simplify 0 into 0 1544780276.226 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780276.227 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780276.227 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544780276.228 * [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)))))) 1544780276.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.233 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544780276.233 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.234 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780276.234 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780276.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780276.235 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544780276.237 * [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 1544780276.237 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780276.238 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544780276.238 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1544780276.238 * [misc]taylor: Taking taylor expansion of 0 in k 1544780276.238 * [misc]backup-simplify: Simplify 0 into 0 1544780276.238 * [misc]backup-simplify: Simplify 0 into 0 1544780276.238 * [misc]backup-simplify: Simplify 0 into 0 1544780276.239 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780276.240 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780276.241 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1544780276.241 * [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)))))) 1544780276.243 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1544780276.243 * * * [misc]progress: simplifying candidates 1544780276.243 * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # 1544780276.244 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544780276.245 * * [misc]simplify: iters left: 6 (9 enodes) 1544780276.249 * * [misc]simplify: iters left: 5 (16 enodes) 1544780276.257 * * [misc]simplify: iters left: 4 (32 enodes) 1544780276.275 * * [misc]simplify: iters left: 3 (68 enodes) 1544780276.320 * * [misc]simplify: iters left: 2 (171 enodes) 1544780276.394 * * [misc]simplify: iters left: 1 (342 enodes) 1544780276.525 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544780276.525 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780276.525 * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # 1544780276.525 * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # 1544780276.525 * [enter]simplify: Simplifying (* n 2) 1544780276.525 * * [misc]simplify: iters left: 2 (3 enodes) 1544780276.526 * * [misc]simplify: iters left: 1 (4 enodes) 1544780276.527 * [exit]simplify: Simplified to (* n 2) 1544780276.527 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1544780276.527 * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # 1544780276.527 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544780276.527 * * [misc]simplify: iters left: 3 (6 enodes) 1544780276.528 * * [misc]simplify: iters left: 2 (7 enodes) 1544780276.530 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544780276.530 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1544780276.530 * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # 1544780276.530 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780276.530 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.531 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.533 * * [misc]simplify: iters left: 3 (11 enodes) 1544780276.535 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780276.535 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544780276.535 * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # 1544780276.535 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780276.535 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.536 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.538 * * [misc]simplify: iters left: 3 (11 enodes) 1544780276.540 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780276.540 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544780276.540 * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # 1544780276.540 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780276.540 * * [misc]simplify: iters left: 4 (5 enodes) 1544780276.541 * * [misc]simplify: iters left: 3 (7 enodes) 1544780276.542 * * [misc]simplify: iters left: 2 (10 enodes) 1544780276.544 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780276.544 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.544 * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # 1544780276.544 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544780276.545 * * [misc]simplify: iters left: 5 (7 enodes) 1544780276.546 * * [misc]simplify: iters left: 4 (10 enodes) 1544780276.548 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544780276.548 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544780276.548 * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # 1544780276.548 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544780276.548 * * [misc]simplify: iters left: 5 (7 enodes) 1544780276.550 * * [misc]simplify: iters left: 4 (10 enodes) 1544780276.551 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544780276.552 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544780276.552 * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # 1544780276.552 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544780276.552 * * [misc]simplify: iters left: 5 (7 enodes) 1544780276.555 * * [misc]simplify: iters left: 4 (9 enodes) 1544780276.557 * * [misc]simplify: iters left: 3 (12 enodes) 1544780276.559 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544780276.559 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1544780276.559 * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # 1544780276.559 * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # 1544780276.559 * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # 1544780276.560 * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # 1544780276.560 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544780276.561 * * [misc]simplify: iters left: 3 (5 enodes) 1544780276.562 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544780276.562 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.562 * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # 1544780276.563 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780276.563 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.565 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.569 * * [misc]simplify: iters left: 3 (11 enodes) 1544780276.573 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780276.573 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.573 * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # 1544780276.573 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780276.574 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.576 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.579 * * [misc]simplify: iters left: 3 (11 enodes) 1544780276.582 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780276.582 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.583 * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # 1544780276.583 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780276.583 * * [misc]simplify: iters left: 4 (5 enodes) 1544780276.585 * * [misc]simplify: iters left: 3 (7 enodes) 1544780276.588 * * [misc]simplify: iters left: 2 (10 enodes) 1544780276.589 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780276.589 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.589 * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # 1544780276.589 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780276.590 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.591 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.593 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780276.593 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.593 * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # 1544780276.593 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780276.593 * * [misc]simplify: iters left: 5 (6 enodes) 1544780276.594 * * [misc]simplify: iters left: 4 (8 enodes) 1544780276.596 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780276.596 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780276.596 * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # 1544780276.596 * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # 1544780276.596 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780276.597 * * [misc]simplify: iters left: 6 (16 enodes) 1544780276.602 * * [misc]simplify: iters left: 5 (29 enodes) 1544780276.610 * * [misc]simplify: iters left: 4 (60 enodes) 1544780276.643 * * [misc]simplify: iters left: 3 (191 enodes) 1544780276.851 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780276.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780276.851 * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # 1544780276.852 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780276.853 * * [misc]simplify: iters left: 6 (16 enodes) 1544780276.861 * * [misc]simplify: iters left: 5 (29 enodes) 1544780276.876 * * [misc]simplify: iters left: 4 (60 enodes) 1544780276.902 * * [misc]simplify: iters left: 3 (191 enodes) 1544780277.203 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780277.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780277.203 * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # 1544780277.203 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544780277.206 * * [misc]simplify: iters left: 6 (16 enodes) 1544780277.213 * * [misc]simplify: iters left: 5 (27 enodes) 1544780277.226 * * [misc]simplify: iters left: 4 (50 enodes) 1544780277.255 * * [misc]simplify: iters left: 3 (114 enodes) 1544780277.362 * * [misc]simplify: iters left: 2 (426 enodes) 1544780278.277 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780278.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780278.277 * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # 1544780278.277 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780278.278 * * [misc]simplify: iters left: 6 (15 enodes) 1544780278.281 * * [misc]simplify: iters left: 5 (23 enodes) 1544780278.287 * * [misc]simplify: iters left: 4 (40 enodes) 1544780278.303 * * [misc]simplify: iters left: 3 (82 enodes) 1544780278.348 * * [misc]simplify: iters left: 2 (187 enodes) 1544780278.564 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780278.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780278.564 * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # 1544780278.565 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780278.566 * * [misc]simplify: iters left: 6 (16 enodes) 1544780278.575 * * [misc]simplify: iters left: 5 (30 enodes) 1544780278.588 * * [misc]simplify: iters left: 4 (56 enodes) 1544780278.615 * * [misc]simplify: iters left: 3 (161 enodes) 1544780278.832 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780278.833 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780278.833 * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # 1544780278.833 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780278.834 * * [misc]simplify: iters left: 6 (16 enodes) 1544780278.838 * * [misc]simplify: iters left: 5 (30 enodes) 1544780278.846 * * [misc]simplify: iters left: 4 (56 enodes) 1544780278.871 * * [misc]simplify: iters left: 3 (161 enodes) 1544780279.077 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780279.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780279.077 * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # 1544780279.077 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544780279.080 * * [misc]simplify: iters left: 6 (16 enodes) 1544780279.088 * * [misc]simplify: iters left: 5 (28 enodes) 1544780279.100 * * [misc]simplify: iters left: 4 (46 enodes) 1544780279.121 * * [misc]simplify: iters left: 3 (83 enodes) 1544780279.190 * * [misc]simplify: iters left: 2 (323 enodes) 1544780279.842 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780279.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780279.842 * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # 1544780279.842 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780279.843 * * [misc]simplify: iters left: 6 (15 enodes) 1544780279.846 * * [misc]simplify: iters left: 5 (24 enodes) 1544780279.851 * * [misc]simplify: iters left: 4 (36 enodes) 1544780279.860 * * [misc]simplify: iters left: 3 (60 enodes) 1544780279.902 * * [misc]simplify: iters left: 2 (163 enodes) 1544780280.078 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780280.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780280.078 * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # 1544780280.078 * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # 1544780280.078 * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # 1544780280.078 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544780280.080 * * [misc]simplify: iters left: 6 (19 enodes) 1544780280.085 * * [misc]simplify: iters left: 5 (37 enodes) 1544780280.099 * * [misc]simplify: iters left: 4 (114 enodes) 1544780280.191 * * [misc]simplify: iters left: 3 (443 enodes) 1544780281.084 * [exit]simplify: Simplified to (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544780281.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) k) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544780281.084 * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # 1544780281.084 * [enter]simplify: Simplifying (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780281.087 * * [misc]simplify: iters left: 6 (17 enodes) 1544780281.095 * * [misc]simplify: iters left: 5 (33 enodes) 1544780281.116 * * [misc]simplify: iters left: 4 (87 enodes) 1544780281.178 * * [misc]simplify: iters left: 3 (222 enodes) 1544780281.864 * [exit]simplify: Simplified to (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544780281.864 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544780281.864 * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # 1544780281.864 * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # 1544780281.864 * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # 1544780281.864 * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # 1544780281.864 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780281.865 * * [misc]simplify: iters left: 6 (11 enodes) 1544780281.870 * * [misc]simplify: iters left: 5 (16 enodes) 1544780281.875 * * [misc]simplify: iters left: 4 (19 enodes) 1544780281.882 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780281.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1544780281.882 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1544780281.883 * * [misc]simplify: iters left: 5 (7 enodes) 1544780281.886 * * [misc]simplify: iters left: 4 (8 enodes) 1544780281.889 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1544780281.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1544780281.889 * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # 1544780281.889 * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # 1544780281.889 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780281.890 * * [misc]simplify: iters left: 6 (11 enodes) 1544780281.894 * * [misc]simplify: iters left: 5 (14 enodes) 1544780281.897 * * [misc]simplify: iters left: 4 (17 enodes) 1544780281.903 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780281.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780281.903 * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # 1544780281.903 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780281.904 * * [misc]simplify: iters left: 6 (11 enodes) 1544780281.906 * * [misc]simplify: iters left: 5 (14 enodes) 1544780281.908 * * [misc]simplify: iters left: 4 (17 enodes) 1544780281.911 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780281.911 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780281.911 * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # 1544780281.912 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780281.912 * * [misc]simplify: iters left: 6 (10 enodes) 1544780281.914 * * [misc]simplify: iters left: 5 (13 enodes) 1544780281.916 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780281.916 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544780281.916 * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # 1544780281.917 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780281.917 * * [misc]simplify: iters left: 6 (10 enodes) 1544780281.919 * * [misc]simplify: iters left: 5 (13 enodes) 1544780281.922 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780281.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544780281.922 * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # 1544780281.922 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780281.923 * * [misc]simplify: iters left: 6 (9 enodes) 1544780281.925 * * [misc]simplify: iters left: 5 (12 enodes) 1544780281.927 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780281.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544780281.927 * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # 1544780281.927 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780281.928 * * [misc]simplify: iters left: 6 (10 enodes) 1544780281.930 * * [misc]simplify: iters left: 5 (13 enodes) 1544780281.932 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780281.932 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544780281.933 * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # 1544780281.933 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780281.934 * * [misc]simplify: iters left: 6 (10 enodes) 1544780281.938 * * [misc]simplify: iters left: 5 (13 enodes) 1544780281.942 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780281.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544780281.943 * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # 1544780281.943 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780281.944 * * [misc]simplify: iters left: 6 (9 enodes) 1544780281.945 * * [misc]simplify: iters left: 5 (12 enodes) 1544780281.947 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780281.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544780281.947 * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # 1544780281.948 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780281.948 * * [misc]simplify: iters left: 6 (9 enodes) 1544780281.950 * * [misc]simplify: iters left: 5 (11 enodes) 1544780281.952 * * [misc]simplify: iters left: 4 (14 enodes) 1544780281.954 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780281.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544780281.954 * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # 1544780281.954 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780281.955 * * [misc]simplify: iters left: 6 (9 enodes) 1544780281.956 * * [misc]simplify: iters left: 5 (11 enodes) 1544780281.958 * * [misc]simplify: iters left: 4 (14 enodes) 1544780281.961 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780281.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780281.961 * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # 1544780281.961 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780281.961 * * [misc]simplify: iters left: 6 (8 enodes) 1544780281.963 * * [misc]simplify: iters left: 5 (10 enodes) 1544780281.965 * * [misc]simplify: iters left: 4 (13 enodes) 1544780281.967 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780281.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1544780281.967 * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # 1544780281.967 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780281.968 * * [misc]simplify: iters left: 6 (12 enodes) 1544780281.970 * * [misc]simplify: iters left: 5 (15 enodes) 1544780281.973 * * [misc]simplify: iters left: 4 (18 enodes) 1544780281.976 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780281.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544780281.976 * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # 1544780281.977 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780281.978 * * [misc]simplify: iters left: 6 (12 enodes) 1544780281.982 * * [misc]simplify: iters left: 5 (15 enodes) 1544780281.987 * * [misc]simplify: iters left: 4 (18 enodes) 1544780281.993 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780281.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544780281.993 * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # 1544780281.993 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780281.995 * * [misc]simplify: iters left: 6 (11 enodes) 1544780281.998 * * [misc]simplify: iters left: 5 (14 enodes) 1544780282.003 * * [misc]simplify: iters left: 4 (17 enodes) 1544780282.008 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780282.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780282.008 * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # 1544780282.009 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780282.009 * * [misc]simplify: iters left: 6 (12 enodes) 1544780282.011 * * [misc]simplify: iters left: 5 (15 enodes) 1544780282.014 * * [misc]simplify: iters left: 4 (18 enodes) 1544780282.017 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780282.017 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544780282.017 * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # 1544780282.017 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780282.018 * * [misc]simplify: iters left: 6 (12 enodes) 1544780282.020 * * [misc]simplify: iters left: 5 (15 enodes) 1544780282.024 * * [misc]simplify: iters left: 4 (18 enodes) 1544780282.027 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780282.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544780282.027 * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # 1544780282.027 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780282.028 * * [misc]simplify: iters left: 6 (11 enodes) 1544780282.030 * * [misc]simplify: iters left: 5 (14 enodes) 1544780282.032 * * [misc]simplify: iters left: 4 (17 enodes) 1544780282.035 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780282.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780282.035 * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # 1544780282.035 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780282.036 * * [misc]simplify: iters left: 6 (11 enodes) 1544780282.038 * * [misc]simplify: iters left: 5 (14 enodes) 1544780282.041 * * [misc]simplify: iters left: 4 (17 enodes) 1544780282.046 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780282.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544780282.047 * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # 1544780282.047 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780282.048 * * [misc]simplify: iters left: 6 (11 enodes) 1544780282.052 * * [misc]simplify: iters left: 5 (14 enodes) 1544780282.057 * * [misc]simplify: iters left: 4 (17 enodes) 1544780282.063 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780282.063 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780282.063 * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # 1544780282.063 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780282.064 * * [misc]simplify: iters left: 6 (10 enodes) 1544780282.068 * * [misc]simplify: iters left: 5 (13 enodes) 1544780282.073 * * [misc]simplify: iters left: 4 (16 enodes) 1544780282.079 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780282.079 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780282.079 * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # 1544780282.079 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780282.082 * * [misc]simplify: iters left: 6 (10 enodes) 1544780282.086 * * [misc]simplify: iters left: 5 (13 enodes) 1544780282.090 * * [misc]simplify: iters left: 4 (16 enodes) 1544780282.096 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780282.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780282.096 * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # 1544780282.096 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544780282.097 * * [misc]simplify: iters left: 3 (4 enodes) 1544780282.098 * * [misc]simplify: iters left: 2 (6 enodes) 1544780282.100 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544780282.100 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1544780282.100 * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # 1544780282.100 * [enter]simplify: Simplifying (pow PI 1/2) 1544780282.100 * * [misc]simplify: iters left: 1 (3 enodes) 1544780282.102 * [exit]simplify: Simplified to (sqrt PI) 1544780282.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780282.102 * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # 1544780282.102 * [enter]simplify: Simplifying (pow PI 1/2) 1544780282.102 * * [misc]simplify: iters left: 1 (3 enodes) 1544780282.103 * [exit]simplify: Simplified to (sqrt PI) 1544780282.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780282.104 * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # 1544780282.104 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544780282.105 * * [misc]simplify: iters left: 6 (9 enodes) 1544780282.108 * * [misc]simplify: iters left: 5 (11 enodes) 1544780282.112 * * [misc]simplify: iters left: 4 (14 enodes) 1544780282.116 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544780282.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780282.117 * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # 1544780282.117 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544780282.118 * * [misc]simplify: iters left: 6 (8 enodes) 1544780282.120 * * [misc]simplify: iters left: 5 (10 enodes) 1544780282.124 * * [misc]simplify: iters left: 4 (13 enodes) 1544780282.128 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544780282.128 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780282.129 * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # 1544780282.129 * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # 1544780282.129 * [enter]simplify: Simplifying (sqrt k) 1544780282.129 * * [misc]simplify: iters left: 1 (2 enodes) 1544780282.130 * [exit]simplify: Simplified to (sqrt k) 1544780282.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1544780282.130 * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # 1544780282.130 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780282.131 * * [misc]simplify: iters left: 6 (13 enodes) 1544780282.137 * * [misc]simplify: iters left: 5 (20 enodes) 1544780282.144 * * [misc]simplify: iters left: 4 (27 enodes) 1544780282.152 * * [misc]simplify: iters left: 3 (29 enodes) 1544780282.160 * * [misc]simplify: iters left: 2 (31 enodes) 1544780282.169 * * [misc]simplify: iters left: 1 (32 enodes) 1544780282.180 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780282.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1544780282.181 * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # 1544780282.181 * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # 1544780282.181 * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # 1544780282.181 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780282.182 * * [misc]simplify: iters left: 6 (12 enodes) 1544780282.189 * * [misc]simplify: iters left: 5 (21 enodes) 1544780282.199 * * [misc]simplify: iters left: 4 (38 enodes) 1544780282.225 * * [misc]simplify: iters left: 3 (98 enodes) 1544780282.288 * * [misc]simplify: iters left: 2 (325 enodes) 1544780282.541 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780282.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780282.541 * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # 1544780282.541 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780282.542 * * [misc]simplify: iters left: 6 (12 enodes) 1544780282.546 * * [misc]simplify: iters left: 5 (21 enodes) 1544780282.551 * * [misc]simplify: iters left: 4 (38 enodes) 1544780282.564 * * [misc]simplify: iters left: 3 (98 enodes) 1544780282.626 * * [misc]simplify: iters left: 2 (325 enodes) 1544780282.952 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780282.952 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780282.952 * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # 1544780282.952 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544780282.954 * * [misc]simplify: iters left: 6 (12 enodes) 1544780282.959 * * [misc]simplify: iters left: 5 (19 enodes) 1544780282.963 * * [misc]simplify: iters left: 4 (28 enodes) 1544780282.970 * * [misc]simplify: iters left: 3 (44 enodes) 1544780282.987 * * [misc]simplify: iters left: 2 (124 enodes) 1544780283.078 * * [misc]simplify: iters left: 1 (453 enodes) 1544780283.487 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780283.487 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780283.487 * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # 1544780283.487 * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # 1544780283.487 * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # 1544780283.487 * [enter]simplify: Simplifying (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1544780283.489 * * [misc]simplify: iters left: 6 (14 enodes) 1544780283.496 * * [misc]simplify: iters left: 5 (26 enodes) 1544780283.503 * * [misc]simplify: iters left: 4 (57 enodes) 1544780283.518 * * [misc]simplify: iters left: 3 (112 enodes) 1544780283.549 * * [misc]simplify: iters left: 2 (189 enodes) 1544780283.646 * * [misc]simplify: iters left: 1 (316 enodes) 1544780283.823 * [exit]simplify: Simplified to (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1544780283.824 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544780283.824 * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # 1544780283.824 * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # 1544780283.824 * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # 1544780283.824 * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # 1544780283.824 * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # 1544780283.824 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.825 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.829 * * [misc]simplify: iters left: 5 (14 enodes) 1544780283.833 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.833 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544780283.833 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780283.834 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.835 * * [misc]simplify: iters left: 5 (13 enodes) 1544780283.838 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780283.838 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544780283.838 * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # 1544780283.838 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1544780283.838 * * [misc]simplify: iters left: 5 (9 enodes) 1544780283.842 * * [misc]simplify: iters left: 4 (11 enodes) 1544780283.843 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544780283.844 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544780283.844 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780283.844 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.846 * * [misc]simplify: iters left: 5 (13 enodes) 1544780283.849 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780283.849 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544780283.849 * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # 1544780283.849 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1544780283.849 * * [misc]simplify: iters left: 5 (7 enodes) 1544780283.851 * * [misc]simplify: iters left: 4 (11 enodes) 1544780283.853 * * [misc]simplify: iters left: 3 (13 enodes) 1544780283.854 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544780283.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544780283.854 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780283.855 * * [misc]simplify: iters left: 6 (9 enodes) 1544780283.857 * * [misc]simplify: iters left: 5 (12 enodes) 1544780283.859 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780283.859 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544780283.859 * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # 1544780283.860 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.861 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.864 * * [misc]simplify: iters left: 5 (14 enodes) 1544780283.870 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.870 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k)))))) 1544780283.870 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780283.871 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.875 * * [misc]simplify: iters left: 5 (13 enodes) 1544780283.880 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780283.880 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k)))))) 1544780283.880 * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # 1544780283.880 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1544780283.881 * * [misc]simplify: iters left: 5 (9 enodes) 1544780283.885 * * [misc]simplify: iters left: 4 (11 enodes) 1544780283.888 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544780283.888 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k)))))) 1544780283.888 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780283.890 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.893 * * [misc]simplify: iters left: 5 (13 enodes) 1544780283.898 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780283.898 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k)))))) 1544780283.898 * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # 1544780283.898 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1544780283.899 * * [misc]simplify: iters left: 5 (7 enodes) 1544780283.902 * * [misc]simplify: iters left: 4 (11 enodes) 1544780283.906 * * [misc]simplify: iters left: 3 (13 enodes) 1544780283.909 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544780283.909 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544780283.909 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780283.910 * * [misc]simplify: iters left: 6 (9 enodes) 1544780283.914 * * [misc]simplify: iters left: 5 (12 enodes) 1544780283.918 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780283.918 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (* n 2)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))) 1544780283.918 * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # 1544780283.919 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.920 * * [misc]simplify: iters left: 6 (11 enodes) 1544780283.924 * * [misc]simplify: iters left: 5 (15 enodes) 1544780283.929 * * [misc]simplify: iters left: 4 (18 enodes) 1544780283.935 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.935 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544780283.936 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780283.937 * * [misc]simplify: iters left: 6 (9 enodes) 1544780283.940 * * [misc]simplify: iters left: 5 (11 enodes) 1544780283.944 * * [misc]simplify: iters left: 4 (14 enodes) 1544780283.949 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780283.949 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544780283.949 * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # 1544780283.949 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780283.951 * * [misc]simplify: iters left: 6 (10 enodes) 1544780283.954 * * [misc]simplify: iters left: 5 (12 enodes) 1544780283.958 * * [misc]simplify: iters left: 4 (15 enodes) 1544780283.966 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780283.966 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544780283.966 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780283.967 * * [misc]simplify: iters left: 6 (9 enodes) 1544780283.971 * * [misc]simplify: iters left: 5 (11 enodes) 1544780283.975 * * [misc]simplify: iters left: 4 (14 enodes) 1544780283.978 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780283.978 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544780283.978 * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # 1544780283.978 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1544780283.978 * * [misc]simplify: iters left: 6 (9 enodes) 1544780283.980 * * [misc]simplify: iters left: 5 (13 enodes) 1544780283.983 * * [misc]simplify: iters left: 4 (18 enodes) 1544780283.986 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544780283.986 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1544780283.986 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780283.986 * * [misc]simplify: iters left: 6 (8 enodes) 1544780283.988 * * [misc]simplify: iters left: 5 (10 enodes) 1544780283.990 * * [misc]simplify: iters left: 4 (13 enodes) 1544780283.992 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780283.992 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (pow n (- 1/2 (/ k 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k))))) 1544780283.992 * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # 1544780283.992 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780283.993 * * [misc]simplify: iters left: 6 (14 enodes) 1544780283.996 * * [misc]simplify: iters left: 5 (23 enodes) 1544780284.001 * * [misc]simplify: iters left: 4 (35 enodes) 1544780284.007 * * [misc]simplify: iters left: 3 (38 enodes) 1544780284.012 * * [misc]simplify: iters left: 2 (41 enodes) 1544780284.021 * [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)))) 1544780284.021 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544780284.021 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780284.022 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.024 * * [misc]simplify: iters left: 5 (15 enodes) 1544780284.027 * * [misc]simplify: iters left: 4 (18 enodes) 1544780284.033 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780284.033 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544780284.033 * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # 1544780284.033 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544780284.035 * * [misc]simplify: iters left: 6 (13 enodes) 1544780284.041 * * [misc]simplify: iters left: 5 (18 enodes) 1544780284.047 * * [misc]simplify: iters left: 4 (23 enodes) 1544780284.056 * * [misc]simplify: iters left: 3 (24 enodes) 1544780284.066 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544780284.066 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544780284.066 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.067 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.072 * * [misc]simplify: iters left: 5 (15 enodes) 1544780284.078 * * [misc]simplify: iters left: 4 (18 enodes) 1544780284.084 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.084 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544780284.084 * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # 1544780284.084 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1544780284.086 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.090 * * [misc]simplify: iters left: 5 (19 enodes) 1544780284.098 * * [misc]simplify: iters left: 4 (28 enodes) 1544780284.104 * * [misc]simplify: iters left: 3 (42 enodes) 1544780284.112 * * [misc]simplify: iters left: 2 (68 enodes) 1544780284.122 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544780284.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544780284.123 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780284.123 * * [misc]simplify: iters left: 6 (11 enodes) 1544780284.127 * * [misc]simplify: iters left: 5 (14 enodes) 1544780284.132 * * [misc]simplify: iters left: 4 (17 enodes) 1544780284.138 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780284.138 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544780284.138 * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # 1544780284.139 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780284.140 * * [misc]simplify: iters left: 6 (13 enodes) 1544780284.145 * * [misc]simplify: iters left: 5 (18 enodes) 1544780284.151 * * [misc]simplify: iters left: 4 (21 enodes) 1544780284.159 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780284.159 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544780284.159 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780284.161 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.165 * * [misc]simplify: iters left: 5 (15 enodes) 1544780284.172 * * [misc]simplify: iters left: 4 (18 enodes) 1544780284.177 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780284.177 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))) 1544780284.177 * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # 1544780284.177 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.178 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.180 * * [misc]simplify: iters left: 5 (15 enodes) 1544780284.183 * * [misc]simplify: iters left: 4 (18 enodes) 1544780284.186 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.186 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544780284.186 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.187 * * [misc]simplify: iters left: 6 (12 enodes) 1544780284.189 * * [misc]simplify: iters left: 5 (15 enodes) 1544780284.192 * * [misc]simplify: iters left: 4 (18 enodes) 1544780284.195 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780284.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1544780284.195 * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # 1544780284.195 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1544780284.196 * * [misc]simplify: iters left: 6 (11 enodes) 1544780284.198 * * [misc]simplify: iters left: 5 (16 enodes) 1544780284.201 * * [misc]simplify: iters left: 4 (21 enodes) 1544780284.204 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544780284.204 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544780284.204 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780284.205 * * [misc]simplify: iters left: 6 (11 enodes) 1544780284.207 * * [misc]simplify: iters left: 5 (14 enodes) 1544780284.210 * * [misc]simplify: iters left: 4 (17 enodes) 1544780284.213 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780284.213 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))))) 1544780284.213 * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # 1544780284.213 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544780284.213 * * [misc]simplify: iters left: 6 (6 enodes) 1544780284.215 * * [misc]simplify: iters left: 5 (10 enodes) 1544780284.217 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544780284.217 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544780284.217 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780284.217 * * [misc]simplify: iters left: 6 (11 enodes) 1544780284.219 * * [misc]simplify: iters left: 5 (14 enodes) 1544780284.224 * * [misc]simplify: iters left: 4 (17 enodes) 1544780284.230 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780284.230 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1544780284.230 * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # 1544780284.230 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544780284.231 * * [misc]simplify: iters left: 4 (5 enodes) 1544780284.233 * * [misc]simplify: iters left: 3 (7 enodes) 1544780284.235 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544780284.235 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544780284.235 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780284.236 * * [misc]simplify: iters left: 6 (11 enodes) 1544780284.240 * * [misc]simplify: iters left: 5 (14 enodes) 1544780284.245 * * [misc]simplify: iters left: 4 (17 enodes) 1544780284.251 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780284.251 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1544780284.251 * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # 1544780284.251 * [enter]simplify: Simplifying (/ 1 1) 1544780284.252 * * [misc]simplify: iters left: 2 (2 enodes) 1544780284.253 * * [misc]simplify: iters left: 1 (4 enodes) 1544780284.253 * [exit]simplify: Simplified to 1 1544780284.253 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780284.254 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780284.255 * * [misc]simplify: iters left: 6 (10 enodes) 1544780284.258 * * [misc]simplify: iters left: 5 (13 enodes) 1544780284.263 * * [misc]simplify: iters left: 4 (16 enodes) 1544780284.268 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780284.268 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* 1 (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780284.268 * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # 1544780284.268 * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # 1544780284.269 * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # 1544780284.269 * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # 1544780284.271 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544780284.271 * * [misc]simplify: iters left: 2 (3 enodes) 1544780284.272 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544780284.272 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1544780284.272 * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # 1544780284.273 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544780284.273 * * [misc]simplify: iters left: 2 (3 enodes) 1544780284.274 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544780284.274 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))) 1544780284.274 * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # 1544780284.274 * [enter]simplify: Simplifying (sqrt k) 1544780284.274 * * [misc]simplify: iters left: 1 (2 enodes) 1544780284.275 * [exit]simplify: Simplified to (sqrt k) 1544780284.275 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt k)))) 1544780284.275 * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # 1544780284.275 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544780284.276 * * [misc]simplify: iters left: 3 (5 enodes) 1544780284.278 * * [misc]simplify: iters left: 2 (7 enodes) 1544780284.280 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544780284.280 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544780284.280 * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # 1544780284.280 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544780284.281 * * [misc]simplify: iters left: 3 (5 enodes) 1544780284.283 * * [misc]simplify: iters left: 2 (7 enodes) 1544780284.285 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544780284.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1544780284.285 * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # 1544780284.285 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544780284.286 * * [misc]simplify: iters left: 5 (7 enodes) 1544780284.289 * * [misc]simplify: iters left: 4 (9 enodes) 1544780284.292 * * [misc]simplify: iters left: 3 (12 enodes) 1544780284.296 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544780284.296 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1544780284.296 * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # 1544780284.297 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544780284.298 * * [misc]simplify: iters left: 6 (10 enodes) 1544780284.301 * * [misc]simplify: iters left: 5 (13 enodes) 1544780284.305 * * [misc]simplify: iters left: 4 (16 enodes) 1544780284.307 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544780284.307 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544780284.307 * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # 1544780284.308 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544780284.308 * * [misc]simplify: iters left: 6 (9 enodes) 1544780284.310 * * [misc]simplify: iters left: 5 (12 enodes) 1544780284.312 * * [misc]simplify: iters left: 4 (15 enodes) 1544780284.314 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544780284.314 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544780284.314 * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # 1544780284.314 * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # 1544780284.315 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1544780284.315 * * [misc]simplify: iters left: 3 (5 enodes) 1544780284.316 * * [misc]simplify: iters left: 2 (7 enodes) 1544780284.317 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544780284.317 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* n 2)) (* (sqrt k) (pow (* n 2) (/ k 2)))))) 1544780284.317 * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # 1544780284.317 * [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))))) 1544780284.319 * * [misc]simplify: iters left: 6 (35 enodes) 1544780284.333 * * [misc]simplify: iters left: 5 (99 enodes) 1544780284.398 * * [misc]simplify: iters left: 4 (298 enodes) 1544780284.815 * [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))))))) 1544780284.815 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) (sqrt k)))) 1544780284.815 * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # 1544780284.816 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544780284.817 * * [misc]simplify: iters left: 6 (13 enodes) 1544780284.821 * * [misc]simplify: iters left: 5 (27 enodes) 1544780284.828 * * [misc]simplify: iters left: 4 (53 enodes) 1544780284.843 * * [misc]simplify: iters left: 3 (116 enodes) 1544780284.925 * * [misc]simplify: iters left: 2 (362 enodes) 1544780285.296 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1544780285.296 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (sqrt (* n 2)) (- 1 k)) (sqrt k)))) 1544780285.297 * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # 1544780285.297 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544780285.298 * * [misc]simplify: iters left: 6 (13 enodes) 1544780285.301 * * [misc]simplify: iters left: 5 (24 enodes) 1544780285.310 * * [misc]simplify: iters left: 4 (54 enodes) 1544780285.344 * * [misc]simplify: iters left: 3 (143 enodes) 1544780285.504 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1544780285.504 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (sqrt k)))) 1544780285.504 * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # 1544780285.505 * [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)))) 1544780285.507 * * [misc]simplify: iters left: 6 (18 enodes) 1544780285.516 * * [misc]simplify: iters left: 5 (39 enodes) 1544780285.541 * * [misc]simplify: iters left: 4 (104 enodes) 1544780285.608 * * [misc]simplify: iters left: 3 (275 enodes) 1544780285.820 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1544780285.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780285.820 * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # 1544780285.820 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780285.821 * * [misc]simplify: iters left: 5 (6 enodes) 1544780285.822 * * [misc]simplify: iters left: 4 (9 enodes) 1544780285.825 * * [misc]simplify: iters left: 3 (17 enodes) 1544780285.827 * * [misc]simplify: iters left: 2 (20 enodes) 1544780285.830 * * [misc]simplify: iters left: 1 (24 enodes) 1544780285.836 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780285.836 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780285.836 * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # 1544780285.836 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780285.837 * * [misc]simplify: iters left: 5 (6 enodes) 1544780285.838 * * [misc]simplify: iters left: 4 (9 enodes) 1544780285.841 * * [misc]simplify: iters left: 3 (17 enodes) 1544780285.843 * * [misc]simplify: iters left: 2 (20 enodes) 1544780285.849 * * [misc]simplify: iters left: 1 (24 enodes) 1544780285.862 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780285.862 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780285.862 * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # 1544780285.862 * [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))))))))))))))) 1544780285.862 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780285.862 * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # 1544780285.863 * [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)))))))) 1544780285.863 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780285.863 * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # 1544780285.863 * [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)))))))) 1544780285.863 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780285.863 * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # 1544780285.863 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log 2) (log n))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))))))))))))))))))))) 1544780285.863 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544780285.863 * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # 1544780285.864 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1544780285.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544780285.864 * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # 1544780285.864 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))) (- (+ (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))))))) 1544780285.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544780285.864 * * * [misc]progress: adding candidates to table 1544780288.771 * * [misc]progress: iteration 4 / 4 1544780288.771 * * * [misc]progress: picking best candidate 1544780288.840 * * * * [misc]pick: Picked # 1544780288.840 * * * [misc]progress: localizing error 1544780288.861 * * * [misc]progress: generating rewritten candidates 1544780288.861 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544780288.883 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) 1544780288.904 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) 1544780288.920 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1544780289.087 * * * [misc]progress: generating series expansions 1544780289.087 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544780289.090 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544780289.090 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544780289.091 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.091 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.091 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.091 * [misc]taylor: Taking taylor expansion of k in k 1544780289.091 * [misc]backup-simplify: Simplify 0 into 0 1544780289.091 * [misc]backup-simplify: Simplify 1 into 1 1544780289.091 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780289.091 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.091 * [misc]backup-simplify: Simplify 2 into 2 1544780289.091 * [misc]taylor: Taking taylor expansion of n in k 1544780289.091 * [misc]backup-simplify: Simplify n into n 1544780289.091 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780289.091 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780289.091 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.091 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.092 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.092 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780289.092 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780289.092 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.092 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.092 * [misc]taylor: Taking taylor expansion of k in n 1544780289.092 * [misc]backup-simplify: Simplify k into k 1544780289.092 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.092 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.092 * [misc]backup-simplify: Simplify 2 into 2 1544780289.092 * [misc]taylor: Taking taylor expansion of n in n 1544780289.092 * [misc]backup-simplify: Simplify 0 into 0 1544780289.092 * [misc]backup-simplify: Simplify 1 into 1 1544780289.092 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.092 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.092 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.092 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780289.093 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780289.093 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780289.093 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.093 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780289.093 * [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)))) 1544780289.093 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780289.093 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780289.093 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780289.093 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780289.093 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.093 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.094 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780289.094 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.094 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.094 * [misc]taylor: Taking taylor expansion of k in n 1544780289.094 * [misc]backup-simplify: Simplify k into k 1544780289.094 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.094 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.094 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.094 * [misc]backup-simplify: Simplify 2 into 2 1544780289.094 * [misc]taylor: Taking taylor expansion of n in n 1544780289.094 * [misc]backup-simplify: Simplify 0 into 0 1544780289.094 * [misc]backup-simplify: Simplify 1 into 1 1544780289.094 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.094 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.094 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.094 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780289.094 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780289.094 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780289.094 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.095 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780289.095 * [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)))) 1544780289.095 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.095 * [misc]backup-simplify: Simplify 2 into 2 1544780289.095 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.095 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of n in k 1544780289.095 * [misc]backup-simplify: Simplify n into n 1544780289.095 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780289.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.095 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.095 * [misc]taylor: Taking taylor expansion of k in k 1544780289.095 * [misc]backup-simplify: Simplify 0 into 0 1544780289.095 * [misc]backup-simplify: Simplify 1 into 1 1544780289.095 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544780289.096 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.096 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.096 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.096 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544780289.096 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544780289.096 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544780289.096 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.098 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780289.098 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544780289.098 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.098 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.099 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.099 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544780289.100 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.100 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.100 * [misc]backup-simplify: Simplify 0 into 0 1544780289.100 * [misc]backup-simplify: Simplify 0 into 0 1544780289.100 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780289.100 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.101 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780289.103 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544780289.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.103 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544780289.104 * [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))))) 1544780289.104 * [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))))) 1544780289.104 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780289.107 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780289.107 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544780289.107 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.107 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.108 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.108 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544780289.109 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544780289.109 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.109 * [misc]backup-simplify: Simplify 0 into 0 1544780289.109 * [misc]backup-simplify: Simplify 0 into 0 1544780289.109 * [misc]backup-simplify: Simplify 0 into 0 1544780289.109 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.110 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.110 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.112 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780289.113 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544780289.114 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.114 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544780289.116 * [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))))) 1544780289.118 * [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))))) 1544780289.124 * [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))))) 1544780289.124 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.124 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544780289.124 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.124 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of k in k 1544780289.125 * [misc]backup-simplify: Simplify 0 into 0 1544780289.125 * [misc]backup-simplify: Simplify 1 into 1 1544780289.125 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.125 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780289.125 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.125 * [misc]backup-simplify: Simplify 2 into 2 1544780289.125 * [misc]taylor: Taking taylor expansion of n in k 1544780289.125 * [misc]backup-simplify: Simplify n into n 1544780289.125 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780289.125 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780289.126 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.126 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.126 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.126 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780289.126 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.126 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.126 * [misc]taylor: Taking taylor expansion of k in n 1544780289.126 * [misc]backup-simplify: Simplify k into k 1544780289.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.127 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.127 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.127 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.127 * [misc]backup-simplify: Simplify 2 into 2 1544780289.127 * [misc]taylor: Taking taylor expansion of n in n 1544780289.127 * [misc]backup-simplify: Simplify 0 into 0 1544780289.127 * [misc]backup-simplify: Simplify 1 into 1 1544780289.127 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.127 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.127 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.127 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.127 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.128 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.128 * [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))) 1544780289.128 * [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)))) 1544780289.128 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.128 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.128 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.128 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.129 * [misc]taylor: Taking taylor expansion of k in n 1544780289.129 * [misc]backup-simplify: Simplify k into k 1544780289.129 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.129 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.129 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.129 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.129 * [misc]backup-simplify: Simplify 2 into 2 1544780289.129 * [misc]taylor: Taking taylor expansion of n in n 1544780289.129 * [misc]backup-simplify: Simplify 0 into 0 1544780289.129 * [misc]backup-simplify: Simplify 1 into 1 1544780289.129 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.129 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.130 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.130 * [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))) 1544780289.131 * [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)))) 1544780289.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of k in k 1544780289.131 * [misc]backup-simplify: Simplify 0 into 0 1544780289.131 * [misc]backup-simplify: Simplify 1 into 1 1544780289.131 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.131 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544780289.131 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.131 * [misc]backup-simplify: Simplify 2 into 2 1544780289.132 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.132 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780289.132 * [misc]taylor: Taking taylor expansion of n in k 1544780289.132 * [misc]backup-simplify: Simplify n into n 1544780289.132 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780289.132 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.132 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.132 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.132 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780289.132 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544780289.133 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544780289.133 * [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)))) 1544780289.133 * [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)))) 1544780289.134 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544780289.136 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780289.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.137 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.137 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.137 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.138 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544780289.139 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.139 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.139 * [misc]backup-simplify: Simplify 0 into 0 1544780289.139 * [misc]backup-simplify: Simplify 0 into 0 1544780289.139 * [misc]backup-simplify: Simplify 0 into 0 1544780289.140 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.144 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544780289.144 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780289.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780289.145 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.145 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.146 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544780289.148 * [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 1544780289.148 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.148 * [misc]backup-simplify: Simplify 0 into 0 1544780289.148 * [misc]backup-simplify: Simplify 0 into 0 1544780289.148 * [misc]backup-simplify: Simplify 0 into 0 1544780289.148 * [misc]backup-simplify: Simplify 0 into 0 1544780289.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.156 * [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 1544780289.157 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780289.157 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780289.157 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.157 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.158 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.158 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544780289.162 * [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 1544780289.162 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.162 * [misc]backup-simplify: Simplify 0 into 0 1544780289.162 * [misc]backup-simplify: Simplify 0 into 0 1544780289.162 * [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)))) 1544780289.163 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.163 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544780289.163 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.163 * [misc]taylor: Taking taylor expansion of k in k 1544780289.163 * [misc]backup-simplify: Simplify 0 into 0 1544780289.163 * [misc]backup-simplify: Simplify 1 into 1 1544780289.163 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.163 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.164 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780289.164 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780289.164 * [misc]taylor: Taking taylor expansion of -2 in k 1544780289.164 * [misc]backup-simplify: Simplify -2 into -2 1544780289.164 * [misc]taylor: Taking taylor expansion of n in k 1544780289.164 * [misc]backup-simplify: Simplify n into n 1544780289.164 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780289.164 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780289.164 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.164 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.164 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780289.164 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.164 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of k in n 1544780289.165 * [misc]backup-simplify: Simplify k into k 1544780289.165 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.165 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.165 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.165 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.165 * [misc]backup-simplify: Simplify -2 into -2 1544780289.165 * [misc]taylor: Taking taylor expansion of n in n 1544780289.165 * [misc]backup-simplify: Simplify 0 into 0 1544780289.165 * [misc]backup-simplify: Simplify 1 into 1 1544780289.165 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.165 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.165 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.166 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.166 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.166 * [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))) 1544780289.167 * [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)))) 1544780289.167 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.167 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of k in n 1544780289.167 * [misc]backup-simplify: Simplify k into k 1544780289.167 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.167 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.167 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.167 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.167 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.167 * [misc]backup-simplify: Simplify -2 into -2 1544780289.167 * [misc]taylor: Taking taylor expansion of n in n 1544780289.167 * [misc]backup-simplify: Simplify 0 into 0 1544780289.167 * [misc]backup-simplify: Simplify 1 into 1 1544780289.167 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.168 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.168 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.168 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.168 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.168 * [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))) 1544780289.169 * [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)))) 1544780289.169 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.169 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of k in k 1544780289.169 * [misc]backup-simplify: Simplify 0 into 0 1544780289.169 * [misc]backup-simplify: Simplify 1 into 1 1544780289.169 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.169 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.169 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.169 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544780289.169 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544780289.170 * [misc]taylor: Taking taylor expansion of -2 in k 1544780289.170 * [misc]backup-simplify: Simplify -2 into -2 1544780289.170 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.170 * [misc]taylor: Taking taylor expansion of (log n) in k 1544780289.170 * [misc]taylor: Taking taylor expansion of n in k 1544780289.170 * [misc]backup-simplify: Simplify n into n 1544780289.170 * [misc]backup-simplify: Simplify (log n) into (log n) 1544780289.170 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.170 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.170 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544780289.170 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544780289.171 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544780289.171 * [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)))) 1544780289.171 * [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)))) 1544780289.172 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544780289.174 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544780289.175 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.175 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.175 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.175 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.176 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544780289.177 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.177 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.177 * [misc]backup-simplify: Simplify 0 into 0 1544780289.177 * [misc]backup-simplify: Simplify 0 into 0 1544780289.177 * [misc]backup-simplify: Simplify 0 into 0 1544780289.178 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.182 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544780289.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780289.183 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544780289.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.183 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.184 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544780289.186 * [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 1544780289.186 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.186 * [misc]backup-simplify: Simplify 0 into 0 1544780289.186 * [misc]backup-simplify: Simplify 0 into 0 1544780289.186 * [misc]backup-simplify: Simplify 0 into 0 1544780289.186 * [misc]backup-simplify: Simplify 0 into 0 1544780289.187 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.194 * [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 1544780289.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544780289.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544780289.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.196 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544780289.199 * [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 1544780289.199 * [misc]taylor: Taking taylor expansion of 0 in k 1544780289.199 * [misc]backup-simplify: Simplify 0 into 0 1544780289.199 * [misc]backup-simplify: Simplify 0 into 0 1544780289.200 * [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))))) 1544780289.200 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) 1544780289.200 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.200 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544780289.200 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.200 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.200 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.200 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.200 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.201 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.201 * [misc]taylor: Taking taylor expansion of k in k 1544780289.201 * [misc]backup-simplify: Simplify 0 into 0 1544780289.201 * [misc]backup-simplify: Simplify 1 into 1 1544780289.201 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.201 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.201 * [misc]backup-simplify: Simplify PI into PI 1544780289.201 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.201 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.202 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.202 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.202 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.203 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.203 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.203 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.203 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.203 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.203 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.203 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.203 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.203 * [misc]taylor: Taking taylor expansion of k in k 1544780289.203 * [misc]backup-simplify: Simplify 0 into 0 1544780289.203 * [misc]backup-simplify: Simplify 1 into 1 1544780289.203 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.204 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.204 * [misc]backup-simplify: Simplify PI into PI 1544780289.204 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.204 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.204 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.204 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.205 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.206 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.206 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544780289.209 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.209 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780289.209 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.209 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544780289.214 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780289.215 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780289.220 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544780289.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.221 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544780289.228 * [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))) 1544780289.230 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544780289.234 * [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)))) 1544780289.235 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.235 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544780289.235 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.235 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.235 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.235 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of k in k 1544780289.235 * [misc]backup-simplify: Simplify 0 into 0 1544780289.235 * [misc]backup-simplify: Simplify 1 into 1 1544780289.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.235 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.235 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.235 * [misc]backup-simplify: Simplify PI into PI 1544780289.236 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.236 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.236 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.236 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.237 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.237 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.237 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.237 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.237 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.237 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.238 * [misc]taylor: Taking taylor expansion of k in k 1544780289.238 * [misc]backup-simplify: Simplify 0 into 0 1544780289.238 * [misc]backup-simplify: Simplify 1 into 1 1544780289.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.238 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.238 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.238 * [misc]backup-simplify: Simplify PI into PI 1544780289.238 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.238 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.239 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.239 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.239 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.240 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.240 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify 0 into 0 1544780289.240 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.241 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.241 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544780289.241 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.241 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.243 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.243 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.243 * [misc]taylor: Taking taylor expansion of k in k 1544780289.243 * [misc]backup-simplify: Simplify 0 into 0 1544780289.243 * [misc]backup-simplify: Simplify 1 into 1 1544780289.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.244 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.244 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.244 * [misc]backup-simplify: Simplify PI into PI 1544780289.244 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.245 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.245 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.245 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.246 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.246 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of k in k 1544780289.246 * [misc]backup-simplify: Simplify 0 into 0 1544780289.246 * [misc]backup-simplify: Simplify 1 into 1 1544780289.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.246 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.246 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.246 * [misc]backup-simplify: Simplify PI into PI 1544780289.247 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.247 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.247 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.248 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.248 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.248 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.248 * [misc]backup-simplify: Simplify 0 into 0 1544780289.248 * [misc]backup-simplify: Simplify 0 into 0 1544780289.248 * [misc]backup-simplify: Simplify 0 into 0 1544780289.249 * [misc]backup-simplify: Simplify 0 into 0 1544780289.249 * [misc]backup-simplify: Simplify 0 into 0 1544780289.249 * [misc]backup-simplify: Simplify 0 into 0 1544780289.249 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.249 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) 1544780289.250 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.250 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544780289.250 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.250 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.250 * [misc]taylor: Taking taylor expansion of k in k 1544780289.250 * [misc]backup-simplify: Simplify 0 into 0 1544780289.250 * [misc]backup-simplify: Simplify 1 into 1 1544780289.250 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.250 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.250 * [misc]backup-simplify: Simplify PI into PI 1544780289.251 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.251 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.251 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.252 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.252 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.253 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.253 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.253 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.253 * [misc]taylor: Taking taylor expansion of k in k 1544780289.253 * [misc]backup-simplify: Simplify 0 into 0 1544780289.253 * [misc]backup-simplify: Simplify 1 into 1 1544780289.253 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.253 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.253 * [misc]backup-simplify: Simplify PI into PI 1544780289.254 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.254 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.254 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.254 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.255 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.255 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.256 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544780289.259 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.259 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780289.259 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.259 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.260 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544780289.264 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780289.264 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780289.267 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544780289.267 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.267 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.268 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544780289.272 * [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))) 1544780289.273 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544780289.276 * [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)))) 1544780289.276 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.276 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544780289.276 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.276 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.276 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of k in k 1544780289.276 * [misc]backup-simplify: Simplify 0 into 0 1544780289.276 * [misc]backup-simplify: Simplify 1 into 1 1544780289.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.276 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.276 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.276 * [misc]backup-simplify: Simplify PI into PI 1544780289.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.277 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.277 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.277 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.277 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.277 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.277 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.277 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of k in k 1544780289.278 * [misc]backup-simplify: Simplify 0 into 0 1544780289.278 * [misc]backup-simplify: Simplify 1 into 1 1544780289.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.278 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.278 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.278 * [misc]backup-simplify: Simplify PI into PI 1544780289.278 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.278 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.278 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.278 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.279 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.279 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.279 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify 0 into 0 1544780289.279 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.279 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.280 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544780289.280 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of k in k 1544780289.280 * [misc]backup-simplify: Simplify 0 into 0 1544780289.280 * [misc]backup-simplify: Simplify 1 into 1 1544780289.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.280 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.280 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.280 * [misc]backup-simplify: Simplify PI into PI 1544780289.280 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.280 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.280 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.281 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.281 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.281 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of k in k 1544780289.281 * [misc]backup-simplify: Simplify 0 into 0 1544780289.281 * [misc]backup-simplify: Simplify 1 into 1 1544780289.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.281 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.281 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.281 * [misc]backup-simplify: Simplify PI into PI 1544780289.282 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.282 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.282 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.282 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.282 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.283 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify 0 into 0 1544780289.283 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.283 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1544780289.284 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1544780289.284 * [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 1544780289.284 * [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 1544780289.284 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.284 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.284 * [misc]taylor: Taking taylor expansion of k in n 1544780289.284 * [misc]backup-simplify: Simplify k into k 1544780289.284 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.284 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.284 * [misc]backup-simplify: Simplify 2 into 2 1544780289.284 * [misc]taylor: Taking taylor expansion of n in n 1544780289.284 * [misc]backup-simplify: Simplify 0 into 0 1544780289.284 * [misc]backup-simplify: Simplify 1 into 1 1544780289.284 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.284 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.284 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.284 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780289.284 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780289.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780289.285 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.285 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544780289.285 * [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)))) 1544780289.285 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.285 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.285 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.285 * [misc]taylor: Taking taylor expansion of k in n 1544780289.285 * [misc]backup-simplify: Simplify k into k 1544780289.285 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.285 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.285 * [misc]backup-simplify: Simplify PI into PI 1544780289.285 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.286 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544780289.286 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544780289.286 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544780289.286 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544780289.286 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544780289.286 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544780289.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.286 * [misc]taylor: Taking taylor expansion of k in n 1544780289.286 * [misc]backup-simplify: Simplify k into k 1544780289.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.286 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544780289.286 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.286 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544780289.286 * [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 1544780289.286 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544780289.286 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.287 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.287 * [misc]taylor: Taking taylor expansion of k in k 1544780289.287 * [misc]backup-simplify: Simplify 0 into 0 1544780289.287 * [misc]backup-simplify: Simplify 1 into 1 1544780289.287 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.287 * [misc]backup-simplify: Simplify 2 into 2 1544780289.287 * [misc]taylor: Taking taylor expansion of n in k 1544780289.287 * [misc]backup-simplify: Simplify n into n 1544780289.287 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780289.287 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780289.287 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.287 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.287 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.287 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780289.287 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780289.287 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.287 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.287 * [misc]taylor: Taking taylor expansion of k in k 1544780289.287 * [misc]backup-simplify: Simplify 0 into 0 1544780289.287 * [misc]backup-simplify: Simplify 1 into 1 1544780289.287 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.287 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.288 * [misc]backup-simplify: Simplify PI into PI 1544780289.288 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.288 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.288 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.288 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.288 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.289 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.289 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780289.289 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.289 * [misc]taylor: Taking taylor expansion of k in k 1544780289.289 * [misc]backup-simplify: Simplify 0 into 0 1544780289.289 * [misc]backup-simplify: Simplify 1 into 1 1544780289.289 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.289 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780289.289 * [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 1544780289.290 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.290 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.290 * [misc]taylor: Taking taylor expansion of k in k 1544780289.290 * [misc]backup-simplify: Simplify 0 into 0 1544780289.290 * [misc]backup-simplify: Simplify 1 into 1 1544780289.290 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.290 * [misc]backup-simplify: Simplify 2 into 2 1544780289.290 * [misc]taylor: Taking taylor expansion of n in k 1544780289.290 * [misc]backup-simplify: Simplify n into n 1544780289.290 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544780289.290 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544780289.290 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.290 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.290 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.290 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544780289.290 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544780289.290 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.290 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544780289.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.290 * [misc]taylor: Taking taylor expansion of k in k 1544780289.290 * [misc]backup-simplify: Simplify 0 into 0 1544780289.291 * [misc]backup-simplify: Simplify 1 into 1 1544780289.291 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.291 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.291 * [misc]backup-simplify: Simplify PI into PI 1544780289.291 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.291 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544780289.291 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.291 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.291 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.292 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544780289.292 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544780289.292 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.292 * [misc]taylor: Taking taylor expansion of k in k 1544780289.292 * [misc]backup-simplify: Simplify 0 into 0 1544780289.292 * [misc]backup-simplify: Simplify 1 into 1 1544780289.292 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.292 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.293 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780289.293 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544780289.293 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544780289.293 * [misc]taylor: Taking taylor expansion of 0 in n 1544780289.293 * [misc]backup-simplify: Simplify 0 into 0 1544780289.293 * [misc]backup-simplify: Simplify 0 into 0 1544780289.295 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.295 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780289.295 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.295 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.296 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544780289.300 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544780289.300 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544780289.302 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544780289.302 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544780289.302 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.302 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.303 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544780289.303 * [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)))) 1544780289.305 * [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)))))) 1544780289.307 * [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))))) 1544780289.307 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544780289.307 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780289.307 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.307 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.307 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780289.307 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.307 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.307 * [misc]backup-simplify: Simplify 2 into 2 1544780289.308 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.308 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.308 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780289.308 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780289.308 * [misc]taylor: Taking taylor expansion of n in n 1544780289.308 * [misc]backup-simplify: Simplify 0 into 0 1544780289.308 * [misc]backup-simplify: Simplify 1 into 1 1544780289.308 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.308 * [misc]backup-simplify: Simplify PI into PI 1544780289.309 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780289.309 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780289.309 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.310 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.310 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780289.310 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.310 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.310 * [misc]backup-simplify: Simplify 0 into 0 1544780289.311 * [misc]backup-simplify: Simplify 0 into 0 1544780289.311 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544780289.312 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780289.317 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544780289.317 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.318 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.318 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.319 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544780289.324 * [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))) 1544780289.324 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544780289.326 * [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 1544780289.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.326 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.326 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.326 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544780289.327 * [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))) 1544780289.331 * [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))))))) 1544780289.336 * [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))))))))) 1544780289.336 * [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 1544780289.336 * [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 1544780289.336 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544780289.336 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.336 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.336 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544780289.336 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544780289.336 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.336 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.336 * [misc]backup-simplify: Simplify 2 into 2 1544780289.337 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.337 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.337 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.337 * [misc]backup-simplify: Simplify PI into PI 1544780289.337 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.337 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.337 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.337 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.337 * [misc]backup-simplify: Simplify PI into PI 1544780289.337 * [misc]taylor: Taking taylor expansion of n in n 1544780289.337 * [misc]backup-simplify: Simplify 0 into 0 1544780289.337 * [misc]backup-simplify: Simplify 1 into 1 1544780289.337 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.338 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.338 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.338 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.338 * [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 1544780289.338 * [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 1544780289.338 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780289.338 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.338 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.338 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780289.338 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.338 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.338 * [misc]backup-simplify: Simplify 2 into 2 1544780289.338 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.339 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.339 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780289.339 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780289.339 * [misc]taylor: Taking taylor expansion of n in n 1544780289.339 * [misc]backup-simplify: Simplify 0 into 0 1544780289.339 * [misc]backup-simplify: Simplify 1 into 1 1544780289.339 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.339 * [misc]backup-simplify: Simplify PI into PI 1544780289.339 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780289.339 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780289.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.340 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.340 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.340 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.340 * [misc]backup-simplify: Simplify 2 into 2 1544780289.340 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.340 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.340 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.340 * [misc]backup-simplify: Simplify 2 into 2 1544780289.340 * [misc]taylor: Taking taylor expansion of n in n 1544780289.340 * [misc]backup-simplify: Simplify 0 into 0 1544780289.340 * [misc]backup-simplify: Simplify 1 into 1 1544780289.340 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.341 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.341 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.341 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.341 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.341 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.341 * [misc]backup-simplify: Simplify PI into PI 1544780289.341 * [misc]taylor: Taking taylor expansion of n in n 1544780289.341 * [misc]backup-simplify: Simplify 0 into 0 1544780289.341 * [misc]backup-simplify: Simplify 1 into 1 1544780289.341 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.342 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.342 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.342 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.342 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544780289.343 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544780289.343 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.343 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780289.343 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.344 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.344 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544780289.344 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544780289.344 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.344 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.344 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.344 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.345 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.345 * [misc]backup-simplify: Simplify 0 into 0 1544780289.345 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.347 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.348 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.348 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.348 * [misc]backup-simplify: Simplify 0 into 0 1544780289.348 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.349 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780289.354 * [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 1544780289.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780289.355 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.355 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.356 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544780289.367 * [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))) 1544780289.368 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544780289.371 * [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 1544780289.371 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544780289.372 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.372 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544780289.375 * [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))) 1544780289.388 * [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))))))))) 1544780289.413 * [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))))))))))))))) 1544780289.414 * [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 1544780289.414 * [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 1544780289.415 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.415 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.415 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.415 * [misc]backup-simplify: Simplify 2 into 2 1544780289.415 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.415 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.415 * [misc]backup-simplify: Simplify PI into PI 1544780289.415 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.415 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.415 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.415 * [misc]backup-simplify: Simplify PI into PI 1544780289.415 * [misc]taylor: Taking taylor expansion of n in n 1544780289.415 * [misc]backup-simplify: Simplify 0 into 0 1544780289.415 * [misc]backup-simplify: Simplify 1 into 1 1544780289.416 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.416 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.416 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.416 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.417 * [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 1544780289.417 * [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 1544780289.417 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.417 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.417 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.417 * [misc]backup-simplify: Simplify 2 into 2 1544780289.417 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.417 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.417 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.417 * [misc]backup-simplify: Simplify PI into PI 1544780289.417 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.417 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.417 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.417 * [misc]backup-simplify: Simplify PI into PI 1544780289.417 * [misc]taylor: Taking taylor expansion of n in n 1544780289.417 * [misc]backup-simplify: Simplify 0 into 0 1544780289.417 * [misc]backup-simplify: Simplify 1 into 1 1544780289.418 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.418 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.418 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.418 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.418 * [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 1544780289.418 * [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 1544780289.418 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544780289.418 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.419 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.419 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.419 * [misc]backup-simplify: Simplify 2 into 2 1544780289.419 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.419 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.419 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.419 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.419 * [misc]backup-simplify: Simplify 2 into 2 1544780289.419 * [misc]taylor: Taking taylor expansion of n in n 1544780289.419 * [misc]backup-simplify: Simplify 0 into 0 1544780289.419 * [misc]backup-simplify: Simplify 1 into 1 1544780289.419 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.419 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.419 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.420 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.420 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.420 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.420 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.420 * [misc]backup-simplify: Simplify PI into PI 1544780289.420 * [misc]taylor: Taking taylor expansion of n in n 1544780289.420 * [misc]backup-simplify: Simplify 0 into 0 1544780289.420 * [misc]backup-simplify: Simplify 1 into 1 1544780289.420 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.420 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.420 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.421 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.421 * [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 1544780289.421 * [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 1544780289.421 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.421 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.421 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.421 * [misc]backup-simplify: Simplify 2 into 2 1544780289.421 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.421 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.421 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.421 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.421 * [misc]backup-simplify: Simplify 2 into 2 1544780289.421 * [misc]taylor: Taking taylor expansion of n in n 1544780289.421 * [misc]backup-simplify: Simplify 0 into 0 1544780289.421 * [misc]backup-simplify: Simplify 1 into 1 1544780289.421 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.422 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.422 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.422 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.422 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.422 * [misc]backup-simplify: Simplify PI into PI 1544780289.422 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.422 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780289.422 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780289.422 * [misc]taylor: Taking taylor expansion of n in n 1544780289.422 * [misc]backup-simplify: Simplify 0 into 0 1544780289.422 * [misc]backup-simplify: Simplify 1 into 1 1544780289.422 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.422 * [misc]backup-simplify: Simplify PI into PI 1544780289.422 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780289.423 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780289.423 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.423 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.423 * [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 1544780289.423 * [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 1544780289.423 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544780289.423 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.423 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544780289.423 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.423 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.423 * [misc]backup-simplify: Simplify 2 into 2 1544780289.423 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.423 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.424 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544780289.424 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544780289.424 * [misc]taylor: Taking taylor expansion of n in n 1544780289.424 * [misc]backup-simplify: Simplify 0 into 0 1544780289.424 * [misc]backup-simplify: Simplify 1 into 1 1544780289.424 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.424 * [misc]backup-simplify: Simplify PI into PI 1544780289.424 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544780289.424 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544780289.424 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.425 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.425 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.425 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.425 * [misc]backup-simplify: Simplify 2 into 2 1544780289.425 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544780289.425 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544780289.425 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544780289.425 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.425 * [misc]backup-simplify: Simplify 2 into 2 1544780289.425 * [misc]taylor: Taking taylor expansion of n in n 1544780289.425 * [misc]backup-simplify: Simplify 0 into 0 1544780289.425 * [misc]backup-simplify: Simplify 1 into 1 1544780289.425 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544780289.425 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544780289.425 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.426 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544780289.426 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544780289.426 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.426 * [misc]backup-simplify: Simplify PI into PI 1544780289.426 * [misc]taylor: Taking taylor expansion of n in n 1544780289.426 * [misc]backup-simplify: Simplify 0 into 0 1544780289.426 * [misc]backup-simplify: Simplify 1 into 1 1544780289.426 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544780289.426 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544780289.426 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.427 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544780289.427 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544780289.428 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544780289.428 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.428 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544780289.429 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544780289.430 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544780289.430 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.431 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.431 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544780289.432 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544780289.432 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544780289.432 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.433 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.433 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544780289.433 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544780289.434 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544780289.434 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.434 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544780289.434 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.434 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.435 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544780289.435 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544780289.435 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544780289.435 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.435 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.435 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.436 * [misc]backup-simplify: Simplify 0 into 0 1544780289.438 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.438 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544780289.439 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544780289.441 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544780289.442 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.443 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544780289.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544780289.445 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780289.445 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544780289.445 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544780289.446 * [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)))))) 1544780289.447 * [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)))))) 1544780289.449 * [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)))))) 1544780289.451 * [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))))))) 1544780289.454 * [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))))))) 1544780289.458 * [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))))))))) 1544780289.462 * [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))))))))) 1544780289.468 * [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))))))))) 1544780289.469 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544780289.470 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544780289.471 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544780289.473 * [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)))) 1544780289.476 * [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)))) 1544780289.479 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780289.481 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544780289.494 * [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))))))))))))))) 1544780289.495 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2))))) (/ (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1544780289.495 * [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 1544780289.495 * [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 1544780289.495 * [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 1544780289.495 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.495 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780289.495 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780289.495 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.495 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.495 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.496 * [misc]taylor: Taking taylor expansion of k in n 1544780289.496 * [misc]backup-simplify: Simplify k into k 1544780289.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.496 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.496 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.496 * [misc]backup-simplify: Simplify PI into PI 1544780289.496 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.496 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.496 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.497 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.497 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780289.497 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.498 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.498 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.498 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of k in n 1544780289.498 * [misc]backup-simplify: Simplify k into k 1544780289.498 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.498 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.498 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.498 * [misc]backup-simplify: Simplify 2 into 2 1544780289.498 * [misc]taylor: Taking taylor expansion of n in n 1544780289.498 * [misc]backup-simplify: Simplify 0 into 0 1544780289.498 * [misc]backup-simplify: Simplify 1 into 1 1544780289.498 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.498 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.499 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.499 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.499 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.499 * [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))) 1544780289.500 * [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)))) 1544780289.500 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544780289.500 * [misc]taylor: Taking taylor expansion of k in n 1544780289.500 * [misc]backup-simplify: Simplify k into k 1544780289.500 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544780289.500 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544780289.500 * [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 1544780289.500 * [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 1544780289.500 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.500 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.500 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.500 * [misc]taylor: Taking taylor expansion of k in k 1544780289.500 * [misc]backup-simplify: Simplify 0 into 0 1544780289.501 * [misc]backup-simplify: Simplify 1 into 1 1544780289.501 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.501 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.501 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.501 * [misc]backup-simplify: Simplify PI into PI 1544780289.501 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.501 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.501 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.502 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.502 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.503 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.503 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.503 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.503 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.503 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.503 * [misc]taylor: Taking taylor expansion of k in k 1544780289.503 * [misc]backup-simplify: Simplify 0 into 0 1544780289.504 * [misc]backup-simplify: Simplify 1 into 1 1544780289.504 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.504 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780289.504 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780289.504 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.504 * [misc]backup-simplify: Simplify 2 into 2 1544780289.504 * [misc]taylor: Taking taylor expansion of n in k 1544780289.504 * [misc]backup-simplify: Simplify n into n 1544780289.504 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780289.504 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780289.504 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.504 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.504 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.505 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780289.505 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.505 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780289.505 * [misc]taylor: Taking taylor expansion of k in k 1544780289.505 * [misc]backup-simplify: Simplify 0 into 0 1544780289.505 * [misc]backup-simplify: Simplify 1 into 1 1544780289.505 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.506 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780289.506 * [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 1544780289.506 * [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 1544780289.506 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.506 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.506 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of k in k 1544780289.506 * [misc]backup-simplify: Simplify 0 into 0 1544780289.506 * [misc]backup-simplify: Simplify 1 into 1 1544780289.506 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.506 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.506 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.506 * [misc]backup-simplify: Simplify PI into PI 1544780289.507 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.507 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.507 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.507 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.508 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544780289.508 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.508 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.508 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.508 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.508 * [misc]taylor: Taking taylor expansion of k in k 1544780289.508 * [misc]backup-simplify: Simplify 0 into 0 1544780289.509 * [misc]backup-simplify: Simplify 1 into 1 1544780289.509 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.509 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544780289.509 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544780289.509 * [misc]taylor: Taking taylor expansion of 2 in k 1544780289.509 * [misc]backup-simplify: Simplify 2 into 2 1544780289.509 * [misc]taylor: Taking taylor expansion of n in k 1544780289.509 * [misc]backup-simplify: Simplify n into n 1544780289.509 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544780289.509 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544780289.509 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.509 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544780289.509 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544780289.510 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544780289.510 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.510 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544780289.510 * [misc]taylor: Taking taylor expansion of k in k 1544780289.510 * [misc]backup-simplify: Simplify 0 into 0 1544780289.510 * [misc]backup-simplify: Simplify 1 into 1 1544780289.510 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.511 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544780289.511 * [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))))) 1544780289.511 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544780289.511 * [misc]taylor: Taking taylor expansion of 0 in n 1544780289.511 * [misc]backup-simplify: Simplify 0 into 0 1544780289.511 * [misc]backup-simplify: Simplify 0 into 0 1544780289.512 * [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 1544780289.512 * [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))))))) 1544780289.512 * [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 1544780289.513 * [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 1544780289.513 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.513 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.513 * [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 1544780289.513 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.513 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.513 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of k in n 1544780289.513 * [misc]backup-simplify: Simplify k into k 1544780289.513 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.513 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.513 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.513 * [misc]backup-simplify: Simplify PI into PI 1544780289.513 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.514 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.514 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.514 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.514 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780289.515 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.515 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.515 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of k in n 1544780289.515 * [misc]backup-simplify: Simplify k into k 1544780289.515 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.515 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.515 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.515 * [misc]backup-simplify: Simplify 2 into 2 1544780289.515 * [misc]taylor: Taking taylor expansion of n in n 1544780289.515 * [misc]backup-simplify: Simplify 0 into 0 1544780289.515 * [misc]backup-simplify: Simplify 1 into 1 1544780289.515 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.516 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.516 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.516 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.516 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.516 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.517 * [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))) 1544780289.517 * [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)))) 1544780289.517 * [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))))) 1544780289.518 * [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)))))) 1544780289.519 * [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))))))) 1544780289.519 * [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))))))) 1544780289.519 * [misc]backup-simplify: Simplify 0 into 0 1544780289.521 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780289.521 * [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 1544780289.522 * [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))))))) 1544780289.522 * [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 1544780289.522 * [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 1544780289.522 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.522 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.522 * [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 1544780289.522 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of k in n 1544780289.522 * [misc]backup-simplify: Simplify k into k 1544780289.522 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.522 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.522 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.523 * [misc]backup-simplify: Simplify PI into PI 1544780289.523 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.523 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.523 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.523 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.524 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780289.524 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.524 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of k in n 1544780289.524 * [misc]backup-simplify: Simplify k into k 1544780289.524 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.524 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.524 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.525 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.525 * [misc]backup-simplify: Simplify 2 into 2 1544780289.525 * [misc]taylor: Taking taylor expansion of n in n 1544780289.525 * [misc]backup-simplify: Simplify 0 into 0 1544780289.525 * [misc]backup-simplify: Simplify 1 into 1 1544780289.525 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.525 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.525 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.525 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.526 * [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))) 1544780289.526 * [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)))) 1544780289.527 * [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))))) 1544780289.527 * [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)))))) 1544780289.528 * [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))))))) 1544780289.529 * [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))))))) 1544780289.529 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544780289.531 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544780289.532 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.532 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.533 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.533 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544780289.534 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.537 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.537 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.537 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.537 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.538 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544780289.540 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.540 * [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 1544780289.541 * [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 1544780289.541 * [misc]backup-simplify: Simplify (- 0) into 0 1544780289.541 * [misc]backup-simplify: Simplify 0 into 0 1544780289.541 * [misc]backup-simplify: Simplify 0 into 0 1544780289.542 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780289.543 * [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 1544780289.544 * [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))))))) 1544780289.544 * [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 1544780289.544 * [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 1544780289.544 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.544 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.544 * [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 1544780289.544 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.544 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.544 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.544 * [misc]taylor: Taking taylor expansion of k in n 1544780289.545 * [misc]backup-simplify: Simplify k into k 1544780289.545 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.545 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.545 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.545 * [misc]backup-simplify: Simplify PI into PI 1544780289.545 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.545 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.545 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.545 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.546 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544780289.546 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544780289.546 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544780289.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544780289.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544780289.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544780289.546 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.547 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.547 * [misc]taylor: Taking taylor expansion of k in n 1544780289.547 * [misc]backup-simplify: Simplify k into k 1544780289.547 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.547 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544780289.547 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544780289.547 * [misc]taylor: Taking taylor expansion of 2 in n 1544780289.547 * [misc]backup-simplify: Simplify 2 into 2 1544780289.547 * [misc]taylor: Taking taylor expansion of n in n 1544780289.547 * [misc]backup-simplify: Simplify 0 into 0 1544780289.547 * [misc]backup-simplify: Simplify 1 into 1 1544780289.547 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544780289.547 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544780289.547 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.548 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544780289.548 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544780289.548 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544780289.548 * [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))) 1544780289.549 * [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)))) 1544780289.549 * [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))))) 1544780289.550 * [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)))))) 1544780289.550 * [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))))))) 1544780289.551 * [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))))))) 1544780289.555 * [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)))))))) 1544780289.555 * [misc]backup-simplify: Simplify (* (* (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1544780289.556 * [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 1544780289.556 * [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 1544780289.556 * [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 1544780289.556 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of k in n 1544780289.556 * [misc]backup-simplify: Simplify k into k 1544780289.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.556 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.556 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.556 * [misc]backup-simplify: Simplify -2 into -2 1544780289.556 * [misc]taylor: Taking taylor expansion of n in n 1544780289.556 * [misc]backup-simplify: Simplify 0 into 0 1544780289.556 * [misc]backup-simplify: Simplify 1 into 1 1544780289.556 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.557 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.557 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.557 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.557 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.557 * [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))) 1544780289.558 * [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)))) 1544780289.558 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of k in n 1544780289.558 * [misc]backup-simplify: Simplify k into k 1544780289.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.558 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.558 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.558 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.558 * [misc]backup-simplify: Simplify PI into PI 1544780289.559 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.559 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.559 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.560 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780289.560 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.560 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544780289.560 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544780289.560 * [misc]taylor: Taking taylor expansion of -1 in n 1544780289.560 * [misc]backup-simplify: Simplify -1 into -1 1544780289.560 * [misc]taylor: Taking taylor expansion of k in n 1544780289.560 * [misc]backup-simplify: Simplify k into k 1544780289.560 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544780289.560 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544780289.561 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544780289.561 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544780289.561 * [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))) 1544780289.562 * [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))) 1544780289.562 * [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 1544780289.562 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.562 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.562 * [misc]taylor: Taking taylor expansion of k in k 1544780289.562 * [misc]backup-simplify: Simplify 0 into 0 1544780289.562 * [misc]backup-simplify: Simplify 1 into 1 1544780289.562 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.562 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.563 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780289.563 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780289.563 * [misc]taylor: Taking taylor expansion of -2 in k 1544780289.563 * [misc]backup-simplify: Simplify -2 into -2 1544780289.563 * [misc]taylor: Taking taylor expansion of n in k 1544780289.563 * [misc]backup-simplify: Simplify n into n 1544780289.563 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780289.563 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780289.563 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.563 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.563 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780289.563 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.564 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of k in k 1544780289.564 * [misc]backup-simplify: Simplify 0 into 0 1544780289.564 * [misc]backup-simplify: Simplify 1 into 1 1544780289.564 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.564 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.564 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.564 * [misc]backup-simplify: Simplify PI into PI 1544780289.565 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.565 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.565 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.566 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.566 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780289.566 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780289.566 * [misc]taylor: Taking taylor expansion of -1 in k 1544780289.566 * [misc]backup-simplify: Simplify -1 into -1 1544780289.566 * [misc]taylor: Taking taylor expansion of k in k 1544780289.566 * [misc]backup-simplify: Simplify 0 into 0 1544780289.566 * [misc]backup-simplify: Simplify 1 into 1 1544780289.566 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780289.567 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.567 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780289.567 * [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))) 1544780289.568 * [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)))) 1544780289.568 * [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 1544780289.568 * [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 1544780289.568 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.568 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of k in k 1544780289.568 * [misc]backup-simplify: Simplify 0 into 0 1544780289.568 * [misc]backup-simplify: Simplify 1 into 1 1544780289.568 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.568 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.568 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.568 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544780289.568 * [misc]taylor: Taking taylor expansion of -2 in k 1544780289.568 * [misc]backup-simplify: Simplify -2 into -2 1544780289.568 * [misc]taylor: Taking taylor expansion of n in k 1544780289.568 * [misc]backup-simplify: Simplify n into n 1544780289.568 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544780289.568 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544780289.568 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.568 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.568 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544780289.568 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.569 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.569 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of k in k 1544780289.569 * [misc]backup-simplify: Simplify 0 into 0 1544780289.569 * [misc]backup-simplify: Simplify 1 into 1 1544780289.569 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544780289.569 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544780289.569 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.569 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544780289.569 * [misc]taylor: Taking taylor expansion of PI in k 1544780289.569 * [misc]backup-simplify: Simplify PI into PI 1544780289.569 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.569 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544780289.569 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544780289.570 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544780289.570 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.570 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544780289.570 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544780289.570 * [misc]taylor: Taking taylor expansion of -1 in k 1544780289.570 * [misc]backup-simplify: Simplify -1 into -1 1544780289.570 * [misc]taylor: Taking taylor expansion of k in k 1544780289.570 * [misc]backup-simplify: Simplify 0 into 0 1544780289.570 * [misc]backup-simplify: Simplify 1 into 1 1544780289.570 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544780289.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544780289.571 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544780289.571 * [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))) 1544780289.571 * [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)))) 1544780289.571 * [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 1544780289.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.571 * [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 1544780289.571 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of k in n 1544780289.571 * [misc]backup-simplify: Simplify k into k 1544780289.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.571 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.571 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.571 * [misc]backup-simplify: Simplify -2 into -2 1544780289.571 * [misc]taylor: Taking taylor expansion of n in n 1544780289.571 * [misc]backup-simplify: Simplify 0 into 0 1544780289.571 * [misc]backup-simplify: Simplify 1 into 1 1544780289.572 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.572 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.572 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.572 * [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))) 1544780289.572 * [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)))) 1544780289.572 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.572 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780289.572 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780289.572 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.572 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.572 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.573 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.573 * [misc]taylor: Taking taylor expansion of k in n 1544780289.573 * [misc]backup-simplify: Simplify k into k 1544780289.573 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.573 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.573 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.573 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.573 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.573 * [misc]backup-simplify: Simplify PI into PI 1544780289.573 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.573 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.573 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.573 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780289.574 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.574 * [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))) 1544780289.574 * [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)))) 1544780289.575 * [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)))) 1544780289.575 * [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 1544780289.575 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544780289.576 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544780289.576 * [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))))) 1544780289.576 * [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 1544780289.576 * [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 1544780289.576 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.576 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.576 * [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 1544780289.576 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.576 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of k in n 1544780289.577 * [misc]backup-simplify: Simplify k into k 1544780289.577 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.577 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.577 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.577 * [misc]backup-simplify: Simplify -2 into -2 1544780289.577 * [misc]taylor: Taking taylor expansion of n in n 1544780289.577 * [misc]backup-simplify: Simplify 0 into 0 1544780289.577 * [misc]backup-simplify: Simplify 1 into 1 1544780289.577 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.577 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.577 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.577 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.577 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.578 * [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))) 1544780289.578 * [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)))) 1544780289.578 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.578 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of k in n 1544780289.578 * [misc]backup-simplify: Simplify k into k 1544780289.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.578 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.578 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.578 * [misc]backup-simplify: Simplify PI into PI 1544780289.578 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.578 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.578 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.579 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780289.579 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.579 * [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))) 1544780289.580 * [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)))) 1544780289.580 * [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))))) 1544780289.580 * [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))))) 1544780289.582 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544780289.582 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.582 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.583 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.583 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544780289.584 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.584 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544780289.586 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544780289.586 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544780289.586 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544780289.586 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544780289.586 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.586 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544780289.587 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544780289.588 * [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 1544780289.588 * [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 1544780289.588 * [misc]backup-simplify: Simplify 0 into 0 1544780289.588 * [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 1544780289.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544780289.589 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544780289.590 * [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))))) 1544780289.590 * [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 1544780289.590 * [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 1544780289.590 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544780289.590 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544780289.590 * [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 1544780289.590 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.590 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544780289.590 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544780289.590 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.590 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.590 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.590 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.591 * [misc]taylor: Taking taylor expansion of k in n 1544780289.591 * [misc]backup-simplify: Simplify k into k 1544780289.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.591 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544780289.591 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544780289.591 * [misc]taylor: Taking taylor expansion of -2 in n 1544780289.591 * [misc]backup-simplify: Simplify -2 into -2 1544780289.591 * [misc]taylor: Taking taylor expansion of n in n 1544780289.591 * [misc]backup-simplify: Simplify 0 into 0 1544780289.591 * [misc]backup-simplify: Simplify 1 into 1 1544780289.591 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544780289.591 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544780289.591 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.591 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.591 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544780289.591 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544780289.592 * [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)))) 1544780289.592 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of k in n 1544780289.592 * [misc]backup-simplify: Simplify k into k 1544780289.592 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544780289.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544780289.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544780289.592 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544780289.592 * [misc]taylor: Taking taylor expansion of PI in n 1544780289.592 * [misc]backup-simplify: Simplify PI into PI 1544780289.592 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544780289.592 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544780289.592 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544780289.593 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544780289.593 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544780289.593 * [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))) 1544780289.593 * [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)))) 1544780289.594 * [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))))) 1544780289.596 * [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))))) 1544780289.599 * [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)))))))) 1544780289.599 * * * [misc]progress: simplifying candidates 1544780289.599 * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # 1544780289.599 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544780289.600 * * [misc]simplify: iters left: 6 (9 enodes) 1544780289.605 * * [misc]simplify: iters left: 5 (16 enodes) 1544780289.614 * * [misc]simplify: iters left: 4 (32 enodes) 1544780289.632 * * [misc]simplify: iters left: 3 (68 enodes) 1544780289.665 * * [misc]simplify: iters left: 2 (171 enodes) 1544780289.749 * * [misc]simplify: iters left: 1 (342 enodes) 1544780289.904 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544780289.904 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780289.904 * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # 1544780289.904 * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # 1544780289.904 * [enter]simplify: Simplifying (* n 2) 1544780289.904 * * [misc]simplify: iters left: 2 (3 enodes) 1544780289.905 * * [misc]simplify: iters left: 1 (4 enodes) 1544780289.906 * [exit]simplify: Simplified to (* n 2) 1544780289.906 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))) 1544780289.906 * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # 1544780289.906 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544780289.906 * * [misc]simplify: iters left: 3 (6 enodes) 1544780289.907 * * [misc]simplify: iters left: 2 (7 enodes) 1544780289.908 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544780289.908 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k)))) 1544780289.908 * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # 1544780289.908 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780289.909 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.910 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.911 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.913 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780289.913 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544780289.913 * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # 1544780289.913 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780289.914 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.915 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.916 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.918 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780289.918 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))) 1544780289.918 * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # 1544780289.918 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780289.918 * * [misc]simplify: iters left: 4 (5 enodes) 1544780289.919 * * [misc]simplify: iters left: 3 (7 enodes) 1544780289.921 * * [misc]simplify: iters left: 2 (10 enodes) 1544780289.922 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780289.922 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.922 * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # 1544780289.923 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544780289.923 * * [misc]simplify: iters left: 5 (7 enodes) 1544780289.924 * * [misc]simplify: iters left: 4 (10 enodes) 1544780289.926 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544780289.926 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544780289.926 * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # 1544780289.926 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544780289.927 * * [misc]simplify: iters left: 5 (7 enodes) 1544780289.928 * * [misc]simplify: iters left: 4 (10 enodes) 1544780289.930 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544780289.930 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt k)))) 1544780289.930 * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # 1544780289.930 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544780289.930 * * [misc]simplify: iters left: 5 (7 enodes) 1544780289.931 * * [misc]simplify: iters left: 4 (9 enodes) 1544780289.933 * * [misc]simplify: iters left: 3 (12 enodes) 1544780289.935 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544780289.935 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1544780289.935 * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # 1544780289.935 * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # 1544780289.936 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544780289.936 * * [misc]simplify: iters left: 3 (5 enodes) 1544780289.937 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544780289.937 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.937 * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # 1544780289.937 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780289.937 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.938 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.940 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.942 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780289.942 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.942 * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # 1544780289.942 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780289.942 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.943 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.945 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.947 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780289.947 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.947 * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # 1544780289.947 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780289.948 * * [misc]simplify: iters left: 4 (5 enodes) 1544780289.949 * * [misc]simplify: iters left: 3 (7 enodes) 1544780289.950 * * [misc]simplify: iters left: 2 (10 enodes) 1544780289.952 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780289.952 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.952 * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # 1544780289.952 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780289.952 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.954 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.955 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780289.955 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.955 * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # 1544780289.956 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780289.956 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.957 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.959 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780289.959 * [misc]simplify: Simplified (2 1 2 1 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.959 * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # 1544780289.959 * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # 1544780289.959 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544780289.961 * * [misc]simplify: iters left: 3 (5 enodes) 1544780289.962 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544780289.962 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.962 * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # 1544780289.963 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544780289.963 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.964 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.966 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.968 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544780289.968 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.968 * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # 1544780289.968 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544780289.969 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.970 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.971 * * [misc]simplify: iters left: 3 (11 enodes) 1544780289.973 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544780289.973 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.973 * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # 1544780289.974 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544780289.974 * * [misc]simplify: iters left: 4 (5 enodes) 1544780289.975 * * [misc]simplify: iters left: 3 (7 enodes) 1544780289.976 * * [misc]simplify: iters left: 2 (10 enodes) 1544780289.978 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544780289.978 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.978 * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # 1544780289.978 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780289.978 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.979 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.981 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780289.981 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.981 * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # 1544780289.981 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544780289.981 * * [misc]simplify: iters left: 5 (6 enodes) 1544780289.983 * * [misc]simplify: iters left: 4 (8 enodes) 1544780289.984 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544780289.984 * [misc]simplify: Simplified (2 1 1 1 2) to (λ (k n) (* (* (sqrt (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780289.984 * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # 1544780289.984 * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # 1544780289.985 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780289.985 * * [misc]simplify: iters left: 6 (15 enodes) 1544780289.989 * * [misc]simplify: iters left: 5 (23 enodes) 1544780289.993 * * [misc]simplify: iters left: 4 (36 enodes) 1544780290.000 * * [misc]simplify: iters left: 3 (44 enodes) 1544780290.007 * * [misc]simplify: iters left: 2 (55 enodes) 1544780290.015 * * [misc]simplify: iters left: 1 (63 enodes) 1544780290.031 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1544780290.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1)) 1544780290.031 * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # 1544780290.031 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780290.032 * * [misc]simplify: iters left: 6 (15 enodes) 1544780290.041 * * [misc]simplify: iters left: 5 (23 enodes) 1544780290.051 * * [misc]simplify: iters left: 4 (36 enodes) 1544780290.063 * * [misc]simplify: iters left: 3 (44 enodes) 1544780290.076 * * [misc]simplify: iters left: 2 (55 enodes) 1544780290.091 * * [misc]simplify: iters left: 1 (63 enodes) 1544780290.115 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1544780290.115 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) 1)) 1544780290.115 * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # 1544780290.115 * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # 1544780290.116 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780290.118 * * [misc]simplify: iters left: 6 (18 enodes) 1544780290.126 * * [misc]simplify: iters left: 5 (32 enodes) 1544780290.141 * * [misc]simplify: iters left: 4 (61 enodes) 1544780290.189 * * [misc]simplify: iters left: 3 (171 enodes) 1544780290.375 * [exit]simplify: Simplified to (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780290.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780290.376 * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # 1544780290.376 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780290.377 * * [misc]simplify: iters left: 6 (18 enodes) 1544780290.382 * * [misc]simplify: iters left: 5 (32 enodes) 1544780290.390 * * [misc]simplify: iters left: 4 (61 enodes) 1544780290.415 * * [misc]simplify: iters left: 3 (171 enodes) 1544780290.618 * [exit]simplify: Simplified to (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780290.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780290.618 * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # 1544780290.618 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544780290.620 * * [misc]simplify: iters left: 6 (18 enodes) 1544780290.629 * * [misc]simplify: iters left: 5 (30 enodes) 1544780290.643 * * [misc]simplify: iters left: 4 (51 enodes) 1544780290.665 * * [misc]simplify: iters left: 3 (86 enodes) 1544780290.723 * * [misc]simplify: iters left: 2 (302 enodes) 1544780291.315 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))) 1544780291.315 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (sqrt k)) (log (sqrt (pow PI (- 1/2 (/ k 2))))))))) 1544780291.315 * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # 1544780291.315 * [enter]simplify: Simplifying (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780291.316 * * [misc]simplify: iters left: 6 (17 enodes) 1544780291.320 * * [misc]simplify: iters left: 5 (26 enodes) 1544780291.326 * * [misc]simplify: iters left: 4 (41 enodes) 1544780291.335 * * [misc]simplify: iters left: 3 (63 enodes) 1544780291.350 * * [misc]simplify: iters left: 2 (100 enodes) 1544780291.413 * * [misc]simplify: iters left: 1 (308 enodes) 1544780291.966 * [exit]simplify: Simplified to (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780291.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (+ (log (sqrt (pow PI (- 1/2 (/ k 2))))) (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1544780291.966 * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # 1544780291.967 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780291.969 * * [misc]simplify: iters left: 6 (18 enodes) 1544780291.978 * * [misc]simplify: iters left: 5 (32 enodes) 1544780291.994 * * [misc]simplify: iters left: 4 (64 enodes) 1544780292.039 * * [misc]simplify: iters left: 3 (180 enodes) 1544780292.232 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1544780292.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1544780292.233 * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # 1544780292.233 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1544780292.234 * * [misc]simplify: iters left: 6 (18 enodes) 1544780292.239 * * [misc]simplify: iters left: 5 (32 enodes) 1544780292.248 * * [misc]simplify: iters left: 4 (64 enodes) 1544780292.280 * * [misc]simplify: iters left: 3 (180 enodes) 1544780292.474 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))) 1544780292.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))) (log (sqrt k))))) 1544780292.474 * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # 1544780292.474 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1544780292.476 * * [misc]simplify: iters left: 6 (18 enodes) 1544780292.480 * * [misc]simplify: iters left: 5 (30 enodes) 1544780292.487 * * [misc]simplify: iters left: 4 (54 enodes) 1544780292.506 * * [misc]simplify: iters left: 3 (94 enodes) 1544780292.577 * * [misc]simplify: iters left: 2 (329 enodes) 1544780293.193 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1544780293.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1544780293.193 * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # 1544780293.193 * [enter]simplify: Simplifying (+ (log (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780293.195 * * [misc]simplify: iters left: 6 (17 enodes) 1544780293.203 * * [misc]simplify: iters left: 5 (26 enodes) 1544780293.214 * * [misc]simplify: iters left: 4 (44 enodes) 1544780293.233 * * [misc]simplify: iters left: 3 (71 enodes) 1544780293.267 * * [misc]simplify: iters left: 2 (131 enodes) 1544780293.423 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544780293.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1544780293.423 * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # 1544780293.423 * * * * [misc]progress: [ 58 / 109 ] simplifiying candidate # 1544780293.423 * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # 1544780293.424 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544780293.426 * * [misc]simplify: iters left: 6 (21 enodes) 1544780293.435 * * [misc]simplify: iters left: 5 (43 enodes) 1544780293.452 * * [misc]simplify: iters left: 4 (138 enodes) 1544780293.700 * [exit]simplify: Simplified to (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544780293.700 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (sqrt k)) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ k (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1544780293.700 * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # 1544780293.701 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780293.703 * * [misc]simplify: iters left: 6 (19 enodes) 1544780293.713 * * [misc]simplify: iters left: 5 (39 enodes) 1544780293.736 * * [misc]simplify: iters left: 4 (111 enodes) 1544780293.837 * * [misc]simplify: iters left: 3 (352 enodes) 1544780294.450 * [exit]simplify: Simplified to (/ (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (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)))))) 1544780294.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (* (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)))))))) 1544780294.450 * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # 1544780294.450 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) 1544780294.452 * * [misc]simplify: iters left: 6 (21 enodes) 1544780294.458 * * [misc]simplify: iters left: 5 (45 enodes) 1544780294.476 * * [misc]simplify: iters left: 4 (137 enodes) 1544780294.663 * [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))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544780294.663 * [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))) (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1544780294.663 * * * * [misc]progress: [ 62 / 109 ] simplifiying candidate # 1544780294.663 * [enter]simplify: Simplifying (* (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (* (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780294.666 * * [misc]simplify: iters left: 6 (19 enodes) 1544780294.677 * * [misc]simplify: iters left: 5 (41 enodes) 1544780294.691 * * [misc]simplify: iters left: 4 (112 enodes) 1544780294.772 * * [misc]simplify: iters left: 3 (354 enodes) 1544780295.348 * [exit]simplify: Simplified to (/ (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1544780295.348 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1544780295.348 * * * * [misc]progress: [ 63 / 109 ] simplifiying candidate # 1544780295.348 * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # 1544780295.348 * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # 1544780295.348 * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # 1544780295.348 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780295.349 * * [misc]simplify: iters left: 6 (13 enodes) 1544780295.352 * * [misc]simplify: iters left: 5 (20 enodes) 1544780295.356 * * [misc]simplify: iters left: 4 (26 enodes) 1544780295.360 * * [misc]simplify: iters left: 3 (27 enodes) 1544780295.364 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) 1544780295.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))) (sqrt k)))) 1544780295.364 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))) (sqrt k)) 1544780295.365 * * [misc]simplify: iters left: 6 (9 enodes) 1544780295.366 * * [misc]simplify: iters left: 5 (12 enodes) 1544780295.369 * * [misc]simplify: iters left: 4 (15 enodes) 1544780295.371 * * [misc]simplify: iters left: 3 (16 enodes) 1544780295.373 * [exit]simplify: Simplified to (* (sqrt k) (pow PI (/ k 2))) 1544780295.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt PI)) (* (sqrt k) (pow PI (/ k 2))))) 1544780295.373 * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # 1544780295.373 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780295.374 * * [misc]simplify: iters left: 6 (15 enodes) 1544780295.377 * * [misc]simplify: iters left: 5 (23 enodes) 1544780295.382 * * [misc]simplify: iters left: 4 (32 enodes) 1544780295.387 * * [misc]simplify: iters left: 3 (33 enodes) 1544780295.395 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544780295.395 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544780295.396 * [enter]simplify: Simplifying (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544780295.397 * * [misc]simplify: iters left: 6 (8 enodes) 1544780295.399 * * [misc]simplify: iters left: 5 (9 enodes) 1544780295.403 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544780295.403 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544780295.403 * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # 1544780295.404 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) 1544780295.406 * * [misc]simplify: iters left: 6 (15 enodes) 1544780295.413 * * [misc]simplify: iters left: 5 (23 enodes) 1544780295.422 * * [misc]simplify: iters left: 4 (32 enodes) 1544780295.432 * * [misc]simplify: iters left: 3 (34 enodes) 1544780295.447 * [exit]simplify: Simplified to (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544780295.447 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544780295.447 * [enter]simplify: Simplifying (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544780295.448 * * [misc]simplify: iters left: 6 (8 enodes) 1544780295.451 * * [misc]simplify: iters left: 5 (9 enodes) 1544780295.455 * [exit]simplify: Simplified to (* (sqrt (pow PI (/ k 2))) (sqrt k)) 1544780295.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (sqrt (sqrt PI)) (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (sqrt (pow PI (/ k 2))) (sqrt k)))) 1544780295.455 * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # 1544780295.455 * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # 1544780295.455 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.456 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.461 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.466 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.473 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780295.473 * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # 1544780295.473 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.474 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.478 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.483 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.489 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780295.489 * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # 1544780295.490 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780295.491 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.494 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.499 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780295.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544780295.499 * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # 1544780295.500 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780295.501 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.505 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.510 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780295.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544780295.510 * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # 1544780295.510 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780295.511 * * [misc]simplify: iters left: 6 (9 enodes) 1544780295.513 * * [misc]simplify: iters left: 5 (12 enodes) 1544780295.515 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780295.515 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544780295.515 * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # 1544780295.515 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1544780295.516 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.518 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.520 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1544780295.520 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))))) 1544780295.520 * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # 1544780295.520 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1544780295.521 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.523 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.527 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1544780295.527 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))))) 1544780295.527 * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # 1544780295.527 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780295.528 * * [misc]simplify: iters left: 6 (9 enodes) 1544780295.532 * * [misc]simplify: iters left: 5 (12 enodes) 1544780295.536 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1544780295.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) 1/2) 1)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1544780295.536 * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # 1544780295.536 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780295.537 * * [misc]simplify: iters left: 6 (9 enodes) 1544780295.540 * * [misc]simplify: iters left: 5 (11 enodes) 1544780295.544 * * [misc]simplify: iters left: 4 (14 enodes) 1544780295.549 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780295.549 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544780295.549 * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # 1544780295.550 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780295.550 * * [misc]simplify: iters left: 6 (9 enodes) 1544780295.554 * * [misc]simplify: iters left: 5 (11 enodes) 1544780295.558 * * [misc]simplify: iters left: 4 (14 enodes) 1544780295.563 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780295.563 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780295.564 * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # 1544780295.564 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780295.565 * * [misc]simplify: iters left: 6 (8 enodes) 1544780295.569 * * [misc]simplify: iters left: 5 (10 enodes) 1544780295.573 * * [misc]simplify: iters left: 4 (13 enodes) 1544780295.578 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1544780295.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow n (- 1/2 (/ k 2))) 1)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1544780295.578 * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # 1544780295.579 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780295.580 * * [misc]simplify: iters left: 6 (12 enodes) 1544780295.585 * * [misc]simplify: iters left: 5 (15 enodes) 1544780295.590 * * [misc]simplify: iters left: 4 (18 enodes) 1544780295.597 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780295.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544780295.597 * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # 1544780295.597 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780295.598 * * [misc]simplify: iters left: 6 (12 enodes) 1544780295.603 * * [misc]simplify: iters left: 5 (15 enodes) 1544780295.606 * * [misc]simplify: iters left: 4 (18 enodes) 1544780295.610 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780295.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544780295.610 * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # 1544780295.610 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780295.610 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.613 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.615 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.619 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780295.619 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780295.619 * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # 1544780295.619 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780295.620 * * [misc]simplify: iters left: 6 (12 enodes) 1544780295.623 * * [misc]simplify: iters left: 5 (15 enodes) 1544780295.625 * * [misc]simplify: iters left: 4 (18 enodes) 1544780295.629 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544780295.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1544780295.629 * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # 1544780295.629 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780295.630 * * [misc]simplify: iters left: 6 (12 enodes) 1544780295.632 * * [misc]simplify: iters left: 5 (15 enodes) 1544780295.634 * * [misc]simplify: iters left: 4 (18 enodes) 1544780295.637 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544780295.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1544780295.638 * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # 1544780295.638 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780295.638 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.641 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.643 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.646 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1544780295.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))) 1544780295.646 * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # 1544780295.646 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780295.647 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.649 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.651 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.654 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544780295.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))) 1544780295.654 * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # 1544780295.655 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780295.656 * * [misc]simplify: iters left: 6 (11 enodes) 1544780295.659 * * [misc]simplify: iters left: 5 (14 enodes) 1544780295.661 * * [misc]simplify: iters left: 4 (17 enodes) 1544780295.665 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544780295.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (sqrt k)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544780295.665 * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # 1544780295.666 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780295.667 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.670 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.673 * * [misc]simplify: iters left: 4 (16 enodes) 1544780295.676 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780295.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780295.676 * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # 1544780295.676 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780295.677 * * [misc]simplify: iters left: 6 (10 enodes) 1544780295.679 * * [misc]simplify: iters left: 5 (13 enodes) 1544780295.681 * * [misc]simplify: iters left: 4 (16 enodes) 1544780295.684 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544780295.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780295.684 * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # 1544780295.684 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544780295.685 * * [misc]simplify: iters left: 3 (4 enodes) 1544780295.685 * * [misc]simplify: iters left: 2 (6 enodes) 1544780295.686 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544780295.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ 1 (sqrt k)))) 1544780295.687 * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # 1544780295.687 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544780295.687 * * [misc]simplify: iters left: 6 (8 enodes) 1544780295.689 * * [misc]simplify: iters left: 5 (10 enodes) 1544780295.691 * * [misc]simplify: iters left: 4 (13 enodes) 1544780295.694 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544780295.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1544780295.694 * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # 1544780295.694 * [enter]simplify: Simplifying (sqrt k) 1544780295.694 * * [misc]simplify: iters left: 1 (2 enodes) 1544780295.694 * [exit]simplify: Simplified to (sqrt k) 1544780295.694 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1544780295.695 * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # 1544780295.695 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.696 * * [misc]simplify: iters left: 6 (15 enodes) 1544780295.699 * * [misc]simplify: iters left: 5 (24 enodes) 1544780295.705 * * [misc]simplify: iters left: 4 (37 enodes) 1544780295.712 * * [misc]simplify: iters left: 3 (45 enodes) 1544780295.719 * * [misc]simplify: iters left: 2 (56 enodes) 1544780295.730 * * [misc]simplify: iters left: 1 (64 enodes) 1544780295.749 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) 1544780295.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt k))) (* (sqrt (pow PI (/ k 2))) (sqrt (pow PI (/ k 2)))))) 1544780295.749 * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # 1544780295.749 * [enter]simplify: Simplifying (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI 1/2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.750 * * [misc]simplify: iters left: 6 (17 enodes) 1544780295.754 * * [misc]simplify: iters left: 5 (27 enodes) 1544780295.760 * * [misc]simplify: iters left: 4 (45 enodes) 1544780295.770 * * [misc]simplify: iters left: 3 (59 enodes) 1544780295.779 * * [misc]simplify: iters left: 2 (78 enodes) 1544780295.792 * * [misc]simplify: iters left: 1 (93 enodes) 1544780295.810 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) 1544780295.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (sqrt (pow PI (/ k 2))))) 1544780295.811 * * * * [misc]progress: [ 96 / 109 ] simplifiying candidate # 1544780295.811 * [enter]simplify: Simplifying (* (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1544780295.814 * * [misc]simplify: iters left: 6 (17 enodes) 1544780295.822 * * [misc]simplify: iters left: 5 (27 enodes) 1544780295.833 * * [misc]simplify: iters left: 4 (45 enodes) 1544780295.850 * * [misc]simplify: iters left: 3 (59 enodes) 1544780295.870 * * [misc]simplify: iters left: 2 (78 enodes) 1544780295.894 * * [misc]simplify: iters left: 1 (93 enodes) 1544780295.913 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) 1544780295.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (sqrt PI))))) (sqrt (pow PI (/ k 2))))) 1544780295.913 * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # 1544780295.913 * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # 1544780295.913 * [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))))) 1544780295.916 * * [misc]simplify: iters left: 6 (35 enodes) 1544780295.931 * * [misc]simplify: iters left: 5 (99 enodes) 1544780295.968 * * [misc]simplify: iters left: 4 (298 enodes) 1544780296.383 * [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))))))) 1544780296.383 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) (sqrt k)))) 1544780296.383 * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # 1544780296.383 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544780296.384 * * [misc]simplify: iters left: 6 (13 enodes) 1544780296.389 * * [misc]simplify: iters left: 5 (27 enodes) 1544780296.396 * * [misc]simplify: iters left: 4 (53 enodes) 1544780296.416 * * [misc]simplify: iters left: 3 (116 enodes) 1544780296.514 * * [misc]simplify: iters left: 2 (362 enodes) 1544780296.941 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1544780296.941 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (sqrt (* n 2)) (- 1 k)) (sqrt k)))) 1544780296.941 * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # 1544780296.941 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544780296.943 * * [misc]simplify: iters left: 6 (13 enodes) 1544780296.949 * * [misc]simplify: iters left: 5 (24 enodes) 1544780296.962 * * [misc]simplify: iters left: 4 (54 enodes) 1544780296.994 * * [misc]simplify: iters left: 3 (143 enodes) 1544780297.124 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1544780297.124 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (sqrt k)))) 1544780297.124 * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # 1544780297.124 * [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)))) 1544780297.127 * * [misc]simplify: iters left: 6 (18 enodes) 1544780297.132 * * [misc]simplify: iters left: 5 (39 enodes) 1544780297.145 * * [misc]simplify: iters left: 4 (104 enodes) 1544780297.200 * * [misc]simplify: iters left: 3 (275 enodes) 1544780297.369 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1544780297.369 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.369 * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # 1544780297.369 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780297.369 * * [misc]simplify: iters left: 5 (6 enodes) 1544780297.371 * * [misc]simplify: iters left: 4 (9 enodes) 1544780297.373 * * [misc]simplify: iters left: 3 (17 enodes) 1544780297.376 * * [misc]simplify: iters left: 2 (20 enodes) 1544780297.379 * * [misc]simplify: iters left: 1 (24 enodes) 1544780297.385 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780297.385 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.385 * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # 1544780297.385 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780297.386 * * [misc]simplify: iters left: 5 (6 enodes) 1544780297.387 * * [misc]simplify: iters left: 4 (9 enodes) 1544780297.390 * * [misc]simplify: iters left: 3 (17 enodes) 1544780297.392 * * [misc]simplify: iters left: 2 (20 enodes) 1544780297.395 * * [misc]simplify: iters left: 1 (24 enodes) 1544780297.401 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780297.401 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (* k 1/2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.401 * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # 1544780297.401 * [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)))) 1544780297.402 * * [misc]simplify: iters left: 6 (18 enodes) 1544780297.409 * * [misc]simplify: iters left: 5 (39 enodes) 1544780297.426 * * [misc]simplify: iters left: 4 (104 enodes) 1544780297.463 * * [misc]simplify: iters left: 3 (275 enodes) 1544780297.689 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1544780297.689 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.689 * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # 1544780297.690 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780297.690 * * [misc]simplify: iters left: 5 (6 enodes) 1544780297.693 * * [misc]simplify: iters left: 4 (9 enodes) 1544780297.699 * * [misc]simplify: iters left: 3 (17 enodes) 1544780297.704 * * [misc]simplify: iters left: 2 (20 enodes) 1544780297.710 * * [misc]simplify: iters left: 1 (24 enodes) 1544780297.722 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780297.722 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.722 * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # 1544780297.723 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544780297.723 * * [misc]simplify: iters left: 5 (6 enodes) 1544780297.726 * * [misc]simplify: iters left: 4 (9 enodes) 1544780297.730 * * [misc]simplify: iters left: 3 (17 enodes) 1544780297.736 * * [misc]simplify: iters left: 2 (20 enodes) 1544780297.742 * * [misc]simplify: iters left: 1 (24 enodes) 1544780297.749 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1544780297.749 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (* k 1/2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544780297.749 * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # 1544780297.749 * [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))))))))))))))) 1544780297.749 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780297.749 * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # 1544780297.749 * [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)))))))) 1544780297.749 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780297.749 * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # 1544780297.749 * [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)))))))) 1544780297.749 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544780297.749 * * * [misc]progress: adding candidates to table 1544780300.781 * [misc]progress: [Phase 3 of 3] Extracting. 1544780300.781 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1544780300.783 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544780300.783 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1544780300.910 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1544780301.009 * * * [misc]regime: Found split indices: #