1545816753.913 * [misc]progress: [Phase 1 of 3] Setting up. 1545816753.913 * * * [misc]progress: [1/2] Preparing points 1545816753.913 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1545816754.025 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.025 * * * * [misc]points: Sampling 196 additional inputs, on iter 1 have 60 / 256 1545816754.094 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.094 * * * * [misc]points: Sampling 141 additional inputs, on iter 2 have 115 / 256 1545816754.146 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.146 * * * * [misc]points: Sampling 107 additional inputs, on iter 3 have 149 / 256 1545816754.199 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.199 * * * * [misc]points: Sampling 77 additional inputs, on iter 4 have 179 / 256 1545816754.217 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.217 * * * * [misc]points: Sampling 57 additional inputs, on iter 5 have 199 / 256 1545816754.239 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.239 * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 1545816754.258 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.258 * * * * [misc]points: Sampling 35 additional inputs, on iter 7 have 221 / 256 1545816754.291 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.291 * * * * [misc]points: Sampling 27 additional inputs, on iter 8 have 229 / 256 1545816754.303 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.304 * * * * [misc]points: Sampling 20 additional inputs, on iter 9 have 236 / 256 1545816754.314 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.314 * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 1545816754.323 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.323 * * * * [misc]points: Sampling 9 additional inputs, on iter 11 have 247 / 256 1545816754.330 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.330 * * * * [misc]points: Sampling 8 additional inputs, on iter 12 have 248 / 256 1545816754.336 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.336 * * * * [misc]points: Sampling 6 additional inputs, on iter 13 have 250 / 256 1545816754.342 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.342 * * * * [misc]points: Sampling 6 additional inputs, on iter 14 have 250 / 256 1545816754.347 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.347 * * * * [misc]points: Sampling 5 additional inputs, on iter 15 have 251 / 256 1545816754.353 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.353 * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 1545816754.357 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.358 * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 1545816754.362 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.362 * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 1545816754.367 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.367 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 1545816754.372 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.372 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 255 / 256 1545816754.377 * * * * [misc]points: Filtering points with unrepresentable outputs 1545816754.377 * * * * [exit]points: Sampled 257 points with exact outputs 1545816754.377 * * * [misc]progress: [2/2] Setting up program. 1545816754.385 * [misc]progress: [Phase 2 of 3] Improving. 1545816754.385 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1545816754.386 * * [misc]simplify: iters left: 6 (13 enodes) 1545816754.430 * * [misc]simplify: iters left: 5 (28 enodes) 1545816754.434 * * [misc]simplify: iters left: 4 (41 enodes) 1545816754.442 * * [misc]simplify: iters left: 3 (51 enodes) 1545816754.447 * * [misc]simplify: iters left: 2 (53 enodes) 1545816754.453 * * [misc]simplify: iters left: 1 (57 enodes) 1545816754.458 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545816754.466 * * [misc]progress: iteration 1 / 4 1545816754.466 * * * [misc]progress: picking best candidate 1545816754.473 * * * * [misc]pick: Picked # 1545816754.473 * * * [misc]progress: localizing error 1545816754.495 * * * [misc]progress: generating rewritten candidates 1545816754.495 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1545816754.497 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1545816754.498 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1545816754.508 * * * [misc]progress: generating series expansions 1545816754.508 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1545816754.508 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545816754.508 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545816754.508 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.508 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.508 * [misc]taylor: Taking taylor expansion of k in k 1545816754.508 * [misc]backup-simplify: Simplify 0 into 0 1545816754.508 * [misc]backup-simplify: Simplify 1 into 1 1545816754.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.508 * [misc]backup-simplify: Simplify 2 into 2 1545816754.508 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816754.508 * [misc]taylor: Taking taylor expansion of n in k 1545816754.508 * [misc]backup-simplify: Simplify n into n 1545816754.508 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.508 * [misc]backup-simplify: Simplify PI into PI 1545816754.508 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816754.508 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816754.509 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816754.509 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816754.509 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.509 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.509 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816754.509 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816754.509 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.509 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.509 * [misc]taylor: Taking taylor expansion of k in n 1545816754.509 * [misc]backup-simplify: Simplify k into k 1545816754.509 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.509 * [misc]backup-simplify: Simplify 2 into 2 1545816754.509 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.509 * [misc]taylor: Taking taylor expansion of n in n 1545816754.509 * [misc]backup-simplify: Simplify 0 into 0 1545816754.509 * [misc]backup-simplify: Simplify 1 into 1 1545816754.509 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.509 * [misc]backup-simplify: Simplify PI into PI 1545816754.510 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816754.510 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816754.510 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816754.511 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816754.511 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.511 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816754.511 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816754.511 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816754.512 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.512 * [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)))) 1545816754.512 * [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))))) 1545816754.512 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816754.512 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.513 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.513 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.513 * [misc]taylor: Taking taylor expansion of k in n 1545816754.513 * [misc]backup-simplify: Simplify k into k 1545816754.513 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.513 * [misc]backup-simplify: Simplify 2 into 2 1545816754.513 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.513 * [misc]taylor: Taking taylor expansion of n in n 1545816754.513 * [misc]backup-simplify: Simplify 0 into 0 1545816754.513 * [misc]backup-simplify: Simplify 1 into 1 1545816754.513 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.513 * [misc]backup-simplify: Simplify PI into PI 1545816754.513 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816754.513 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816754.513 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816754.514 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816754.514 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.514 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816754.514 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816754.514 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816754.515 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.515 * [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)))) 1545816754.515 * [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))))) 1545816754.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.516 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.516 * [misc]taylor: Taking taylor expansion of k in k 1545816754.516 * [misc]backup-simplify: Simplify 0 into 0 1545816754.516 * [misc]backup-simplify: Simplify 1 into 1 1545816754.516 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of n in k 1545816754.516 * [misc]backup-simplify: Simplify n into n 1545816754.516 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.516 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816754.516 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.516 * [misc]backup-simplify: Simplify 2 into 2 1545816754.516 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.516 * [misc]backup-simplify: Simplify PI into PI 1545816754.516 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.517 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816754.517 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.517 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.517 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.517 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545816754.518 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545816754.518 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545816754.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816754.519 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816754.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.521 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816754.521 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.522 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.522 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545816754.523 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.523 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.523 * [misc]backup-simplify: Simplify 0 into 0 1545816754.523 * [misc]backup-simplify: Simplify 0 into 0 1545816754.524 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816754.525 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816754.527 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.528 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816754.528 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.528 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545816754.530 * [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))))))) 1545816754.532 * [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))))))) 1545816754.534 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.535 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545816754.541 * [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 1545816754.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816754.541 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.543 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816754.545 * [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 1545816754.545 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.545 * [misc]backup-simplify: Simplify 0 into 0 1545816754.545 * [misc]backup-simplify: Simplify 0 into 0 1545816754.545 * [misc]backup-simplify: Simplify 0 into 0 1545816754.547 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816754.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.551 * [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 1545816754.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.551 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816754.551 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.551 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.552 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816754.553 * [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))))) 1545816754.555 * [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))))) 1545816754.558 * [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))))) 1545816754.558 * [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)))) 1545816754.558 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545816754.558 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.558 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.558 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.558 * [misc]taylor: Taking taylor expansion of k in k 1545816754.558 * [misc]backup-simplify: Simplify 0 into 0 1545816754.558 * [misc]backup-simplify: Simplify 1 into 1 1545816754.559 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.559 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816754.559 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816754.559 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.559 * [misc]backup-simplify: Simplify 2 into 2 1545816754.559 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816754.559 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.559 * [misc]backup-simplify: Simplify PI into PI 1545816754.559 * [misc]taylor: Taking taylor expansion of n in k 1545816754.559 * [misc]backup-simplify: Simplify n into n 1545816754.559 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816754.559 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816754.559 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816754.559 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.559 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.559 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.559 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816754.559 * [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)))) 1545816754.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816754.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816754.559 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of k in n 1545816754.560 * [misc]backup-simplify: Simplify k into k 1545816754.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.560 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.560 * [misc]backup-simplify: Simplify 2 into 2 1545816754.560 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.560 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.560 * [misc]backup-simplify: Simplify PI into PI 1545816754.560 * [misc]taylor: Taking taylor expansion of n in n 1545816754.560 * [misc]backup-simplify: Simplify 0 into 0 1545816754.560 * [misc]backup-simplify: Simplify 1 into 1 1545816754.560 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.560 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.561 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.561 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.561 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816754.561 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816754.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.562 * [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))) 1545816754.562 * [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)))) 1545816754.562 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.562 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.562 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of k in n 1545816754.562 * [misc]backup-simplify: Simplify k into k 1545816754.562 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.562 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.562 * [misc]backup-simplify: Simplify 2 into 2 1545816754.562 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.562 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.562 * [misc]backup-simplify: Simplify PI into PI 1545816754.562 * [misc]taylor: Taking taylor expansion of n in n 1545816754.562 * [misc]backup-simplify: Simplify 0 into 0 1545816754.562 * [misc]backup-simplify: Simplify 1 into 1 1545816754.562 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.563 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.563 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.563 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.563 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816754.563 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816754.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.564 * [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))) 1545816754.564 * [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)))) 1545816754.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545816754.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545816754.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816754.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.564 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.564 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.564 * [misc]taylor: Taking taylor expansion of k in k 1545816754.564 * [misc]backup-simplify: Simplify 0 into 0 1545816754.565 * [misc]backup-simplify: Simplify 1 into 1 1545816754.565 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.565 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545816754.565 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816754.565 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816754.565 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.565 * [misc]backup-simplify: Simplify 2 into 2 1545816754.565 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.565 * [misc]backup-simplify: Simplify PI into PI 1545816754.565 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.565 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.565 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.565 * [misc]taylor: Taking taylor expansion of n in k 1545816754.565 * [misc]backup-simplify: Simplify n into n 1545816754.565 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.565 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.565 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.566 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.566 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816754.566 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545816754.566 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545816754.567 * [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)))) 1545816754.567 * [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)))) 1545816754.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.568 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816754.570 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.570 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816754.570 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.570 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.571 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.571 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545816754.572 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.572 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.572 * [misc]backup-simplify: Simplify 0 into 0 1545816754.572 * [misc]backup-simplify: Simplify 0 into 0 1545816754.572 * [misc]backup-simplify: Simplify 0 into 0 1545816754.573 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.577 * [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 1545816754.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816754.578 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.580 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545816754.583 * [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 1545816754.583 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.583 * [misc]backup-simplify: Simplify 0 into 0 1545816754.583 * [misc]backup-simplify: Simplify 0 into 0 1545816754.583 * [misc]backup-simplify: Simplify 0 into 0 1545816754.583 * [misc]backup-simplify: Simplify 0 into 0 1545816754.585 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.586 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.596 * [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 1545816754.596 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816754.597 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.597 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.599 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545816754.603 * [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 1545816754.603 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.603 * [misc]backup-simplify: Simplify 0 into 0 1545816754.603 * [misc]backup-simplify: Simplify 0 into 0 1545816754.604 * [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))))) 1545816754.604 * [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)) 1545816754.605 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545816754.605 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.605 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of k in k 1545816754.605 * [misc]backup-simplify: Simplify 0 into 0 1545816754.605 * [misc]backup-simplify: Simplify 1 into 1 1545816754.605 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.605 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.605 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.605 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of -2 in k 1545816754.605 * [misc]backup-simplify: Simplify -2 into -2 1545816754.605 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816754.605 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.605 * [misc]backup-simplify: Simplify PI into PI 1545816754.605 * [misc]taylor: Taking taylor expansion of n in k 1545816754.605 * [misc]backup-simplify: Simplify n into n 1545816754.605 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816754.606 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816754.606 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816754.606 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.606 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.606 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816754.606 * [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))) 1545816754.606 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816754.606 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.607 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of k in n 1545816754.607 * [misc]backup-simplify: Simplify k into k 1545816754.607 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.607 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.607 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.607 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.607 * [misc]backup-simplify: Simplify -2 into -2 1545816754.607 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.607 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.607 * [misc]backup-simplify: Simplify PI into PI 1545816754.607 * [misc]taylor: Taking taylor expansion of n in n 1545816754.607 * [misc]backup-simplify: Simplify 0 into 0 1545816754.607 * [misc]backup-simplify: Simplify 1 into 1 1545816754.608 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.608 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.609 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.609 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.609 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816754.610 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.610 * [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))) 1545816754.611 * [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)))) 1545816754.611 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.611 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.611 * [misc]taylor: Taking taylor expansion of k in n 1545816754.611 * [misc]backup-simplify: Simplify k into k 1545816754.611 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.611 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816754.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.612 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.612 * [misc]backup-simplify: Simplify -2 into -2 1545816754.612 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.612 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.612 * [misc]backup-simplify: Simplify PI into PI 1545816754.612 * [misc]taylor: Taking taylor expansion of n in n 1545816754.612 * [misc]backup-simplify: Simplify 0 into 0 1545816754.612 * [misc]backup-simplify: Simplify 1 into 1 1545816754.612 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.612 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.613 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.613 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.613 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816754.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.614 * [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))) 1545816754.615 * [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)))) 1545816754.615 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.615 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.615 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of k in k 1545816754.615 * [misc]backup-simplify: Simplify 0 into 0 1545816754.615 * [misc]backup-simplify: Simplify 1 into 1 1545816754.615 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.615 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.615 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.615 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545816754.615 * [misc]taylor: Taking taylor expansion of -2 in k 1545816754.616 * [misc]backup-simplify: Simplify -2 into -2 1545816754.616 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.616 * [misc]backup-simplify: Simplify PI into PI 1545816754.616 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.616 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.616 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.616 * [misc]taylor: Taking taylor expansion of n in k 1545816754.616 * [misc]backup-simplify: Simplify n into n 1545816754.616 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.617 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.617 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816754.617 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545816754.618 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545816754.618 * [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)))) 1545816754.619 * [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)))) 1545816754.620 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.621 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816754.623 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545816754.623 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816754.624 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.624 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.625 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545816754.626 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.627 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.627 * [misc]backup-simplify: Simplify 0 into 0 1545816754.627 * [misc]backup-simplify: Simplify 0 into 0 1545816754.627 * [misc]backup-simplify: Simplify 0 into 0 1545816754.628 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.629 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.633 * [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 1545816754.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816754.634 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.635 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545816754.638 * [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 1545816754.638 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.638 * [misc]backup-simplify: Simplify 0 into 0 1545816754.638 * [misc]backup-simplify: Simplify 0 into 0 1545816754.638 * [misc]backup-simplify: Simplify 0 into 0 1545816754.638 * [misc]backup-simplify: Simplify 0 into 0 1545816754.642 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.643 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.649 * [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 1545816754.649 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.649 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816754.649 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.650 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.650 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545816754.653 * [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 1545816754.653 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.653 * [misc]backup-simplify: Simplify 0 into 0 1545816754.653 * [misc]backup-simplify: Simplify 0 into 0 1545816754.653 * [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))))) 1545816754.653 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1545816754.654 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545816754.654 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545816754.654 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.654 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.654 * [misc]backup-simplify: Simplify 2 into 2 1545816754.654 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.654 * [misc]taylor: Taking taylor expansion of n in n 1545816754.654 * [misc]backup-simplify: Simplify 0 into 0 1545816754.654 * [misc]backup-simplify: Simplify 1 into 1 1545816754.654 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.654 * [misc]backup-simplify: Simplify PI into PI 1545816754.654 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.654 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.654 * [misc]backup-simplify: Simplify 2 into 2 1545816754.654 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.654 * [misc]taylor: Taking taylor expansion of n in n 1545816754.654 * [misc]backup-simplify: Simplify 0 into 0 1545816754.654 * [misc]backup-simplify: Simplify 1 into 1 1545816754.654 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.654 * [misc]backup-simplify: Simplify PI into PI 1545816754.655 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816754.655 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816754.655 * [misc]backup-simplify: Simplify 0 into 0 1545816754.656 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816754.656 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816754.656 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.657 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816754.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816754.658 * [misc]backup-simplify: Simplify 0 into 0 1545816754.659 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.660 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545816754.660 * [misc]backup-simplify: Simplify 0 into 0 1545816754.661 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816754.662 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545816754.662 * [misc]backup-simplify: Simplify 0 into 0 1545816754.664 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816754.665 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545816754.665 * [misc]backup-simplify: Simplify 0 into 0 1545816754.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816754.669 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545816754.669 * [misc]backup-simplify: Simplify 0 into 0 1545816754.671 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545816754.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545816754.674 * [misc]backup-simplify: Simplify 0 into 0 1545816754.674 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545816754.674 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545816754.674 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545816754.674 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.674 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.674 * [misc]backup-simplify: Simplify 2 into 2 1545816754.674 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.674 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.674 * [misc]backup-simplify: Simplify PI into PI 1545816754.674 * [misc]taylor: Taking taylor expansion of n in n 1545816754.674 * [misc]backup-simplify: Simplify 0 into 0 1545816754.674 * [misc]backup-simplify: Simplify 1 into 1 1545816754.675 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.675 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.675 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.675 * [misc]backup-simplify: Simplify 2 into 2 1545816754.675 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.675 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.675 * [misc]backup-simplify: Simplify PI into PI 1545816754.675 * [misc]taylor: Taking taylor expansion of n in n 1545816754.675 * [misc]backup-simplify: Simplify 0 into 0 1545816754.675 * [misc]backup-simplify: Simplify 1 into 1 1545816754.675 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.675 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.675 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.676 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816754.676 * [misc]backup-simplify: Simplify 0 into 0 1545816754.677 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.678 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.678 * [misc]backup-simplify: Simplify 0 into 0 1545816754.679 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.680 * [misc]backup-simplify: Simplify 0 into 0 1545816754.681 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.682 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816754.682 * [misc]backup-simplify: Simplify 0 into 0 1545816754.683 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816754.685 * [misc]backup-simplify: Simplify 0 into 0 1545816754.686 * [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 1545816754.688 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816754.688 * [misc]backup-simplify: Simplify 0 into 0 1545816754.688 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545816754.688 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545816754.688 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545816754.688 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.688 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.688 * [misc]backup-simplify: Simplify -2 into -2 1545816754.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.688 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.688 * [misc]backup-simplify: Simplify PI into PI 1545816754.688 * [misc]taylor: Taking taylor expansion of n in n 1545816754.688 * [misc]backup-simplify: Simplify 0 into 0 1545816754.688 * [misc]backup-simplify: Simplify 1 into 1 1545816754.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.689 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.689 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.689 * [misc]backup-simplify: Simplify -2 into -2 1545816754.689 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.689 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.689 * [misc]backup-simplify: Simplify PI into PI 1545816754.689 * [misc]taylor: Taking taylor expansion of n in n 1545816754.689 * [misc]backup-simplify: Simplify 0 into 0 1545816754.689 * [misc]backup-simplify: Simplify 1 into 1 1545816754.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.689 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.689 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.690 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.690 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816754.690 * [misc]backup-simplify: Simplify 0 into 0 1545816754.691 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.692 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.692 * [misc]backup-simplify: Simplify 0 into 0 1545816754.693 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.694 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.694 * [misc]backup-simplify: Simplify 0 into 0 1545816754.695 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.696 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816754.696 * [misc]backup-simplify: Simplify 0 into 0 1545816754.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.699 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816754.699 * [misc]backup-simplify: Simplify 0 into 0 1545816754.700 * [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 1545816754.702 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816754.702 * [misc]backup-simplify: Simplify 0 into 0 1545816754.702 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545816754.703 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1545816754.703 * [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)))) 1545816754.703 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1545816754.703 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545816754.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816754.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.703 * [misc]taylor: Taking taylor expansion of k in k 1545816754.703 * [misc]backup-simplify: Simplify 0 into 0 1545816754.703 * [misc]backup-simplify: Simplify 1 into 1 1545816754.703 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.704 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816754.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.704 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.704 * [misc]taylor: Taking taylor expansion of k in k 1545816754.704 * [misc]backup-simplify: Simplify 0 into 0 1545816754.704 * [misc]backup-simplify: Simplify 1 into 1 1545816754.704 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.704 * [misc]backup-simplify: Simplify 2 into 2 1545816754.704 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816754.704 * [misc]taylor: Taking taylor expansion of n in k 1545816754.704 * [misc]backup-simplify: Simplify n into n 1545816754.704 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.704 * [misc]backup-simplify: Simplify PI into PI 1545816754.704 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816754.704 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816754.704 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816754.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816754.704 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.704 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816754.704 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816754.704 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545816754.704 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of k in n 1545816754.705 * [misc]backup-simplify: Simplify k into k 1545816754.705 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.705 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816754.705 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.705 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816754.705 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.705 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.705 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.705 * [misc]taylor: Taking taylor expansion of k in n 1545816754.705 * [misc]backup-simplify: Simplify k into k 1545816754.705 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.705 * [misc]backup-simplify: Simplify 2 into 2 1545816754.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.705 * [misc]taylor: Taking taylor expansion of n in n 1545816754.705 * [misc]backup-simplify: Simplify 0 into 0 1545816754.705 * [misc]backup-simplify: Simplify 1 into 1 1545816754.705 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.705 * [misc]backup-simplify: Simplify PI into PI 1545816754.705 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816754.705 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816754.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816754.706 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816754.706 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.706 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816754.707 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816754.707 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816754.707 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.707 * [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)))) 1545816754.708 * [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))))) 1545816754.708 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of k in n 1545816754.708 * [misc]backup-simplify: Simplify k into k 1545816754.708 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.708 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816754.708 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.708 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816754.708 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.708 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.708 * [misc]taylor: Taking taylor expansion of k in n 1545816754.708 * [misc]backup-simplify: Simplify k into k 1545816754.708 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.708 * [misc]backup-simplify: Simplify 2 into 2 1545816754.708 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816754.708 * [misc]taylor: Taking taylor expansion of n in n 1545816754.708 * [misc]backup-simplify: Simplify 0 into 0 1545816754.708 * [misc]backup-simplify: Simplify 1 into 1 1545816754.708 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.708 * [misc]backup-simplify: Simplify PI into PI 1545816754.709 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816754.709 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816754.709 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816754.709 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816754.710 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.710 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816754.710 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816754.710 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816754.710 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.711 * [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)))) 1545816754.711 * [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))))) 1545816754.712 * [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))) 1545816754.712 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.712 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.712 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.712 * [misc]taylor: Taking taylor expansion of k in k 1545816754.712 * [misc]backup-simplify: Simplify 0 into 0 1545816754.712 * [misc]backup-simplify: Simplify 1 into 1 1545816754.712 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of n in k 1545816754.712 * [misc]backup-simplify: Simplify n into n 1545816754.712 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.712 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816754.712 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.712 * [misc]backup-simplify: Simplify 2 into 2 1545816754.712 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.712 * [misc]backup-simplify: Simplify PI into PI 1545816754.712 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.712 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.713 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816754.713 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.713 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.713 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.713 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545816754.714 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545816754.714 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816754.714 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.714 * [misc]taylor: Taking taylor expansion of k in k 1545816754.714 * [misc]backup-simplify: Simplify 0 into 0 1545816754.714 * [misc]backup-simplify: Simplify 1 into 1 1545816754.714 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.714 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816754.715 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1545816754.715 * [misc]backup-simplify: Simplify 0 into 0 1545816754.715 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816754.716 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816754.718 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816754.718 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.718 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.718 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.719 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545816754.720 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.721 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1545816754.721 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.721 * [misc]backup-simplify: Simplify 0 into 0 1545816754.722 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816754.722 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816754.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.725 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.726 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816754.726 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.726 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.727 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545816754.729 * [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))))))) 1545816754.731 * [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))))))) 1545816754.731 * [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))))))) 1545816754.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.735 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545816754.740 * [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 1545816754.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816754.740 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.742 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816754.744 * [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 1545816754.745 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.745 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545816754.746 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1545816754.746 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.746 * [misc]backup-simplify: Simplify 0 into 0 1545816754.746 * [misc]backup-simplify: Simplify 0 into 0 1545816754.747 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816754.748 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816754.749 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816754.750 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.757 * [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 1545816754.757 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.757 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816754.758 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.758 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816754.761 * [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))))) 1545816754.766 * [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)))))))) 1545816754.769 * [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)))))))) 1545816754.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816754.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545816754.781 * [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 1545816754.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545816754.782 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.783 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816754.784 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545816754.788 * [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 1545816754.788 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.788 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545816754.789 * [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 1545816754.789 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.789 * [misc]backup-simplify: Simplify 0 into 0 1545816754.789 * [misc]backup-simplify: Simplify 0 into 0 1545816754.789 * [misc]backup-simplify: Simplify 0 into 0 1545816754.790 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.791 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816754.793 * [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 1545816754.795 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.801 * [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 1545816754.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816754.802 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1545816754.806 * [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))))))) 1545816754.814 * [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)))))))))))))) 1545816754.820 * [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)))))))))))))) 1545816754.831 * [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)))))))))))))))))))))) 1545816754.831 * [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))))) 1545816754.832 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545816754.832 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816754.832 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816754.832 * [misc]taylor: Taking taylor expansion of k in k 1545816754.832 * [misc]backup-simplify: Simplify 0 into 0 1545816754.832 * [misc]backup-simplify: Simplify 1 into 1 1545816754.832 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.832 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816754.832 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of k in k 1545816754.833 * [misc]backup-simplify: Simplify 0 into 0 1545816754.833 * [misc]backup-simplify: Simplify 1 into 1 1545816754.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.833 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.833 * [misc]backup-simplify: Simplify 2 into 2 1545816754.833 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816754.833 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.833 * [misc]backup-simplify: Simplify PI into PI 1545816754.833 * [misc]taylor: Taking taylor expansion of n in k 1545816754.833 * [misc]backup-simplify: Simplify n into n 1545816754.833 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816754.833 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816754.833 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816754.834 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.834 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.834 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.834 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816754.834 * [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)))) 1545816754.834 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816754.834 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816754.834 * [misc]taylor: Taking taylor expansion of k in n 1545816754.834 * [misc]backup-simplify: Simplify k into k 1545816754.834 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816754.835 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816754.835 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.835 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.835 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of k in n 1545816754.835 * [misc]backup-simplify: Simplify k into k 1545816754.835 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.835 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.835 * [misc]backup-simplify: Simplify 2 into 2 1545816754.835 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.835 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.835 * [misc]backup-simplify: Simplify PI into PI 1545816754.835 * [misc]taylor: Taking taylor expansion of n in n 1545816754.835 * [misc]backup-simplify: Simplify 0 into 0 1545816754.835 * [misc]backup-simplify: Simplify 1 into 1 1545816754.836 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.836 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.836 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.836 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.836 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816754.837 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816754.837 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.838 * [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))) 1545816754.838 * [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)))) 1545816754.839 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of k in n 1545816754.839 * [misc]backup-simplify: Simplify k into k 1545816754.839 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816754.839 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816754.839 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.839 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.839 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of k in n 1545816754.839 * [misc]backup-simplify: Simplify k into k 1545816754.839 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.839 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of 2 in n 1545816754.839 * [misc]backup-simplify: Simplify 2 into 2 1545816754.839 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.839 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.839 * [misc]backup-simplify: Simplify PI into PI 1545816754.839 * [misc]taylor: Taking taylor expansion of n in n 1545816754.839 * [misc]backup-simplify: Simplify 0 into 0 1545816754.840 * [misc]backup-simplify: Simplify 1 into 1 1545816754.840 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.840 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.841 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.841 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.841 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816754.841 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816754.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.842 * [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))) 1545816754.843 * [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)))) 1545816754.844 * [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)) 1545816754.844 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of k in k 1545816754.844 * [misc]backup-simplify: Simplify 0 into 0 1545816754.844 * [misc]backup-simplify: Simplify 1 into 1 1545816754.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.844 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816754.844 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816754.845 * [misc]taylor: Taking taylor expansion of 2 in k 1545816754.845 * [misc]backup-simplify: Simplify 2 into 2 1545816754.845 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.845 * [misc]backup-simplify: Simplify PI into PI 1545816754.845 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816754.845 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816754.845 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.845 * [misc]taylor: Taking taylor expansion of n in k 1545816754.846 * [misc]backup-simplify: Simplify n into n 1545816754.846 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.846 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.846 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816754.846 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816754.846 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816754.847 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545816754.847 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545816754.848 * [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)))) 1545816754.848 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816754.848 * [misc]taylor: Taking taylor expansion of k in k 1545816754.848 * [misc]backup-simplify: Simplify 0 into 0 1545816754.848 * [misc]backup-simplify: Simplify 1 into 1 1545816754.848 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.849 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816754.849 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1545816754.849 * [misc]backup-simplify: Simplify 0 into 0 1545816754.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.851 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816754.853 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816754.854 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.854 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816754.854 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.854 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.856 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545816754.857 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.858 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545816754.858 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.858 * [misc]backup-simplify: Simplify 0 into 0 1545816754.858 * [misc]backup-simplify: Simplify 0 into 0 1545816754.859 * [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)))))) 1545816754.860 * [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)))))) 1545816754.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.863 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.868 * [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 1545816754.868 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.868 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816754.868 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.869 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.869 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.870 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545816754.872 * [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 1545816754.872 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545816754.873 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545816754.873 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.873 * [misc]backup-simplify: Simplify 0 into 0 1545816754.873 * [misc]backup-simplify: Simplify 0 into 0 1545816754.873 * [misc]backup-simplify: Simplify 0 into 0 1545816754.874 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816754.874 * [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)))))) 1545816754.875 * [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)))))) 1545816754.876 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.877 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816754.881 * [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 1545816754.881 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.881 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816754.882 * [misc]backup-simplify: Simplify (- 0) into 0 1545816754.882 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.882 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816754.883 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545816754.885 * [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 1545816754.885 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545816754.886 * [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 1545816754.886 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.886 * [misc]backup-simplify: Simplify 0 into 0 1545816754.886 * [misc]backup-simplify: Simplify 0 into 0 1545816754.886 * [misc]backup-simplify: Simplify 0 into 0 1545816754.886 * [misc]backup-simplify: Simplify 0 into 0 1545816754.886 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816754.887 * [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)))))) 1545816754.887 * [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)))))) 1545816754.889 * [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)))))))) 1545816754.889 * [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))) 1545816754.889 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545816754.889 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.889 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.889 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.889 * [misc]taylor: Taking taylor expansion of k in k 1545816754.889 * [misc]backup-simplify: Simplify 0 into 0 1545816754.889 * [misc]backup-simplify: Simplify 1 into 1 1545816754.890 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.890 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.890 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.890 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816754.890 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816754.890 * [misc]taylor: Taking taylor expansion of -2 in k 1545816754.890 * [misc]backup-simplify: Simplify -2 into -2 1545816754.890 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816754.890 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.890 * [misc]backup-simplify: Simplify PI into PI 1545816754.890 * [misc]taylor: Taking taylor expansion of n in k 1545816754.890 * [misc]backup-simplify: Simplify n into n 1545816754.890 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816754.890 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816754.890 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816754.890 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.890 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.890 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816754.890 * [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))) 1545816754.890 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816754.890 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816754.890 * [misc]taylor: Taking taylor expansion of -1 in k 1545816754.890 * [misc]backup-simplify: Simplify -1 into -1 1545816754.890 * [misc]taylor: Taking taylor expansion of k in k 1545816754.890 * [misc]backup-simplify: Simplify 0 into 0 1545816754.890 * [misc]backup-simplify: Simplify 1 into 1 1545816754.890 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816754.891 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.891 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816754.891 * [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)))) 1545816754.891 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of k in n 1545816754.891 * [misc]backup-simplify: Simplify k into k 1545816754.891 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.891 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.891 * [misc]backup-simplify: Simplify -2 into -2 1545816754.891 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.891 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.891 * [misc]backup-simplify: Simplify PI into PI 1545816754.891 * [misc]taylor: Taking taylor expansion of n in n 1545816754.891 * [misc]backup-simplify: Simplify 0 into 0 1545816754.892 * [misc]backup-simplify: Simplify 1 into 1 1545816754.892 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.892 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.892 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.892 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.892 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816754.893 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.893 * [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))) 1545816754.894 * [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)))) 1545816754.894 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816754.894 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816754.894 * [misc]taylor: Taking taylor expansion of -1 in n 1545816754.894 * [misc]backup-simplify: Simplify -1 into -1 1545816754.894 * [misc]taylor: Taking taylor expansion of k in n 1545816754.894 * [misc]backup-simplify: Simplify k into k 1545816754.894 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816754.894 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816754.895 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816754.895 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816754.895 * [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))) 1545816754.895 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.895 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of k in n 1545816754.895 * [misc]backup-simplify: Simplify k into k 1545816754.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816754.895 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816754.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.895 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of -2 in n 1545816754.895 * [misc]backup-simplify: Simplify -2 into -2 1545816754.895 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816754.895 * [misc]taylor: Taking taylor expansion of PI in n 1545816754.895 * [misc]backup-simplify: Simplify PI into PI 1545816754.895 * [misc]taylor: Taking taylor expansion of n in n 1545816754.895 * [misc]backup-simplify: Simplify 0 into 0 1545816754.895 * [misc]backup-simplify: Simplify 1 into 1 1545816754.896 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816754.896 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.896 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.896 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816754.896 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816754.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.897 * [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))) 1545816754.898 * [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)))) 1545816754.898 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816754.898 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816754.898 * [misc]taylor: Taking taylor expansion of -1 in n 1545816754.898 * [misc]backup-simplify: Simplify -1 into -1 1545816754.898 * [misc]taylor: Taking taylor expansion of k in n 1545816754.898 * [misc]backup-simplify: Simplify k into k 1545816754.898 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816754.898 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816754.898 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816754.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816754.898 * [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))) 1545816754.898 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1545816754.898 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545816754.898 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545816754.898 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816754.898 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816754.898 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816754.899 * [misc]taylor: Taking taylor expansion of k in k 1545816754.899 * [misc]backup-simplify: Simplify 0 into 0 1545816754.899 * [misc]backup-simplify: Simplify 1 into 1 1545816754.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816754.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816754.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816754.899 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545816754.899 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545816754.899 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545816754.899 * [misc]taylor: Taking taylor expansion of -2 in k 1545816754.899 * [misc]backup-simplify: Simplify -2 into -2 1545816754.899 * [misc]taylor: Taking taylor expansion of PI in k 1545816754.899 * [misc]backup-simplify: Simplify PI into PI 1545816754.899 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816754.899 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816754.899 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816754.899 * [misc]taylor: Taking taylor expansion of n in k 1545816754.899 * [misc]backup-simplify: Simplify n into n 1545816754.899 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816754.899 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816754.900 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816754.900 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816754.900 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545816754.900 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545816754.901 * [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)))) 1545816754.901 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816754.901 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816754.901 * [misc]taylor: Taking taylor expansion of -1 in k 1545816754.901 * [misc]backup-simplify: Simplify -1 into -1 1545816754.901 * [misc]taylor: Taking taylor expansion of k in k 1545816754.901 * [misc]backup-simplify: Simplify 0 into 0 1545816754.901 * [misc]backup-simplify: Simplify 1 into 1 1545816754.901 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816754.901 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816754.901 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816754.902 * [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))))) 1545816754.902 * [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))))) 1545816754.903 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816754.903 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816754.906 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545816754.906 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816754.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816754.906 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.907 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545816754.909 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816754.910 * [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 1545816754.910 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.910 * [misc]backup-simplify: Simplify 0 into 0 1545816754.910 * [misc]backup-simplify: Simplify 0 into 0 1545816754.910 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816754.911 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816754.912 * [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)))))) 1545816754.913 * [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)))))) 1545816754.914 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.915 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816754.919 * [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 1545816754.920 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816754.920 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816754.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816754.921 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545816754.924 * [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 1545816754.924 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816754.925 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545816754.926 * [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 1545816754.926 * [misc]taylor: Taking taylor expansion of 0 in k 1545816754.926 * [misc]backup-simplify: Simplify 0 into 0 1545816754.926 * [misc]backup-simplify: Simplify 0 into 0 1545816754.926 * [misc]backup-simplify: Simplify 0 into 0 1545816754.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816754.927 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816754.929 * [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)))))) 1545816754.930 * [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)))))) 1545816754.933 * [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))))))))))) 1545816754.933 * * * [misc]progress: simplifying candidates 1545816754.933 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1545816754.934 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545816754.934 * * [misc]simplify: iters left: 6 (11 enodes) 1545816754.938 * * [misc]simplify: iters left: 5 (21 enodes) 1545816754.945 * * [misc]simplify: iters left: 4 (47 enodes) 1545816754.961 * * [misc]simplify: iters left: 3 (108 enodes) 1545816755.014 * * [misc]simplify: iters left: 2 (309 enodes) 1545816755.281 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545816755.281 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1545816755.281 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1545816755.281 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1545816755.281 * [enter]simplify: Simplifying (* PI (* n 2)) 1545816755.282 * * [misc]simplify: iters left: 4 (5 enodes) 1545816755.282 * * [misc]simplify: iters left: 3 (9 enodes) 1545816755.284 * * [misc]simplify: iters left: 2 (15 enodes) 1545816755.285 * * [misc]simplify: iters left: 1 (17 enodes) 1545816755.287 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545816755.287 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1545816755.287 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1545816755.288 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545816755.288 * * [misc]simplify: iters left: 5 (8 enodes) 1545816755.289 * * [misc]simplify: iters left: 4 (12 enodes) 1545816755.290 * * [misc]simplify: iters left: 3 (18 enodes) 1545816755.293 * * [misc]simplify: iters left: 2 (20 enodes) 1545816755.295 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545816755.295 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1545816755.295 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1545816755.295 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816755.295 * * [misc]simplify: iters left: 5 (6 enodes) 1545816755.296 * * [misc]simplify: iters left: 4 (8 enodes) 1545816755.297 * * [misc]simplify: iters left: 3 (11 enodes) 1545816755.298 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816755.298 * [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))) 1545816755.299 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1545816755.299 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816755.299 * * [misc]simplify: iters left: 5 (6 enodes) 1545816755.300 * * [misc]simplify: iters left: 4 (8 enodes) 1545816755.301 * * [misc]simplify: iters left: 3 (11 enodes) 1545816755.302 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816755.302 * [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))) 1545816755.302 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1545816755.302 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816755.302 * * [misc]simplify: iters left: 4 (5 enodes) 1545816755.303 * * [misc]simplify: iters left: 3 (7 enodes) 1545816755.304 * * [misc]simplify: iters left: 2 (10 enodes) 1545816755.305 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816755.305 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1545816755.305 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1545816755.305 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816755.305 * * [misc]simplify: iters left: 5 (9 enodes) 1545816755.307 * * [misc]simplify: iters left: 4 (15 enodes) 1545816755.309 * * [misc]simplify: iters left: 3 (21 enodes) 1545816755.311 * * [misc]simplify: iters left: 2 (22 enodes) 1545816755.316 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816755.316 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545816755.316 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1545816755.317 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816755.317 * * [misc]simplify: iters left: 5 (9 enodes) 1545816755.320 * * [misc]simplify: iters left: 4 (15 enodes) 1545816755.324 * * [misc]simplify: iters left: 3 (21 enodes) 1545816755.329 * * [misc]simplify: iters left: 2 (22 enodes) 1545816755.334 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816755.334 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1545816755.334 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1545816755.335 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545816755.335 * * [misc]simplify: iters left: 5 (7 enodes) 1545816755.337 * * [misc]simplify: iters left: 4 (9 enodes) 1545816755.339 * * [misc]simplify: iters left: 3 (12 enodes) 1545816755.342 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545816755.342 * [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))) 1545816755.342 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1545816755.342 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1545816755.342 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1545816755.343 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1545816755.345 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1545816755.345 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1545816755.345 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1545816755.346 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1545816755.346 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816755.346 * * [misc]simplify: iters left: 6 (14 enodes) 1545816755.351 * * [misc]simplify: iters left: 5 (26 enodes) 1545816755.359 * * [misc]simplify: iters left: 4 (53 enodes) 1545816755.379 * * [misc]simplify: iters left: 3 (137 enodes) 1545816755.425 * * [misc]simplify: iters left: 2 (467 enodes) 1545816755.921 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545816755.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545816755.921 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1545816755.921 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816755.922 * * [misc]simplify: iters left: 6 (14 enodes) 1545816755.926 * * [misc]simplify: iters left: 5 (26 enodes) 1545816755.935 * * [misc]simplify: iters left: 4 (53 enodes) 1545816755.955 * * [misc]simplify: iters left: 3 (137 enodes) 1545816756.015 * * [misc]simplify: iters left: 2 (467 enodes) 1545816756.486 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1545816756.486 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1545816756.486 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1545816756.487 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545816756.487 * * [misc]simplify: iters left: 6 (14 enodes) 1545816756.489 * * [misc]simplify: iters left: 5 (24 enodes) 1545816756.493 * * [misc]simplify: iters left: 4 (42 enodes) 1545816756.499 * * [misc]simplify: iters left: 3 (71 enodes) 1545816756.523 * * [misc]simplify: iters left: 2 (208 enodes) 1545816756.739 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816756.739 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816756.739 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1545816756.739 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1545816756.739 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1545816756.739 * [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))) 1545816756.739 * * [misc]simplify: iters left: 6 (16 enodes) 1545816756.744 * * [misc]simplify: iters left: 5 (31 enodes) 1545816756.749 * * [misc]simplify: iters left: 4 (62 enodes) 1545816756.767 * * [misc]simplify: iters left: 3 (99 enodes) 1545816756.798 * * [misc]simplify: iters left: 2 (130 enodes) 1545816756.835 * * [misc]simplify: iters left: 1 (140 enodes) 1545816756.870 * [exit]simplify: Simplified to (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545816756.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (* k (sqrt k))) (* (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))))) 1545816756.870 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1545816756.870 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1545816756.870 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1545816756.870 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1545816756.871 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1545816756.871 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816756.871 * * [misc]simplify: iters left: 6 (12 enodes) 1545816756.875 * * [misc]simplify: iters left: 5 (19 enodes) 1545816756.881 * * [misc]simplify: iters left: 4 (25 enodes) 1545816756.885 * * [misc]simplify: iters left: 3 (26 enodes) 1545816756.888 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816756.888 * [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))))) 1545816756.889 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545816756.889 * * [misc]simplify: iters left: 6 (12 enodes) 1545816756.890 * * [misc]simplify: iters left: 5 (18 enodes) 1545816756.893 * * [misc]simplify: iters left: 4 (24 enodes) 1545816756.896 * * [misc]simplify: iters left: 3 (25 enodes) 1545816756.899 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545816756.899 * [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))))) 1545816756.899 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1545816756.899 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545816756.900 * * [misc]simplify: iters left: 6 (11 enodes) 1545816756.901 * * [misc]simplify: iters left: 5 (16 enodes) 1545816756.903 * * [misc]simplify: iters left: 4 (22 enodes) 1545816756.906 * * [misc]simplify: iters left: 3 (24 enodes) 1545816756.909 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545816756.909 * [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))))) 1545816756.910 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545816756.910 * * [misc]simplify: iters left: 6 (12 enodes) 1545816756.912 * * [misc]simplify: iters left: 5 (18 enodes) 1545816756.918 * * [misc]simplify: iters left: 4 (24 enodes) 1545816756.925 * * [misc]simplify: iters left: 3 (25 enodes) 1545816756.931 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545816756.931 * [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))))) 1545816756.931 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1545816756.931 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545816756.931 * * [misc]simplify: iters left: 6 (9 enodes) 1545816756.934 * * [misc]simplify: iters left: 5 (16 enodes) 1545816756.939 * * [misc]simplify: iters left: 4 (24 enodes) 1545816756.945 * * [misc]simplify: iters left: 3 (26 enodes) 1545816756.950 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545816756.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545816756.951 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545816756.951 * * [misc]simplify: iters left: 6 (11 enodes) 1545816756.954 * * [misc]simplify: iters left: 5 (17 enodes) 1545816756.959 * * [misc]simplify: iters left: 4 (23 enodes) 1545816756.965 * * [misc]simplify: iters left: 3 (24 enodes) 1545816756.971 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545816756.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545816756.972 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1545816756.972 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816756.972 * * [misc]simplify: iters left: 6 (12 enodes) 1545816756.976 * * [misc]simplify: iters left: 5 (19 enodes) 1545816756.981 * * [misc]simplify: iters left: 4 (25 enodes) 1545816756.988 * * [misc]simplify: iters left: 3 (26 enodes) 1545816756.995 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816756.995 * [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))))) 1545816756.995 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1545816756.996 * * [misc]simplify: iters left: 6 (12 enodes) 1545816756.999 * * [misc]simplify: iters left: 5 (18 enodes) 1545816757.005 * * [misc]simplify: iters left: 4 (24 enodes) 1545816757.011 * * [misc]simplify: iters left: 3 (25 enodes) 1545816757.018 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1545816757.018 * [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))))) 1545816757.018 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1545816757.018 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1545816757.018 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.022 * * [misc]simplify: iters left: 5 (16 enodes) 1545816757.026 * * [misc]simplify: iters left: 4 (22 enodes) 1545816757.032 * * [misc]simplify: iters left: 3 (24 enodes) 1545816757.038 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1545816757.038 * [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))))) 1545816757.038 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1545816757.038 * * [misc]simplify: iters left: 6 (12 enodes) 1545816757.042 * * [misc]simplify: iters left: 5 (18 enodes) 1545816757.047 * * [misc]simplify: iters left: 4 (24 enodes) 1545816757.054 * * [misc]simplify: iters left: 3 (25 enodes) 1545816757.060 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1545816757.060 * [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))))) 1545816757.060 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1545816757.060 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1545816757.060 * * [misc]simplify: iters left: 6 (9 enodes) 1545816757.063 * * [misc]simplify: iters left: 5 (16 enodes) 1545816757.069 * * [misc]simplify: iters left: 4 (24 enodes) 1545816757.074 * * [misc]simplify: iters left: 3 (26 enodes) 1545816757.080 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1545816757.080 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1545816757.080 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1545816757.081 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.084 * * [misc]simplify: iters left: 5 (17 enodes) 1545816757.089 * * [misc]simplify: iters left: 4 (23 enodes) 1545816757.095 * * [misc]simplify: iters left: 3 (24 enodes) 1545816757.101 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1545816757.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1545816757.101 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1545816757.101 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816757.101 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.104 * * [misc]simplify: iters left: 5 (15 enodes) 1545816757.108 * * [misc]simplify: iters left: 4 (18 enodes) 1545816757.112 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816757.113 * [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))))) 1545816757.113 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816757.113 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.116 * * [misc]simplify: iters left: 5 (14 enodes) 1545816757.120 * * [misc]simplify: iters left: 4 (17 enodes) 1545816757.124 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816757.124 * [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))))) 1545816757.124 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1545816757.124 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.124 * * [misc]simplify: iters left: 6 (10 enodes) 1545816757.127 * * [misc]simplify: iters left: 5 (12 enodes) 1545816757.130 * * [misc]simplify: iters left: 4 (15 enodes) 1545816757.134 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.134 * [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))))) 1545816757.135 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.135 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.138 * * [misc]simplify: iters left: 5 (14 enodes) 1545816757.142 * * [misc]simplify: iters left: 4 (17 enodes) 1545816757.147 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.147 * [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))))) 1545816757.147 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1545816757.147 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1545816757.147 * * [misc]simplify: iters left: 6 (9 enodes) 1545816757.150 * * [misc]simplify: iters left: 5 (13 enodes) 1545816757.155 * * [misc]simplify: iters left: 4 (18 enodes) 1545816757.159 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545816757.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816757.160 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816757.160 * * [misc]simplify: iters left: 6 (10 enodes) 1545816757.163 * * [misc]simplify: iters left: 5 (13 enodes) 1545816757.166 * * [misc]simplify: iters left: 4 (16 enodes) 1545816757.171 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816757.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816757.171 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1545816757.172 * [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)))) 1545816757.172 * * [misc]simplify: iters left: 6 (16 enodes) 1545816757.177 * * [misc]simplify: iters left: 5 (28 enodes) 1545816757.185 * * [misc]simplify: iters left: 4 (46 enodes) 1545816757.198 * * [misc]simplify: iters left: 3 (50 enodes) 1545816757.210 * * [misc]simplify: iters left: 2 (53 enodes) 1545816757.223 * [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)))) 1545816757.224 * [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))))) 1545816757.224 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816757.224 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.228 * * [misc]simplify: iters left: 5 (20 enodes) 1545816757.234 * * [misc]simplify: iters left: 4 (29 enodes) 1545816757.242 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.249 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816757.249 * [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))))) 1545816757.249 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1545816757.249 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545816757.250 * * [misc]simplify: iters left: 6 (15 enodes) 1545816757.254 * * [misc]simplify: iters left: 5 (23 enodes) 1545816757.261 * * [misc]simplify: iters left: 4 (34 enodes) 1545816757.270 * * [misc]simplify: iters left: 3 (37 enodes) 1545816757.280 * [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)))))) 1545816757.280 * [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))))) 1545816757.280 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.280 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.284 * * [misc]simplify: iters left: 5 (20 enodes) 1545816757.290 * * [misc]simplify: iters left: 4 (29 enodes) 1545816757.298 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.306 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.307 * [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))))) 1545816757.307 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1545816757.307 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1545816757.307 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.311 * * [misc]simplify: iters left: 5 (24 enodes) 1545816757.319 * * [misc]simplify: iters left: 4 (39 enodes) 1545816757.329 * * [misc]simplify: iters left: 3 (40 enodes) 1545816757.337 * * [misc]simplify: iters left: 2 (41 enodes) 1545816757.346 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1545816757.346 * [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)))) 1545816757.346 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545816757.346 * * [misc]simplify: iters left: 6 (13 enodes) 1545816757.350 * * [misc]simplify: iters left: 5 (19 enodes) 1545816757.356 * * [misc]simplify: iters left: 4 (28 enodes) 1545816757.363 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.371 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545816757.371 * [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)))) 1545816757.371 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1545816757.372 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816757.372 * * [misc]simplify: iters left: 6 (15 enodes) 1545816757.376 * * [misc]simplify: iters left: 5 (23 enodes) 1545816757.384 * * [misc]simplify: iters left: 4 (32 enodes) 1545816757.392 * * [misc]simplify: iters left: 3 (34 enodes) 1545816757.398 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816757.398 * [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))))) 1545816757.398 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816757.398 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.400 * * [misc]simplify: iters left: 5 (20 enodes) 1545816757.403 * * [misc]simplify: iters left: 4 (29 enodes) 1545816757.406 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.410 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816757.410 * [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))))) 1545816757.410 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1545816757.410 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.410 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.412 * * [misc]simplify: iters left: 5 (20 enodes) 1545816757.414 * * [misc]simplify: iters left: 4 (29 enodes) 1545816757.418 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.421 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.422 * [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))))) 1545816757.422 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.422 * * [misc]simplify: iters left: 6 (14 enodes) 1545816757.427 * * [misc]simplify: iters left: 5 (20 enodes) 1545816757.432 * * [misc]simplify: iters left: 4 (29 enodes) 1545816757.437 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.441 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816757.441 * [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))))) 1545816757.441 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1545816757.441 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1545816757.441 * * [misc]simplify: iters left: 6 (13 enodes) 1545816757.443 * * [misc]simplify: iters left: 5 (21 enodes) 1545816757.446 * * [misc]simplify: iters left: 4 (32 enodes) 1545816757.450 * * [misc]simplify: iters left: 3 (33 enodes) 1545816757.453 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1545816757.453 * [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)))) 1545816757.453 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1545816757.454 * * [misc]simplify: iters left: 6 (13 enodes) 1545816757.456 * * [misc]simplify: iters left: 5 (19 enodes) 1545816757.461 * * [misc]simplify: iters left: 4 (28 enodes) 1545816757.468 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.475 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1545816757.475 * [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)))) 1545816757.475 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1545816757.476 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816757.476 * * [misc]simplify: iters left: 6 (6 enodes) 1545816757.478 * * [misc]simplify: iters left: 5 (10 enodes) 1545816757.481 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545816757.481 * [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))))) 1545816757.481 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816757.481 * * [misc]simplify: iters left: 6 (13 enodes) 1545816757.485 * * [misc]simplify: iters left: 5 (19 enodes) 1545816757.491 * * [misc]simplify: iters left: 4 (28 enodes) 1545816757.498 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.506 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816757.506 * [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))))) 1545816757.506 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1545816757.506 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545816757.506 * * [misc]simplify: iters left: 4 (5 enodes) 1545816757.508 * * [misc]simplify: iters left: 3 (7 enodes) 1545816757.509 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545816757.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545816757.510 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.510 * * [misc]simplify: iters left: 6 (13 enodes) 1545816757.512 * * [misc]simplify: iters left: 5 (19 enodes) 1545816757.515 * * [misc]simplify: iters left: 4 (28 enodes) 1545816757.518 * * [misc]simplify: iters left: 3 (30 enodes) 1545816757.522 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816757.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1545816757.522 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1545816757.522 * [enter]simplify: Simplifying (/ 1 1) 1545816757.522 * * [misc]simplify: iters left: 2 (2 enodes) 1545816757.522 * * [misc]simplify: iters left: 1 (4 enodes) 1545816757.523 * [exit]simplify: Simplified to 1 1545816757.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1545816757.523 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1545816757.523 * * [misc]simplify: iters left: 6 (12 enodes) 1545816757.525 * * [misc]simplify: iters left: 5 (18 enodes) 1545816757.527 * * [misc]simplify: iters left: 4 (27 enodes) 1545816757.531 * * [misc]simplify: iters left: 3 (29 enodes) 1545816757.535 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1545816757.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1545816757.535 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1545816757.535 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1545816757.535 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1545816757.535 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1545816757.535 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545816757.535 * * [misc]simplify: iters left: 2 (3 enodes) 1545816757.536 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545816757.536 * [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)))) 1545816757.536 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1545816757.536 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545816757.536 * * [misc]simplify: iters left: 2 (3 enodes) 1545816757.536 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545816757.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1545816757.536 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1545816757.537 * [enter]simplify: Simplifying (sqrt k) 1545816757.537 * * [misc]simplify: iters left: 1 (2 enodes) 1545816757.537 * [exit]simplify: Simplified to (sqrt k) 1545816757.537 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1545816757.537 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1545816757.537 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545816757.537 * * [misc]simplify: iters left: 5 (7 enodes) 1545816757.538 * * [misc]simplify: iters left: 4 (12 enodes) 1545816757.540 * * [misc]simplify: iters left: 3 (18 enodes) 1545816757.542 * * [misc]simplify: iters left: 2 (20 enodes) 1545816757.544 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545816757.544 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545816757.544 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1545816757.545 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545816757.545 * * [misc]simplify: iters left: 5 (7 enodes) 1545816757.546 * * [misc]simplify: iters left: 4 (12 enodes) 1545816757.547 * * [misc]simplify: iters left: 3 (18 enodes) 1545816757.550 * * [misc]simplify: iters left: 2 (20 enodes) 1545816757.552 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545816757.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1545816757.552 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1545816757.552 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545816757.552 * * [misc]simplify: iters left: 5 (7 enodes) 1545816757.553 * * [misc]simplify: iters left: 4 (9 enodes) 1545816757.554 * * [misc]simplify: iters left: 3 (12 enodes) 1545816757.556 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545816757.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545816757.556 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1545816757.556 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816757.556 * * [misc]simplify: iters left: 6 (12 enodes) 1545816757.558 * * [misc]simplify: iters left: 5 (18 enodes) 1545816757.561 * * [misc]simplify: iters left: 4 (27 enodes) 1545816757.564 * * [misc]simplify: iters left: 3 (29 enodes) 1545816757.568 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545816757.568 * [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))))))) 1545816757.568 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1545816757.568 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816757.568 * * [misc]simplify: iters left: 6 (11 enodes) 1545816757.570 * * [misc]simplify: iters left: 5 (17 enodes) 1545816757.573 * * [misc]simplify: iters left: 4 (26 enodes) 1545816757.579 * * [misc]simplify: iters left: 3 (27 enodes) 1545816757.585 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545816757.585 * [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))))))) 1545816757.586 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1545816757.586 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1545816757.586 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1545816757.586 * * [misc]simplify: iters left: 5 (7 enodes) 1545816757.588 * * [misc]simplify: iters left: 4 (12 enodes) 1545816757.591 * * [misc]simplify: iters left: 3 (18 enodes) 1545816757.596 * * [misc]simplify: iters left: 2 (20 enodes) 1545816757.600 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1545816757.600 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1545816757.600 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1545816757.601 * [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))))) 1545816757.601 * * [misc]simplify: iters left: 6 (37 enodes) 1545816757.616 * * [misc]simplify: iters left: 5 (105 enodes) 1545816757.652 * * [misc]simplify: iters left: 4 (339 enodes) 1545816757.847 * [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)))) (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) 1/8)) (* (* (log (* PI 2)) 1/4) (* (* k k) (log n)))))) 1545816757.847 * [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)))) (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) 1/8)) (* (* (log (* PI 2)) 1/4) (* (* k k) (log n)))))) (sqrt k))) 1545816757.847 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1545816757.847 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545816757.847 * * [misc]simplify: iters left: 6 (15 enodes) 1545816757.853 * * [misc]simplify: iters left: 5 (33 enodes) 1545816757.858 * * [misc]simplify: iters left: 4 (64 enodes) 1545816757.870 * * [misc]simplify: iters left: 3 (171 enodes) 1545816757.961 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545816757.961 * [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))) 1545816757.961 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1545816757.961 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545816757.961 * * [misc]simplify: iters left: 6 (15 enodes) 1545816757.965 * * [misc]simplify: iters left: 5 (30 enodes) 1545816757.975 * * [misc]simplify: iters left: 4 (65 enodes) 1545816758.002 * * [misc]simplify: iters left: 3 (200 enodes) 1545816758.111 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545816758.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1545816758.111 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1545816758.111 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816758.111 * * [misc]simplify: iters left: 4 (5 enodes) 1545816758.113 * * [misc]simplify: iters left: 3 (9 enodes) 1545816758.115 * * [misc]simplify: iters left: 2 (15 enodes) 1545816758.119 * * [misc]simplify: iters left: 1 (17 enodes) 1545816758.123 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816758.123 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816758.123 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1545816758.124 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816758.124 * * [misc]simplify: iters left: 4 (5 enodes) 1545816758.125 * * [misc]simplify: iters left: 3 (9 enodes) 1545816758.128 * * [misc]simplify: iters left: 2 (15 enodes) 1545816758.132 * * [misc]simplify: iters left: 1 (17 enodes) 1545816758.136 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816758.136 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816758.136 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1545816758.136 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816758.136 * * [misc]simplify: iters left: 4 (5 enodes) 1545816758.138 * * [misc]simplify: iters left: 3 (9 enodes) 1545816758.144 * * [misc]simplify: iters left: 2 (15 enodes) 1545816758.148 * * [misc]simplify: iters left: 1 (17 enodes) 1545816758.152 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816758.152 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816758.152 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1545816758.153 * [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)))))))))))))))))))))) 1545816758.153 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816758.153 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1545816758.153 * [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)))))))) 1545816758.153 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816758.153 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1545816758.154 * [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))))))))))) 1545816758.154 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816758.154 * * * [misc]progress: adding candidates to table 1545816759.140 * * [misc]progress: iteration 2 / 4 1545816759.140 * * * [misc]progress: picking best candidate 1545816759.231 * * * * [misc]pick: Picked # 1545816759.231 * * * [misc]progress: localizing error 1545816759.247 * * * [misc]progress: generating rewritten candidates 1545816759.247 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1545816759.251 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1545816759.253 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545816759.261 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545816759.267 * * * [misc]progress: generating series expansions 1545816759.267 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1545816759.268 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1545816759.268 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1545816759.268 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.268 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.268 * [misc]taylor: Taking taylor expansion of k in k 1545816759.268 * [misc]backup-simplify: Simplify 0 into 0 1545816759.268 * [misc]backup-simplify: Simplify 1 into 1 1545816759.268 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.268 * [misc]backup-simplify: Simplify 2 into 2 1545816759.268 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816759.268 * [misc]taylor: Taking taylor expansion of n in k 1545816759.268 * [misc]backup-simplify: Simplify n into n 1545816759.268 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.268 * [misc]backup-simplify: Simplify PI into PI 1545816759.268 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816759.268 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816759.268 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816759.269 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.269 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.269 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.269 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816759.269 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816759.269 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816759.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.270 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.270 * [misc]taylor: Taking taylor expansion of k in n 1545816759.270 * [misc]backup-simplify: Simplify k into k 1545816759.270 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.270 * [misc]backup-simplify: Simplify 2 into 2 1545816759.270 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.270 * [misc]taylor: Taking taylor expansion of n in n 1545816759.270 * [misc]backup-simplify: Simplify 0 into 0 1545816759.270 * [misc]backup-simplify: Simplify 1 into 1 1545816759.270 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.270 * [misc]backup-simplify: Simplify PI into PI 1545816759.270 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.271 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.271 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.272 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.272 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.272 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816759.272 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816759.272 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816759.273 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.274 * [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)))) 1545816759.274 * [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))))) 1545816759.274 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816759.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816759.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816759.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816759.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.274 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816759.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.275 * [misc]taylor: Taking taylor expansion of k in n 1545816759.275 * [misc]backup-simplify: Simplify k into k 1545816759.275 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.275 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.275 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.275 * [misc]backup-simplify: Simplify 2 into 2 1545816759.275 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.275 * [misc]taylor: Taking taylor expansion of n in n 1545816759.275 * [misc]backup-simplify: Simplify 0 into 0 1545816759.275 * [misc]backup-simplify: Simplify 1 into 1 1545816759.275 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.275 * [misc]backup-simplify: Simplify PI into PI 1545816759.275 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.275 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.276 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.277 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.277 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.277 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816759.277 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816759.277 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816759.278 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.279 * [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)))) 1545816759.279 * [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))))) 1545816759.279 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1545816759.279 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1545816759.279 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.279 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.279 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.280 * [misc]taylor: Taking taylor expansion of k in k 1545816759.280 * [misc]backup-simplify: Simplify 0 into 0 1545816759.280 * [misc]backup-simplify: Simplify 1 into 1 1545816759.280 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1545816759.280 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816759.280 * [misc]taylor: Taking taylor expansion of n in k 1545816759.280 * [misc]backup-simplify: Simplify n into n 1545816759.280 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816759.280 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816759.280 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816759.280 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.280 * [misc]backup-simplify: Simplify 2 into 2 1545816759.280 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.280 * [misc]backup-simplify: Simplify PI into PI 1545816759.280 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.281 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.281 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.281 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.281 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.282 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.282 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1545816759.283 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545816759.283 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1545816759.284 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.286 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816759.288 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816759.289 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.289 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.289 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.290 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545816759.292 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.292 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.292 * [misc]backup-simplify: Simplify 0 into 0 1545816759.292 * [misc]backup-simplify: Simplify 0 into 0 1545816759.293 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816759.294 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816759.296 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.297 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.297 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816759.297 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.297 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.298 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1545816759.300 * [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))))))) 1545816759.301 * [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))))))) 1545816759.303 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.304 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545816759.309 * [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 1545816759.309 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816759.310 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.310 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.310 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.311 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816759.313 * [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 1545816759.313 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.313 * [misc]backup-simplify: Simplify 0 into 0 1545816759.314 * [misc]backup-simplify: Simplify 0 into 0 1545816759.314 * [misc]backup-simplify: Simplify 0 into 0 1545816759.315 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816759.316 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.321 * [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 1545816759.321 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.322 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816759.322 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.322 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1545816759.325 * [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))))) 1545816759.327 * [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))))) 1545816759.332 * [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))))) 1545816759.333 * [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)))) 1545816759.333 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545816759.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.333 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.333 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.333 * [misc]taylor: Taking taylor expansion of k in k 1545816759.333 * [misc]backup-simplify: Simplify 0 into 0 1545816759.333 * [misc]backup-simplify: Simplify 1 into 1 1545816759.333 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.333 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816759.334 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816759.334 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.334 * [misc]backup-simplify: Simplify 2 into 2 1545816759.334 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.334 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.334 * [misc]backup-simplify: Simplify PI into PI 1545816759.334 * [misc]taylor: Taking taylor expansion of n in k 1545816759.334 * [misc]backup-simplify: Simplify n into n 1545816759.334 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.334 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816759.334 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816759.334 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.334 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.334 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.335 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816759.335 * [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)))) 1545816759.335 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.335 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.335 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.335 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of k in n 1545816759.335 * [misc]backup-simplify: Simplify k into k 1545816759.335 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.335 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.335 * [misc]backup-simplify: Simplify 2 into 2 1545816759.335 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.335 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.335 * [misc]backup-simplify: Simplify PI into PI 1545816759.335 * [misc]taylor: Taking taylor expansion of n in n 1545816759.335 * [misc]backup-simplify: Simplify 0 into 0 1545816759.335 * [misc]backup-simplify: Simplify 1 into 1 1545816759.336 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.336 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.337 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.337 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.337 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.337 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.338 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.338 * [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))) 1545816759.339 * [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)))) 1545816759.339 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.339 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.339 * [misc]taylor: Taking taylor expansion of k in n 1545816759.339 * [misc]backup-simplify: Simplify k into k 1545816759.340 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.340 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.340 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.340 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.340 * [misc]backup-simplify: Simplify 2 into 2 1545816759.340 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.340 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.340 * [misc]backup-simplify: Simplify PI into PI 1545816759.340 * [misc]taylor: Taking taylor expansion of n in n 1545816759.340 * [misc]backup-simplify: Simplify 0 into 0 1545816759.340 * [misc]backup-simplify: Simplify 1 into 1 1545816759.340 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.340 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.341 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.341 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.341 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.341 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.342 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.343 * [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))) 1545816759.343 * [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)))) 1545816759.344 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.344 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.344 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of k in k 1545816759.344 * [misc]backup-simplify: Simplify 0 into 0 1545816759.344 * [misc]backup-simplify: Simplify 1 into 1 1545816759.344 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.344 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1545816759.344 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.344 * [misc]backup-simplify: Simplify 2 into 2 1545816759.344 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.344 * [misc]backup-simplify: Simplify PI into PI 1545816759.345 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.345 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.345 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816759.345 * [misc]taylor: Taking taylor expansion of n in k 1545816759.345 * [misc]backup-simplify: Simplify n into n 1545816759.345 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816759.345 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.346 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.346 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.346 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816759.346 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1545816759.347 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1545816759.348 * [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)))) 1545816759.348 * [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)))) 1545816759.349 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.350 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816759.352 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.352 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.352 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.353 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.353 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.353 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545816759.354 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.354 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.354 * [misc]backup-simplify: Simplify 0 into 0 1545816759.354 * [misc]backup-simplify: Simplify 0 into 0 1545816759.355 * [misc]backup-simplify: Simplify 0 into 0 1545816759.355 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.356 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.359 * [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 1545816759.359 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816759.359 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816759.359 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.359 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.360 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.360 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1545816759.362 * [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 1545816759.362 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.362 * [misc]backup-simplify: Simplify 0 into 0 1545816759.362 * [misc]backup-simplify: Simplify 0 into 0 1545816759.362 * [misc]backup-simplify: Simplify 0 into 0 1545816759.362 * [misc]backup-simplify: Simplify 0 into 0 1545816759.363 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.364 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.368 * [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 1545816759.369 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816759.369 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816759.369 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.370 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.370 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1545816759.373 * [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 1545816759.374 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.374 * [misc]backup-simplify: Simplify 0 into 0 1545816759.374 * [misc]backup-simplify: Simplify 0 into 0 1545816759.374 * [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))))) 1545816759.375 * [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)) 1545816759.375 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545816759.375 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of k in k 1545816759.375 * [misc]backup-simplify: Simplify 0 into 0 1545816759.375 * [misc]backup-simplify: Simplify 1 into 1 1545816759.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.375 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.375 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.375 * [misc]backup-simplify: Simplify -2 into -2 1545816759.375 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.375 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.375 * [misc]backup-simplify: Simplify PI into PI 1545816759.375 * [misc]taylor: Taking taylor expansion of n in k 1545816759.375 * [misc]backup-simplify: Simplify n into n 1545816759.376 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.376 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816759.376 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816759.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.376 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.376 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816759.376 * [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))) 1545816759.376 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.376 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of k in n 1545816759.377 * [misc]backup-simplify: Simplify k into k 1545816759.377 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.377 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.377 * [misc]backup-simplify: Simplify -2 into -2 1545816759.377 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.377 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.377 * [misc]backup-simplify: Simplify PI into PI 1545816759.377 * [misc]taylor: Taking taylor expansion of n in n 1545816759.377 * [misc]backup-simplify: Simplify 0 into 0 1545816759.377 * [misc]backup-simplify: Simplify 1 into 1 1545816759.378 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.378 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.378 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.378 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.378 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.379 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.380 * [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))) 1545816759.380 * [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)))) 1545816759.380 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of k in n 1545816759.381 * [misc]backup-simplify: Simplify k into k 1545816759.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.381 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.381 * [misc]backup-simplify: Simplify -2 into -2 1545816759.381 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.381 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.381 * [misc]backup-simplify: Simplify PI into PI 1545816759.381 * [misc]taylor: Taking taylor expansion of n in n 1545816759.381 * [misc]backup-simplify: Simplify 0 into 0 1545816759.381 * [misc]backup-simplify: Simplify 1 into 1 1545816759.381 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.382 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.382 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.382 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.384 * [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))) 1545816759.384 * [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)))) 1545816759.384 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1545816759.384 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1545816759.384 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of k in k 1545816759.385 * [misc]backup-simplify: Simplify 0 into 0 1545816759.385 * [misc]backup-simplify: Simplify 1 into 1 1545816759.385 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.385 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.385 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.385 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1545816759.385 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.385 * [misc]backup-simplify: Simplify -2 into -2 1545816759.385 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.385 * [misc]backup-simplify: Simplify PI into PI 1545816759.385 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.386 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.386 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816759.386 * [misc]taylor: Taking taylor expansion of n in k 1545816759.386 * [misc]backup-simplify: Simplify n into n 1545816759.386 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816759.386 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.386 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.386 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816759.387 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1545816759.388 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1545816759.389 * [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)))) 1545816759.389 * [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)))) 1545816759.391 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.391 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816759.394 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545816759.394 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.394 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.396 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1545816759.400 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.400 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.400 * [misc]backup-simplify: Simplify 0 into 0 1545816759.400 * [misc]backup-simplify: Simplify 0 into 0 1545816759.400 * [misc]backup-simplify: Simplify 0 into 0 1545816759.402 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.403 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.408 * [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 1545816759.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816759.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816759.409 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.410 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.410 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1545816759.413 * [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 1545816759.413 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.413 * [misc]backup-simplify: Simplify 0 into 0 1545816759.413 * [misc]backup-simplify: Simplify 0 into 0 1545816759.413 * [misc]backup-simplify: Simplify 0 into 0 1545816759.413 * [misc]backup-simplify: Simplify 0 into 0 1545816759.415 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.417 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.424 * [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 1545816759.425 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816759.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816759.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.426 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.427 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1545816759.430 * [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 1545816759.431 * [misc]taylor: Taking taylor expansion of 0 in k 1545816759.431 * [misc]backup-simplify: Simplify 0 into 0 1545816759.431 * [misc]backup-simplify: Simplify 0 into 0 1545816759.431 * [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))))) 1545816759.432 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1545816759.432 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1545816759.432 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1545816759.432 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.432 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.432 * [misc]backup-simplify: Simplify 2 into 2 1545816759.432 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.432 * [misc]taylor: Taking taylor expansion of n in n 1545816759.432 * [misc]backup-simplify: Simplify 0 into 0 1545816759.432 * [misc]backup-simplify: Simplify 1 into 1 1545816759.432 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.432 * [misc]backup-simplify: Simplify PI into PI 1545816759.432 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.432 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.432 * [misc]backup-simplify: Simplify 2 into 2 1545816759.432 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.432 * [misc]taylor: Taking taylor expansion of n in n 1545816759.432 * [misc]backup-simplify: Simplify 0 into 0 1545816759.432 * [misc]backup-simplify: Simplify 1 into 1 1545816759.432 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.432 * [misc]backup-simplify: Simplify PI into PI 1545816759.433 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.433 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.433 * [misc]backup-simplify: Simplify 0 into 0 1545816759.433 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.434 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.434 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.435 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.436 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816759.436 * [misc]backup-simplify: Simplify 0 into 0 1545816759.438 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1545816759.439 * [misc]backup-simplify: Simplify 0 into 0 1545816759.441 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816759.443 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1545816759.444 * [misc]backup-simplify: Simplify 0 into 0 1545816759.446 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816759.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1545816759.450 * [misc]backup-simplify: Simplify 0 into 0 1545816759.453 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816759.457 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1545816759.457 * [misc]backup-simplify: Simplify 0 into 0 1545816759.461 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1545816759.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1545816759.465 * [misc]backup-simplify: Simplify 0 into 0 1545816759.466 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1545816759.466 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1545816759.466 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1545816759.466 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.466 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.466 * [misc]backup-simplify: Simplify 2 into 2 1545816759.466 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.466 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.466 * [misc]backup-simplify: Simplify PI into PI 1545816759.466 * [misc]taylor: Taking taylor expansion of n in n 1545816759.466 * [misc]backup-simplify: Simplify 0 into 0 1545816759.466 * [misc]backup-simplify: Simplify 1 into 1 1545816759.466 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.466 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.466 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.466 * [misc]backup-simplify: Simplify 2 into 2 1545816759.466 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.466 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.466 * [misc]backup-simplify: Simplify PI into PI 1545816759.466 * [misc]taylor: Taking taylor expansion of n in n 1545816759.467 * [misc]backup-simplify: Simplify 0 into 0 1545816759.467 * [misc]backup-simplify: Simplify 1 into 1 1545816759.467 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.467 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.467 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.469 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816759.469 * [misc]backup-simplify: Simplify 0 into 0 1545816759.471 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.472 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.472 * [misc]backup-simplify: Simplify 0 into 0 1545816759.473 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.475 * [misc]backup-simplify: Simplify 0 into 0 1545816759.477 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.479 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816759.479 * [misc]backup-simplify: Simplify 0 into 0 1545816759.481 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.484 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816759.484 * [misc]backup-simplify: Simplify 0 into 0 1545816759.487 * [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 1545816759.490 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816759.490 * [misc]backup-simplify: Simplify 0 into 0 1545816759.491 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1545816759.491 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1545816759.491 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1545816759.491 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.491 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.491 * [misc]backup-simplify: Simplify -2 into -2 1545816759.491 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.491 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.491 * [misc]backup-simplify: Simplify PI into PI 1545816759.491 * [misc]taylor: Taking taylor expansion of n in n 1545816759.491 * [misc]backup-simplify: Simplify 0 into 0 1545816759.491 * [misc]backup-simplify: Simplify 1 into 1 1545816759.491 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.491 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.492 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.492 * [misc]backup-simplify: Simplify -2 into -2 1545816759.492 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.492 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.492 * [misc]backup-simplify: Simplify PI into PI 1545816759.492 * [misc]taylor: Taking taylor expansion of n in n 1545816759.492 * [misc]backup-simplify: Simplify 0 into 0 1545816759.492 * [misc]backup-simplify: Simplify 1 into 1 1545816759.492 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.492 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.493 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.494 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.494 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816759.494 * [misc]backup-simplify: Simplify 0 into 0 1545816759.496 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.497 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.497 * [misc]backup-simplify: Simplify 0 into 0 1545816759.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.500 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.500 * [misc]backup-simplify: Simplify 0 into 0 1545816759.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.504 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1545816759.504 * [misc]backup-simplify: Simplify 0 into 0 1545816759.507 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.509 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1545816759.510 * [misc]backup-simplify: Simplify 0 into 0 1545816759.512 * [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 1545816759.516 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1545816759.516 * [misc]backup-simplify: Simplify 0 into 0 1545816759.516 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1545816759.516 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545816759.516 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1545816759.516 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1545816759.516 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.517 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.517 * [misc]taylor: Taking taylor expansion of k in n 1545816759.517 * [misc]backup-simplify: Simplify k into k 1545816759.517 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.517 * [misc]backup-simplify: Simplify 2 into 2 1545816759.517 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.517 * [misc]taylor: Taking taylor expansion of n in n 1545816759.517 * [misc]backup-simplify: Simplify 0 into 0 1545816759.517 * [misc]backup-simplify: Simplify 1 into 1 1545816759.517 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.517 * [misc]backup-simplify: Simplify PI into PI 1545816759.518 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.518 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.518 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.519 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.520 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.520 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816759.520 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816759.520 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816759.521 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.521 * [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)))) 1545816759.522 * [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))))) 1545816759.522 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1545816759.522 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816759.523 * [misc]taylor: Taking taylor expansion of k in n 1545816759.523 * [misc]backup-simplify: Simplify k into k 1545816759.523 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816759.523 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816759.523 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.523 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.523 * [misc]taylor: Taking taylor expansion of k in k 1545816759.523 * [misc]backup-simplify: Simplify 0 into 0 1545816759.523 * [misc]backup-simplify: Simplify 1 into 1 1545816759.523 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.523 * [misc]backup-simplify: Simplify 2 into 2 1545816759.523 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816759.523 * [misc]taylor: Taking taylor expansion of n in k 1545816759.523 * [misc]backup-simplify: Simplify n into n 1545816759.523 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.523 * [misc]backup-simplify: Simplify PI into PI 1545816759.523 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816759.524 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816759.524 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816759.524 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.524 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.524 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.524 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816759.524 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816759.525 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545816759.525 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816759.525 * [misc]taylor: Taking taylor expansion of k in k 1545816759.525 * [misc]backup-simplify: Simplify 0 into 0 1545816759.525 * [misc]backup-simplify: Simplify 1 into 1 1545816759.525 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.525 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.525 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.526 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.526 * [misc]taylor: Taking taylor expansion of k in k 1545816759.526 * [misc]backup-simplify: Simplify 0 into 0 1545816759.526 * [misc]backup-simplify: Simplify 1 into 1 1545816759.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.526 * [misc]backup-simplify: Simplify 2 into 2 1545816759.526 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816759.526 * [misc]taylor: Taking taylor expansion of n in k 1545816759.526 * [misc]backup-simplify: Simplify n into n 1545816759.526 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.526 * [misc]backup-simplify: Simplify PI into PI 1545816759.526 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816759.526 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816759.526 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816759.527 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.527 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.527 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.527 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816759.527 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816759.527 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1545816759.527 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816759.528 * [misc]taylor: Taking taylor expansion of k in k 1545816759.528 * [misc]backup-simplify: Simplify 0 into 0 1545816759.528 * [misc]backup-simplify: Simplify 1 into 1 1545816759.528 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.528 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.529 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1545816759.529 * [misc]taylor: Taking taylor expansion of 0 in n 1545816759.529 * [misc]backup-simplify: Simplify 0 into 0 1545816759.529 * [misc]backup-simplify: Simplify 0 into 0 1545816759.529 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545816759.529 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545816759.530 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545816759.530 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816759.531 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.531 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.531 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545816759.531 * [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))))) 1545816759.532 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1545816759.534 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1545816759.534 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.534 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.534 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.534 * [misc]taylor: Taking taylor expansion of n in n 1545816759.534 * [misc]backup-simplify: Simplify 0 into 0 1545816759.534 * [misc]backup-simplify: Simplify 1 into 1 1545816759.534 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.534 * [misc]backup-simplify: Simplify PI into PI 1545816759.534 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.535 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545816759.536 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.536 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545816759.536 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545816759.536 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.536 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.537 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545816759.537 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545816759.538 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.538 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545816759.540 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.542 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.543 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.543 * [misc]backup-simplify: Simplify 0 into 0 1545816759.544 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.545 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.545 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545816759.547 * [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 1545816759.547 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816759.547 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.548 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545816759.549 * [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))) 1545816759.552 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1545816759.556 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1545816759.557 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.557 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.557 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.557 * [misc]backup-simplify: Simplify 2 into 2 1545816759.557 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.557 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.557 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.557 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.557 * [misc]backup-simplify: Simplify 2 into 2 1545816759.557 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.558 * [misc]taylor: Taking taylor expansion of n in n 1545816759.558 * [misc]backup-simplify: Simplify 0 into 0 1545816759.558 * [misc]backup-simplify: Simplify 1 into 1 1545816759.558 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.558 * [misc]backup-simplify: Simplify PI into PI 1545816759.558 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.558 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.559 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.559 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.560 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.560 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1545816759.560 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545816759.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.560 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545816759.560 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545816759.560 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545816759.560 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545816759.560 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.560 * [misc]taylor: Taking taylor expansion of n in n 1545816759.561 * [misc]backup-simplify: Simplify 0 into 0 1545816759.561 * [misc]backup-simplify: Simplify 1 into 1 1545816759.561 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.561 * [misc]backup-simplify: Simplify PI into PI 1545816759.562 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.563 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545816759.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.564 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545816759.564 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.564 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.564 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.564 * [misc]taylor: Taking taylor expansion of n in n 1545816759.564 * [misc]backup-simplify: Simplify 0 into 0 1545816759.564 * [misc]backup-simplify: Simplify 1 into 1 1545816759.564 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.564 * [misc]backup-simplify: Simplify PI into PI 1545816759.565 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.565 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.566 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1545816759.566 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.566 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1545816759.567 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1545816759.567 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.567 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.567 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1545816759.567 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1545816759.568 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.568 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1545816759.569 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1545816759.570 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1545816759.571 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.571 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1545816759.572 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.574 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816759.576 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.578 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1545816759.579 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1545816759.580 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545816759.582 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1545816759.587 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1545816759.588 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.588 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1545816759.590 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.591 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1545816759.594 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545816759.598 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545816759.602 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1545816759.603 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1545816759.604 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.605 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1545816759.605 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1545816759.607 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545816759.609 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545816759.610 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545816759.611 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1545816759.617 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545816759.617 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1545816759.617 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1545816759.617 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.617 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.617 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.617 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of k in n 1545816759.617 * [misc]backup-simplify: Simplify k into k 1545816759.617 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.617 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.617 * [misc]backup-simplify: Simplify 2 into 2 1545816759.617 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.617 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.617 * [misc]backup-simplify: Simplify PI into PI 1545816759.617 * [misc]taylor: Taking taylor expansion of n in n 1545816759.618 * [misc]backup-simplify: Simplify 0 into 0 1545816759.618 * [misc]backup-simplify: Simplify 1 into 1 1545816759.618 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.618 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.618 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.618 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.618 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.618 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.619 * [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))) 1545816759.620 * [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)))) 1545816759.621 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.621 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816759.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.621 * [misc]taylor: Taking taylor expansion of k in n 1545816759.621 * [misc]backup-simplify: Simplify k into k 1545816759.621 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.621 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816759.621 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.621 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816759.621 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.622 * [misc]taylor: Taking taylor expansion of k in k 1545816759.622 * [misc]backup-simplify: Simplify 0 into 0 1545816759.622 * [misc]backup-simplify: Simplify 1 into 1 1545816759.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.622 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816759.622 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816759.622 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.622 * [misc]backup-simplify: Simplify 2 into 2 1545816759.622 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.622 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.622 * [misc]backup-simplify: Simplify PI into PI 1545816759.622 * [misc]taylor: Taking taylor expansion of n in k 1545816759.622 * [misc]backup-simplify: Simplify n into n 1545816759.622 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.622 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816759.622 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816759.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.623 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.623 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.623 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816759.623 * [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)))) 1545816759.623 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545816759.623 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816759.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.623 * [misc]taylor: Taking taylor expansion of k in k 1545816759.623 * [misc]backup-simplify: Simplify 0 into 0 1545816759.623 * [misc]backup-simplify: Simplify 1 into 1 1545816759.624 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.624 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.624 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.624 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1545816759.624 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816759.624 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816759.624 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816759.624 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of k in k 1545816759.625 * [misc]backup-simplify: Simplify 0 into 0 1545816759.625 * [misc]backup-simplify: Simplify 1 into 1 1545816759.625 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.625 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.625 * [misc]backup-simplify: Simplify 2 into 2 1545816759.625 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.625 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.625 * [misc]backup-simplify: Simplify PI into PI 1545816759.625 * [misc]taylor: Taking taylor expansion of n in k 1545816759.625 * [misc]backup-simplify: Simplify n into n 1545816759.625 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.625 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816759.625 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816759.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.626 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.626 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.626 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816759.626 * [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)))) 1545816759.626 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545816759.627 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816759.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.627 * [misc]taylor: Taking taylor expansion of k in k 1545816759.627 * [misc]backup-simplify: Simplify 0 into 0 1545816759.627 * [misc]backup-simplify: Simplify 1 into 1 1545816759.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.627 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.627 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.628 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545816759.628 * [misc]taylor: Taking taylor expansion of 0 in n 1545816759.628 * [misc]backup-simplify: Simplify 0 into 0 1545816759.628 * [misc]backup-simplify: Simplify 0 into 0 1545816759.628 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545816759.629 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545816759.629 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.629 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.629 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of k in n 1545816759.629 * [misc]backup-simplify: Simplify k into k 1545816759.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.629 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.629 * [misc]backup-simplify: Simplify 2 into 2 1545816759.629 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.629 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.629 * [misc]backup-simplify: Simplify PI into PI 1545816759.629 * [misc]taylor: Taking taylor expansion of n in n 1545816759.629 * [misc]backup-simplify: Simplify 0 into 0 1545816759.629 * [misc]backup-simplify: Simplify 1 into 1 1545816759.630 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.630 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.630 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.631 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.631 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.631 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.631 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.632 * [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))) 1545816759.633 * [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)))) 1545816759.633 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.634 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.635 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.636 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.636 * [misc]backup-simplify: Simplify 0 into 0 1545816759.636 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816759.637 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.638 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545816759.638 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545816759.638 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.638 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.638 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.638 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.638 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.638 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.639 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.639 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.639 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.639 * [misc]taylor: Taking taylor expansion of k in n 1545816759.639 * [misc]backup-simplify: Simplify k into k 1545816759.639 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.639 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.639 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.639 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.639 * [misc]backup-simplify: Simplify 2 into 2 1545816759.639 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.639 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.639 * [misc]backup-simplify: Simplify PI into PI 1545816759.639 * [misc]taylor: Taking taylor expansion of n in n 1545816759.639 * [misc]backup-simplify: Simplify 0 into 0 1545816759.639 * [misc]backup-simplify: Simplify 1 into 1 1545816759.639 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.640 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.640 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.640 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.640 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.640 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.642 * [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))) 1545816759.642 * [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)))) 1545816759.643 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.644 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.644 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.645 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.646 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.647 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816759.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.650 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.650 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.650 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.651 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.652 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545816759.654 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.655 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1545816759.656 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1545816759.656 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.656 * [misc]backup-simplify: Simplify 0 into 0 1545816759.656 * [misc]backup-simplify: Simplify 0 into 0 1545816759.657 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.658 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816759.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545816759.659 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1545816759.659 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1545816759.659 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.659 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.659 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.659 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.659 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.660 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.660 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of k in n 1545816759.660 * [misc]backup-simplify: Simplify k into k 1545816759.660 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.660 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.660 * [misc]backup-simplify: Simplify 2 into 2 1545816759.660 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.660 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.660 * [misc]backup-simplify: Simplify PI into PI 1545816759.660 * [misc]taylor: Taking taylor expansion of n in n 1545816759.660 * [misc]backup-simplify: Simplify 0 into 0 1545816759.660 * [misc]backup-simplify: Simplify 1 into 1 1545816759.660 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.661 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.661 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.661 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.661 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.661 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.662 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.663 * [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))) 1545816759.664 * [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)))) 1545816759.664 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.665 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1545816759.666 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.666 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1545816759.669 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545816759.669 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816759.669 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1545816759.669 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.669 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of -1 in n 1545816759.670 * [misc]backup-simplify: Simplify -1 into -1 1545816759.670 * [misc]taylor: Taking taylor expansion of k in n 1545816759.670 * [misc]backup-simplify: Simplify k into k 1545816759.670 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816759.670 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816759.670 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816759.670 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816759.670 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of k in n 1545816759.670 * [misc]backup-simplify: Simplify k into k 1545816759.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.670 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.670 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.670 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.671 * [misc]backup-simplify: Simplify -2 into -2 1545816759.671 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.671 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.671 * [misc]backup-simplify: Simplify PI into PI 1545816759.671 * [misc]taylor: Taking taylor expansion of n in n 1545816759.671 * [misc]backup-simplify: Simplify 0 into 0 1545816759.671 * [misc]backup-simplify: Simplify 1 into 1 1545816759.671 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.671 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.672 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.672 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.672 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.673 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.673 * [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))) 1545816759.674 * [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)))) 1545816759.675 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545816759.675 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816759.675 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816759.675 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816759.675 * [misc]taylor: Taking taylor expansion of -1 in k 1545816759.675 * [misc]backup-simplify: Simplify -1 into -1 1545816759.675 * [misc]taylor: Taking taylor expansion of k in k 1545816759.675 * [misc]backup-simplify: Simplify 0 into 0 1545816759.675 * [misc]backup-simplify: Simplify 1 into 1 1545816759.675 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816759.675 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.676 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816759.676 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.676 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of k in k 1545816759.676 * [misc]backup-simplify: Simplify 0 into 0 1545816759.676 * [misc]backup-simplify: Simplify 1 into 1 1545816759.676 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.676 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.676 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.676 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.676 * [misc]backup-simplify: Simplify -2 into -2 1545816759.676 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.676 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.676 * [misc]backup-simplify: Simplify PI into PI 1545816759.676 * [misc]taylor: Taking taylor expansion of n in k 1545816759.676 * [misc]backup-simplify: Simplify n into n 1545816759.677 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.677 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816759.677 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816759.677 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.677 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.677 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816759.677 * [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))) 1545816759.678 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545816759.678 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816759.678 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816759.678 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816759.678 * [misc]taylor: Taking taylor expansion of -1 in k 1545816759.678 * [misc]backup-simplify: Simplify -1 into -1 1545816759.678 * [misc]taylor: Taking taylor expansion of k in k 1545816759.678 * [misc]backup-simplify: Simplify 0 into 0 1545816759.678 * [misc]backup-simplify: Simplify 1 into 1 1545816759.678 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816759.678 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.679 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816759.679 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of k in k 1545816759.679 * [misc]backup-simplify: Simplify 0 into 0 1545816759.679 * [misc]backup-simplify: Simplify 1 into 1 1545816759.679 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.679 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.679 * [misc]backup-simplify: Simplify -2 into -2 1545816759.679 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.679 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.679 * [misc]backup-simplify: Simplify PI into PI 1545816759.679 * [misc]taylor: Taking taylor expansion of n in k 1545816759.679 * [misc]backup-simplify: Simplify n into n 1545816759.679 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.680 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816759.680 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816759.680 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.680 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.680 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816759.680 * [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))) 1545816759.681 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545816759.681 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.681 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.681 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.681 * [misc]backup-simplify: Simplify -2 into -2 1545816759.681 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.681 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.681 * [misc]backup-simplify: Simplify PI into PI 1545816759.681 * [misc]taylor: Taking taylor expansion of n in n 1545816759.681 * [misc]backup-simplify: Simplify 0 into 0 1545816759.681 * [misc]backup-simplify: Simplify 1 into 1 1545816759.681 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.682 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.682 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.682 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.682 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.682 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.682 * [misc]taylor: Taking taylor expansion of k in n 1545816759.682 * [misc]backup-simplify: Simplify k into k 1545816759.682 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.682 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.683 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.683 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.684 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.685 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1545816759.685 * [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))))) 1545816759.686 * [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))))) 1545816759.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816759.687 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.688 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545816759.688 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.688 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.688 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.688 * [misc]backup-simplify: Simplify -2 into -2 1545816759.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.688 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.689 * [misc]backup-simplify: Simplify PI into PI 1545816759.689 * [misc]taylor: Taking taylor expansion of n in n 1545816759.689 * [misc]backup-simplify: Simplify 0 into 0 1545816759.689 * [misc]backup-simplify: Simplify 1 into 1 1545816759.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.689 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.690 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.690 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.690 * [misc]taylor: Taking taylor expansion of k in n 1545816759.690 * [misc]backup-simplify: Simplify k into k 1545816759.690 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.691 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.691 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.691 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.692 * [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)))) 1545816759.693 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545816759.693 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545816759.694 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545816759.695 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545816759.696 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.696 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.696 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.696 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.698 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816759.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545816759.701 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545816759.703 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.705 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1545816759.705 * [misc]backup-simplify: Simplify 0 into 0 1545816759.706 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.707 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816759.709 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1545816759.709 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.709 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.709 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.709 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.710 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.710 * [misc]backup-simplify: Simplify -2 into -2 1545816759.710 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.710 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.710 * [misc]backup-simplify: Simplify PI into PI 1545816759.710 * [misc]taylor: Taking taylor expansion of n in n 1545816759.710 * [misc]backup-simplify: Simplify 0 into 0 1545816759.710 * [misc]backup-simplify: Simplify 1 into 1 1545816759.710 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.710 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.711 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.711 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.711 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.711 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.711 * [misc]taylor: Taking taylor expansion of k in n 1545816759.711 * [misc]backup-simplify: Simplify k into k 1545816759.711 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.711 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.711 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.712 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.712 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.712 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.713 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.713 * [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)))) 1545816759.714 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545816759.715 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1545816759.715 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545816759.716 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1545816759.717 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545816759.717 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545816759.718 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1545816759.718 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1545816759.718 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of k in n 1545816759.718 * [misc]backup-simplify: Simplify k into k 1545816759.718 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.718 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816759.718 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.718 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816759.718 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.718 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.718 * [misc]taylor: Taking taylor expansion of k in n 1545816759.718 * [misc]backup-simplify: Simplify k into k 1545816759.718 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.718 * [misc]backup-simplify: Simplify 2 into 2 1545816759.718 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.718 * [misc]taylor: Taking taylor expansion of n in n 1545816759.718 * [misc]backup-simplify: Simplify 0 into 0 1545816759.718 * [misc]backup-simplify: Simplify 1 into 1 1545816759.718 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.718 * [misc]backup-simplify: Simplify PI into PI 1545816759.719 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.719 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.719 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.719 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.720 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.720 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816759.720 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816759.720 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816759.720 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.721 * [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)))) 1545816759.721 * [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))))) 1545816759.721 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545816759.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816759.721 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.721 * [misc]taylor: Taking taylor expansion of k in k 1545816759.721 * [misc]backup-simplify: Simplify 0 into 0 1545816759.721 * [misc]backup-simplify: Simplify 1 into 1 1545816759.721 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.721 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.722 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.722 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.722 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.722 * [misc]taylor: Taking taylor expansion of k in k 1545816759.722 * [misc]backup-simplify: Simplify 0 into 0 1545816759.722 * [misc]backup-simplify: Simplify 1 into 1 1545816759.722 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.722 * [misc]backup-simplify: Simplify 2 into 2 1545816759.722 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816759.722 * [misc]taylor: Taking taylor expansion of n in k 1545816759.722 * [misc]backup-simplify: Simplify n into n 1545816759.722 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.722 * [misc]backup-simplify: Simplify PI into PI 1545816759.722 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816759.722 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816759.722 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816759.722 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.722 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.722 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.722 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816759.723 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816759.723 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of k in k 1545816759.723 * [misc]backup-simplify: Simplify 0 into 0 1545816759.723 * [misc]backup-simplify: Simplify 1 into 1 1545816759.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.723 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.723 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.723 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.723 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.723 * [misc]taylor: Taking taylor expansion of k in k 1545816759.723 * [misc]backup-simplify: Simplify 0 into 0 1545816759.723 * [misc]backup-simplify: Simplify 1 into 1 1545816759.723 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.723 * [misc]backup-simplify: Simplify 2 into 2 1545816759.723 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1545816759.723 * [misc]taylor: Taking taylor expansion of n in k 1545816759.723 * [misc]backup-simplify: Simplify n into n 1545816759.723 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.723 * [misc]backup-simplify: Simplify PI into PI 1545816759.723 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1545816759.724 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1545816759.724 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1545816759.724 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816759.724 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.724 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.724 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1545816759.724 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1545816759.724 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1545816759.724 * [misc]taylor: Taking taylor expansion of 0 in n 1545816759.724 * [misc]backup-simplify: Simplify 0 into 0 1545816759.724 * [misc]backup-simplify: Simplify 0 into 0 1545816759.725 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1545816759.725 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1545816759.725 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1545816759.725 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816759.725 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.725 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.726 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1545816759.726 * [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))))) 1545816759.726 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1545816759.726 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545816759.726 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816759.726 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.726 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.726 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816759.726 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.726 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.726 * [misc]backup-simplify: Simplify 2 into 2 1545816759.726 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.726 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.727 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.727 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.727 * [misc]taylor: Taking taylor expansion of n in n 1545816759.727 * [misc]backup-simplify: Simplify 0 into 0 1545816759.727 * [misc]backup-simplify: Simplify 1 into 1 1545816759.727 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.727 * [misc]backup-simplify: Simplify PI into PI 1545816759.727 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.727 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.727 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.728 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.728 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816759.728 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.728 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.728 * [misc]backup-simplify: Simplify 0 into 0 1545816759.728 * [misc]backup-simplify: Simplify 0 into 0 1545816759.728 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1545816759.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1545816759.730 * [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 1545816759.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816759.730 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1545816759.731 * [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))) 1545816759.731 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816759.732 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.732 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1545816759.732 * [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 1545816759.732 * [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 1545816759.732 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545816759.732 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.732 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.732 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545816759.732 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545816759.732 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.732 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.732 * [misc]backup-simplify: Simplify 2 into 2 1545816759.732 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.733 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.733 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.733 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.733 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.733 * [misc]backup-simplify: Simplify 2 into 2 1545816759.733 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.733 * [misc]taylor: Taking taylor expansion of n in n 1545816759.733 * [misc]backup-simplify: Simplify 0 into 0 1545816759.733 * [misc]backup-simplify: Simplify 1 into 1 1545816759.733 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.733 * [misc]backup-simplify: Simplify PI into PI 1545816759.733 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.733 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.733 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.734 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.734 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.734 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.734 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.734 * [misc]taylor: Taking taylor expansion of n in n 1545816759.734 * [misc]backup-simplify: Simplify 0 into 0 1545816759.734 * [misc]backup-simplify: Simplify 1 into 1 1545816759.734 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.734 * [misc]backup-simplify: Simplify PI into PI 1545816759.735 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.735 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.735 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.735 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545816759.735 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816759.735 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.735 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.735 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816759.735 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.735 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.735 * [misc]backup-simplify: Simplify 2 into 2 1545816759.736 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.736 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.736 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.736 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.736 * [misc]taylor: Taking taylor expansion of n in n 1545816759.736 * [misc]backup-simplify: Simplify 0 into 0 1545816759.736 * [misc]backup-simplify: Simplify 1 into 1 1545816759.736 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.736 * [misc]backup-simplify: Simplify PI into PI 1545816759.736 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.736 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.736 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.737 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.738 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545816759.738 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545816759.738 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.739 * [misc]backup-simplify: Simplify 0 into 0 1545816759.740 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.742 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.744 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.745 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.745 * [misc]backup-simplify: Simplify 0 into 0 1545816759.746 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1545816759.746 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1545816759.749 * [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 1545816759.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816759.750 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.750 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.750 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1545816759.752 * [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))) 1545816759.753 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.754 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816759.755 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1545816759.756 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.756 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.756 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.756 * [misc]backup-simplify: Simplify 2 into 2 1545816759.756 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.756 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.756 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.756 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.757 * [misc]backup-simplify: Simplify 2 into 2 1545816759.757 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.757 * [misc]taylor: Taking taylor expansion of n in n 1545816759.757 * [misc]backup-simplify: Simplify 0 into 0 1545816759.757 * [misc]backup-simplify: Simplify 1 into 1 1545816759.757 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.757 * [misc]backup-simplify: Simplify PI into PI 1545816759.757 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.757 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.758 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.759 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.759 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.759 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.759 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.759 * [misc]taylor: Taking taylor expansion of n in n 1545816759.759 * [misc]backup-simplify: Simplify 0 into 0 1545816759.759 * [misc]backup-simplify: Simplify 1 into 1 1545816759.759 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.759 * [misc]backup-simplify: Simplify PI into PI 1545816759.760 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.760 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.761 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.761 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.761 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.761 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.761 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.761 * [misc]backup-simplify: Simplify 2 into 2 1545816759.761 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.762 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1545816759.762 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1545816759.762 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1545816759.762 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.762 * [misc]backup-simplify: Simplify 2 into 2 1545816759.762 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.762 * [misc]taylor: Taking taylor expansion of n in n 1545816759.762 * [misc]backup-simplify: Simplify 0 into 0 1545816759.762 * [misc]backup-simplify: Simplify 1 into 1 1545816759.762 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.762 * [misc]backup-simplify: Simplify PI into PI 1545816759.762 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.762 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816759.763 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.763 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1545816759.764 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.764 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.764 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.764 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.764 * [misc]taylor: Taking taylor expansion of n in n 1545816759.764 * [misc]backup-simplify: Simplify 0 into 0 1545816759.764 * [misc]backup-simplify: Simplify 1 into 1 1545816759.764 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.764 * [misc]backup-simplify: Simplify PI into PI 1545816759.765 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.765 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.765 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.765 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545816759.765 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816759.765 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.765 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.765 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816759.765 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816759.765 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.765 * [misc]backup-simplify: Simplify 2 into 2 1545816759.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816759.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816759.766 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816759.766 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816759.766 * [misc]taylor: Taking taylor expansion of n in n 1545816759.766 * [misc]backup-simplify: Simplify 0 into 0 1545816759.766 * [misc]backup-simplify: Simplify 1 into 1 1545816759.766 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.766 * [misc]backup-simplify: Simplify PI into PI 1545816759.766 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816759.766 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816759.766 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.767 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816759.767 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.768 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1545816759.768 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1545816759.768 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.770 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1545816759.770 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1545816759.771 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.771 * [misc]backup-simplify: Simplify 0 into 0 1545816759.772 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.773 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1545816759.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.775 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1545816759.775 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1545816759.776 * [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)))))))) 1545816759.777 * [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)))))))) 1545816759.778 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.779 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.780 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816759.782 * [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)))))))))) 1545816759.784 * [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))))))) 1545816759.786 * [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))))))) 1545816759.787 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816759.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545816759.788 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545816759.790 * [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)))) 1545816759.792 * [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)))) 1545816759.793 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545816759.794 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545816759.799 * [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))))))))))))) 1545816759.800 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1545816759.800 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1545816759.800 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of k in n 1545816759.800 * [misc]backup-simplify: Simplify k into k 1545816759.800 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816759.800 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816759.800 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.800 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.800 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.800 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of k in n 1545816759.800 * [misc]backup-simplify: Simplify k into k 1545816759.800 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.800 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.800 * [misc]backup-simplify: Simplify 2 into 2 1545816759.800 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.800 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.800 * [misc]backup-simplify: Simplify PI into PI 1545816759.801 * [misc]taylor: Taking taylor expansion of n in n 1545816759.801 * [misc]backup-simplify: Simplify 0 into 0 1545816759.801 * [misc]backup-simplify: Simplify 1 into 1 1545816759.801 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.801 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.802 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.802 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.802 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.802 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.803 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.803 * [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))) 1545816759.804 * [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)))) 1545816759.804 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816759.804 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816759.804 * [misc]taylor: Taking taylor expansion of k in k 1545816759.804 * [misc]backup-simplify: Simplify 0 into 0 1545816759.804 * [misc]backup-simplify: Simplify 1 into 1 1545816759.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.805 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.805 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.805 * [misc]taylor: Taking taylor expansion of k in k 1545816759.805 * [misc]backup-simplify: Simplify 0 into 0 1545816759.805 * [misc]backup-simplify: Simplify 1 into 1 1545816759.806 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.806 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816759.806 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816759.806 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.806 * [misc]backup-simplify: Simplify 2 into 2 1545816759.806 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.806 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.806 * [misc]backup-simplify: Simplify PI into PI 1545816759.806 * [misc]taylor: Taking taylor expansion of n in k 1545816759.806 * [misc]backup-simplify: Simplify n into n 1545816759.806 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.806 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816759.806 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816759.806 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.806 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.807 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.807 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816759.807 * [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)))) 1545816759.807 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816759.807 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816759.807 * [misc]taylor: Taking taylor expansion of k in k 1545816759.807 * [misc]backup-simplify: Simplify 0 into 0 1545816759.807 * [misc]backup-simplify: Simplify 1 into 1 1545816759.807 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.808 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816759.808 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of k in k 1545816759.808 * [misc]backup-simplify: Simplify 0 into 0 1545816759.808 * [misc]backup-simplify: Simplify 1 into 1 1545816759.808 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.808 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of 2 in k 1545816759.808 * [misc]backup-simplify: Simplify 2 into 2 1545816759.808 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.808 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.808 * [misc]backup-simplify: Simplify PI into PI 1545816759.808 * [misc]taylor: Taking taylor expansion of n in k 1545816759.808 * [misc]backup-simplify: Simplify n into n 1545816759.809 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.809 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1545816759.809 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1545816759.809 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.809 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816759.809 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816759.809 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1545816759.809 * [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)))) 1545816759.810 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1545816759.810 * [misc]taylor: Taking taylor expansion of 0 in n 1545816759.810 * [misc]backup-simplify: Simplify 0 into 0 1545816759.810 * [misc]backup-simplify: Simplify 0 into 0 1545816759.810 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816759.810 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.810 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.810 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.811 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.811 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.811 * [misc]taylor: Taking taylor expansion of k in n 1545816759.811 * [misc]backup-simplify: Simplify k into k 1545816759.811 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.811 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.811 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.811 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.811 * [misc]backup-simplify: Simplify 2 into 2 1545816759.811 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.811 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.811 * [misc]backup-simplify: Simplify PI into PI 1545816759.811 * [misc]taylor: Taking taylor expansion of n in n 1545816759.811 * [misc]backup-simplify: Simplify 0 into 0 1545816759.811 * [misc]backup-simplify: Simplify 1 into 1 1545816759.811 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.812 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.812 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.812 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.812 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.812 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.813 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.814 * [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))) 1545816759.814 * [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)))) 1545816759.815 * [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))))) 1545816759.816 * [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)))))) 1545816759.816 * [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)))))) 1545816759.816 * [misc]backup-simplify: Simplify 0 into 0 1545816759.817 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.818 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816759.818 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.818 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.818 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.818 * [misc]taylor: Taking taylor expansion of k in n 1545816759.818 * [misc]backup-simplify: Simplify k into k 1545816759.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.818 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.819 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.819 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.819 * [misc]backup-simplify: Simplify 2 into 2 1545816759.819 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.819 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.819 * [misc]backup-simplify: Simplify PI into PI 1545816759.819 * [misc]taylor: Taking taylor expansion of n in n 1545816759.819 * [misc]backup-simplify: Simplify 0 into 0 1545816759.819 * [misc]backup-simplify: Simplify 1 into 1 1545816759.819 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.819 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.820 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.820 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.820 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.820 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.821 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.821 * [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))) 1545816759.822 * [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)))) 1545816759.822 * [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))))) 1545816759.823 * [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)))))) 1545816759.824 * [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)))))) 1545816759.825 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1545816759.828 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1545816759.829 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.829 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.829 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.829 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.830 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1545816759.832 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.832 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1545816759.832 * [misc]backup-simplify: Simplify (- 0) into 0 1545816759.832 * [misc]backup-simplify: Simplify 0 into 0 1545816759.832 * [misc]backup-simplify: Simplify 0 into 0 1545816759.833 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816759.833 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816759.833 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1545816759.833 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.834 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.834 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.834 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.834 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of k in n 1545816759.834 * [misc]backup-simplify: Simplify k into k 1545816759.834 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.834 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of 2 in n 1545816759.834 * [misc]backup-simplify: Simplify 2 into 2 1545816759.834 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.834 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.834 * [misc]backup-simplify: Simplify PI into PI 1545816759.834 * [misc]taylor: Taking taylor expansion of n in n 1545816759.834 * [misc]backup-simplify: Simplify 0 into 0 1545816759.834 * [misc]backup-simplify: Simplify 1 into 1 1545816759.834 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.834 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1545816759.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1545816759.835 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.835 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816759.835 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816759.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1545816759.836 * [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))) 1545816759.836 * [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)))) 1545816759.837 * [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))))) 1545816759.838 * [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)))))) 1545816759.838 * [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)))))) 1545816759.840 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))) 1545816759.840 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545816759.840 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1545816759.840 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.840 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of k in n 1545816759.840 * [misc]backup-simplify: Simplify k into k 1545816759.840 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.840 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.840 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.840 * [misc]backup-simplify: Simplify -2 into -2 1545816759.840 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.840 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.840 * [misc]backup-simplify: Simplify PI into PI 1545816759.840 * [misc]taylor: Taking taylor expansion of n in n 1545816759.840 * [misc]backup-simplify: Simplify 0 into 0 1545816759.840 * [misc]backup-simplify: Simplify 1 into 1 1545816759.840 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.841 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.841 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.841 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.841 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.841 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.842 * [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))) 1545816759.842 * [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)))) 1545816759.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816759.842 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816759.842 * [misc]taylor: Taking taylor expansion of -1 in n 1545816759.842 * [misc]backup-simplify: Simplify -1 into -1 1545816759.842 * [misc]taylor: Taking taylor expansion of k in n 1545816759.842 * [misc]backup-simplify: Simplify k into k 1545816759.842 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816759.842 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816759.842 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816759.842 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816759.843 * [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))) 1545816759.843 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of k in k 1545816759.843 * [misc]backup-simplify: Simplify 0 into 0 1545816759.843 * [misc]backup-simplify: Simplify 1 into 1 1545816759.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.843 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.843 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.843 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.843 * [misc]backup-simplify: Simplify -2 into -2 1545816759.843 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.843 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.843 * [misc]backup-simplify: Simplify PI into PI 1545816759.843 * [misc]taylor: Taking taylor expansion of n in k 1545816759.843 * [misc]backup-simplify: Simplify n into n 1545816759.844 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.844 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816759.844 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816759.844 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.844 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.844 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816759.844 * [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))) 1545816759.844 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816759.844 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816759.844 * [misc]taylor: Taking taylor expansion of -1 in k 1545816759.844 * [misc]backup-simplify: Simplify -1 into -1 1545816759.844 * [misc]taylor: Taking taylor expansion of k in k 1545816759.844 * [misc]backup-simplify: Simplify 0 into 0 1545816759.844 * [misc]backup-simplify: Simplify 1 into 1 1545816759.844 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816759.844 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.845 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816759.845 * [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)))) 1545816759.845 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of k in k 1545816759.845 * [misc]backup-simplify: Simplify 0 into 0 1545816759.845 * [misc]backup-simplify: Simplify 1 into 1 1545816759.845 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816759.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816759.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.845 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of -2 in k 1545816759.845 * [misc]backup-simplify: Simplify -2 into -2 1545816759.845 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1545816759.845 * [misc]taylor: Taking taylor expansion of PI in k 1545816759.845 * [misc]backup-simplify: Simplify PI into PI 1545816759.845 * [misc]taylor: Taking taylor expansion of n in k 1545816759.845 * [misc]backup-simplify: Simplify n into n 1545816759.845 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1545816759.845 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1545816759.845 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1545816759.845 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816759.846 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816759.846 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1545816759.846 * [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))) 1545816759.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816759.846 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816759.846 * [misc]taylor: Taking taylor expansion of -1 in k 1545816759.846 * [misc]backup-simplify: Simplify -1 into -1 1545816759.846 * [misc]taylor: Taking taylor expansion of k in k 1545816759.846 * [misc]backup-simplify: Simplify 0 into 0 1545816759.846 * [misc]backup-simplify: Simplify 1 into 1 1545816759.846 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816759.846 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816759.846 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816759.847 * [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)))) 1545816759.847 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.847 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.847 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.847 * [misc]backup-simplify: Simplify -2 into -2 1545816759.847 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.847 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.847 * [misc]backup-simplify: Simplify PI into PI 1545816759.847 * [misc]taylor: Taking taylor expansion of n in n 1545816759.847 * [misc]backup-simplify: Simplify 0 into 0 1545816759.847 * [misc]backup-simplify: Simplify 1 into 1 1545816759.847 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.847 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.848 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.848 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.848 * [misc]taylor: Taking taylor expansion of k in n 1545816759.848 * [misc]backup-simplify: Simplify k into k 1545816759.848 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.848 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.848 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.848 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.849 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.849 * [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)))) 1545816759.849 * [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))))) 1545816759.850 * [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))))) 1545816759.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816759.851 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816759.851 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545816759.851 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.851 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.851 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.851 * [misc]backup-simplify: Simplify -2 into -2 1545816759.851 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.851 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.851 * [misc]backup-simplify: Simplify PI into PI 1545816759.851 * [misc]taylor: Taking taylor expansion of n in n 1545816759.851 * [misc]backup-simplify: Simplify 0 into 0 1545816759.851 * [misc]backup-simplify: Simplify 1 into 1 1545816759.851 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.852 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.852 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.852 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.852 * [misc]taylor: Taking taylor expansion of k in n 1545816759.852 * [misc]backup-simplify: Simplify k into k 1545816759.852 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.853 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.853 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.853 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.853 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.853 * [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)))) 1545816759.854 * [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))))) 1545816759.854 * [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)))))) 1545816759.855 * [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)))))) 1545816759.855 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.856 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816759.856 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816759.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816759.856 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1545816759.857 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1545816759.858 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1545816759.859 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1545816759.860 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816759.860 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1545816759.860 * [misc]backup-simplify: Simplify 0 into 0 1545816759.861 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816759.861 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816759.862 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1545816759.862 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816759.862 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816759.862 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of -2 in n 1545816759.862 * [misc]backup-simplify: Simplify -2 into -2 1545816759.862 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1545816759.862 * [misc]taylor: Taking taylor expansion of PI in n 1545816759.862 * [misc]backup-simplify: Simplify PI into PI 1545816759.862 * [misc]taylor: Taking taylor expansion of n in n 1545816759.862 * [misc]backup-simplify: Simplify 0 into 0 1545816759.862 * [misc]backup-simplify: Simplify 1 into 1 1545816759.862 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1545816759.862 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1545816759.863 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1545816759.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816759.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816759.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816759.863 * [misc]taylor: Taking taylor expansion of k in n 1545816759.863 * [misc]backup-simplify: Simplify k into k 1545816759.863 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816759.863 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816759.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816759.863 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1545816759.863 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816759.864 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816759.864 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1545816759.864 * [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)))) 1545816759.865 * [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))))) 1545816759.865 * [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)))))) 1545816759.866 * [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)))))) 1545816759.867 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))) 1545816759.867 * * * [misc]progress: simplifying candidates 1545816759.867 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1545816759.867 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1545816759.868 * * [misc]simplify: iters left: 6 (11 enodes) 1545816759.869 * * [misc]simplify: iters left: 5 (21 enodes) 1545816759.873 * * [misc]simplify: iters left: 4 (47 enodes) 1545816759.881 * * [misc]simplify: iters left: 3 (108 enodes) 1545816759.908 * * [misc]simplify: iters left: 2 (309 enodes) 1545816760.076 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1545816760.076 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1545816760.076 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1545816760.076 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1545816760.076 * [enter]simplify: Simplifying (* PI (* n 2)) 1545816760.076 * * [misc]simplify: iters left: 4 (5 enodes) 1545816760.077 * * [misc]simplify: iters left: 3 (9 enodes) 1545816760.078 * * [misc]simplify: iters left: 2 (15 enodes) 1545816760.080 * * [misc]simplify: iters left: 1 (17 enodes) 1545816760.082 * [exit]simplify: Simplified to (* (* 2 n) PI) 1545816760.082 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1545816760.082 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1545816760.083 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545816760.083 * * [misc]simplify: iters left: 5 (8 enodes) 1545816760.084 * * [misc]simplify: iters left: 4 (12 enodes) 1545816760.086 * * [misc]simplify: iters left: 3 (18 enodes) 1545816760.088 * * [misc]simplify: iters left: 2 (20 enodes) 1545816760.091 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545816760.091 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1545816760.091 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1545816760.091 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816760.091 * * [misc]simplify: iters left: 5 (6 enodes) 1545816760.092 * * [misc]simplify: iters left: 4 (8 enodes) 1545816760.093 * * [misc]simplify: iters left: 3 (11 enodes) 1545816760.094 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816760.094 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1545816760.094 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1545816760.095 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816760.095 * * [misc]simplify: iters left: 5 (6 enodes) 1545816760.095 * * [misc]simplify: iters left: 4 (8 enodes) 1545816760.097 * * [misc]simplify: iters left: 3 (11 enodes) 1545816760.098 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816760.098 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1545816760.098 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1545816760.098 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816760.098 * * [misc]simplify: iters left: 4 (5 enodes) 1545816760.099 * * [misc]simplify: iters left: 3 (7 enodes) 1545816760.100 * * [misc]simplify: iters left: 2 (10 enodes) 1545816760.101 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816760.102 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1545816760.102 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1545816760.102 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816760.102 * * [misc]simplify: iters left: 5 (9 enodes) 1545816760.103 * * [misc]simplify: iters left: 4 (15 enodes) 1545816760.106 * * [misc]simplify: iters left: 3 (21 enodes) 1545816760.109 * * [misc]simplify: iters left: 2 (22 enodes) 1545816760.111 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816760.111 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816760.111 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1545816760.111 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816760.111 * * [misc]simplify: iters left: 5 (9 enodes) 1545816760.113 * * [misc]simplify: iters left: 4 (15 enodes) 1545816760.115 * * [misc]simplify: iters left: 3 (21 enodes) 1545816760.117 * * [misc]simplify: iters left: 2 (22 enodes) 1545816760.120 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816760.120 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816760.120 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1545816760.120 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1545816760.120 * * [misc]simplify: iters left: 5 (7 enodes) 1545816760.121 * * [misc]simplify: iters left: 4 (9 enodes) 1545816760.122 * * [misc]simplify: iters left: 3 (12 enodes) 1545816760.127 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1545816760.127 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816760.127 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1545816760.127 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1545816760.127 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1545816760.127 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1545816760.127 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1545816760.128 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1545816760.129 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545816760.129 * * [misc]simplify: iters left: 6 (14 enodes) 1545816760.133 * * [misc]simplify: iters left: 5 (26 enodes) 1545816760.140 * * [misc]simplify: iters left: 4 (59 enodes) 1545816760.152 * * [misc]simplify: iters left: 3 (164 enodes) 1545816760.203 * * [misc]simplify: iters left: 2 (466 enodes) 1545816760.418 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545816760.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545816760.418 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1545816760.419 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1545816760.419 * * [misc]simplify: iters left: 6 (14 enodes) 1545816760.421 * * [misc]simplify: iters left: 5 (26 enodes) 1545816760.425 * * [misc]simplify: iters left: 4 (59 enodes) 1545816760.436 * * [misc]simplify: iters left: 3 (164 enodes) 1545816760.480 * * [misc]simplify: iters left: 2 (466 enodes) 1545816760.765 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1545816760.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1545816760.765 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1545816760.766 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816760.766 * * [misc]simplify: iters left: 6 (14 enodes) 1545816760.770 * * [misc]simplify: iters left: 5 (24 enodes) 1545816760.778 * * [misc]simplify: iters left: 4 (46 enodes) 1545816760.793 * * [misc]simplify: iters left: 3 (103 enodes) 1545816760.839 * * [misc]simplify: iters left: 2 (324 enodes) 1545816761.062 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1545816761.062 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1545816761.062 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1545816761.062 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1545816761.062 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1545816761.062 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.063 * * [misc]simplify: iters left: 6 (16 enodes) 1545816761.065 * * [misc]simplify: iters left: 5 (31 enodes) 1545816761.070 * * [misc]simplify: iters left: 4 (65 enodes) 1545816761.088 * * [misc]simplify: iters left: 3 (98 enodes) 1545816761.116 * * [misc]simplify: iters left: 2 (124 enodes) 1545816761.152 * * [misc]simplify: iters left: 1 (131 enodes) 1545816761.167 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1545816761.167 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1545816761.167 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1545816761.167 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1545816761.167 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1545816761.167 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1545816761.168 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1545816761.168 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545816761.168 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.170 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.173 * * [misc]simplify: iters left: 4 (27 enodes) 1545816761.176 * * [misc]simplify: iters left: 3 (29 enodes) 1545816761.180 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545816761.180 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.180 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.180 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.182 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.185 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.192 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.198 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.198 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816761.198 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1545816761.199 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1545816761.199 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.203 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.209 * * [misc]simplify: iters left: 4 (27 enodes) 1545816761.216 * * [misc]simplify: iters left: 3 (29 enodes) 1545816761.224 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1545816761.224 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.224 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.224 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.228 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.233 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.239 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.245 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816761.246 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1545816761.246 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545816761.246 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.249 * * [misc]simplify: iters left: 5 (15 enodes) 1545816761.254 * * [misc]simplify: iters left: 4 (20 enodes) 1545816761.259 * * [misc]simplify: iters left: 3 (21 enodes) 1545816761.265 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1545816761.265 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.265 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.265 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.269 * * [misc]simplify: iters left: 5 (14 enodes) 1545816761.272 * * [misc]simplify: iters left: 4 (17 enodes) 1545816761.277 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.277 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.277 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1545816761.278 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545816761.278 * * [misc]simplify: iters left: 6 (16 enodes) 1545816761.283 * * [misc]simplify: iters left: 5 (28 enodes) 1545816761.292 * * [misc]simplify: iters left: 4 (46 enodes) 1545816761.304 * * [misc]simplify: iters left: 3 (50 enodes) 1545816761.318 * * [misc]simplify: iters left: 2 (53 enodes) 1545816761.332 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545816761.332 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.332 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.332 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.336 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.342 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.349 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.354 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545816761.354 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1545816761.354 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.354 * * [misc]simplify: iters left: 6 (15 enodes) 1545816761.356 * * [misc]simplify: iters left: 5 (23 enodes) 1545816761.359 * * [misc]simplify: iters left: 4 (34 enodes) 1545816761.364 * * [misc]simplify: iters left: 3 (36 enodes) 1545816761.368 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.368 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.368 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.368 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.370 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.375 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.382 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.390 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.390 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545816761.390 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1545816761.390 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1545816761.390 * * [misc]simplify: iters left: 6 (6 enodes) 1545816761.392 * * [misc]simplify: iters left: 5 (10 enodes) 1545816761.394 * * [misc]simplify: iters left: 4 (16 enodes) 1545816761.395 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545816761.396 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545816761.396 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.396 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.398 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.400 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.404 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.408 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545816761.408 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816761.408 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1545816761.408 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545816761.408 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.410 * * [misc]simplify: iters left: 5 (16 enodes) 1545816761.412 * * [misc]simplify: iters left: 4 (22 enodes) 1545816761.414 * * [misc]simplify: iters left: 3 (23 enodes) 1545816761.418 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545816761.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.418 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.419 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.421 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.427 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.433 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.440 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.440 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816761.440 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1545816761.440 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1545816761.441 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.444 * * [misc]simplify: iters left: 5 (16 enodes) 1545816761.446 * * [misc]simplify: iters left: 4 (22 enodes) 1545816761.448 * * [misc]simplify: iters left: 3 (23 enodes) 1545816761.451 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1545816761.451 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.451 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.451 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.453 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.456 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.459 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.462 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.462 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1545816761.462 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1545816761.462 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545816761.462 * * [misc]simplify: iters left: 6 (10 enodes) 1545816761.463 * * [misc]simplify: iters left: 5 (12 enodes) 1545816761.465 * * [misc]simplify: iters left: 4 (15 enodes) 1545816761.467 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1545816761.467 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.467 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.467 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.468 * * [misc]simplify: iters left: 5 (14 enodes) 1545816761.470 * * [misc]simplify: iters left: 4 (17 enodes) 1545816761.472 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.472 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.472 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1545816761.473 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545816761.473 * * [misc]simplify: iters left: 6 (15 enodes) 1545816761.475 * * [misc]simplify: iters left: 5 (23 enodes) 1545816761.478 * * [misc]simplify: iters left: 4 (32 enodes) 1545816761.482 * * [misc]simplify: iters left: 3 (34 enodes) 1545816761.487 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545816761.487 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.487 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.487 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.489 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.492 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.495 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.499 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.499 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545816761.499 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1545816761.499 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.499 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.502 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.506 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.514 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.521 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.521 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.522 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.522 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.526 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.532 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.539 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.543 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.543 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1545816761.543 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1545816761.543 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1545816761.543 * * [misc]simplify: iters left: 4 (5 enodes) 1545816761.544 * * [misc]simplify: iters left: 3 (7 enodes) 1545816761.545 * * [misc]simplify: iters left: 2 (9 enodes) 1545816761.546 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545816761.546 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545816761.546 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.546 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.548 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.550 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.554 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.557 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545816761.558 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816761.558 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1545816761.558 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545816761.558 * * [misc]simplify: iters left: 6 (9 enodes) 1545816761.559 * * [misc]simplify: iters left: 5 (16 enodes) 1545816761.561 * * [misc]simplify: iters left: 4 (22 enodes) 1545816761.564 * * [misc]simplify: iters left: 3 (23 enodes) 1545816761.566 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545816761.566 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.566 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.566 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.569 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.574 * * [misc]simplify: iters left: 4 (23 enodes) 1545816761.579 * * [misc]simplify: iters left: 3 (24 enodes) 1545816761.582 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545816761.582 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545816761.582 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1545816761.582 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1545816761.582 * * [misc]simplify: iters left: 6 (9 enodes) 1545816761.584 * * [misc]simplify: iters left: 5 (16 enodes) 1545816761.586 * * [misc]simplify: iters left: 4 (22 enodes) 1545816761.588 * * [misc]simplify: iters left: 3 (23 enodes) 1545816761.591 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1545816761.591 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1545816761.591 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.591 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.593 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.595 * * [misc]simplify: iters left: 4 (23 enodes) 1545816761.599 * * [misc]simplify: iters left: 3 (24 enodes) 1545816761.601 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545816761.601 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1545816761.601 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1545816761.602 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545816761.602 * * [misc]simplify: iters left: 6 (9 enodes) 1545816761.603 * * [misc]simplify: iters left: 5 (13 enodes) 1545816761.604 * * [misc]simplify: iters left: 4 (16 enodes) 1545816761.606 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1545816761.606 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.607 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.607 * * [misc]simplify: iters left: 6 (10 enodes) 1545816761.609 * * [misc]simplify: iters left: 5 (13 enodes) 1545816761.613 * * [misc]simplify: iters left: 4 (16 enodes) 1545816761.617 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.617 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1545816761.617 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1545816761.617 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545816761.617 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.621 * * [misc]simplify: iters left: 5 (24 enodes) 1545816761.625 * * [misc]simplify: iters left: 4 (33 enodes) 1545816761.630 * * [misc]simplify: iters left: 3 (34 enodes) 1545816761.634 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1545816761.634 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.634 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.634 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.636 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.639 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.643 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.646 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816761.646 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545816761.647 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1545816761.647 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.647 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.649 * * [misc]simplify: iters left: 5 (21 enodes) 1545816761.653 * * [misc]simplify: iters left: 4 (30 enodes) 1545816761.660 * * [misc]simplify: iters left: 3 (31 enodes) 1545816761.667 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1545816761.668 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1545816761.668 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.668 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.672 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.674 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.678 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.681 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816761.682 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1545816761.682 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1545816761.682 * [enter]simplify: Simplifying (/ 1 1) 1545816761.682 * * [misc]simplify: iters left: 2 (2 enodes) 1545816761.682 * * [misc]simplify: iters left: 1 (4 enodes) 1545816761.683 * [exit]simplify: Simplified to 1 1545816761.683 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545816761.683 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.683 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.685 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.687 * * [misc]simplify: iters left: 4 (27 enodes) 1545816761.691 * * [misc]simplify: iters left: 3 (29 enodes) 1545816761.695 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.695 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1545816761.695 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1545816761.695 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1545816761.695 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1545816761.695 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1545816761.695 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816761.695 * * [misc]simplify: iters left: 5 (9 enodes) 1545816761.697 * * [misc]simplify: iters left: 4 (15 enodes) 1545816761.699 * * [misc]simplify: iters left: 3 (21 enodes) 1545816761.704 * * [misc]simplify: iters left: 2 (22 enodes) 1545816761.709 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816761.709 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.709 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1545816761.709 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1545816761.709 * * [misc]simplify: iters left: 5 (9 enodes) 1545816761.712 * * [misc]simplify: iters left: 4 (15 enodes) 1545816761.716 * * [misc]simplify: iters left: 3 (21 enodes) 1545816761.718 * * [misc]simplify: iters left: 2 (22 enodes) 1545816761.721 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1545816761.721 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.721 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1545816761.721 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1545816761.721 * * [misc]simplify: iters left: 5 (8 enodes) 1545816761.722 * * [misc]simplify: iters left: 4 (11 enodes) 1545816761.724 * * [misc]simplify: iters left: 3 (14 enodes) 1545816761.726 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1545816761.726 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545816761.726 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1545816761.726 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.726 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.727 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.730 * * [misc]simplify: iters left: 4 (26 enodes) 1545816761.733 * * [misc]simplify: iters left: 3 (27 enodes) 1545816761.736 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545816761.736 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.736 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1545816761.736 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.736 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.738 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.740 * * [misc]simplify: iters left: 4 (26 enodes) 1545816761.743 * * [misc]simplify: iters left: 3 (27 enodes) 1545816761.746 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1545816761.746 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.746 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1545816761.747 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545816761.747 * * [misc]simplify: iters left: 5 (10 enodes) 1545816761.748 * * [misc]simplify: iters left: 4 (16 enodes) 1545816761.750 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.753 * * [misc]simplify: iters left: 2 (26 enodes) 1545816761.756 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545816761.756 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1545816761.756 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1545816761.756 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545816761.757 * * [misc]simplify: iters left: 4 (4 enodes) 1545816761.757 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1545816761.757 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1545816761.757 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1545816761.757 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545816761.757 * * [misc]simplify: iters left: 2 (3 enodes) 1545816761.758 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545816761.758 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1545816761.758 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1545816761.758 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1545816761.758 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545816761.758 * * [misc]simplify: iters left: 5 (8 enodes) 1545816761.759 * * [misc]simplify: iters left: 4 (12 enodes) 1545816761.761 * * [misc]simplify: iters left: 3 (18 enodes) 1545816761.763 * * [misc]simplify: iters left: 2 (20 enodes) 1545816761.765 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545816761.765 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1545816761.766 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1545816761.766 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1545816761.766 * [enter]simplify: Simplifying (- 1) 1545816761.766 * * [misc]simplify: iters left: 2 (2 enodes) 1545816761.767 * * [misc]simplify: iters left: 1 (5 enodes) 1545816761.767 * [exit]simplify: Simplified to -1 1545816761.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1545816761.767 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1545816761.767 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1545816761.768 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1545816761.768 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.768 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.770 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.773 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.777 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.780 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816761.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816761.780 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1545816761.780 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.781 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.782 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.785 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.788 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.792 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816761.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816761.792 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1545816761.792 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.792 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.794 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.796 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.799 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.802 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.802 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1545816761.802 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.802 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.804 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.806 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.809 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.812 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.812 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.812 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1545816761.812 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.813 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.814 * * [misc]simplify: iters left: 5 (14 enodes) 1545816761.816 * * [misc]simplify: iters left: 4 (17 enodes) 1545816761.818 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545816761.818 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1545816761.818 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.818 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.820 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.823 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.826 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.830 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.830 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1545816761.830 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.830 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.832 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.835 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.838 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.843 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.843 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1545816761.843 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.843 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.845 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.848 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.851 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.855 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545816761.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545816761.855 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1545816761.855 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.855 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.857 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.859 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.862 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.865 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.865 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1545816761.865 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.866 * * [misc]simplify: iters left: 6 (12 enodes) 1545816761.867 * * [misc]simplify: iters left: 5 (18 enodes) 1545816761.870 * * [misc]simplify: iters left: 4 (24 enodes) 1545816761.873 * * [misc]simplify: iters left: 3 (25 enodes) 1545816761.876 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1545816761.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1545816761.876 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1545816761.876 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.876 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.878 * * [misc]simplify: iters left: 5 (14 enodes) 1545816761.880 * * [misc]simplify: iters left: 4 (17 enodes) 1545816761.882 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545816761.882 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1545816761.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.882 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.885 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.887 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.891 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.894 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.895 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1545816761.895 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.895 * * [misc]simplify: iters left: 6 (14 enodes) 1545816761.897 * * [misc]simplify: iters left: 5 (20 enodes) 1545816761.900 * * [misc]simplify: iters left: 4 (29 enodes) 1545816761.903 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.906 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1545816761.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1545816761.907 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1545816761.907 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816761.907 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.909 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.911 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.915 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.919 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1545816761.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1545816761.919 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1545816761.919 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.919 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.923 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.927 * * [misc]simplify: iters left: 4 (23 enodes) 1545816761.933 * * [misc]simplify: iters left: 3 (24 enodes) 1545816761.939 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545816761.939 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545816761.939 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1545816761.939 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1545816761.940 * * [misc]simplify: iters left: 6 (11 enodes) 1545816761.943 * * [misc]simplify: iters left: 5 (17 enodes) 1545816761.947 * * [misc]simplify: iters left: 4 (23 enodes) 1545816761.953 * * [misc]simplify: iters left: 3 (24 enodes) 1545816761.959 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1545816761.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1545816761.959 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1545816761.959 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.959 * * [misc]simplify: iters left: 6 (10 enodes) 1545816761.962 * * [misc]simplify: iters left: 5 (13 enodes) 1545816761.970 * * [misc]simplify: iters left: 4 (16 enodes) 1545816761.975 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816761.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1545816761.975 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1545816761.975 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816761.975 * * [misc]simplify: iters left: 6 (13 enodes) 1545816761.979 * * [misc]simplify: iters left: 5 (19 enodes) 1545816761.985 * * [misc]simplify: iters left: 4 (28 enodes) 1545816761.992 * * [misc]simplify: iters left: 3 (30 enodes) 1545816761.999 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816762.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816762.000 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1545816762.000 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1545816762.000 * * [misc]simplify: iters left: 6 (13 enodes) 1545816762.005 * * [misc]simplify: iters left: 5 (19 enodes) 1545816762.010 * * [misc]simplify: iters left: 4 (28 enodes) 1545816762.017 * * [misc]simplify: iters left: 3 (30 enodes) 1545816762.024 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1545816762.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1545816762.024 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1545816762.025 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816762.025 * * [misc]simplify: iters left: 6 (12 enodes) 1545816762.028 * * [misc]simplify: iters left: 5 (18 enodes) 1545816762.033 * * [misc]simplify: iters left: 4 (27 enodes) 1545816762.040 * * [misc]simplify: iters left: 3 (29 enodes) 1545816762.047 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816762.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545816762.047 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1545816762.048 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816762.048 * * [misc]simplify: iters left: 6 (12 enodes) 1545816762.052 * * [misc]simplify: iters left: 5 (18 enodes) 1545816762.057 * * [misc]simplify: iters left: 4 (27 enodes) 1545816762.064 * * [misc]simplify: iters left: 3 (29 enodes) 1545816762.071 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816762.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1545816762.071 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1545816762.072 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1545816762.072 * * [misc]simplify: iters left: 6 (12 enodes) 1545816762.075 * * [misc]simplify: iters left: 5 (20 enodes) 1545816762.081 * * [misc]simplify: iters left: 4 (29 enodes) 1545816762.088 * * [misc]simplify: iters left: 3 (30 enodes) 1545816762.095 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1545816762.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1545816762.095 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1545816762.095 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1545816762.095 * * [misc]simplify: iters left: 5 (8 enodes) 1545816762.098 * * [misc]simplify: iters left: 4 (12 enodes) 1545816762.102 * * [misc]simplify: iters left: 3 (18 enodes) 1545816762.107 * * [misc]simplify: iters left: 2 (20 enodes) 1545816762.111 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1545816762.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1545816762.111 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1545816762.112 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1545816762.112 * * [misc]simplify: iters left: 5 (10 enodes) 1545816762.115 * * [misc]simplify: iters left: 4 (16 enodes) 1545816762.120 * * [misc]simplify: iters left: 3 (25 enodes) 1545816762.126 * * [misc]simplify: iters left: 2 (26 enodes) 1545816762.132 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1545816762.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1545816762.132 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1545816762.133 * [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))))) 1545816762.133 * * [misc]simplify: iters left: 6 (37 enodes) 1545816762.144 * * [misc]simplify: iters left: 5 (105 enodes) 1545816762.166 * * [misc]simplify: iters left: 4 (339 enodes) 1545816762.349 * [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)))) (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) 1/8)) (* (* (log (* PI 2)) 1/4) (* (* k k) (log n)))))) 1545816762.349 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* (pow (* PI 2) 1/2) (pow n 1/2)) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* k k) 1/8)) (* (* (log (* PI 2)) 1/4) (* (* k k) (log n))))))))) 1545816762.349 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1545816762.349 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1545816762.349 * * [misc]simplify: iters left: 6 (15 enodes) 1545816762.352 * * [misc]simplify: iters left: 5 (33 enodes) 1545816762.357 * * [misc]simplify: iters left: 4 (64 enodes) 1545816762.373 * * [misc]simplify: iters left: 3 (171 enodes) 1545816762.486 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1545816762.486 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1545816762.486 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1545816762.486 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1545816762.486 * * [misc]simplify: iters left: 6 (15 enodes) 1545816762.492 * * [misc]simplify: iters left: 5 (30 enodes) 1545816762.503 * * [misc]simplify: iters left: 4 (65 enodes) 1545816762.529 * * [misc]simplify: iters left: 3 (200 enodes) 1545816762.655 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1545816762.655 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1545816762.655 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1545816762.655 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816762.655 * * [misc]simplify: iters left: 4 (5 enodes) 1545816762.656 * * [misc]simplify: iters left: 3 (9 enodes) 1545816762.657 * * [misc]simplify: iters left: 2 (15 enodes) 1545816762.659 * * [misc]simplify: iters left: 1 (17 enodes) 1545816762.661 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816762.661 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545816762.661 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1545816762.661 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816762.661 * * [misc]simplify: iters left: 4 (5 enodes) 1545816762.662 * * [misc]simplify: iters left: 3 (9 enodes) 1545816762.663 * * [misc]simplify: iters left: 2 (15 enodes) 1545816762.667 * * [misc]simplify: iters left: 1 (17 enodes) 1545816762.670 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816762.671 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545816762.671 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1545816762.671 * [enter]simplify: Simplifying (* 2 (* n PI)) 1545816762.671 * * [misc]simplify: iters left: 4 (5 enodes) 1545816762.672 * * [misc]simplify: iters left: 3 (9 enodes) 1545816762.675 * * [misc]simplify: iters left: 2 (15 enodes) 1545816762.679 * * [misc]simplify: iters left: 1 (17 enodes) 1545816762.683 * [exit]simplify: Simplified to (* (* PI n) 2) 1545816762.683 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1545816762.683 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1545816762.684 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1545816762.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545816762.684 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1545816762.684 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1545816762.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545816762.684 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1545816762.684 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1545816762.684 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1545816762.684 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1545816762.685 * [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))))))))))))) 1545816762.685 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816762.685 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1545816762.685 * [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)))))))) 1545816762.685 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816762.685 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1545816762.685 * [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))))))))))) 1545816762.686 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816762.686 * * * [misc]progress: adding candidates to table 1545816764.399 * * [misc]progress: iteration 3 / 4 1545816764.399 * * * [misc]progress: picking best candidate 1545816764.461 * * * * [misc]pick: Picked # 1545816764.461 * * * [misc]progress: localizing error 1545816764.486 * * * [misc]progress: generating rewritten candidates 1545816764.486 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1545816764.489 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545816764.490 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545816764.499 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1545816764.514 * * * [misc]progress: generating series expansions 1545816764.515 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1545816764.515 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1545816764.515 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1545816764.515 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.515 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.515 * [misc]taylor: Taking taylor expansion of k in k 1545816764.515 * [misc]backup-simplify: Simplify 0 into 0 1545816764.515 * [misc]backup-simplify: Simplify 1 into 1 1545816764.515 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545816764.515 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.515 * [misc]backup-simplify: Simplify 2 into 2 1545816764.515 * [misc]taylor: Taking taylor expansion of n in k 1545816764.515 * [misc]backup-simplify: Simplify n into n 1545816764.515 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545816764.516 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545816764.516 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.516 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.516 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545816764.516 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545816764.516 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545816764.516 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545816764.516 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545816764.517 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.517 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.517 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.517 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.517 * [misc]taylor: Taking taylor expansion of k in n 1545816764.517 * [misc]backup-simplify: Simplify k into k 1545816764.517 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.517 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.517 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.517 * [misc]backup-simplify: Simplify 2 into 2 1545816764.517 * [misc]taylor: Taking taylor expansion of n in n 1545816764.517 * [misc]backup-simplify: Simplify 0 into 0 1545816764.517 * [misc]backup-simplify: Simplify 1 into 1 1545816764.517 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.518 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.518 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.518 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.518 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.518 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.518 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.519 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545816764.519 * [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)))) 1545816764.519 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.519 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.519 * [misc]taylor: Taking taylor expansion of k in n 1545816764.519 * [misc]backup-simplify: Simplify k into k 1545816764.519 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.519 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.519 * [misc]backup-simplify: Simplify 2 into 2 1545816764.519 * [misc]taylor: Taking taylor expansion of n in n 1545816764.519 * [misc]backup-simplify: Simplify 0 into 0 1545816764.519 * [misc]backup-simplify: Simplify 1 into 1 1545816764.520 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.520 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.520 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.520 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.520 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.520 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.521 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.521 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545816764.521 * [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)))) 1545816764.521 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545816764.521 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545816764.521 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545816764.521 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816764.521 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.522 * [misc]backup-simplify: Simplify 2 into 2 1545816764.522 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.522 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.522 * [misc]taylor: Taking taylor expansion of n in k 1545816764.522 * [misc]backup-simplify: Simplify n into n 1545816764.522 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.522 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.522 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.522 * [misc]taylor: Taking taylor expansion of k in k 1545816764.522 * [misc]backup-simplify: Simplify 0 into 0 1545816764.522 * [misc]backup-simplify: Simplify 1 into 1 1545816764.522 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545816764.522 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.523 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.523 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.523 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545816764.523 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545816764.524 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545816764.524 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.526 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.527 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816764.527 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.527 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.528 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545816764.529 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.529 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.529 * [misc]backup-simplify: Simplify 0 into 0 1545816764.529 * [misc]backup-simplify: Simplify 0 into 0 1545816764.529 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816764.529 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.530 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.533 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816764.533 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.534 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545816764.534 * [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))))) 1545816764.535 * [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))))) 1545816764.536 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816764.540 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816764.540 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.541 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.541 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545816764.548 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816764.548 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.548 * [misc]backup-simplify: Simplify 0 into 0 1545816764.548 * [misc]backup-simplify: Simplify 0 into 0 1545816764.548 * [misc]backup-simplify: Simplify 0 into 0 1545816764.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.549 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.553 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.555 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816764.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.555 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545816764.556 * [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))))) 1545816764.557 * [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))))) 1545816764.559 * [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))))) 1545816764.559 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.559 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545816764.559 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.559 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.559 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.559 * [misc]taylor: Taking taylor expansion of k in k 1545816764.559 * [misc]backup-simplify: Simplify 0 into 0 1545816764.559 * [misc]backup-simplify: Simplify 1 into 1 1545816764.560 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.560 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545816764.560 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545816764.560 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.560 * [misc]backup-simplify: Simplify 2 into 2 1545816764.560 * [misc]taylor: Taking taylor expansion of n in k 1545816764.560 * [misc]backup-simplify: Simplify n into n 1545816764.560 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545816764.560 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545816764.560 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.560 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.560 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.560 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545816764.560 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.560 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.560 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.560 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of k in n 1545816764.560 * [misc]backup-simplify: Simplify k into k 1545816764.560 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.560 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816764.560 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816764.561 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.561 * [misc]backup-simplify: Simplify 2 into 2 1545816764.561 * [misc]taylor: Taking taylor expansion of n in n 1545816764.561 * [misc]backup-simplify: Simplify 0 into 0 1545816764.561 * [misc]backup-simplify: Simplify 1 into 1 1545816764.561 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816764.561 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.561 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.561 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816764.561 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816764.561 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.561 * [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))) 1545816764.562 * [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)))) 1545816764.562 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.562 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.562 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.562 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of k in n 1545816764.562 * [misc]backup-simplify: Simplify k into k 1545816764.562 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.562 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816764.562 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.562 * [misc]backup-simplify: Simplify 2 into 2 1545816764.562 * [misc]taylor: Taking taylor expansion of n in n 1545816764.562 * [misc]backup-simplify: Simplify 0 into 0 1545816764.562 * [misc]backup-simplify: Simplify 1 into 1 1545816764.562 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816764.562 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.562 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.562 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816764.562 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816764.563 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.563 * [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))) 1545816764.563 * [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)))) 1545816764.563 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.563 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.563 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of k in k 1545816764.563 * [misc]backup-simplify: Simplify 0 into 0 1545816764.563 * [misc]backup-simplify: Simplify 1 into 1 1545816764.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.563 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.563 * [misc]backup-simplify: Simplify 2 into 2 1545816764.563 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.563 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.563 * [misc]taylor: Taking taylor expansion of n in k 1545816764.563 * [misc]backup-simplify: Simplify n into n 1545816764.564 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.564 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.564 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.564 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.564 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816764.564 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545816764.564 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545816764.564 * [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)))) 1545816764.565 * [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)))) 1545816764.565 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545816764.566 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816764.567 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.567 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.567 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545816764.568 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.568 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.568 * [misc]backup-simplify: Simplify 0 into 0 1545816764.568 * [misc]backup-simplify: Simplify 0 into 0 1545816764.568 * [misc]backup-simplify: Simplify 0 into 0 1545816764.568 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.571 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.571 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816764.572 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.572 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545816764.573 * [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 1545816764.573 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.573 * [misc]backup-simplify: Simplify 0 into 0 1545816764.573 * [misc]backup-simplify: Simplify 0 into 0 1545816764.574 * [misc]backup-simplify: Simplify 0 into 0 1545816764.574 * [misc]backup-simplify: Simplify 0 into 0 1545816764.574 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.578 * [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 1545816764.578 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816764.578 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.578 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.579 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545816764.581 * [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 1545816764.581 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.581 * [misc]backup-simplify: Simplify 0 into 0 1545816764.581 * [misc]backup-simplify: Simplify 0 into 0 1545816764.581 * [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)))) 1545816764.581 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.581 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545816764.581 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816764.581 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of k in k 1545816764.582 * [misc]backup-simplify: Simplify 0 into 0 1545816764.582 * [misc]backup-simplify: Simplify 1 into 1 1545816764.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.582 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545816764.582 * [misc]taylor: Taking taylor expansion of -2 in k 1545816764.582 * [misc]backup-simplify: Simplify -2 into -2 1545816764.582 * [misc]taylor: Taking taylor expansion of n in k 1545816764.582 * [misc]backup-simplify: Simplify n into n 1545816764.582 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545816764.582 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545816764.582 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.582 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545816764.582 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.582 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.582 * [misc]taylor: Taking taylor expansion of k in n 1545816764.583 * [misc]backup-simplify: Simplify k into k 1545816764.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.583 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816764.583 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816764.583 * [misc]taylor: Taking taylor expansion of -2 in n 1545816764.583 * [misc]backup-simplify: Simplify -2 into -2 1545816764.583 * [misc]taylor: Taking taylor expansion of n in n 1545816764.583 * [misc]backup-simplify: Simplify 0 into 0 1545816764.583 * [misc]backup-simplify: Simplify 1 into 1 1545816764.583 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816764.583 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.583 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.583 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816764.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.583 * [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))) 1545816764.584 * [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)))) 1545816764.584 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of k in n 1545816764.584 * [misc]backup-simplify: Simplify k into k 1545816764.584 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.584 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816764.584 * [misc]taylor: Taking taylor expansion of -2 in n 1545816764.584 * [misc]backup-simplify: Simplify -2 into -2 1545816764.584 * [misc]taylor: Taking taylor expansion of n in n 1545816764.584 * [misc]backup-simplify: Simplify 0 into 0 1545816764.584 * [misc]backup-simplify: Simplify 1 into 1 1545816764.584 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816764.584 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.584 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.584 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816764.585 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.585 * [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))) 1545816764.585 * [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)))) 1545816764.585 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.585 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of k in k 1545816764.585 * [misc]backup-simplify: Simplify 0 into 0 1545816764.585 * [misc]backup-simplify: Simplify 1 into 1 1545816764.585 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.585 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.585 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.585 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545816764.585 * [misc]taylor: Taking taylor expansion of -2 in k 1545816764.585 * [misc]backup-simplify: Simplify -2 into -2 1545816764.585 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.585 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.586 * [misc]taylor: Taking taylor expansion of n in k 1545816764.586 * [misc]backup-simplify: Simplify n into n 1545816764.586 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.586 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.586 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.586 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816764.586 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545816764.586 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545816764.586 * [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)))) 1545816764.586 * [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)))) 1545816764.587 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545816764.588 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545816764.588 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.589 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816764.589 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.589 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.589 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545816764.590 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.590 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.590 * [misc]backup-simplify: Simplify 0 into 0 1545816764.590 * [misc]backup-simplify: Simplify 0 into 0 1545816764.590 * [misc]backup-simplify: Simplify 0 into 0 1545816764.590 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.594 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545816764.595 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.595 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816764.595 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.595 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.596 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545816764.598 * [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 1545816764.598 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.598 * [misc]backup-simplify: Simplify 0 into 0 1545816764.598 * [misc]backup-simplify: Simplify 0 into 0 1545816764.598 * [misc]backup-simplify: Simplify 0 into 0 1545816764.598 * [misc]backup-simplify: Simplify 0 into 0 1545816764.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.606 * [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 1545816764.606 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.607 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816764.607 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.608 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.608 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1545816764.612 * [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 1545816764.612 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.612 * [misc]backup-simplify: Simplify 0 into 0 1545816764.612 * [misc]backup-simplify: Simplify 0 into 0 1545816764.613 * [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))))) 1545816764.613 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545816764.613 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545816764.613 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545816764.613 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.613 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.613 * [misc]taylor: Taking taylor expansion of k in k 1545816764.613 * [misc]backup-simplify: Simplify 0 into 0 1545816764.613 * [misc]backup-simplify: Simplify 1 into 1 1545816764.613 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.613 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.614 * [misc]backup-simplify: Simplify PI into PI 1545816764.614 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.614 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.614 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.614 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.615 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.616 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816764.616 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.616 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.616 * [misc]taylor: Taking taylor expansion of k in k 1545816764.616 * [misc]backup-simplify: Simplify 0 into 0 1545816764.616 * [misc]backup-simplify: Simplify 1 into 1 1545816764.616 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.616 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.616 * [misc]backup-simplify: Simplify PI into PI 1545816764.616 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.617 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.617 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.617 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.617 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.618 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816764.618 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545816764.621 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816764.622 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816764.622 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.622 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.623 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545816764.626 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545816764.627 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545816764.632 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545816764.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.632 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545816764.638 * [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))) 1545816764.640 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545816764.643 * [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)))) 1545816764.643 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.643 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545816764.643 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.643 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.643 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.643 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.643 * [misc]taylor: Taking taylor expansion of k in k 1545816764.643 * [misc]backup-simplify: Simplify 0 into 0 1545816764.643 * [misc]backup-simplify: Simplify 1 into 1 1545816764.644 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.644 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.644 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.644 * [misc]backup-simplify: Simplify PI into PI 1545816764.644 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.644 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.644 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.645 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.645 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816764.645 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.645 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.646 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.646 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of k in k 1545816764.646 * [misc]backup-simplify: Simplify 0 into 0 1545816764.646 * [misc]backup-simplify: Simplify 1 into 1 1545816764.646 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.646 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.646 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.646 * [misc]backup-simplify: Simplify PI into PI 1545816764.646 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.646 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.647 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.647 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.647 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816764.648 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.648 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify 0 into 0 1545816764.648 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545816764.648 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.648 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545816764.648 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of k in k 1545816764.649 * [misc]backup-simplify: Simplify 0 into 0 1545816764.649 * [misc]backup-simplify: Simplify 1 into 1 1545816764.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.649 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.649 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.649 * [misc]backup-simplify: Simplify PI into PI 1545816764.649 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.650 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.650 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.650 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.650 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.651 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of k in k 1545816764.651 * [misc]backup-simplify: Simplify 0 into 0 1545816764.651 * [misc]backup-simplify: Simplify 1 into 1 1545816764.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.651 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.651 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.651 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.651 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.651 * [misc]backup-simplify: Simplify PI into PI 1545816764.651 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.652 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.652 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.652 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.653 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.653 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify 0 into 0 1545816764.653 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545816764.653 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545816764.654 * [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))) 1545816764.654 * [misc]approximate: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in (n k) around 0 1545816764.654 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.654 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.654 * [misc]taylor: Taking taylor expansion of k in k 1545816764.654 * [misc]backup-simplify: Simplify 0 into 0 1545816764.654 * [misc]backup-simplify: Simplify 1 into 1 1545816764.654 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545816764.654 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.654 * [misc]backup-simplify: Simplify 2 into 2 1545816764.654 * [misc]taylor: Taking taylor expansion of n in k 1545816764.654 * [misc]backup-simplify: Simplify n into n 1545816764.654 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545816764.654 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545816764.655 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.655 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.655 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.655 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545816764.655 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545816764.655 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816764.655 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.655 * [misc]taylor: Taking taylor expansion of k in k 1545816764.655 * [misc]backup-simplify: Simplify 0 into 0 1545816764.655 * [misc]backup-simplify: Simplify 1 into 1 1545816764.656 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.656 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.656 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.656 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545816764.656 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545816764.656 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.657 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.657 * [misc]taylor: Taking taylor expansion of k in n 1545816764.657 * [misc]backup-simplify: Simplify k into k 1545816764.657 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.657 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.657 * [misc]backup-simplify: Simplify 2 into 2 1545816764.657 * [misc]taylor: Taking taylor expansion of n in n 1545816764.657 * [misc]backup-simplify: Simplify 0 into 0 1545816764.657 * [misc]backup-simplify: Simplify 1 into 1 1545816764.657 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.657 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.658 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.658 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.658 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.658 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.658 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.658 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545816764.659 * [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)))) 1545816764.659 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of k in n 1545816764.659 * [misc]backup-simplify: Simplify k into k 1545816764.659 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.659 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816764.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.659 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816764.659 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (sqrt (/ 1 k))) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.659 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.660 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.660 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.660 * [misc]taylor: Taking taylor expansion of k in n 1545816764.660 * [misc]backup-simplify: Simplify k into k 1545816764.660 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.660 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.660 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.660 * [misc]backup-simplify: Simplify 2 into 2 1545816764.660 * [misc]taylor: Taking taylor expansion of n in n 1545816764.660 * [misc]backup-simplify: Simplify 0 into 0 1545816764.660 * [misc]backup-simplify: Simplify 1 into 1 1545816764.660 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.660 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.660 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.660 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.661 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.661 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.661 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.661 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545816764.662 * [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)))) 1545816764.662 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816764.662 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.662 * [misc]taylor: Taking taylor expansion of k in n 1545816764.662 * [misc]backup-simplify: Simplify k into k 1545816764.662 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.662 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816764.662 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.662 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816764.663 * [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))) 1545816764.663 * [misc]taylor: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.663 * [misc]backup-simplify: Simplify 2 into 2 1545816764.663 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.663 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of n in k 1545816764.663 * [misc]backup-simplify: Simplify n into n 1545816764.663 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.663 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.663 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.663 * [misc]taylor: Taking taylor expansion of k in k 1545816764.663 * [misc]backup-simplify: Simplify 0 into 0 1545816764.663 * [misc]backup-simplify: Simplify 1 into 1 1545816764.664 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1545816764.664 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.664 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.664 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.664 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1545816764.665 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1545816764.665 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816764.665 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.665 * [misc]taylor: Taking taylor expansion of k in k 1545816764.665 * [misc]backup-simplify: Simplify 0 into 0 1545816764.665 * [misc]backup-simplify: Simplify 1 into 1 1545816764.665 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.665 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.666 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.666 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0 1545816764.666 * [misc]backup-simplify: Simplify 0 into 0 1545816764.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.669 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816764.669 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.670 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.670 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1545816764.671 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.672 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545816764.672 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.672 * [misc]backup-simplify: Simplify 0 into 0 1545816764.672 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816764.672 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.675 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.676 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816764.676 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.676 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1545816764.677 * [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))))) 1545816764.678 * [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)))))) 1545816764.678 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) into (- (* +nan.0 (exp (* 1/2 (+ (log 2) (log n)))))) 1545816764.679 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.680 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545816764.680 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816764.684 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816764.685 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.685 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.685 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.686 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1545816764.688 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816764.688 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545816764.688 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.689 * [misc]backup-simplify: Simplify 0 into 0 1545816764.689 * [misc]backup-simplify: Simplify 0 into 0 1545816764.689 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816764.690 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816764.690 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.690 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.691 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.695 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.698 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816764.698 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.698 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545816764.700 * [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))))) 1545816764.703 * [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)))))))))) 1545816764.704 * [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)))))))))) 1545816764.704 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.705 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545816764.705 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1545816764.712 * [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 1545816764.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545816764.713 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.713 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.714 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1545816764.717 * [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 1545816764.718 * [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 1545816764.718 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.718 * [misc]backup-simplify: Simplify 0 into 0 1545816764.718 * [misc]backup-simplify: Simplify 0 into 0 1545816764.718 * [misc]backup-simplify: Simplify 0 into 0 1545816764.718 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.719 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816764.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816764.720 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.720 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.727 * [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 1545816764.730 * [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 1545816764.730 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.731 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545816764.733 * [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)))))) 1545816764.739 * [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))))))))))))))) 1545816764.743 * [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))))))))))))))) 1545816764.751 * [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)))))))))))))))))))))) 1545816764.751 * [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)) 1545816764.751 * [misc]approximate: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (n k) around 0 1545816764.751 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k 1545816764.751 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816764.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545816764.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545816764.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.751 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.752 * [misc]taylor: Taking taylor expansion of k in k 1545816764.752 * [misc]backup-simplify: Simplify 0 into 0 1545816764.752 * [misc]backup-simplify: Simplify 1 into 1 1545816764.752 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.752 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545816764.752 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545816764.752 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.752 * [misc]backup-simplify: Simplify 2 into 2 1545816764.752 * [misc]taylor: Taking taylor expansion of n in k 1545816764.752 * [misc]backup-simplify: Simplify n into n 1545816764.752 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545816764.752 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545816764.752 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.753 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.753 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.753 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545816764.753 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816764.753 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816764.753 * [misc]taylor: Taking taylor expansion of k in k 1545816764.753 * [misc]backup-simplify: Simplify 0 into 0 1545816764.753 * [misc]backup-simplify: Simplify 1 into 1 1545816764.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.754 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.754 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of k in n 1545816764.754 * [misc]backup-simplify: Simplify k into k 1545816764.754 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.754 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816764.754 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.754 * [misc]backup-simplify: Simplify 2 into 2 1545816764.755 * [misc]taylor: Taking taylor expansion of n in n 1545816764.755 * [misc]backup-simplify: Simplify 0 into 0 1545816764.755 * [misc]backup-simplify: Simplify 1 into 1 1545816764.755 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816764.755 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.755 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.755 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816764.755 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816764.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.756 * [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))) 1545816764.756 * [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)))) 1545816764.756 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816764.756 * [misc]taylor: Taking taylor expansion of k in n 1545816764.756 * [misc]backup-simplify: Simplify k into k 1545816764.756 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816764.756 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816764.757 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.757 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.757 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.757 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of k in n 1545816764.757 * [misc]backup-simplify: Simplify k into k 1545816764.757 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.757 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816764.757 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.757 * [misc]backup-simplify: Simplify 2 into 2 1545816764.757 * [misc]taylor: Taking taylor expansion of n in n 1545816764.757 * [misc]backup-simplify: Simplify 0 into 0 1545816764.757 * [misc]backup-simplify: Simplify 1 into 1 1545816764.757 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816764.758 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.758 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.758 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816764.758 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816764.758 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.759 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1545816764.759 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545816764.759 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816764.759 * [misc]taylor: Taking taylor expansion of k in n 1545816764.759 * [misc]backup-simplify: Simplify k into k 1545816764.759 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816764.759 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816764.760 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (sqrt k)) into (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1545816764.760 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k 1545816764.760 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816764.760 * [misc]taylor: Taking taylor expansion of k in k 1545816764.760 * [misc]backup-simplify: Simplify 0 into 0 1545816764.760 * [misc]backup-simplify: Simplify 1 into 1 1545816764.760 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.760 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1545816764.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1545816764.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816764.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.761 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.761 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.761 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.761 * [misc]taylor: Taking taylor expansion of k in k 1545816764.761 * [misc]backup-simplify: Simplify 0 into 0 1545816764.761 * [misc]backup-simplify: Simplify 1 into 1 1545816764.761 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.761 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1545816764.761 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816764.761 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.761 * [misc]backup-simplify: Simplify 2 into 2 1545816764.761 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.761 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.761 * [misc]taylor: Taking taylor expansion of n in k 1545816764.762 * [misc]backup-simplify: Simplify n into n 1545816764.762 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.762 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.762 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.762 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.762 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816764.762 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1545816764.763 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1545816764.763 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1545816764.763 * [misc]backup-simplify: Simplify (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into 0 1545816764.763 * [misc]backup-simplify: Simplify 0 into 0 1545816764.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545816764.766 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.766 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816764.767 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.767 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.767 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.768 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545816764.769 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.769 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (* 0 (sqrt k))) into 0 1545816764.770 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.770 * [misc]backup-simplify: Simplify 0 into 0 1545816764.770 * [misc]backup-simplify: Simplify 0 into 0 1545816764.770 * [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)))))) 1545816764.771 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545816764.771 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545816764.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.776 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816764.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816764.777 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.778 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1545816764.780 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816764.780 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545816764.780 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.781 * [misc]backup-simplify: Simplify 0 into 0 1545816764.781 * [misc]backup-simplify: Simplify 0 into 0 1545816764.781 * [misc]backup-simplify: Simplify 0 into 0 1545816764.782 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816764.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545816764.783 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545816764.784 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545816764.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.791 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545816764.791 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.792 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816764.792 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.792 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.792 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816764.793 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1545816764.796 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816764.797 * [misc]backup-simplify: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545816764.797 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.797 * [misc]backup-simplify: Simplify 0 into 0 1545816764.797 * [misc]backup-simplify: Simplify 0 into 0 1545816764.797 * [misc]backup-simplify: Simplify 0 into 0 1545816764.797 * [misc]backup-simplify: Simplify 0 into 0 1545816764.798 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816764.799 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545816764.800 * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1545816764.801 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1545816764.802 * [misc]backup-simplify: Simplify (/ (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1545816764.802 * [misc]approximate: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1545816764.802 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.802 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.802 * [misc]taylor: Taking taylor expansion of k in k 1545816764.802 * [misc]backup-simplify: Simplify 0 into 0 1545816764.802 * [misc]backup-simplify: Simplify 1 into 1 1545816764.802 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.802 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.803 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.803 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545816764.803 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545816764.803 * [misc]taylor: Taking taylor expansion of -2 in k 1545816764.803 * [misc]backup-simplify: Simplify -2 into -2 1545816764.803 * [misc]taylor: Taking taylor expansion of n in k 1545816764.803 * [misc]backup-simplify: Simplify n into n 1545816764.803 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545816764.803 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545816764.803 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.803 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.803 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545816764.803 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816764.803 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816764.804 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816764.804 * [misc]taylor: Taking taylor expansion of -1 in k 1545816764.804 * [misc]backup-simplify: Simplify -1 into -1 1545816764.804 * [misc]taylor: Taking taylor expansion of k in k 1545816764.804 * [misc]backup-simplify: Simplify 0 into 0 1545816764.804 * [misc]backup-simplify: Simplify 1 into 1 1545816764.804 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816764.804 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.805 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816764.805 * [misc]backup-simplify: Simplify (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816764.805 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.805 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of k in n 1545816764.805 * [misc]backup-simplify: Simplify k into k 1545816764.805 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.805 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.805 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.805 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816764.805 * [misc]taylor: Taking taylor expansion of -2 in n 1545816764.805 * [misc]backup-simplify: Simplify -2 into -2 1545816764.805 * [misc]taylor: Taking taylor expansion of n in n 1545816764.805 * [misc]backup-simplify: Simplify 0 into 0 1545816764.805 * [misc]backup-simplify: Simplify 1 into 1 1545816764.806 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816764.806 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.806 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.806 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816764.806 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.807 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545816764.807 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545816764.807 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816764.807 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816764.807 * [misc]taylor: Taking taylor expansion of -1 in n 1545816764.807 * [misc]backup-simplify: Simplify -1 into -1 1545816764.807 * [misc]taylor: Taking taylor expansion of k in n 1545816764.807 * [misc]backup-simplify: Simplify k into k 1545816764.807 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816764.807 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816764.807 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816764.808 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816764.808 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545816764.808 * [misc]taylor: Taking taylor expansion of (/ (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.808 * [misc]taylor: Taking taylor expansion of k in n 1545816764.808 * [misc]backup-simplify: Simplify k into k 1545816764.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.809 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816764.809 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816764.809 * [misc]taylor: Taking taylor expansion of -2 in n 1545816764.809 * [misc]backup-simplify: Simplify -2 into -2 1545816764.809 * [misc]taylor: Taking taylor expansion of n in n 1545816764.809 * [misc]backup-simplify: Simplify 0 into 0 1545816764.809 * [misc]backup-simplify: Simplify 1 into 1 1545816764.809 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816764.809 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816764.809 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816764.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.810 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545816764.810 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545816764.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816764.810 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816764.810 * [misc]taylor: Taking taylor expansion of -1 in n 1545816764.810 * [misc]backup-simplify: Simplify -1 into -1 1545816764.810 * [misc]taylor: Taking taylor expansion of k in n 1545816764.810 * [misc]backup-simplify: Simplify k into k 1545816764.810 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816764.811 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816764.811 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816764.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816764.811 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) 1545816764.811 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) in k 1545816764.811 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1545816764.811 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1545816764.811 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816764.811 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816764.811 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.811 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.812 * [misc]taylor: Taking taylor expansion of k in k 1545816764.812 * [misc]backup-simplify: Simplify 0 into 0 1545816764.812 * [misc]backup-simplify: Simplify 1 into 1 1545816764.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.812 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.812 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1545816764.812 * [misc]taylor: Taking taylor expansion of (log -2) in k 1545816764.812 * [misc]taylor: Taking taylor expansion of -2 in k 1545816764.812 * [misc]backup-simplify: Simplify -2 into -2 1545816764.812 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816764.812 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816764.812 * [misc]taylor: Taking taylor expansion of n in k 1545816764.812 * [misc]backup-simplify: Simplify n into n 1545816764.812 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816764.812 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816764.813 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.813 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816764.813 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1545816764.813 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1545816764.813 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545816764.813 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816764.813 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816764.813 * [misc]taylor: Taking taylor expansion of -1 in k 1545816764.813 * [misc]backup-simplify: Simplify -1 into -1 1545816764.814 * [misc]taylor: Taking taylor expansion of k in k 1545816764.814 * [misc]backup-simplify: Simplify 0 into 0 1545816764.814 * [misc]backup-simplify: Simplify 1 into 1 1545816764.814 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816764.814 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.814 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816764.815 * [misc]backup-simplify: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545816764.815 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1545816764.815 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545816764.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545816764.818 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.818 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816764.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.819 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545816764.820 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816764.821 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545816764.821 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.821 * [misc]backup-simplify: Simplify 0 into 0 1545816764.821 * [misc]backup-simplify: Simplify 0 into 0 1545816764.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816764.823 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816764.823 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) 1545816764.824 * [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)))))) 1545816764.824 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.828 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1545816764.828 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.828 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816764.828 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.829 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816764.829 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1545816764.830 * [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 1545816764.830 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816764.831 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545816764.831 * [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 1545816764.831 * [misc]taylor: Taking taylor expansion of 0 in k 1545816764.831 * [misc]backup-simplify: Simplify 0 into 0 1545816764.831 * [misc]backup-simplify: Simplify 0 into 0 1545816764.831 * [misc]backup-simplify: Simplify 0 into 0 1545816764.831 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.832 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816764.833 * [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)))))) 1545816764.833 * [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)))))) 1545816764.834 * [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))))))) 1545816764.834 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1545816764.834 * [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))) 1545816764.834 * [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 1545816764.834 * [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 1545816764.834 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.834 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.834 * [misc]taylor: Taking taylor expansion of k in n 1545816764.835 * [misc]backup-simplify: Simplify k into k 1545816764.835 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.835 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.835 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.835 * [misc]backup-simplify: Simplify 2 into 2 1545816764.835 * [misc]taylor: Taking taylor expansion of n in n 1545816764.835 * [misc]backup-simplify: Simplify 0 into 0 1545816764.835 * [misc]backup-simplify: Simplify 1 into 1 1545816764.835 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.835 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.835 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.835 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.835 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.835 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.835 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.835 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1545816764.836 * [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)))) 1545816764.836 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.836 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816764.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.836 * [misc]taylor: Taking taylor expansion of k in n 1545816764.836 * [misc]backup-simplify: Simplify k into k 1545816764.836 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816764.836 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.836 * [misc]backup-simplify: Simplify PI into PI 1545816764.836 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.836 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816764.836 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816764.836 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816764.836 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1545816764.837 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1545816764.837 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816764.837 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816764.837 * [misc]taylor: Taking taylor expansion of k in n 1545816764.837 * [misc]backup-simplify: Simplify k into k 1545816764.837 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816764.837 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816764.837 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816764.837 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816764.837 * [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 1545816764.837 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.837 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.837 * [misc]taylor: Taking taylor expansion of k in k 1545816764.837 * [misc]backup-simplify: Simplify 0 into 0 1545816764.837 * [misc]backup-simplify: Simplify 1 into 1 1545816764.837 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545816764.837 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.837 * [misc]backup-simplify: Simplify 2 into 2 1545816764.837 * [misc]taylor: Taking taylor expansion of n in k 1545816764.837 * [misc]backup-simplify: Simplify n into n 1545816764.837 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545816764.837 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545816764.837 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.838 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.838 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.838 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545816764.838 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545816764.838 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.838 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.838 * [misc]taylor: Taking taylor expansion of k in k 1545816764.838 * [misc]backup-simplify: Simplify 0 into 0 1545816764.838 * [misc]backup-simplify: Simplify 1 into 1 1545816764.838 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.838 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.838 * [misc]backup-simplify: Simplify PI into PI 1545816764.838 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.838 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.838 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.838 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.839 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.839 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816764.839 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816764.839 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.839 * [misc]taylor: Taking taylor expansion of k in k 1545816764.839 * [misc]backup-simplify: Simplify 0 into 0 1545816764.839 * [misc]backup-simplify: Simplify 1 into 1 1545816764.839 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.840 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.840 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.840 * [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 1545816764.840 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.840 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.840 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.840 * [misc]taylor: Taking taylor expansion of k in k 1545816764.840 * [misc]backup-simplify: Simplify 0 into 0 1545816764.840 * [misc]backup-simplify: Simplify 1 into 1 1545816764.840 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1545816764.840 * [misc]taylor: Taking taylor expansion of 2 in k 1545816764.840 * [misc]backup-simplify: Simplify 2 into 2 1545816764.840 * [misc]taylor: Taking taylor expansion of n in k 1545816764.840 * [misc]backup-simplify: Simplify n into n 1545816764.840 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1545816764.840 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1545816764.840 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.840 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.840 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.841 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1545816764.841 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1545816764.841 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.841 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816764.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816764.841 * [misc]taylor: Taking taylor expansion of k in k 1545816764.841 * [misc]backup-simplify: Simplify 0 into 0 1545816764.841 * [misc]backup-simplify: Simplify 1 into 1 1545816764.841 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816764.841 * [misc]taylor: Taking taylor expansion of PI in k 1545816764.841 * [misc]backup-simplify: Simplify PI into PI 1545816764.841 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.841 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816764.841 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.841 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816764.842 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816764.842 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816764.842 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816764.842 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816764.842 * [misc]taylor: Taking taylor expansion of k in k 1545816764.842 * [misc]backup-simplify: Simplify 0 into 0 1545816764.842 * [misc]backup-simplify: Simplify 1 into 1 1545816764.842 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816764.842 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.843 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816764.843 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1545816764.843 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1545816764.843 * [misc]taylor: Taking taylor expansion of 0 in n 1545816764.843 * [misc]backup-simplify: Simplify 0 into 0 1545816764.843 * [misc]backup-simplify: Simplify 0 into 0 1545816764.844 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816764.844 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816764.845 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.845 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545816764.848 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545816764.848 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1545816764.849 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1545816764.849 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816764.849 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816764.849 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816764.849 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1545816764.849 * [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)))) 1545816764.850 * [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)))))) 1545816764.851 * [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))))) 1545816764.851 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.851 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.851 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.851 * [misc]backup-simplify: Simplify 2 into 2 1545816764.851 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.851 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.851 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816764.851 * [misc]taylor: Taking taylor expansion of n in n 1545816764.851 * [misc]backup-simplify: Simplify 0 into 0 1545816764.852 * [misc]backup-simplify: Simplify 1 into 1 1545816764.852 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.852 * [misc]backup-simplify: Simplify PI into PI 1545816764.852 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816764.852 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816764.852 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.852 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.853 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816764.853 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.853 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.853 * [misc]backup-simplify: Simplify 0 into 0 1545816764.853 * [misc]backup-simplify: Simplify 0 into 0 1545816764.853 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816764.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816764.856 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545816764.856 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545816764.860 * [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))) 1545816764.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1545816764.862 * [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 1545816764.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.862 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.863 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1545816764.864 * [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))) 1545816764.867 * [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))))))) 1545816764.871 * [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))))))))) 1545816764.871 * [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 1545816764.871 * [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 1545816764.871 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545816764.871 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.871 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.871 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545816764.871 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545816764.871 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.871 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.871 * [misc]backup-simplify: Simplify 2 into 2 1545816764.872 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.872 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.872 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816764.872 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.872 * [misc]backup-simplify: Simplify PI into PI 1545816764.872 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.872 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.872 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.872 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.872 * [misc]backup-simplify: Simplify PI into PI 1545816764.872 * [misc]taylor: Taking taylor expansion of n in n 1545816764.872 * [misc]backup-simplify: Simplify 0 into 0 1545816764.873 * [misc]backup-simplify: Simplify 1 into 1 1545816764.873 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.873 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.874 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.874 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.874 * [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 1545816764.874 * [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 1545816764.874 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816764.874 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.874 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.874 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816764.874 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.874 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.874 * [misc]backup-simplify: Simplify 2 into 2 1545816764.874 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.875 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.875 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816764.875 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816764.875 * [misc]taylor: Taking taylor expansion of n in n 1545816764.875 * [misc]backup-simplify: Simplify 0 into 0 1545816764.875 * [misc]backup-simplify: Simplify 1 into 1 1545816764.875 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.875 * [misc]backup-simplify: Simplify PI into PI 1545816764.875 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816764.876 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816764.876 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.876 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.876 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545816764.876 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545816764.876 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.876 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.877 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545816764.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545816764.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.877 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.877 * [misc]backup-simplify: Simplify 2 into 2 1545816764.877 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.877 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.877 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.877 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.877 * [misc]backup-simplify: Simplify 2 into 2 1545816764.877 * [misc]taylor: Taking taylor expansion of n in n 1545816764.877 * [misc]backup-simplify: Simplify 0 into 0 1545816764.877 * [misc]backup-simplify: Simplify 1 into 1 1545816764.877 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.878 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.878 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.878 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.878 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.878 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.878 * [misc]backup-simplify: Simplify PI into PI 1545816764.878 * [misc]taylor: Taking taylor expansion of n in n 1545816764.878 * [misc]backup-simplify: Simplify 0 into 0 1545816764.878 * [misc]backup-simplify: Simplify 1 into 1 1545816764.878 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.879 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.879 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.880 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545816764.881 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545816764.881 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.881 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816764.881 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.882 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.882 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545816764.882 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.883 * [misc]backup-simplify: Simplify 0 into 0 1545816764.884 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.886 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.888 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.889 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.889 * [misc]backup-simplify: Simplify 0 into 0 1545816764.889 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816764.890 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816764.897 * [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 1545816764.898 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816764.898 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.900 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1545816764.907 * [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))) 1545816764.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1545816764.910 * [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 1545816764.910 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816764.910 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.911 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.911 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1545816764.913 * [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))) 1545816764.918 * [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))))))))) 1545816764.926 * [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))))))))))))))) 1545816764.926 * [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 1545816764.926 * [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 1545816764.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.927 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.927 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.927 * [misc]backup-simplify: Simplify 2 into 2 1545816764.927 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.927 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.927 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.927 * [misc]backup-simplify: Simplify PI into PI 1545816764.927 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.927 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.927 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.927 * [misc]backup-simplify: Simplify PI into PI 1545816764.927 * [misc]taylor: Taking taylor expansion of n in n 1545816764.927 * [misc]backup-simplify: Simplify 0 into 0 1545816764.927 * [misc]backup-simplify: Simplify 1 into 1 1545816764.927 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.928 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.928 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.928 * [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 1545816764.928 * [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 1545816764.928 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1545816764.928 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.928 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.928 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1545816764.928 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1545816764.928 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.928 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.928 * [misc]backup-simplify: Simplify 2 into 2 1545816764.929 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.929 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1545816764.929 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816764.929 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.929 * [misc]backup-simplify: Simplify PI into PI 1545816764.929 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.929 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.929 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.929 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.929 * [misc]backup-simplify: Simplify PI into PI 1545816764.929 * [misc]taylor: Taking taylor expansion of n in n 1545816764.929 * [misc]backup-simplify: Simplify 0 into 0 1545816764.929 * [misc]backup-simplify: Simplify 1 into 1 1545816764.929 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.930 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.930 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.930 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.930 * [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 1545816764.930 * [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 1545816764.930 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.930 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.930 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.930 * [misc]backup-simplify: Simplify 2 into 2 1545816764.930 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.930 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.930 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.930 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.930 * [misc]backup-simplify: Simplify 2 into 2 1545816764.930 * [misc]taylor: Taking taylor expansion of n in n 1545816764.931 * [misc]backup-simplify: Simplify 0 into 0 1545816764.931 * [misc]backup-simplify: Simplify 1 into 1 1545816764.931 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.931 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.931 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.931 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.931 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.931 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.931 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.931 * [misc]backup-simplify: Simplify PI into PI 1545816764.931 * [misc]taylor: Taking taylor expansion of n in n 1545816764.931 * [misc]backup-simplify: Simplify 0 into 0 1545816764.931 * [misc]backup-simplify: Simplify 1 into 1 1545816764.931 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.932 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.932 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.932 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.932 * [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 1545816764.932 * [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 1545816764.932 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1545816764.932 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.932 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.932 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1545816764.932 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1545816764.932 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.932 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.932 * [misc]backup-simplify: Simplify 2 into 2 1545816764.932 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.933 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.933 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.933 * [misc]backup-simplify: Simplify 2 into 2 1545816764.933 * [misc]taylor: Taking taylor expansion of n in n 1545816764.933 * [misc]backup-simplify: Simplify 0 into 0 1545816764.933 * [misc]backup-simplify: Simplify 1 into 1 1545816764.933 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.933 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.933 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.933 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.933 * [misc]backup-simplify: Simplify PI into PI 1545816764.933 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816764.933 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816764.933 * [misc]taylor: Taking taylor expansion of n in n 1545816764.933 * [misc]backup-simplify: Simplify 0 into 0 1545816764.933 * [misc]backup-simplify: Simplify 1 into 1 1545816764.933 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.933 * [misc]backup-simplify: Simplify PI into PI 1545816764.933 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816764.934 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816764.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.934 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.934 * [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 1545816764.934 * [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 1545816764.934 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1545816764.934 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.934 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.934 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1545816764.934 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.934 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.934 * [misc]backup-simplify: Simplify 2 into 2 1545816764.934 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.935 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.935 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1545816764.935 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1545816764.935 * [misc]taylor: Taking taylor expansion of n in n 1545816764.935 * [misc]backup-simplify: Simplify 0 into 0 1545816764.935 * [misc]backup-simplify: Simplify 1 into 1 1545816764.935 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.935 * [misc]backup-simplify: Simplify PI into PI 1545816764.935 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1545816764.935 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1545816764.935 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.936 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.936 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816764.936 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816764.936 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.936 * [misc]backup-simplify: Simplify 2 into 2 1545816764.936 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1545816764.936 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1545816764.936 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of 2 in n 1545816764.936 * [misc]backup-simplify: Simplify 2 into 2 1545816764.936 * [misc]taylor: Taking taylor expansion of n in n 1545816764.936 * [misc]backup-simplify: Simplify 0 into 0 1545816764.936 * [misc]backup-simplify: Simplify 1 into 1 1545816764.936 * [misc]backup-simplify: Simplify (* 2 0) into 0 1545816764.936 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1545816764.936 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816764.936 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1545816764.936 * [misc]taylor: Taking taylor expansion of PI in n 1545816764.937 * [misc]backup-simplify: Simplify PI into PI 1545816764.937 * [misc]taylor: Taking taylor expansion of n in n 1545816764.937 * [misc]backup-simplify: Simplify 0 into 0 1545816764.937 * [misc]backup-simplify: Simplify 1 into 1 1545816764.937 * [misc]backup-simplify: Simplify (* PI 0) into 0 1545816764.937 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1545816764.937 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816764.937 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1545816764.938 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1545816764.939 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1545816764.939 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.939 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1545816764.940 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1545816764.940 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1545816764.941 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.941 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.941 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.941 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1545816764.942 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1545816764.942 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1545816764.942 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.942 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.942 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1545816764.943 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1545816764.943 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1545816764.943 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.943 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1545816764.944 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.944 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.944 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1545816764.944 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1545816764.944 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1545816764.944 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify (- 0) into 0 1545816764.945 * [misc]backup-simplify: Simplify 0 into 0 1545816764.947 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816764.947 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1545816764.948 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545816764.950 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1545816764.950 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.952 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1545816764.952 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1545816764.953 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816764.953 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1545816764.953 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1545816764.954 * [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)))))) 1545816764.955 * [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)))))) 1545816764.956 * [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)))))) 1545816764.958 * [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))))))) 1545816764.960 * [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))))))) 1545816764.963 * [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))))))))) 1545816764.971 * [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))))))))) 1545816764.977 * [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))))))))) 1545816764.978 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1545816764.980 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1545816764.981 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1545816764.984 * [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)))) 1545816764.988 * [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)))) 1545816764.990 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545816764.992 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1545816765.002 * [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))))))))))))))) 1545816765.003 * [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)) 1545816765.003 * [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 1545816765.003 * [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 1545816765.003 * [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 1545816765.003 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of k in n 1545816765.003 * [misc]backup-simplify: Simplify k into k 1545816765.003 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.003 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.003 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.003 * [misc]backup-simplify: Simplify PI into PI 1545816765.004 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.004 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.004 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.004 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.004 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545816765.005 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.005 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of k in n 1545816765.005 * [misc]backup-simplify: Simplify k into k 1545816765.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.005 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816765.005 * [misc]taylor: Taking taylor expansion of 2 in n 1545816765.005 * [misc]backup-simplify: Simplify 2 into 2 1545816765.005 * [misc]taylor: Taking taylor expansion of n in n 1545816765.005 * [misc]backup-simplify: Simplify 0 into 0 1545816765.005 * [misc]backup-simplify: Simplify 1 into 1 1545816765.006 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816765.006 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816765.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.006 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.006 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.007 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816765.007 * [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))) 1545816765.007 * [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)))) 1545816765.007 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816765.007 * [misc]taylor: Taking taylor expansion of k in n 1545816765.007 * [misc]backup-simplify: Simplify k into k 1545816765.007 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816765.007 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816765.008 * [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 1545816765.008 * [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 1545816765.008 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of k in k 1545816765.008 * [misc]backup-simplify: Simplify 0 into 0 1545816765.008 * [misc]backup-simplify: Simplify 1 into 1 1545816765.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.008 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816765.008 * [misc]taylor: Taking taylor expansion of PI in k 1545816765.008 * [misc]backup-simplify: Simplify PI into PI 1545816765.009 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.009 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.009 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816765.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816765.010 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816765.010 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.010 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.010 * [misc]taylor: Taking taylor expansion of k in k 1545816765.010 * [misc]backup-simplify: Simplify 0 into 0 1545816765.010 * [misc]backup-simplify: Simplify 1 into 1 1545816765.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.011 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545816765.011 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545816765.011 * [misc]taylor: Taking taylor expansion of 2 in k 1545816765.011 * [misc]backup-simplify: Simplify 2 into 2 1545816765.011 * [misc]taylor: Taking taylor expansion of n in k 1545816765.011 * [misc]backup-simplify: Simplify n into n 1545816765.011 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545816765.011 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545816765.011 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.011 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816765.011 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816765.012 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545816765.012 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.012 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816765.012 * [misc]taylor: Taking taylor expansion of k in k 1545816765.012 * [misc]backup-simplify: Simplify 0 into 0 1545816765.012 * [misc]backup-simplify: Simplify 1 into 1 1545816765.012 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816765.013 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816765.013 * [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 1545816765.013 * [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 1545816765.013 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of k in k 1545816765.013 * [misc]backup-simplify: Simplify 0 into 0 1545816765.013 * [misc]backup-simplify: Simplify 1 into 1 1545816765.013 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.013 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816765.013 * [misc]taylor: Taking taylor expansion of PI in k 1545816765.013 * [misc]backup-simplify: Simplify PI into PI 1545816765.014 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.014 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.014 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816765.014 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816765.015 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816765.015 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.015 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.015 * [misc]taylor: Taking taylor expansion of k in k 1545816765.015 * [misc]backup-simplify: Simplify 0 into 0 1545816765.015 * [misc]backup-simplify: Simplify 1 into 1 1545816765.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.016 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1545816765.016 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1545816765.016 * [misc]taylor: Taking taylor expansion of 2 in k 1545816765.016 * [misc]backup-simplify: Simplify 2 into 2 1545816765.016 * [misc]taylor: Taking taylor expansion of n in k 1545816765.016 * [misc]backup-simplify: Simplify n into n 1545816765.016 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1545816765.016 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1545816765.016 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.016 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816765.016 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816765.017 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1545816765.017 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.017 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816765.017 * [misc]taylor: Taking taylor expansion of k in k 1545816765.017 * [misc]backup-simplify: Simplify 0 into 0 1545816765.017 * [misc]backup-simplify: Simplify 1 into 1 1545816765.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816765.017 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816765.018 * [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))))) 1545816765.018 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1545816765.018 * [misc]taylor: Taking taylor expansion of 0 in n 1545816765.018 * [misc]backup-simplify: Simplify 0 into 0 1545816765.018 * [misc]backup-simplify: Simplify 0 into 0 1545816765.018 * [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 1545816765.019 * [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))))))) 1545816765.019 * [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 1545816765.019 * [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 1545816765.019 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.019 * [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 1545816765.019 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.019 * [misc]taylor: Taking taylor expansion of k in n 1545816765.019 * [misc]backup-simplify: Simplify k into k 1545816765.020 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.020 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.020 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.020 * [misc]backup-simplify: Simplify PI into PI 1545816765.020 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.020 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.020 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.020 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.021 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545816765.021 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.021 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.021 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of k in n 1545816765.021 * [misc]backup-simplify: Simplify k into k 1545816765.021 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.021 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816765.021 * [misc]taylor: Taking taylor expansion of 2 in n 1545816765.021 * [misc]backup-simplify: Simplify 2 into 2 1545816765.021 * [misc]taylor: Taking taylor expansion of n in n 1545816765.021 * [misc]backup-simplify: Simplify 0 into 0 1545816765.022 * [misc]backup-simplify: Simplify 1 into 1 1545816765.022 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816765.022 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816765.022 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.022 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.022 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816765.023 * [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))) 1545816765.023 * [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)))) 1545816765.024 * [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))))) 1545816765.024 * [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)))))) 1545816765.025 * [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))))))) 1545816765.025 * [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))))))) 1545816765.025 * [misc]backup-simplify: Simplify 0 into 0 1545816765.026 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816765.027 * [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 1545816765.027 * [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))))))) 1545816765.027 * [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 1545816765.027 * [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 1545816765.027 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.028 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.028 * [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 1545816765.028 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.028 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.028 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of k in n 1545816765.028 * [misc]backup-simplify: Simplify k into k 1545816765.028 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.028 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.028 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.028 * [misc]backup-simplify: Simplify PI into PI 1545816765.028 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.028 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.028 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.029 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.029 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545816765.029 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.029 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.029 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816765.029 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816765.029 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.030 * [misc]taylor: Taking taylor expansion of k in n 1545816765.030 * [misc]backup-simplify: Simplify k into k 1545816765.030 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.030 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816765.030 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816765.030 * [misc]taylor: Taking taylor expansion of 2 in n 1545816765.030 * [misc]backup-simplify: Simplify 2 into 2 1545816765.030 * [misc]taylor: Taking taylor expansion of n in n 1545816765.030 * [misc]backup-simplify: Simplify 0 into 0 1545816765.030 * [misc]backup-simplify: Simplify 1 into 1 1545816765.030 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816765.030 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816765.030 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.030 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.030 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816765.031 * [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))) 1545816765.031 * [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)))) 1545816765.032 * [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))))) 1545816765.032 * [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)))))) 1545816765.033 * [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))))))) 1545816765.033 * [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))))))) 1545816765.034 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1545816765.036 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816765.036 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816765.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816765.036 * [misc]backup-simplify: Simplify (- 0) into 0 1545816765.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816765.037 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816765.037 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1545816765.039 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816765.041 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816765.041 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816765.041 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816765.041 * [misc]backup-simplify: Simplify (- 0) into 0 1545816765.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816765.042 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1545816765.043 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816765.044 * [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 1545816765.044 * [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 1545816765.045 * [misc]backup-simplify: Simplify (- 0) into 0 1545816765.045 * [misc]backup-simplify: Simplify 0 into 0 1545816765.045 * [misc]backup-simplify: Simplify 0 into 0 1545816765.046 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816765.046 * [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 1545816765.047 * [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))))))) 1545816765.047 * [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 1545816765.047 * [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 1545816765.047 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.047 * [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 1545816765.047 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.047 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1545816765.047 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1545816765.047 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.047 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.047 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.047 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.048 * [misc]taylor: Taking taylor expansion of k in n 1545816765.048 * [misc]backup-simplify: Simplify k into k 1545816765.048 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.048 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.048 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.048 * [misc]backup-simplify: Simplify PI into PI 1545816765.048 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.048 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.048 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.048 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.049 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1545816765.049 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816765.049 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.049 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.049 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.049 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.049 * [misc]taylor: Taking taylor expansion of k in n 1545816765.049 * [misc]backup-simplify: Simplify k into k 1545816765.049 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.049 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1545816765.050 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1545816765.050 * [misc]taylor: Taking taylor expansion of 2 in n 1545816765.050 * [misc]backup-simplify: Simplify 2 into 2 1545816765.050 * [misc]taylor: Taking taylor expansion of n in n 1545816765.050 * [misc]backup-simplify: Simplify 0 into 0 1545816765.050 * [misc]backup-simplify: Simplify 1 into 1 1545816765.050 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1545816765.050 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816765.050 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.050 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816765.051 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816765.051 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1545816765.051 * [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))) 1545816765.052 * [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)))) 1545816765.052 * [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))))) 1545816765.053 * [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)))))) 1545816765.053 * [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))))))) 1545816765.054 * [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))))))) 1545816765.056 * [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)))))))) 1545816765.057 * [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))) 1545816765.057 * [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 1545816765.057 * [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 1545816765.057 * [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 1545816765.057 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of k in n 1545816765.057 * [misc]backup-simplify: Simplify k into k 1545816765.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.057 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816765.057 * [misc]taylor: Taking taylor expansion of -2 in n 1545816765.057 * [misc]backup-simplify: Simplify -2 into -2 1545816765.057 * [misc]taylor: Taking taylor expansion of n in n 1545816765.057 * [misc]backup-simplify: Simplify 0 into 0 1545816765.057 * [misc]backup-simplify: Simplify 1 into 1 1545816765.057 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816765.058 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816765.058 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.058 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816765.058 * [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))) 1545816765.059 * [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)))) 1545816765.059 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of k in n 1545816765.059 * [misc]backup-simplify: Simplify k into k 1545816765.059 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.059 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.059 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.059 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.059 * [misc]backup-simplify: Simplify PI into PI 1545816765.060 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.060 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.060 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.060 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545816765.061 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.061 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816765.061 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816765.061 * [misc]taylor: Taking taylor expansion of -1 in n 1545816765.061 * [misc]backup-simplify: Simplify -1 into -1 1545816765.061 * [misc]taylor: Taking taylor expansion of k in n 1545816765.061 * [misc]backup-simplify: Simplify k into k 1545816765.061 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816765.061 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816765.061 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816765.061 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816765.062 * [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))) 1545816765.062 * [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))) 1545816765.062 * [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 1545816765.062 * [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 1545816765.062 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.062 * [misc]taylor: Taking taylor expansion of k in k 1545816765.062 * [misc]backup-simplify: Simplify 0 into 0 1545816765.062 * [misc]backup-simplify: Simplify 1 into 1 1545816765.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.063 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545816765.063 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545816765.063 * [misc]taylor: Taking taylor expansion of -2 in k 1545816765.063 * [misc]backup-simplify: Simplify -2 into -2 1545816765.063 * [misc]taylor: Taking taylor expansion of n in k 1545816765.063 * [misc]backup-simplify: Simplify n into n 1545816765.063 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545816765.063 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545816765.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816765.063 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545816765.064 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.064 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of k in k 1545816765.064 * [misc]backup-simplify: Simplify 0 into 0 1545816765.064 * [misc]backup-simplify: Simplify 1 into 1 1545816765.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.064 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816765.064 * [misc]taylor: Taking taylor expansion of PI in k 1545816765.064 * [misc]backup-simplify: Simplify PI into PI 1545816765.064 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.065 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.065 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816765.065 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816765.066 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.066 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816765.066 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816765.066 * [misc]taylor: Taking taylor expansion of -1 in k 1545816765.066 * [misc]backup-simplify: Simplify -1 into -1 1545816765.066 * [misc]taylor: Taking taylor expansion of k in k 1545816765.066 * [misc]backup-simplify: Simplify 0 into 0 1545816765.066 * [misc]backup-simplify: Simplify 1 into 1 1545816765.066 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816765.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816765.066 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816765.067 * [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))) 1545816765.067 * [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)))) 1545816765.067 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.067 * [misc]taylor: Taking taylor expansion of k in k 1545816765.067 * [misc]backup-simplify: Simplify 0 into 0 1545816765.067 * [misc]backup-simplify: Simplify 1 into 1 1545816765.068 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.068 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1545816765.068 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1545816765.068 * [misc]taylor: Taking taylor expansion of -2 in k 1545816765.068 * [misc]backup-simplify: Simplify -2 into -2 1545816765.068 * [misc]taylor: Taking taylor expansion of n in k 1545816765.068 * [misc]backup-simplify: Simplify n into n 1545816765.068 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1545816765.068 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1545816765.068 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.068 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816765.068 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1545816765.069 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.069 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.069 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of k in k 1545816765.069 * [misc]backup-simplify: Simplify 0 into 0 1545816765.069 * [misc]backup-simplify: Simplify 1 into 1 1545816765.069 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816765.069 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816765.069 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.069 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816765.069 * [misc]taylor: Taking taylor expansion of PI in k 1545816765.069 * [misc]backup-simplify: Simplify PI into PI 1545816765.069 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.070 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816765.070 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816765.070 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816765.071 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.071 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816765.071 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816765.071 * [misc]taylor: Taking taylor expansion of -1 in k 1545816765.071 * [misc]backup-simplify: Simplify -1 into -1 1545816765.071 * [misc]taylor: Taking taylor expansion of k in k 1545816765.071 * [misc]backup-simplify: Simplify 0 into 0 1545816765.071 * [misc]backup-simplify: Simplify 1 into 1 1545816765.071 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816765.071 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816765.072 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816765.072 * [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))) 1545816765.072 * [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)))) 1545816765.072 * [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 1545816765.072 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.072 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.072 * [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 1545816765.072 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.072 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816765.072 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816765.072 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.072 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.072 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.073 * [misc]taylor: Taking taylor expansion of k in n 1545816765.073 * [misc]backup-simplify: Simplify k into k 1545816765.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.073 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816765.073 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816765.073 * [misc]taylor: Taking taylor expansion of -2 in n 1545816765.073 * [misc]backup-simplify: Simplify -2 into -2 1545816765.073 * [misc]taylor: Taking taylor expansion of n in n 1545816765.073 * [misc]backup-simplify: Simplify 0 into 0 1545816765.073 * [misc]backup-simplify: Simplify 1 into 1 1545816765.073 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816765.073 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816765.073 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.073 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816765.074 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1545816765.074 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1545816765.074 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.074 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of k in n 1545816765.075 * [misc]backup-simplify: Simplify k into k 1545816765.075 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.075 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.075 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.075 * [misc]backup-simplify: Simplify PI into PI 1545816765.075 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.075 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.076 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545816765.076 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.076 * [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))) 1545816765.077 * [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)))) 1545816765.077 * [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)))) 1545816765.078 * [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 1545816765.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816765.079 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816765.080 * [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))))) 1545816765.080 * [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 1545816765.080 * [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 1545816765.080 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.080 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.080 * [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 1545816765.080 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816765.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816765.080 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.081 * [misc]taylor: Taking taylor expansion of k in n 1545816765.081 * [misc]backup-simplify: Simplify k into k 1545816765.081 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.081 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.081 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816765.081 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816765.081 * [misc]taylor: Taking taylor expansion of -2 in n 1545816765.081 * [misc]backup-simplify: Simplify -2 into -2 1545816765.081 * [misc]taylor: Taking taylor expansion of n in n 1545816765.081 * [misc]backup-simplify: Simplify 0 into 0 1545816765.081 * [misc]backup-simplify: Simplify 1 into 1 1545816765.081 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816765.081 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816765.081 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.081 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.082 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816765.082 * [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))) 1545816765.082 * [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)))) 1545816765.082 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of k in n 1545816765.083 * [misc]backup-simplify: Simplify k into k 1545816765.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.083 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.083 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.083 * [misc]backup-simplify: Simplify PI into PI 1545816765.083 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.083 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.084 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545816765.084 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.085 * [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))) 1545816765.085 * [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)))) 1545816765.086 * [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))))) 1545816765.086 * [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))))) 1545816765.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816765.089 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816765.089 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816765.089 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816765.090 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1545816765.091 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816765.092 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1545816765.094 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1545816765.094 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816765.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816765.094 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816765.095 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816765.095 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1545816765.096 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816765.097 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1545816765.097 * [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 1545816765.097 * [misc]backup-simplify: Simplify 0 into 0 1545816765.098 * [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 1545816765.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816765.100 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816765.101 * [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))))) 1545816765.101 * [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 1545816765.101 * [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 1545816765.101 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1545816765.101 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1545816765.101 * [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 1545816765.101 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.101 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1545816765.101 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1545816765.101 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.101 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.102 * [misc]taylor: Taking taylor expansion of k in n 1545816765.102 * [misc]backup-simplify: Simplify k into k 1545816765.102 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.102 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.102 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1545816765.102 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1545816765.102 * [misc]taylor: Taking taylor expansion of -2 in n 1545816765.102 * [misc]backup-simplify: Simplify -2 into -2 1545816765.102 * [misc]taylor: Taking taylor expansion of n in n 1545816765.102 * [misc]backup-simplify: Simplify 0 into 0 1545816765.102 * [misc]backup-simplify: Simplify 1 into 1 1545816765.102 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1545816765.102 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1545816765.102 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.102 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1545816765.103 * [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))) 1545816765.103 * [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)))) 1545816765.103 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.104 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of k in n 1545816765.104 * [misc]backup-simplify: Simplify k into k 1545816765.104 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816765.104 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816765.104 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816765.104 * [misc]taylor: Taking taylor expansion of (log PI) in n 1545816765.104 * [misc]taylor: Taking taylor expansion of PI in n 1545816765.104 * [misc]backup-simplify: Simplify PI into PI 1545816765.104 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816765.104 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816765.105 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816765.105 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1545816765.105 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816765.106 * [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))) 1545816765.106 * [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)))) 1545816765.107 * [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))))) 1545816765.107 * [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))))) 1545816765.109 * [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)))))))) 1545816765.110 * * * [misc]progress: simplifying candidates 1545816765.110 * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # 1545816765.110 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1545816765.110 * * [misc]simplify: iters left: 6 (9 enodes) 1545816765.112 * * [misc]simplify: iters left: 5 (16 enodes) 1545816765.115 * * [misc]simplify: iters left: 4 (32 enodes) 1545816765.122 * * [misc]simplify: iters left: 3 (68 enodes) 1545816765.138 * * [misc]simplify: iters left: 2 (171 enodes) 1545816765.200 * * [misc]simplify: iters left: 1 (261 enodes) 1545816765.292 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1545816765.292 * [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)))) 1545816765.292 * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # 1545816765.292 * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # 1545816765.292 * [enter]simplify: Simplifying (* n 2) 1545816765.292 * * [misc]simplify: iters left: 2 (3 enodes) 1545816765.293 * * [misc]simplify: iters left: 1 (4 enodes) 1545816765.293 * [exit]simplify: Simplified to (* n 2) 1545816765.293 * [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)))) 1545816765.293 * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # 1545816765.293 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1545816765.293 * * [misc]simplify: iters left: 3 (6 enodes) 1545816765.294 * * [misc]simplify: iters left: 2 (7 enodes) 1545816765.295 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1545816765.295 * [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)))) 1545816765.295 * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # 1545816765.295 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816765.295 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.296 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.297 * * [misc]simplify: iters left: 3 (11 enodes) 1545816765.299 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816765.299 * [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)))) 1545816765.299 * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # 1545816765.299 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816765.299 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.300 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.301 * * [misc]simplify: iters left: 3 (11 enodes) 1545816765.302 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816765.302 * [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)))) 1545816765.302 * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # 1545816765.303 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816765.303 * * [misc]simplify: iters left: 4 (5 enodes) 1545816765.303 * * [misc]simplify: iters left: 3 (7 enodes) 1545816765.304 * * [misc]simplify: iters left: 2 (10 enodes) 1545816765.306 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816765.306 * [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)))) 1545816765.306 * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # 1545816765.306 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545816765.306 * * [misc]simplify: iters left: 5 (7 enodes) 1545816765.307 * * [misc]simplify: iters left: 4 (10 enodes) 1545816765.308 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545816765.308 * [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)))) 1545816765.308 * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # 1545816765.308 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1545816765.308 * * [misc]simplify: iters left: 5 (7 enodes) 1545816765.309 * * [misc]simplify: iters left: 4 (10 enodes) 1545816765.311 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1545816765.311 * [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)))) 1545816765.311 * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # 1545816765.311 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545816765.311 * * [misc]simplify: iters left: 5 (7 enodes) 1545816765.312 * * [misc]simplify: iters left: 4 (9 enodes) 1545816765.313 * * [misc]simplify: iters left: 3 (12 enodes) 1545816765.315 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545816765.315 * [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)))) 1545816765.315 * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 17 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # 1545816765.315 * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # 1545816765.315 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545816765.315 * * [misc]simplify: iters left: 3 (5 enodes) 1545816765.316 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545816765.316 * [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)))) 1545816765.316 * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # 1545816765.316 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816765.316 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.317 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.318 * * [misc]simplify: iters left: 3 (11 enodes) 1545816765.319 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816765.319 * [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)))) 1545816765.319 * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # 1545816765.320 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816765.320 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.320 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.321 * * [misc]simplify: iters left: 3 (11 enodes) 1545816765.323 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816765.323 * [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)))) 1545816765.323 * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # 1545816765.323 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816765.323 * * [misc]simplify: iters left: 4 (5 enodes) 1545816765.324 * * [misc]simplify: iters left: 3 (7 enodes) 1545816765.325 * * [misc]simplify: iters left: 2 (10 enodes) 1545816765.326 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816765.326 * [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)))) 1545816765.326 * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # 1545816765.326 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545816765.326 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.327 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.328 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545816765.328 * [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)))) 1545816765.328 * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # 1545816765.328 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545816765.328 * * [misc]simplify: iters left: 5 (6 enodes) 1545816765.331 * * [misc]simplify: iters left: 4 (8 enodes) 1545816765.332 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545816765.332 * [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)))) 1545816765.332 * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # 1545816765.332 * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # 1545816765.332 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816765.332 * * [misc]simplify: iters left: 6 (12 enodes) 1545816765.335 * * [misc]simplify: iters left: 5 (21 enodes) 1545816765.338 * * [misc]simplify: iters left: 4 (38 enodes) 1545816765.351 * * [misc]simplify: iters left: 3 (98 enodes) 1545816765.388 * * [misc]simplify: iters left: 2 (305 enodes) 1545816765.485 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816765.485 * [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)))))) 1545816765.485 * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # 1545816765.485 * [enter]simplify: Simplifying (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816765.485 * * [misc]simplify: iters left: 6 (12 enodes) 1545816765.487 * * [misc]simplify: iters left: 5 (21 enodes) 1545816765.493 * * [misc]simplify: iters left: 4 (38 enodes) 1545816765.500 * * [misc]simplify: iters left: 3 (98 enodes) 1545816765.543 * * [misc]simplify: iters left: 2 (305 enodes) 1545816765.644 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816765.644 * [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)))))) 1545816765.644 * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # 1545816765.644 * [enter]simplify: Simplifying (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545816765.644 * * [misc]simplify: iters left: 6 (12 enodes) 1545816765.646 * * [misc]simplify: iters left: 5 (19 enodes) 1545816765.649 * * [misc]simplify: iters left: 4 (28 enodes) 1545816765.653 * * [misc]simplify: iters left: 3 (44 enodes) 1545816765.665 * * [misc]simplify: iters left: 2 (124 enodes) 1545816765.758 * * [misc]simplify: iters left: 1 (415 enodes) 1545816766.009 * [exit]simplify: Simplified to (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816766.009 * [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)))))) 1545816766.009 * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # 1545816766.009 * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # 1545816766.009 * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # 1545816766.009 * [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))) 1545816766.009 * * [misc]simplify: iters left: 6 (14 enodes) 1545816766.011 * * [misc]simplify: iters left: 5 (26 enodes) 1545816766.015 * * [misc]simplify: iters left: 4 (51 enodes) 1545816766.023 * * [misc]simplify: iters left: 3 (87 enodes) 1545816766.053 * * [misc]simplify: iters left: 2 (118 enodes) 1545816766.088 * * [misc]simplify: iters left: 1 (128 enodes) 1545816766.124 * [exit]simplify: Simplified to (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k)))) 1545816766.124 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* k (sqrt k))))))) 1545816766.124 * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # 1545816766.124 * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # 1545816766.124 * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # 1545816766.124 * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # 1545816766.124 * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # 1545816766.125 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.125 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.128 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.132 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.132 * [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)))))) 1545816766.132 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545816766.132 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.135 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.138 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545816766.138 * [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)))))) 1545816766.138 * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # 1545816766.138 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545816766.138 * * [misc]simplify: iters left: 5 (9 enodes) 1545816766.141 * * [misc]simplify: iters left: 4 (11 enodes) 1545816766.143 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545816766.144 * [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)))))) 1545816766.144 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545816766.144 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.147 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.150 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545816766.150 * [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)))))) 1545816766.150 * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # 1545816766.151 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545816766.151 * * [misc]simplify: iters left: 5 (7 enodes) 1545816766.153 * * [misc]simplify: iters left: 4 (11 enodes) 1545816766.157 * * [misc]simplify: iters left: 3 (13 enodes) 1545816766.160 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545816766.160 * [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))))) 1545816766.161 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816766.161 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.164 * * [misc]simplify: iters left: 5 (12 enodes) 1545816766.167 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816766.167 * [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))))) 1545816766.167 * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # 1545816766.168 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.168 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.171 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.175 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.175 * [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)))))) 1545816766.175 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545816766.175 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.178 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.182 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545816766.182 * [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)))))) 1545816766.182 * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # 1545816766.182 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) (sqrt (sqrt k))) 1545816766.183 * * [misc]simplify: iters left: 5 (9 enodes) 1545816766.185 * * [misc]simplify: iters left: 4 (11 enodes) 1545816766.188 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1545816766.188 * [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)))))) 1545816766.188 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545816766.189 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.192 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.195 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545816766.195 * [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)))))) 1545816766.195 * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # 1545816766.196 * [enter]simplify: Simplifying (/ (pow (* n 2) 1/2) 1) 1545816766.196 * * [misc]simplify: iters left: 5 (7 enodes) 1545816766.198 * * [misc]simplify: iters left: 4 (11 enodes) 1545816766.200 * * [misc]simplify: iters left: 3 (13 enodes) 1545816766.202 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545816766.202 * [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))))) 1545816766.202 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816766.202 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.203 * * [misc]simplify: iters left: 5 (12 enodes) 1545816766.205 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816766.205 * [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))))) 1545816766.205 * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # 1545816766.205 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.205 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.207 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.209 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.211 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.211 * [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)))))) 1545816766.211 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816766.211 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.213 * * [misc]simplify: iters left: 5 (11 enodes) 1545816766.214 * * [misc]simplify: iters left: 4 (14 enodes) 1545816766.216 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816766.216 * [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)))))) 1545816766.216 * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # 1545816766.216 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.216 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.218 * * [misc]simplify: iters left: 5 (12 enodes) 1545816766.219 * * [misc]simplify: iters left: 4 (15 enodes) 1545816766.221 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.221 * [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)))))) 1545816766.222 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.222 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.223 * * [misc]simplify: iters left: 5 (11 enodes) 1545816766.224 * * [misc]simplify: iters left: 4 (14 enodes) 1545816766.226 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.226 * [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)))))) 1545816766.226 * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # 1545816766.226 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545816766.226 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.228 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.230 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.233 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545816766.233 * [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))))) 1545816766.233 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816766.233 * * [misc]simplify: iters left: 6 (8 enodes) 1545816766.234 * * [misc]simplify: iters left: 5 (10 enodes) 1545816766.235 * * [misc]simplify: iters left: 4 (13 enodes) 1545816766.237 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816766.237 * [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))))) 1545816766.237 * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # 1545816766.237 * [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)))) 1545816766.237 * * [misc]simplify: iters left: 6 (14 enodes) 1545816766.239 * * [misc]simplify: iters left: 5 (23 enodes) 1545816766.243 * * [misc]simplify: iters left: 4 (35 enodes) 1545816766.251 * * [misc]simplify: iters left: 3 (38 enodes) 1545816766.260 * * [misc]simplify: iters left: 2 (41 enodes) 1545816766.272 * [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)))) 1545816766.272 * [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)))))) 1545816766.272 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816766.272 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.276 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.280 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.285 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816766.285 * [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)))))) 1545816766.285 * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # 1545816766.285 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1545816766.285 * * [misc]simplify: iters left: 6 (13 enodes) 1545816766.289 * * [misc]simplify: iters left: 5 (18 enodes) 1545816766.294 * * [misc]simplify: iters left: 4 (23 enodes) 1545816766.300 * * [misc]simplify: iters left: 3 (24 enodes) 1545816766.307 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545816766.307 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1545816766.307 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.307 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.311 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.315 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.320 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.320 * [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)))))) 1545816766.320 * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # 1545816766.321 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1) 1545816766.321 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.325 * * [misc]simplify: iters left: 5 (19 enodes) 1545816766.331 * * [misc]simplify: iters left: 4 (28 enodes) 1545816766.334 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545816766.334 * [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))))) 1545816766.335 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816766.335 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.336 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.338 * * [misc]simplify: iters left: 4 (17 enodes) 1545816766.340 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816766.340 * [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))))) 1545816766.340 * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # 1545816766.341 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.341 * * [misc]simplify: iters left: 6 (13 enodes) 1545816766.342 * * [misc]simplify: iters left: 5 (18 enodes) 1545816766.345 * * [misc]simplify: iters left: 4 (21 enodes) 1545816766.348 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.348 * [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)))))) 1545816766.348 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816766.348 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.349 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.352 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.355 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816766.355 * [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)))))) 1545816766.355 * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # 1545816766.355 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.355 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.357 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.359 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.361 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.361 * [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)))))) 1545816766.361 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.361 * * [misc]simplify: iters left: 6 (12 enodes) 1545816766.363 * * [misc]simplify: iters left: 5 (15 enodes) 1545816766.365 * * [misc]simplify: iters left: 4 (18 enodes) 1545816766.367 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816766.367 * [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)))))) 1545816766.367 * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # 1545816766.368 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1) 1545816766.368 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.371 * * [misc]simplify: iters left: 5 (16 enodes) 1545816766.376 * * [misc]simplify: iters left: 4 (21 enodes) 1545816766.381 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545816766.381 * [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))))) 1545816766.381 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816766.381 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.385 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.388 * * [misc]simplify: iters left: 4 (17 enodes) 1545816766.393 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816766.393 * [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))))) 1545816766.393 * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # 1545816766.393 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816766.393 * * [misc]simplify: iters left: 6 (6 enodes) 1545816766.395 * * [misc]simplify: iters left: 5 (10 enodes) 1545816766.398 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1545816766.398 * [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)))))) 1545816766.398 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816766.398 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.402 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.405 * * [misc]simplify: iters left: 4 (17 enodes) 1545816766.410 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816766.410 * [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)))))) 1545816766.410 * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # 1545816766.411 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1545816766.411 * * [misc]simplify: iters left: 4 (5 enodes) 1545816766.412 * * [misc]simplify: iters left: 3 (7 enodes) 1545816766.414 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1545816766.414 * [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)))))) 1545816766.414 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.414 * * [misc]simplify: iters left: 6 (11 enodes) 1545816766.417 * * [misc]simplify: iters left: 5 (14 enodes) 1545816766.421 * * [misc]simplify: iters left: 4 (17 enodes) 1545816766.426 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816766.426 * [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)))))) 1545816766.426 * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # 1545816766.427 * [enter]simplify: Simplifying (/ 1 1) 1545816766.427 * * [misc]simplify: iters left: 2 (2 enodes) 1545816766.427 * * [misc]simplify: iters left: 1 (4 enodes) 1545816766.428 * [exit]simplify: Simplified to 1 1545816766.428 * [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))))) 1545816766.428 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816766.428 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.431 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.435 * * [misc]simplify: iters left: 4 (16 enodes) 1545816766.439 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816766.439 * [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))))) 1545816766.439 * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # 1545816766.439 * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # 1545816766.440 * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # 1545816766.440 * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # 1545816766.440 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545816766.440 * * [misc]simplify: iters left: 2 (3 enodes) 1545816766.441 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545816766.441 * [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))))) 1545816766.441 * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # 1545816766.441 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545816766.441 * * [misc]simplify: iters left: 2 (3 enodes) 1545816766.442 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545816766.442 * [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))))) 1545816766.442 * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # 1545816766.442 * [enter]simplify: Simplifying (sqrt k) 1545816766.442 * * [misc]simplify: iters left: 1 (2 enodes) 1545816766.443 * [exit]simplify: Simplified to (sqrt k) 1545816766.443 * [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)))) 1545816766.443 * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # 1545816766.443 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545816766.443 * * [misc]simplify: iters left: 3 (5 enodes) 1545816766.445 * * [misc]simplify: iters left: 2 (7 enodes) 1545816766.447 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545816766.447 * [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))))))) 1545816766.447 * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # 1545816766.447 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545816766.447 * * [misc]simplify: iters left: 3 (5 enodes) 1545816766.449 * * [misc]simplify: iters left: 2 (7 enodes) 1545816766.450 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545816766.450 * [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))))))) 1545816766.450 * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # 1545816766.451 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545816766.451 * * [misc]simplify: iters left: 5 (7 enodes) 1545816766.453 * * [misc]simplify: iters left: 4 (9 enodes) 1545816766.455 * * [misc]simplify: iters left: 3 (12 enodes) 1545816766.457 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545816766.457 * [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))))))) 1545816766.457 * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # 1545816766.457 * [enter]simplify: Simplifying (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545816766.457 * * [misc]simplify: iters left: 6 (10 enodes) 1545816766.459 * * [misc]simplify: iters left: 5 (13 enodes) 1545816766.460 * * [misc]simplify: iters left: 4 (16 enodes) 1545816766.462 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1545816766.462 * [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)))))))) 1545816766.462 * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # 1545816766.463 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545816766.463 * * [misc]simplify: iters left: 6 (9 enodes) 1545816766.464 * * [misc]simplify: iters left: 5 (12 enodes) 1545816766.465 * * [misc]simplify: iters left: 4 (15 enodes) 1545816766.467 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1545816766.467 * [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)))))))) 1545816766.467 * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # 1545816766.467 * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # 1545816766.468 * [enter]simplify: Simplifying (pow (* n 2) 1/2) 1545816766.468 * * [misc]simplify: iters left: 3 (5 enodes) 1545816766.468 * * [misc]simplify: iters left: 2 (7 enodes) 1545816766.470 * [exit]simplify: Simplified to (sqrt (* n 2)) 1545816766.470 * [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)))))) 1545816766.470 * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # 1545816766.470 * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # 1545816766.470 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545816766.470 * * [misc]simplify: iters left: 6 (16 enodes) 1545816766.473 * * [misc]simplify: iters left: 5 (29 enodes) 1545816766.478 * * [misc]simplify: iters left: 4 (60 enodes) 1545816766.493 * * [misc]simplify: iters left: 3 (191 enodes) 1545816766.568 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816766.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816766.569 * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # 1545816766.569 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545816766.569 * * [misc]simplify: iters left: 6 (16 enodes) 1545816766.572 * * [misc]simplify: iters left: 5 (29 enodes) 1545816766.582 * * [misc]simplify: iters left: 4 (60 enodes) 1545816766.605 * * [misc]simplify: iters left: 3 (191 enodes) 1545816766.678 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816766.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816766.678 * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # 1545816766.678 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545816766.678 * * [misc]simplify: iters left: 6 (16 enodes) 1545816766.681 * * [misc]simplify: iters left: 5 (27 enodes) 1545816766.685 * * [misc]simplify: iters left: 4 (50 enodes) 1545816766.694 * * [misc]simplify: iters left: 3 (114 enodes) 1545816766.733 * * [misc]simplify: iters left: 2 (392 enodes) 1545816767.170 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816767.170 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816767.170 * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # 1545816767.171 * [enter]simplify: Simplifying (+ (* (log PI) (- 1/2 (/ k 2))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816767.171 * * [misc]simplify: iters left: 6 (15 enodes) 1545816767.175 * * [misc]simplify: iters left: 5 (23 enodes) 1545816767.181 * * [misc]simplify: iters left: 4 (40 enodes) 1545816767.195 * * [misc]simplify: iters left: 3 (82 enodes) 1545816767.229 * * [misc]simplify: iters left: 2 (165 enodes) 1545816767.367 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816767.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816767.367 * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # 1545816767.367 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545816767.367 * * [misc]simplify: iters left: 6 (16 enodes) 1545816767.373 * * [misc]simplify: iters left: 5 (30 enodes) 1545816767.383 * * [misc]simplify: iters left: 4 (56 enodes) 1545816767.408 * * [misc]simplify: iters left: 3 (161 enodes) 1545816767.489 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816767.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816767.489 * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # 1545816767.489 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (* (log (* n 2)) (- 1/2 (/ k 2))) (log (sqrt k)))) 1545816767.489 * * [misc]simplify: iters left: 6 (16 enodes) 1545816767.495 * * [misc]simplify: iters left: 5 (30 enodes) 1545816767.504 * * [misc]simplify: iters left: 4 (56 enodes) 1545816767.529 * * [misc]simplify: iters left: 3 (161 enodes) 1545816767.618 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816767.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816767.618 * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # 1545816767.618 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (- (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (sqrt k)))) 1545816767.618 * * [misc]simplify: iters left: 6 (16 enodes) 1545816767.621 * * [misc]simplify: iters left: 5 (28 enodes) 1545816767.625 * * [misc]simplify: iters left: 4 (46 enodes) 1545816767.633 * * [misc]simplify: iters left: 3 (83 enodes) 1545816767.684 * * [misc]simplify: iters left: 2 (323 enodes) 1545816767.987 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816767.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816767.987 * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # 1545816767.988 * [enter]simplify: Simplifying (+ (log (pow PI (- 1/2 (/ k 2)))) (log (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816767.988 * * [misc]simplify: iters left: 6 (15 enodes) 1545816767.992 * * [misc]simplify: iters left: 5 (24 enodes) 1545816767.999 * * [misc]simplify: iters left: 4 (36 enodes) 1545816768.010 * * [misc]simplify: iters left: 3 (60 enodes) 1545816768.036 * * [misc]simplify: iters left: 2 (163 enodes) 1545816768.112 * * [misc]simplify: iters left: 1 (499 enodes) 1545816769.202 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816769.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1545816769.203 * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # 1545816769.203 * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # 1545816769.203 * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # 1545816769.203 * [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)))) 1545816769.204 * * [misc]simplify: iters left: 6 (19 enodes) 1545816769.215 * * [misc]simplify: iters left: 5 (37 enodes) 1545816769.230 * * [misc]simplify: iters left: 4 (109 enodes) 1545816769.282 * * [misc]simplify: iters left: 3 (394 enodes) 1545816769.564 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1545816769.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow PI (- 1/2 (/ k 2))))) (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1545816769.564 * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # 1545816769.565 * [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)))) 1545816769.565 * * [misc]simplify: iters left: 6 (17 enodes) 1545816769.568 * * [misc]simplify: iters left: 5 (33 enodes) 1545816769.575 * * [misc]simplify: iters left: 4 (87 enodes) 1545816769.614 * * [misc]simplify: iters left: 3 (222 enodes) 1545816769.754 * [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)))))) 1545816769.754 * [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)))))))) 1545816769.754 * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # 1545816769.754 * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # 1545816769.754 * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # 1545816769.754 * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # 1545816769.754 * [enter]simplify: Simplifying (* (pow PI 1/2) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816769.754 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.756 * * [misc]simplify: iters left: 5 (16 enodes) 1545816769.758 * * [misc]simplify: iters left: 4 (19 enodes) 1545816769.760 * [exit]simplify: Simplified to (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816769.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545816769.761 * [enter]simplify: Simplifying (* (pow PI (/ k 2)) (sqrt k)) 1545816769.762 * * [misc]simplify: iters left: 5 (7 enodes) 1545816769.764 * * [misc]simplify: iters left: 4 (8 enodes) 1545816769.765 * [exit]simplify: Simplified to (* (pow PI (/ k 2)) (sqrt k)) 1545816769.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (sqrt PI) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k)))) 1545816769.765 * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # 1545816769.765 * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # 1545816769.765 * [enter]simplify: Simplifying (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816769.765 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.766 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.768 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.770 * [exit]simplify: Simplified to (cbrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816769.771 * [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))))) 1545816769.771 * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # 1545816769.771 * [enter]simplify: Simplifying (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816769.771 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.774 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.778 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.782 * [exit]simplify: Simplified to (sqrt (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816769.782 * [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))))) 1545816769.782 * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # 1545816769.783 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545816769.783 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.786 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.790 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545816769.790 * [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))))) 1545816769.790 * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # 1545816769.790 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545816769.790 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.793 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.797 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545816769.797 * [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))))) 1545816769.797 * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # 1545816769.797 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816769.797 * * [misc]simplify: iters left: 6 (9 enodes) 1545816769.800 * * [misc]simplify: iters left: 5 (12 enodes) 1545816769.803 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816769.804 * [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)))) 1545816769.804 * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # 1545816769.804 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (cbrt (sqrt k))) 1545816769.804 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.807 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.810 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (cbrt (sqrt k))) 1545816769.810 * [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))))) 1545816769.811 * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # 1545816769.811 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt (sqrt k))) 1545816769.811 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.814 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.817 * [exit]simplify: Simplified to (/ (pow (* n 2) (/ (- k) 2)) (sqrt (sqrt k))) 1545816769.818 * [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))))) 1545816769.818 * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # 1545816769.818 * [enter]simplify: Simplifying (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816769.818 * * [misc]simplify: iters left: 6 (9 enodes) 1545816769.821 * * [misc]simplify: iters left: 5 (12 enodes) 1545816769.824 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) 1545816769.824 * [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)))) 1545816769.824 * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # 1545816769.825 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816769.825 * * [misc]simplify: iters left: 6 (9 enodes) 1545816769.827 * * [misc]simplify: iters left: 5 (11 enodes) 1545816769.829 * * [misc]simplify: iters left: 4 (14 enodes) 1545816769.830 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816769.830 * [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))))) 1545816769.831 * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # 1545816769.831 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816769.831 * * [misc]simplify: iters left: 6 (9 enodes) 1545816769.832 * * [misc]simplify: iters left: 5 (11 enodes) 1545816769.833 * * [misc]simplify: iters left: 4 (14 enodes) 1545816769.835 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816769.835 * [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))))) 1545816769.835 * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # 1545816769.835 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816769.836 * * [misc]simplify: iters left: 6 (8 enodes) 1545816769.837 * * [misc]simplify: iters left: 5 (10 enodes) 1545816769.838 * * [misc]simplify: iters left: 4 (13 enodes) 1545816769.840 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816769.840 * [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)))) 1545816769.840 * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # 1545816769.840 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816769.840 * * [misc]simplify: iters left: 6 (12 enodes) 1545816769.841 * * [misc]simplify: iters left: 5 (15 enodes) 1545816769.843 * * [misc]simplify: iters left: 4 (18 enodes) 1545816769.846 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816769.846 * [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))))) 1545816769.846 * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # 1545816769.846 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816769.846 * * [misc]simplify: iters left: 6 (12 enodes) 1545816769.848 * * [misc]simplify: iters left: 5 (15 enodes) 1545816769.850 * * [misc]simplify: iters left: 4 (18 enodes) 1545816769.852 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816769.852 * [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))))) 1545816769.852 * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # 1545816769.852 * [enter]simplify: Simplifying (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816769.852 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.854 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.856 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.858 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816769.858 * [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)))) 1545816769.858 * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # 1545816769.859 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816769.859 * * [misc]simplify: iters left: 6 (12 enodes) 1545816769.860 * * [misc]simplify: iters left: 5 (15 enodes) 1545816769.862 * * [misc]simplify: iters left: 4 (18 enodes) 1545816769.865 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1545816769.865 * [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))))) 1545816769.865 * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # 1545816769.865 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816769.865 * * [misc]simplify: iters left: 6 (12 enodes) 1545816769.867 * * [misc]simplify: iters left: 5 (15 enodes) 1545816769.869 * * [misc]simplify: iters left: 4 (18 enodes) 1545816769.871 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1545816769.871 * [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))))) 1545816769.871 * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # 1545816769.872 * [enter]simplify: Simplifying (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816769.872 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.873 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.875 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.877 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)) 1545816769.877 * [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)))) 1545816769.877 * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # 1545816769.877 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816769.877 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.879 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.881 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.883 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816769.883 * [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))))) 1545816769.883 * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # 1545816769.883 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816769.883 * * [misc]simplify: iters left: 6 (11 enodes) 1545816769.885 * * [misc]simplify: iters left: 5 (14 enodes) 1545816769.886 * * [misc]simplify: iters left: 4 (17 enodes) 1545816769.889 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816769.889 * [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))))) 1545816769.889 * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # 1545816769.889 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816769.889 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.890 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.893 * * [misc]simplify: iters left: 4 (16 enodes) 1545816769.897 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816769.898 * [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)))) 1545816769.898 * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # 1545816769.898 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816769.898 * * [misc]simplify: iters left: 6 (10 enodes) 1545816769.901 * * [misc]simplify: iters left: 5 (13 enodes) 1545816769.905 * * [misc]simplify: iters left: 4 (16 enodes) 1545816769.909 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1545816769.910 * [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)))) 1545816769.910 * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # 1545816769.910 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1545816769.910 * * [misc]simplify: iters left: 3 (4 enodes) 1545816769.911 * * [misc]simplify: iters left: 2 (6 enodes) 1545816769.912 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1545816769.912 * [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)))) 1545816769.912 * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # 1545816769.913 * [enter]simplify: Simplifying (pow PI 1/2) 1545816769.913 * * [misc]simplify: iters left: 1 (3 enodes) 1545816769.914 * [exit]simplify: Simplified to (sqrt PI) 1545816769.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545816769.914 * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # 1545816769.914 * [enter]simplify: Simplifying (pow PI 1/2) 1545816769.914 * * [misc]simplify: iters left: 1 (3 enodes) 1545816769.915 * [exit]simplify: Simplified to (sqrt PI) 1545816769.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (* (pow PI (- (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))) 1545816769.915 * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # 1545816769.915 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545816769.915 * * [misc]simplify: iters left: 6 (9 enodes) 1545816769.918 * * [misc]simplify: iters left: 5 (11 enodes) 1545816769.921 * * [misc]simplify: iters left: 4 (14 enodes) 1545816769.924 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1545816769.924 * [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))))) 1545816769.924 * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # 1545816769.925 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1545816769.925 * * [misc]simplify: iters left: 6 (8 enodes) 1545816769.927 * * [misc]simplify: iters left: 5 (10 enodes) 1545816769.929 * * [misc]simplify: iters left: 4 (13 enodes) 1545816769.933 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1545816769.933 * [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))))) 1545816769.933 * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # 1545816769.933 * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # 1545816769.933 * [enter]simplify: Simplifying (sqrt k) 1545816769.933 * * [misc]simplify: iters left: 1 (2 enodes) 1545816769.934 * [exit]simplify: Simplified to (sqrt k) 1545816769.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k))) 1545816769.934 * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # 1545816769.934 * [enter]simplify: Simplifying (* (pow PI 1/2) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))) 1545816769.934 * * [misc]simplify: iters left: 6 (13 enodes) 1545816769.938 * * [misc]simplify: iters left: 5 (20 enodes) 1545816769.942 * * [misc]simplify: iters left: 4 (27 enodes) 1545816769.949 * * [misc]simplify: iters left: 3 (29 enodes) 1545816769.953 * * [misc]simplify: iters left: 2 (31 enodes) 1545816769.957 * * [misc]simplify: iters left: 1 (32 enodes) 1545816769.961 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1545816769.961 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) 1545816769.961 * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # 1545816769.961 * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # 1545816769.961 * [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))))) 1545816769.962 * * [misc]simplify: iters left: 6 (35 enodes) 1545816769.970 * * [misc]simplify: iters left: 5 (99 enodes) 1545816769.989 * * [misc]simplify: iters left: 4 (298 enodes) 1545816770.121 * [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))) (* (* (* k k) (log n)) (* (log n) 1/8)))))) 1545816770.121 * [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))) (* (* (* k k) (log n)) (* (log n) 1/8)))))) (sqrt k)))) 1545816770.121 * * * * [misc]progress: [ 123 / 133 ] simplifiying candidate # 1545816770.121 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1545816770.121 * * [misc]simplify: iters left: 6 (13 enodes) 1545816770.127 * * [misc]simplify: iters left: 5 (27 enodes) 1545816770.136 * * [misc]simplify: iters left: 4 (53 enodes) 1545816770.155 * * [misc]simplify: iters left: 3 (112 enodes) 1545816770.190 * * [misc]simplify: iters left: 2 (348 enodes) 1545816770.414 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1545816770.414 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (sqrt (* n 2)) (- 1 k)) (sqrt k)))) 1545816770.414 * * * * [misc]progress: [ 124 / 133 ] simplifiying candidate # 1545816770.415 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1545816770.415 * * [misc]simplify: iters left: 6 (13 enodes) 1545816770.421 * * [misc]simplify: iters left: 5 (24 enodes) 1545816770.427 * * [misc]simplify: iters left: 4 (54 enodes) 1545816770.438 * * [misc]simplify: iters left: 3 (143 enodes) 1545816770.486 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1545816770.486 * [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)))) 1545816770.486 * * * * [misc]progress: [ 125 / 133 ] simplifiying candidate # 1545816770.486 * [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)))) 1545816770.486 * * [misc]simplify: iters left: 6 (18 enodes) 1545816770.489 * * [misc]simplify: iters left: 5 (39 enodes) 1545816770.496 * * [misc]simplify: iters left: 4 (104 enodes) 1545816770.534 * * [misc]simplify: iters left: 3 (270 enodes) 1545816770.638 * [exit]simplify: Simplified to (* (+ (+ 1 (* (* k -1/2) (log PI))) (* (* (* 1/8 k) (log PI)) (* k (log PI)))) (sqrt PI)) 1545816770.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (+ (+ 1 (* (* k -1/2) (log PI))) (* (* (* 1/8 k) (log PI)) (* k (log PI)))) (sqrt PI)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816770.639 * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # 1545816770.639 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545816770.639 * * [misc]simplify: iters left: 5 (6 enodes) 1545816770.640 * * [misc]simplify: iters left: 4 (9 enodes) 1545816770.642 * * [misc]simplify: iters left: 3 (17 enodes) 1545816770.644 * * [misc]simplify: iters left: 2 (20 enodes) 1545816770.646 * * [misc]simplify: iters left: 1 (24 enodes) 1545816770.655 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545816770.655 * [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)))) 1545816770.655 * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # 1545816770.655 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545816770.655 * * [misc]simplify: iters left: 5 (6 enodes) 1545816770.657 * * [misc]simplify: iters left: 4 (9 enodes) 1545816770.660 * * [misc]simplify: iters left: 3 (17 enodes) 1545816770.662 * * [misc]simplify: iters left: 2 (20 enodes) 1545816770.664 * * [misc]simplify: iters left: 1 (24 enodes) 1545816770.669 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545816770.670 * [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)))) 1545816770.670 * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # 1545816770.670 * [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)))))))))))))))))))))) 1545816770.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816770.670 * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # 1545816770.670 * [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)))))))) 1545816770.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816770.670 * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # 1545816770.670 * [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))))))) 1545816770.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816770.670 * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # 1545816770.670 * [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))))))))))))))) 1545816770.671 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816770.671 * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # 1545816770.671 * [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)))))))) 1545816770.671 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816770.671 * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # 1545816770.671 * [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)))))))) 1545816770.671 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1545816770.671 * * * [misc]progress: adding candidates to table 1545816772.650 * * [misc]progress: iteration 4 / 4 1545816772.650 * * * [misc]progress: picking best candidate 1545816772.695 * * * * [misc]pick: Picked # 1545816772.696 * * * [misc]progress: localizing error 1545816772.730 * * * [misc]progress: generating rewritten candidates 1545816772.730 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) 1545816772.731 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) 1545816772.733 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1545816772.747 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) 1545816772.760 * * * [misc]progress: generating series expansions 1545816772.760 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) 1545816772.760 * [misc]backup-simplify: Simplify (pow n (- 1/2 (/ k 2))) into (pow n (- 1/2 (* 1/2 k))) 1545816772.760 * [misc]approximate: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in (n k) around 0 1545816772.760 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.760 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.760 * [misc]taylor: Taking taylor expansion of k in k 1545816772.760 * [misc]backup-simplify: Simplify 0 into 0 1545816772.760 * [misc]backup-simplify: Simplify 1 into 1 1545816772.760 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.760 * [misc]taylor: Taking taylor expansion of n in k 1545816772.760 * [misc]backup-simplify: Simplify n into n 1545816772.760 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.761 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.761 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.761 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.761 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816772.761 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816772.761 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816772.761 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816772.761 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816772.761 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.761 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.762 * [misc]taylor: Taking taylor expansion of k in n 1545816772.762 * [misc]backup-simplify: Simplify k into k 1545816772.762 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816772.762 * [misc]taylor: Taking taylor expansion of n in n 1545816772.762 * [misc]backup-simplify: Simplify 0 into 0 1545816772.762 * [misc]backup-simplify: Simplify 1 into 1 1545816772.762 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.762 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.762 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.762 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.762 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816772.763 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816772.763 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.763 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.763 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.763 * [misc]taylor: Taking taylor expansion of k in n 1545816772.763 * [misc]backup-simplify: Simplify k into k 1545816772.763 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816772.763 * [misc]taylor: Taking taylor expansion of n in n 1545816772.763 * [misc]backup-simplify: Simplify 0 into 0 1545816772.763 * [misc]backup-simplify: Simplify 1 into 1 1545816772.763 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.763 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.763 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.764 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.764 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.764 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816772.764 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816772.764 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816772.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816772.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816772.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.764 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.764 * [misc]taylor: Taking taylor expansion of k in k 1545816772.764 * [misc]backup-simplify: Simplify 0 into 0 1545816772.764 * [misc]backup-simplify: Simplify 1 into 1 1545816772.764 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.765 * [misc]taylor: Taking taylor expansion of n in k 1545816772.765 * [misc]backup-simplify: Simplify n into n 1545816772.765 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.765 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.765 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.765 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.765 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816772.765 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816772.765 * [misc]backup-simplify: Simplify (pow n 1/2) into (pow n 1/2) 1545816772.768 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816772.768 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816772.769 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.769 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.769 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545816772.770 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816772.770 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.770 * [misc]backup-simplify: Simplify 0 into 0 1545816772.770 * [misc]backup-simplify: Simplify 0 into 0 1545816772.771 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816772.772 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816772.772 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.772 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.772 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545816772.772 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545816772.773 * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n))) 1545816772.778 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816772.778 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816772.778 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.778 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.779 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.779 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545816772.781 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816772.781 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.781 * [misc]backup-simplify: Simplify 0 into 0 1545816772.781 * [misc]backup-simplify: Simplify 0 into 0 1545816772.781 * [misc]backup-simplify: Simplify 0 into 0 1545816772.783 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816772.783 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816772.783 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.783 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.784 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545816772.785 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545816772.785 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545816772.786 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545816772.786 * [misc]backup-simplify: Simplify (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.786 * [misc]approximate: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1545816772.786 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816772.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545816772.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545816772.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816772.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.786 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.786 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.787 * [misc]taylor: Taking taylor expansion of k in k 1545816772.787 * [misc]backup-simplify: Simplify 0 into 0 1545816772.787 * [misc]backup-simplify: Simplify 1 into 1 1545816772.787 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.787 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545816772.787 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545816772.787 * [misc]taylor: Taking taylor expansion of n in k 1545816772.787 * [misc]backup-simplify: Simplify n into n 1545816772.787 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545816772.787 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545816772.787 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.788 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.788 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.788 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545816772.788 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.788 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.788 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.788 * [misc]taylor: Taking taylor expansion of k in n 1545816772.788 * [misc]backup-simplify: Simplify k into k 1545816772.788 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.788 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816772.789 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816772.789 * [misc]taylor: Taking taylor expansion of n in n 1545816772.789 * [misc]backup-simplify: Simplify 0 into 0 1545816772.789 * [misc]backup-simplify: Simplify 1 into 1 1545816772.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.789 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.789 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816772.789 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816772.789 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816772.789 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816772.790 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816772.790 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816772.790 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.790 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of k in n 1545816772.790 * [misc]backup-simplify: Simplify k into k 1545816772.790 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.790 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816772.790 * [misc]taylor: Taking taylor expansion of n in n 1545816772.790 * [misc]backup-simplify: Simplify 0 into 0 1545816772.790 * [misc]backup-simplify: Simplify 1 into 1 1545816772.791 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.791 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.791 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816772.791 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816772.791 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816772.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816772.791 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816772.792 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816772.792 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of -1 in k 1545816772.792 * [misc]backup-simplify: Simplify -1 into -1 1545816772.792 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of k in k 1545816772.792 * [misc]backup-simplify: Simplify 0 into 0 1545816772.792 * [misc]backup-simplify: Simplify 1 into 1 1545816772.792 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.792 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.792 * [misc]taylor: Taking taylor expansion of n in k 1545816772.792 * [misc]backup-simplify: Simplify n into n 1545816772.792 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.793 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.793 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.793 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.793 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545816772.793 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545816772.793 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816772.793 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816772.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816772.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816772.796 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816772.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816772.797 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816772.797 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545816772.799 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816772.799 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.799 * [misc]backup-simplify: Simplify 0 into 0 1545816772.799 * [misc]backup-simplify: Simplify 0 into 0 1545816772.799 * [misc]backup-simplify: Simplify 0 into 0 1545816772.799 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816772.804 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816772.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816772.804 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.805 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816772.805 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545816772.807 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816772.807 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.807 * [misc]backup-simplify: Simplify 0 into 0 1545816772.807 * [misc]backup-simplify: Simplify 0 into 0 1545816772.807 * [misc]backup-simplify: Simplify 0 into 0 1545816772.807 * [misc]backup-simplify: Simplify 0 into 0 1545816772.808 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816772.815 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545816772.815 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.816 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816772.816 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.816 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816772.817 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545816772.820 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816772.820 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.820 * [misc]backup-simplify: Simplify 0 into 0 1545816772.820 * [misc]backup-simplify: Simplify 0 into 0 1545816772.820 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) into (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545816772.820 * [misc]backup-simplify: Simplify (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.820 * [misc]approximate: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1545816772.820 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.820 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.820 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.820 * [misc]taylor: Taking taylor expansion of k in k 1545816772.820 * [misc]backup-simplify: Simplify 0 into 0 1545816772.820 * [misc]backup-simplify: Simplify 1 into 1 1545816772.821 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.821 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.821 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545816772.821 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545816772.821 * [misc]taylor: Taking taylor expansion of -1 in k 1545816772.821 * [misc]backup-simplify: Simplify -1 into -1 1545816772.821 * [misc]taylor: Taking taylor expansion of n in k 1545816772.821 * [misc]backup-simplify: Simplify n into n 1545816772.821 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545816772.821 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545816772.821 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.821 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.821 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545816772.821 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.821 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of k in n 1545816772.821 * [misc]backup-simplify: Simplify k into k 1545816772.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.821 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816772.821 * [misc]taylor: Taking taylor expansion of -1 in n 1545816772.821 * [misc]backup-simplify: Simplify -1 into -1 1545816772.821 * [misc]taylor: Taking taylor expansion of n in n 1545816772.821 * [misc]backup-simplify: Simplify 0 into 0 1545816772.822 * [misc]backup-simplify: Simplify 1 into 1 1545816772.822 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816772.822 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816772.822 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816772.822 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816772.822 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816772.822 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816772.822 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816772.822 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.823 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.823 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of k in n 1545816772.823 * [misc]backup-simplify: Simplify k into k 1545816772.823 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.823 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.823 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.823 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816772.823 * [misc]taylor: Taking taylor expansion of -1 in n 1545816772.823 * [misc]backup-simplify: Simplify -1 into -1 1545816772.823 * [misc]taylor: Taking taylor expansion of n in n 1545816772.823 * [misc]backup-simplify: Simplify 0 into 0 1545816772.823 * [misc]backup-simplify: Simplify 1 into 1 1545816772.823 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816772.823 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816772.823 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816772.823 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816772.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816772.824 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816772.827 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816772.827 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.827 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of k in k 1545816772.827 * [misc]backup-simplify: Simplify 0 into 0 1545816772.827 * [misc]backup-simplify: Simplify 1 into 1 1545816772.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.827 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of -1 in k 1545816772.827 * [misc]backup-simplify: Simplify -1 into -1 1545816772.827 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816772.827 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.827 * [misc]taylor: Taking taylor expansion of n in k 1545816772.827 * [misc]backup-simplify: Simplify n into n 1545816772.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.828 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.828 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.828 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816772.828 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545816772.828 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545816772.828 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816772.828 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816772.829 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816772.830 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545816772.830 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816772.830 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816772.831 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.831 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816772.831 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545816772.832 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816772.832 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.832 * [misc]backup-simplify: Simplify 0 into 0 1545816772.832 * [misc]backup-simplify: Simplify 0 into 0 1545816772.832 * [misc]backup-simplify: Simplify 0 into 0 1545816772.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816772.835 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545816772.835 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.835 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816772.835 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816772.836 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545816772.837 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816772.837 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.837 * [misc]backup-simplify: Simplify 0 into 0 1545816772.837 * [misc]backup-simplify: Simplify 0 into 0 1545816772.837 * [misc]backup-simplify: Simplify 0 into 0 1545816772.837 * [misc]backup-simplify: Simplify 0 into 0 1545816772.837 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816772.841 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1545816772.841 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.842 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816772.842 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.842 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816772.842 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545816772.844 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816772.845 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.845 * [misc]backup-simplify: Simplify 0 into 0 1545816772.845 * [misc]backup-simplify: Simplify 0 into 0 1545816772.845 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545816772.845 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) 1545816772.845 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1545816772.845 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1545816772.845 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.845 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.845 * [misc]taylor: Taking taylor expansion of k in k 1545816772.845 * [misc]backup-simplify: Simplify 0 into 0 1545816772.845 * [misc]backup-simplify: Simplify 1 into 1 1545816772.845 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.845 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.845 * [misc]backup-simplify: Simplify PI into PI 1545816772.846 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.846 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.846 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.846 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.846 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816772.847 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816772.847 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.847 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.847 * [misc]taylor: Taking taylor expansion of k in k 1545816772.847 * [misc]backup-simplify: Simplify 0 into 0 1545816772.847 * [misc]backup-simplify: Simplify 1 into 1 1545816772.847 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.847 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.847 * [misc]backup-simplify: Simplify PI into PI 1545816772.847 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.847 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.847 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.847 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.848 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816772.848 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1545816772.848 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1545816772.850 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1545816772.850 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816772.850 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.850 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.851 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1545816772.852 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1545816772.853 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1545816772.856 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1545816772.856 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816772.856 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1545816772.859 * [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))) 1545816772.860 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1545816772.862 * [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)))) 1545816772.862 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.862 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1545816772.862 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.862 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.862 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.862 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of k in k 1545816772.862 * [misc]backup-simplify: Simplify 0 into 0 1545816772.862 * [misc]backup-simplify: Simplify 1 into 1 1545816772.862 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.862 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.862 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.862 * [misc]backup-simplify: Simplify PI into PI 1545816772.862 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.863 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.863 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.863 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.863 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816772.863 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.863 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.863 * [misc]taylor: Taking taylor expansion of k in k 1545816772.863 * [misc]backup-simplify: Simplify 0 into 0 1545816772.863 * [misc]backup-simplify: Simplify 1 into 1 1545816772.864 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.864 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.864 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.864 * [misc]backup-simplify: Simplify PI into PI 1545816772.864 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.864 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.864 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.864 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.864 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1545816772.865 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.865 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1545816772.865 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.865 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1545816772.865 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of k in k 1545816772.865 * [misc]backup-simplify: Simplify 0 into 0 1545816772.865 * [misc]backup-simplify: Simplify 1 into 1 1545816772.865 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.865 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.865 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.865 * [misc]backup-simplify: Simplify PI into PI 1545816772.866 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.866 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.866 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.866 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816772.866 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.866 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816772.866 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1545816772.866 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1545816772.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816772.867 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816772.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.867 * [misc]taylor: Taking taylor expansion of k in k 1545816772.867 * [misc]backup-simplify: Simplify 0 into 0 1545816772.867 * [misc]backup-simplify: Simplify 1 into 1 1545816772.867 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.867 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.867 * [misc]taylor: Taking taylor expansion of (log PI) in k 1545816772.867 * [misc]taylor: Taking taylor expansion of PI in k 1545816772.867 * [misc]backup-simplify: Simplify PI into PI 1545816772.867 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1545816772.867 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816772.867 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.868 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1545816772.868 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.868 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1545816772.868 * [misc]backup-simplify: Simplify 0 into 0 1545816772.868 * [misc]backup-simplify: Simplify 0 into 0 1545816772.868 * [misc]backup-simplify: Simplify 0 into 0 1545816772.868 * [misc]backup-simplify: Simplify 0 into 0 1545816772.869 * [misc]backup-simplify: Simplify 0 into 0 1545816772.869 * [misc]backup-simplify: Simplify 0 into 0 1545816772.869 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1545816772.869 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1545816772.869 * [misc]backup-simplify: Simplify (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1545816772.869 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0 1545816772.869 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.870 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.870 * [misc]taylor: Taking taylor expansion of k in k 1545816772.870 * [misc]backup-simplify: Simplify 0 into 0 1545816772.870 * [misc]backup-simplify: Simplify 1 into 1 1545816772.870 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.870 * [misc]taylor: Taking taylor expansion of n in k 1545816772.870 * [misc]backup-simplify: Simplify n into n 1545816772.870 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.870 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.870 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.870 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.870 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816772.871 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816772.871 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.871 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.871 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.871 * [misc]taylor: Taking taylor expansion of k in k 1545816772.871 * [misc]backup-simplify: Simplify 0 into 0 1545816772.871 * [misc]backup-simplify: Simplify 1 into 1 1545816772.871 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816772.871 * [misc]taylor: Taking taylor expansion of 2 in k 1545816772.871 * [misc]backup-simplify: Simplify 2 into 2 1545816772.871 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816772.871 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.871 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.872 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.872 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545816772.872 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545816772.873 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816772.873 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.873 * [misc]taylor: Taking taylor expansion of k in k 1545816772.873 * [misc]backup-simplify: Simplify 0 into 0 1545816772.873 * [misc]backup-simplify: Simplify 1 into 1 1545816772.873 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.873 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816772.874 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816772.874 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.874 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.874 * [misc]taylor: Taking taylor expansion of k in n 1545816772.874 * [misc]backup-simplify: Simplify k into k 1545816772.874 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816772.874 * [misc]taylor: Taking taylor expansion of n in n 1545816772.874 * [misc]backup-simplify: Simplify 0 into 0 1545816772.874 * [misc]backup-simplify: Simplify 1 into 1 1545816772.874 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.874 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.874 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.874 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.875 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.875 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816772.875 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816772.875 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.875 * [misc]taylor: Taking taylor expansion of k in n 1545816772.875 * [misc]backup-simplify: Simplify k into k 1545816772.875 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816772.875 * [misc]taylor: Taking taylor expansion of 2 in n 1545816772.875 * [misc]backup-simplify: Simplify 2 into 2 1545816772.875 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816772.876 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.876 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.876 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.876 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545816772.876 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545816772.876 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816772.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.876 * [misc]taylor: Taking taylor expansion of k in n 1545816772.876 * [misc]backup-simplify: Simplify k into k 1545816772.876 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.876 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816772.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816772.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816772.877 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.877 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.877 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.877 * [misc]taylor: Taking taylor expansion of k in n 1545816772.877 * [misc]backup-simplify: Simplify k into k 1545816772.877 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816772.877 * [misc]taylor: Taking taylor expansion of n in n 1545816772.877 * [misc]backup-simplify: Simplify 0 into 0 1545816772.877 * [misc]backup-simplify: Simplify 1 into 1 1545816772.877 * [misc]backup-simplify: Simplify (log 1) into 0 1545816772.877 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.877 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.877 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.878 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.878 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816772.878 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816772.878 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.878 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816772.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.878 * [misc]taylor: Taking taylor expansion of k in n 1545816772.878 * [misc]backup-simplify: Simplify k into k 1545816772.878 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816772.878 * [misc]taylor: Taking taylor expansion of 2 in n 1545816772.878 * [misc]backup-simplify: Simplify 2 into 2 1545816772.879 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816772.879 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816772.879 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816772.879 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816772.879 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545816772.879 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545816772.879 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1545816772.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816772.879 * [misc]taylor: Taking taylor expansion of k in n 1545816772.880 * [misc]backup-simplify: Simplify k into k 1545816772.880 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816772.880 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1545816772.880 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816772.880 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1545816772.880 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) into (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816772.881 * [misc]backup-simplify: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) into (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) 1545816772.881 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.881 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.881 * [misc]taylor: Taking taylor expansion of k in k 1545816772.881 * [misc]backup-simplify: Simplify 0 into 0 1545816772.881 * [misc]backup-simplify: Simplify 1 into 1 1545816772.881 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816772.881 * [misc]taylor: Taking taylor expansion of n in k 1545816772.881 * [misc]backup-simplify: Simplify n into n 1545816772.881 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816772.882 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.882 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.882 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816772.882 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816772.882 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k 1545816772.882 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k 1545816772.882 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816772.882 * [misc]taylor: Taking taylor expansion of 2 in k 1545816772.882 * [misc]backup-simplify: Simplify 2 into 2 1545816772.882 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816772.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816772.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.882 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816772.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816772.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816772.883 * [misc]taylor: Taking taylor expansion of k in k 1545816772.883 * [misc]backup-simplify: Simplify 0 into 0 1545816772.883 * [misc]backup-simplify: Simplify 1 into 1 1545816772.883 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816772.883 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.883 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816772.883 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1545816772.884 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545816772.884 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1545816772.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816772.884 * [misc]taylor: Taking taylor expansion of k in k 1545816772.884 * [misc]backup-simplify: Simplify 0 into 0 1545816772.884 * [misc]backup-simplify: Simplify 1 into 1 1545816772.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816772.884 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816772.885 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816772.885 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545816772.885 * [misc]backup-simplify: Simplify (* (sqrt (* n 2)) 0) into 0 1545816772.885 * [misc]backup-simplify: Simplify 0 into 0 1545816772.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816772.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816772.889 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.889 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.890 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0 1545816772.891 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816772.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816772.894 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816772.894 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.894 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.895 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.895 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545816772.896 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816772.897 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) into 0 1545816772.897 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 0) (* 0 (sqrt (/ 1 k)))) into 0 1545816772.897 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.897 * [misc]backup-simplify: Simplify 0 into 0 1545816772.897 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816772.898 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.898 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.900 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816772.901 * [misc]backup-simplify: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2))) 1545816772.904 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545816772.905 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816772.905 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816772.906 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816772.906 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816772.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545816772.906 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545816772.908 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545816772.909 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n 2)) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt n)))) 1545816772.909 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt n)))) into (- (* +nan.0 (* (sqrt 2) (sqrt n)))) 1545816772.909 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.911 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1545816772.916 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816772.916 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816772.916 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.917 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816772.919 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816772.923 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816772.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816772.924 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.924 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.924 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.924 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545816772.926 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816772.927 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k))))))) into 0 1545816772.928 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0 1545816772.928 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.928 * [misc]backup-simplify: Simplify 0 into 0 1545816772.928 * [misc]backup-simplify: Simplify 0 into 0 1545816772.928 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816772.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816772.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816772.930 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.930 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.934 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816772.934 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545816772.938 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545816772.940 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816772.940 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816772.940 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.941 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.941 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545816772.942 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545816772.945 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545816772.948 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n)))))))) 1545816772.950 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n)))))))) 1545816772.950 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816772.950 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1545816772.957 * [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 1545816772.958 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545816772.958 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.959 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545816772.962 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816772.970 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545816772.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1545816772.971 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816772.972 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545816772.975 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816772.976 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))))) into 0 1545816772.977 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0 1545816772.977 * [misc]taylor: Taking taylor expansion of 0 in k 1545816772.977 * [misc]backup-simplify: Simplify 0 into 0 1545816772.977 * [misc]backup-simplify: Simplify 0 into 0 1545816772.977 * [misc]backup-simplify: Simplify 0 into 0 1545816772.977 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816772.978 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816772.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816772.979 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.983 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1545816772.983 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1545816772.987 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1545816772.989 * [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 1545816772.989 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1545816772.989 * [misc]backup-simplify: Simplify (- 0) into 0 1545816772.989 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816772.990 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1545816772.991 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1545816772.993 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (pow 2 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))))))) 1545816772.998 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))))))) 0)))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))))))))))) 1545816773.001 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))))))))))) 1545816773.006 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt n))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt n)))))))) (* k 1)) (- (* +nan.0 (* (sqrt 2) (sqrt n)))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n)))))))))))))))))))))) 1545816773.007 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1545816773.007 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0 1545816773.007 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.007 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.007 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of k in k 1545816773.007 * [misc]backup-simplify: Simplify 0 into 0 1545816773.007 * [misc]backup-simplify: Simplify 1 into 1 1545816773.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.007 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.007 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.007 * [misc]backup-simplify: Simplify 2 into 2 1545816773.007 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.008 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545816773.008 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.008 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of k in k 1545816773.008 * [misc]backup-simplify: Simplify 0 into 0 1545816773.008 * [misc]backup-simplify: Simplify 1 into 1 1545816773.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.008 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545816773.008 * [misc]taylor: Taking taylor expansion of n in k 1545816773.008 * [misc]backup-simplify: Simplify n into n 1545816773.008 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545816773.008 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545816773.008 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.008 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.009 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.009 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545816773.009 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.009 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816773.009 * [misc]taylor: Taking taylor expansion of k in k 1545816773.009 * [misc]backup-simplify: Simplify 0 into 0 1545816773.009 * [misc]backup-simplify: Simplify 1 into 1 1545816773.009 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816773.009 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816773.009 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.009 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of k in n 1545816773.010 * [misc]backup-simplify: Simplify k into k 1545816773.010 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.010 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.010 * [misc]backup-simplify: Simplify 2 into 2 1545816773.010 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.010 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.010 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.010 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.010 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.010 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.010 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.010 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.010 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.010 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.010 * [misc]taylor: Taking taylor expansion of k in n 1545816773.010 * [misc]backup-simplify: Simplify k into k 1545816773.011 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.011 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816773.011 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816773.011 * [misc]taylor: Taking taylor expansion of n in n 1545816773.011 * [misc]backup-simplify: Simplify 0 into 0 1545816773.011 * [misc]backup-simplify: Simplify 1 into 1 1545816773.011 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.011 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.011 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.011 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.011 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.011 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.011 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816773.011 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.011 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816773.011 * [misc]taylor: Taking taylor expansion of k in n 1545816773.011 * [misc]backup-simplify: Simplify k into k 1545816773.011 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816773.011 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816773.011 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.012 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.012 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.012 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of k in n 1545816773.012 * [misc]backup-simplify: Simplify k into k 1545816773.012 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.012 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.012 * [misc]backup-simplify: Simplify 2 into 2 1545816773.012 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.012 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.012 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.012 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.012 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.012 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.012 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816773.012 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of k in n 1545816773.013 * [misc]backup-simplify: Simplify k into k 1545816773.013 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.013 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of n in n 1545816773.013 * [misc]backup-simplify: Simplify 0 into 0 1545816773.013 * [misc]backup-simplify: Simplify 1 into 1 1545816773.013 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.013 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.013 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.013 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.013 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.013 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816773.013 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.013 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1545816773.013 * [misc]taylor: Taking taylor expansion of k in n 1545816773.013 * [misc]backup-simplify: Simplify k into k 1545816773.014 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1545816773.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1545816773.014 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816773.014 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) 1545816773.014 * [misc]taylor: Taking taylor expansion of (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.014 * [misc]backup-simplify: Simplify -1 into -1 1545816773.014 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.014 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.014 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.014 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.014 * [misc]taylor: Taking taylor expansion of k in k 1545816773.014 * [misc]backup-simplify: Simplify 0 into 0 1545816773.014 * [misc]backup-simplify: Simplify 1 into 1 1545816773.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.015 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of n in k 1545816773.015 * [misc]backup-simplify: Simplify n into n 1545816773.015 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.015 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.015 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.015 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.015 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545816773.015 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545816773.015 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.015 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.015 * [misc]backup-simplify: Simplify 2 into 2 1545816773.015 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.015 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.016 * [misc]taylor: Taking taylor expansion of k in k 1545816773.016 * [misc]backup-simplify: Simplify 0 into 0 1545816773.016 * [misc]backup-simplify: Simplify 1 into 1 1545816773.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.016 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.016 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.016 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.016 * [misc]backup-simplify: Simplify (* (log 2) -1/2) into (* -1/2 (log 2)) 1545816773.016 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.016 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1545816773.016 * [misc]taylor: Taking taylor expansion of k in k 1545816773.016 * [misc]backup-simplify: Simplify 0 into 0 1545816773.016 * [misc]backup-simplify: Simplify 1 into 1 1545816773.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816773.017 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1545816773.017 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816773.017 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1545816773.017 * [misc]backup-simplify: Simplify 0 into 0 1545816773.018 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816773.019 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816773.019 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.020 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.020 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.020 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.020 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545816773.021 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.022 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.022 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.023 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0 1545816773.023 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.024 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545816773.024 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (* 0 (sqrt k))) into 0 1545816773.024 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.024 * [misc]backup-simplify: Simplify 0 into 0 1545816773.024 * [misc]backup-simplify: Simplify 0 into 0 1545816773.024 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545816773.025 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.025 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.026 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1545816773.026 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.028 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816773.028 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.029 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.029 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.029 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.029 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545816773.030 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.034 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.034 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.034 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.034 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.035 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.035 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816773.037 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.038 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545816773.038 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0 1545816773.039 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.039 * [misc]backup-simplify: Simplify 0 into 0 1545816773.039 * [misc]backup-simplify: Simplify 0 into 0 1545816773.039 * [misc]backup-simplify: Simplify 0 into 0 1545816773.040 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816773.040 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545816773.041 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.042 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.042 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1545816773.043 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.047 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545816773.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.048 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.048 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.049 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545816773.051 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.055 * [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 1545816773.055 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.055 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.056 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545816773.058 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.058 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1545816773.059 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0 1545816773.059 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.059 * [misc]backup-simplify: Simplify 0 into 0 1545816773.059 * [misc]backup-simplify: Simplify 0 into 0 1545816773.059 * [misc]backup-simplify: Simplify 0 into 0 1545816773.059 * [misc]backup-simplify: Simplify 0 into 0 1545816773.060 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816773.060 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1545816773.061 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.061 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1545816773.062 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545816773.063 * [misc]backup-simplify: Simplify (/ (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1545816773.063 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0 1545816773.063 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of k in k 1545816773.063 * [misc]backup-simplify: Simplify 0 into 0 1545816773.063 * [misc]backup-simplify: Simplify 1 into 1 1545816773.063 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.063 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.063 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545816773.063 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.063 * [misc]backup-simplify: Simplify -1 into -1 1545816773.063 * [misc]taylor: Taking taylor expansion of n in k 1545816773.063 * [misc]backup-simplify: Simplify n into n 1545816773.063 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545816773.063 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545816773.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.063 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.064 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545816773.064 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.064 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.064 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of k in k 1545816773.064 * [misc]backup-simplify: Simplify 0 into 0 1545816773.064 * [misc]backup-simplify: Simplify 1 into 1 1545816773.064 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.064 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.064 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.064 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.064 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.064 * [misc]backup-simplify: Simplify 2 into 2 1545816773.064 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.064 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.064 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.065 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545816773.065 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.065 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816773.065 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816773.065 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.065 * [misc]backup-simplify: Simplify -1 into -1 1545816773.065 * [misc]taylor: Taking taylor expansion of k in k 1545816773.065 * [misc]backup-simplify: Simplify 0 into 0 1545816773.065 * [misc]backup-simplify: Simplify 1 into 1 1545816773.065 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.065 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816773.065 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816773.066 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.066 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)))) 1545816773.066 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of k in n 1545816773.066 * [misc]backup-simplify: Simplify k into k 1545816773.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.066 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816773.066 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.066 * [misc]backup-simplify: Simplify -1 into -1 1545816773.066 * [misc]taylor: Taking taylor expansion of n in n 1545816773.066 * [misc]backup-simplify: Simplify 0 into 0 1545816773.066 * [misc]backup-simplify: Simplify 1 into 1 1545816773.067 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.067 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.067 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.067 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816773.068 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.068 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of k in n 1545816773.068 * [misc]backup-simplify: Simplify k into k 1545816773.068 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.068 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.068 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.068 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.068 * [misc]backup-simplify: Simplify 2 into 2 1545816773.068 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.068 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.068 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.069 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.070 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.071 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816773.071 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816773.071 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.071 * [misc]backup-simplify: Simplify -1 into -1 1545816773.071 * [misc]taylor: Taking taylor expansion of k in n 1545816773.071 * [misc]backup-simplify: Simplify k into k 1545816773.071 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816773.071 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816773.071 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816773.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816773.072 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.073 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1545816773.073 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.073 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of k in n 1545816773.073 * [misc]backup-simplify: Simplify k into k 1545816773.073 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.073 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.073 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816773.073 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.073 * [misc]backup-simplify: Simplify -1 into -1 1545816773.073 * [misc]taylor: Taking taylor expansion of n in n 1545816773.073 * [misc]backup-simplify: Simplify 0 into 0 1545816773.073 * [misc]backup-simplify: Simplify 1 into 1 1545816773.073 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.074 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.074 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.074 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.074 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.075 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816773.075 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.075 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of k in n 1545816773.075 * [misc]backup-simplify: Simplify k into k 1545816773.075 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.075 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.075 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.076 * [misc]backup-simplify: Simplify 2 into 2 1545816773.076 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.076 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.076 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.076 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.076 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.077 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1545816773.077 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1545816773.077 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.077 * [misc]backup-simplify: Simplify -1 into -1 1545816773.077 * [misc]taylor: Taking taylor expansion of k in n 1545816773.077 * [misc]backup-simplify: Simplify k into k 1545816773.077 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1545816773.077 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1545816773.077 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1545816773.077 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1545816773.078 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.078 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) 1545816773.079 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.079 * [misc]backup-simplify: Simplify 2 into 2 1545816773.079 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.079 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.079 * [misc]taylor: Taking taylor expansion of k in k 1545816773.079 * [misc]backup-simplify: Simplify 0 into 0 1545816773.079 * [misc]backup-simplify: Simplify 1 into 1 1545816773.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.080 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.080 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.080 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1545816773.080 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.080 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545816773.080 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of k in k 1545816773.081 * [misc]backup-simplify: Simplify 0 into 0 1545816773.081 * [misc]backup-simplify: Simplify 1 into 1 1545816773.081 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.081 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.081 * [misc]backup-simplify: Simplify -1 into -1 1545816773.081 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.081 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.081 * [misc]taylor: Taking taylor expansion of n in k 1545816773.081 * [misc]backup-simplify: Simplify n into n 1545816773.081 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.082 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.082 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.082 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816773.082 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545816773.082 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545816773.083 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.083 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1545816773.083 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1545816773.083 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.083 * [misc]backup-simplify: Simplify -1 into -1 1545816773.083 * [misc]taylor: Taking taylor expansion of k in k 1545816773.083 * [misc]backup-simplify: Simplify 0 into 0 1545816773.083 * [misc]backup-simplify: Simplify 1 into 1 1545816773.083 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.083 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1545816773.084 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1545816773.084 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.085 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545816773.085 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1545816773.088 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.088 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.088 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.088 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.089 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0 1545816773.090 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.090 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816773.093 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545816773.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.094 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545816773.095 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.096 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545816773.097 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1545816773.097 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.097 * [misc]backup-simplify: Simplify 0 into 0 1545816773.097 * [misc]backup-simplify: Simplify 0 into 0 1545816773.098 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1545816773.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816773.099 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1545816773.100 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545816773.101 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545816773.105 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.106 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.107 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816773.109 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.114 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545816773.115 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.115 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.115 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.115 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.116 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545816773.118 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.119 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545816773.119 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.120 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1545816773.121 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1545816773.121 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.121 * [misc]backup-simplify: Simplify 0 into 0 1545816773.121 * [misc]backup-simplify: Simplify 0 into 0 1545816773.121 * [misc]backup-simplify: Simplify 0 into 0 1545816773.122 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1545816773.122 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.124 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1545816773.125 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545816773.126 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1545816773.129 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1545816773.129 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) 1545816773.129 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) into (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) 1545816773.130 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in (n k) around 0 1545816773.130 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.130 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.130 * [misc]taylor: Taking taylor expansion of k in k 1545816773.130 * [misc]backup-simplify: Simplify 0 into 0 1545816773.130 * [misc]backup-simplify: Simplify 1 into 1 1545816773.130 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.130 * [misc]taylor: Taking taylor expansion of n in k 1545816773.130 * [misc]backup-simplify: Simplify n into n 1545816773.130 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.130 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816773.130 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.131 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.131 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816773.131 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816773.131 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.131 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.131 * [misc]taylor: Taking taylor expansion of k in k 1545816773.131 * [misc]backup-simplify: Simplify 0 into 0 1545816773.131 * [misc]backup-simplify: Simplify 1 into 1 1545816773.131 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.131 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.131 * [misc]backup-simplify: Simplify 2 into 2 1545816773.131 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.131 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816773.132 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.132 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.132 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545816773.133 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545816773.133 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.133 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.133 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.133 * [misc]taylor: Taking taylor expansion of k in n 1545816773.133 * [misc]backup-simplify: Simplify k into k 1545816773.133 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816773.133 * [misc]taylor: Taking taylor expansion of n in n 1545816773.133 * [misc]backup-simplify: Simplify 0 into 0 1545816773.133 * [misc]backup-simplify: Simplify 1 into 1 1545816773.133 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.133 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816773.133 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816773.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816773.134 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816773.134 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816773.134 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816773.134 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.134 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.134 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.134 * [misc]taylor: Taking taylor expansion of k in n 1545816773.134 * [misc]backup-simplify: Simplify k into k 1545816773.134 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.134 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.134 * [misc]backup-simplify: Simplify 2 into 2 1545816773.135 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.135 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816773.135 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816773.135 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816773.135 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545816773.135 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545816773.135 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1545816773.135 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1545816773.135 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1545816773.135 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1545816773.136 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816773.136 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.136 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816773.136 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.136 * [misc]taylor: Taking taylor expansion of k in n 1545816773.136 * [misc]backup-simplify: Simplify k into k 1545816773.136 * [misc]taylor: Taking taylor expansion of (log n) in n 1545816773.136 * [misc]taylor: Taking taylor expansion of n in n 1545816773.136 * [misc]backup-simplify: Simplify 0 into 0 1545816773.136 * [misc]backup-simplify: Simplify 1 into 1 1545816773.136 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.136 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816773.136 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816773.136 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816773.136 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816773.137 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1545816773.137 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1545816773.137 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.137 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.137 * [misc]taylor: Taking taylor expansion of k in n 1545816773.137 * [misc]backup-simplify: Simplify k into k 1545816773.137 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.137 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.137 * [misc]backup-simplify: Simplify 2 into 2 1545816773.137 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.137 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1545816773.138 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1545816773.138 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1545816773.138 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1545816773.138 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1545816773.139 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) into (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816773.139 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.139 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.139 * [misc]taylor: Taking taylor expansion of k in k 1545816773.139 * [misc]backup-simplify: Simplify 0 into 0 1545816773.139 * [misc]backup-simplify: Simplify 1 into 1 1545816773.139 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.139 * [misc]taylor: Taking taylor expansion of n in k 1545816773.139 * [misc]backup-simplify: Simplify n into n 1545816773.139 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.139 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816773.139 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.140 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.140 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1545816773.140 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1545816773.140 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k 1545816773.140 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k 1545816773.140 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.140 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.140 * [misc]backup-simplify: Simplify 2 into 2 1545816773.140 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1545816773.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.140 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1545816773.140 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.140 * [misc]taylor: Taking taylor expansion of k in k 1545816773.140 * [misc]backup-simplify: Simplify 0 into 0 1545816773.140 * [misc]backup-simplify: Simplify 1 into 1 1545816773.141 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1545816773.141 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.141 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.141 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1545816773.142 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1545816773.142 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow 2 1/2)) into (sqrt (* n 2)) 1545816773.142 * [misc]backup-simplify: Simplify (sqrt (* n 2)) into (* (sqrt 2) (sqrt n)) 1545816773.145 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816773.145 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.146 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0 1545816773.147 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816773.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1545816773.150 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.150 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816773.150 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1545816773.151 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.152 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) into 0 1545816773.152 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.152 * [misc]backup-simplify: Simplify 0 into 0 1545816773.152 * [misc]backup-simplify: Simplify 0 into 0 1545816773.152 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816773.152 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.153 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.155 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.156 * [misc]backup-simplify: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2))) 1545816773.158 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1545816773.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1545816773.159 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1545816773.160 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.160 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.160 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1545816773.160 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1545816773.161 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (* (sqrt n) (log n))) (pow 2 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545816773.162 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) 1545816773.166 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.167 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816773.167 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.167 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.167 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816773.170 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.173 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816773.173 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1545816773.173 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.173 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.173 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1545816773.174 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1545816773.175 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.175 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k))))))) into 0 1545816773.175 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.175 * [misc]backup-simplify: Simplify 0 into 0 1545816773.175 * [misc]backup-simplify: Simplify 0 into 0 1545816773.175 * [misc]backup-simplify: Simplify 0 into 0 1545816773.175 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816773.176 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.178 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.178 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1545816773.180 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1545816773.181 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1545816773.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1545816773.181 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.181 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.182 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1545816773.182 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1545816773.184 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow 2 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545816773.185 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) 1545816773.188 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))) (pow (* k 1) 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))) (* k 1)) (* (sqrt 2) (sqrt n)))) into (- (+ (* (sqrt 2) (sqrt n)) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n))) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))))) 1545816773.188 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.188 * [misc]approximate: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1545816773.188 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.188 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.188 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of k in k 1545816773.188 * [misc]backup-simplify: Simplify 0 into 0 1545816773.188 * [misc]backup-simplify: Simplify 1 into 1 1545816773.188 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.188 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.188 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.188 * [misc]backup-simplify: Simplify 2 into 2 1545816773.188 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.188 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.189 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.189 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.189 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1545816773.189 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.189 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.189 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.189 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.189 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of k in k 1545816773.189 * [misc]backup-simplify: Simplify 0 into 0 1545816773.189 * [misc]backup-simplify: Simplify 1 into 1 1545816773.189 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.189 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1545816773.189 * [misc]taylor: Taking taylor expansion of n in k 1545816773.189 * [misc]backup-simplify: Simplify n into n 1545816773.189 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1545816773.190 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1545816773.190 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.190 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.190 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.190 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1545816773.190 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.190 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.190 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.190 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of k in n 1545816773.190 * [misc]backup-simplify: Simplify k into k 1545816773.190 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.190 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.190 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.190 * [misc]backup-simplify: Simplify 2 into 2 1545816773.190 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.190 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.190 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.191 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.191 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.191 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.191 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.191 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of k in n 1545816773.191 * [misc]backup-simplify: Simplify k into k 1545816773.191 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.191 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816773.191 * [misc]taylor: Taking taylor expansion of n in n 1545816773.191 * [misc]backup-simplify: Simplify 0 into 0 1545816773.191 * [misc]backup-simplify: Simplify 1 into 1 1545816773.191 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.191 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.191 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.192 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.192 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.192 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816773.192 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.192 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.192 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of k in n 1545816773.192 * [misc]backup-simplify: Simplify k into k 1545816773.192 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.192 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.192 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.192 * [misc]backup-simplify: Simplify 2 into 2 1545816773.192 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.192 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.192 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.193 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.193 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1545816773.193 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.193 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.193 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.193 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of k in n 1545816773.193 * [misc]backup-simplify: Simplify k into k 1545816773.193 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.193 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1545816773.193 * [misc]taylor: Taking taylor expansion of n in n 1545816773.193 * [misc]backup-simplify: Simplify 0 into 0 1545816773.193 * [misc]backup-simplify: Simplify 1 into 1 1545816773.193 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.193 * [misc]backup-simplify: Simplify (log 1) into 0 1545816773.193 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.194 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1545816773.194 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1545816773.194 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.194 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1545816773.194 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.194 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816773.194 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.194 * [misc]backup-simplify: Simplify -1 into -1 1545816773.194 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.195 * [misc]taylor: Taking taylor expansion of k in k 1545816773.195 * [misc]backup-simplify: Simplify 0 into 0 1545816773.195 * [misc]backup-simplify: Simplify 1 into 1 1545816773.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.195 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.195 * [misc]taylor: Taking taylor expansion of n in k 1545816773.195 * [misc]backup-simplify: Simplify n into n 1545816773.195 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.195 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.195 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.195 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.195 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1545816773.195 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1545816773.195 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1545816773.195 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k 1545816773.195 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k 1545816773.195 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.195 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.195 * [misc]backup-simplify: Simplify 2 into 2 1545816773.196 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.196 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1545816773.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.196 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.196 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.196 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.196 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.196 * [misc]taylor: Taking taylor expansion of k in k 1545816773.196 * [misc]backup-simplify: Simplify 0 into 0 1545816773.196 * [misc]backup-simplify: Simplify 1 into 1 1545816773.196 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.196 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.196 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1545816773.196 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1545816773.196 * [misc]backup-simplify: Simplify (* (log 2) -1/2) into (* -1/2 (log 2)) 1545816773.197 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1545816773.197 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816773.197 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1545816773.197 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1545816773.199 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1545816773.199 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.199 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.199 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.199 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.199 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.199 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1545816773.200 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.201 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.202 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.202 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.202 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.202 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.202 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0 1545816773.203 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.203 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1545816773.203 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.203 * [misc]backup-simplify: Simplify 0 into 0 1545816773.203 * [misc]backup-simplify: Simplify 0 into 0 1545816773.203 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1545816773.203 * [misc]backup-simplify: Simplify 0 into 0 1545816773.204 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.206 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1545816773.206 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.206 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.207 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.207 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.207 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1545816773.210 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.214 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.214 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.215 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.215 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.215 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.215 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816773.217 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.218 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1545816773.218 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.218 * [misc]backup-simplify: Simplify 0 into 0 1545816773.218 * [misc]backup-simplify: Simplify 0 into 0 1545816773.218 * [misc]backup-simplify: Simplify 0 into 0 1545816773.218 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1545816773.218 * [misc]backup-simplify: Simplify 0 into 0 1545816773.219 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.225 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1545816773.225 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.225 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.225 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.226 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.226 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1545816773.226 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1545816773.230 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.236 * [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 1545816773.236 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.237 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.237 * [misc]backup-simplify: Simplify (- 0) into 0 1545816773.237 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.238 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545816773.241 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.242 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1545816773.242 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.242 * [misc]backup-simplify: Simplify 0 into 0 1545816773.242 * [misc]backup-simplify: Simplify 0 into 0 1545816773.243 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816773.243 * [misc]backup-simplify: Simplify (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.243 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (n k) around 0 1545816773.243 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.243 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.243 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.243 * [misc]taylor: Taking taylor expansion of k in k 1545816773.243 * [misc]backup-simplify: Simplify 0 into 0 1545816773.243 * [misc]backup-simplify: Simplify 1 into 1 1545816773.244 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.244 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.244 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.244 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1545816773.244 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1545816773.244 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.244 * [misc]backup-simplify: Simplify -1 into -1 1545816773.244 * [misc]taylor: Taking taylor expansion of n in k 1545816773.244 * [misc]backup-simplify: Simplify n into n 1545816773.244 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1545816773.244 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1545816773.244 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.244 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.244 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1545816773.244 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.245 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.245 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of k in k 1545816773.245 * [misc]backup-simplify: Simplify 0 into 0 1545816773.245 * [misc]backup-simplify: Simplify 1 into 1 1545816773.245 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.245 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.245 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.245 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.245 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.245 * [misc]backup-simplify: Simplify 2 into 2 1545816773.245 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.245 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.246 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.246 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1545816773.246 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.246 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.247 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.247 * [misc]taylor: Taking taylor expansion of k in n 1545816773.247 * [misc]backup-simplify: Simplify k into k 1545816773.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.247 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.247 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.247 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816773.247 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816773.247 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.247 * [misc]backup-simplify: Simplify -1 into -1 1545816773.247 * [misc]taylor: Taking taylor expansion of n in n 1545816773.247 * [misc]backup-simplify: Simplify 0 into 0 1545816773.247 * [misc]backup-simplify: Simplify 1 into 1 1545816773.247 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.247 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.247 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.247 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.248 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.248 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816773.248 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.248 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of k in n 1545816773.248 * [misc]backup-simplify: Simplify k into k 1545816773.248 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.248 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.248 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.248 * [misc]backup-simplify: Simplify 2 into 2 1545816773.248 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.248 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.249 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.249 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.249 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of k in n 1545816773.249 * [misc]backup-simplify: Simplify k into k 1545816773.249 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.249 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.249 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1545816773.249 * [misc]taylor: Taking taylor expansion of -1 in n 1545816773.249 * [misc]backup-simplify: Simplify -1 into -1 1545816773.249 * [misc]taylor: Taking taylor expansion of n in n 1545816773.249 * [misc]backup-simplify: Simplify 0 into 0 1545816773.249 * [misc]backup-simplify: Simplify 1 into 1 1545816773.249 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1545816773.249 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.249 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.250 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.250 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.250 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1545816773.250 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.250 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.250 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of k in n 1545816773.250 * [misc]backup-simplify: Simplify k into k 1545816773.250 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1545816773.250 * [misc]taylor: Taking taylor expansion of 1/2 in n 1545816773.250 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.250 * [misc]taylor: Taking taylor expansion of (log 2) in n 1545816773.250 * [misc]taylor: Taking taylor expansion of 2 in n 1545816773.250 * [misc]backup-simplify: Simplify 2 into 2 1545816773.251 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.251 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1545816773.251 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1545816773.251 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1545816773.251 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.251 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.251 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1545816773.251 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1545816773.251 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1545816773.251 * [misc]taylor: Taking taylor expansion of (log 2) in k 1545816773.251 * [misc]taylor: Taking taylor expansion of 2 in k 1545816773.252 * [misc]backup-simplify: Simplify 2 into 2 1545816773.252 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1545816773.252 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.252 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.252 * [misc]taylor: Taking taylor expansion of k in k 1545816773.252 * [misc]backup-simplify: Simplify 0 into 0 1545816773.252 * [misc]backup-simplify: Simplify 1 into 1 1545816773.252 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.252 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.252 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.252 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.252 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1545816773.252 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1545816773.252 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1545816773.252 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.253 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of k in k 1545816773.253 * [misc]backup-simplify: Simplify 0 into 0 1545816773.253 * [misc]backup-simplify: Simplify 1 into 1 1545816773.253 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1545816773.253 * [misc]taylor: Taking taylor expansion of 1/2 in k 1545816773.253 * [misc]backup-simplify: Simplify 1/2 into 1/2 1545816773.253 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of (log -1) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of -1 in k 1545816773.253 * [misc]backup-simplify: Simplify -1 into -1 1545816773.253 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1545816773.253 * [misc]taylor: Taking taylor expansion of (log n) in k 1545816773.253 * [misc]taylor: Taking taylor expansion of n in k 1545816773.253 * [misc]backup-simplify: Simplify n into n 1545816773.253 * [misc]backup-simplify: Simplify (log n) into (log n) 1545816773.253 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1545816773.253 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1545816773.253 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1545816773.253 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1545816773.254 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1545816773.254 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1545816773.254 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.254 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1545816773.256 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1545816773.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.256 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.256 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0 1545816773.257 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.257 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1545816773.259 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1545816773.259 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1545816773.259 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1545816773.259 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.259 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1545816773.260 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1545816773.261 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1545816773.261 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.261 * [misc]backup-simplify: Simplify 0 into 0 1545816773.261 * [misc]backup-simplify: Simplify 0 into 0 1545816773.261 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1545816773.261 * [misc]backup-simplify: Simplify 0 into 0 1545816773.264 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1545816773.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.264 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.264 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1545816773.265 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.268 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1545816773.268 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.269 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1545816773.269 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.269 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.269 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1545816773.270 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1545816773.271 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1545816773.271 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.271 * [misc]backup-simplify: Simplify 0 into 0 1545816773.271 * [misc]backup-simplify: Simplify 0 into 0 1545816773.271 * [misc]backup-simplify: Simplify 0 into 0 1545816773.272 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1545816773.272 * [misc]backup-simplify: Simplify 0 into 0 1545816773.275 * [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 1545816773.276 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.276 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.276 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1545816773.278 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.279 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1545816773.284 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1545816773.285 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1545816773.285 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1545816773.285 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1545816773.286 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1545816773.286 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1545816773.290 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1545816773.291 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1545816773.292 * [misc]taylor: Taking taylor expansion of 0 in k 1545816773.292 * [misc]backup-simplify: Simplify 0 into 0 1545816773.292 * [misc]backup-simplify: Simplify 0 into 0 1545816773.292 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816773.292 * * * [misc]progress: simplifying candidates 1545816773.293 * * * * [misc]progress: [ 1 / 94 ] simplifiying candidate # 1545816773.293 * * * * [misc]progress: [ 2 / 94 ] simplifiying candidate # 1545816773.293 * [enter]simplify: Simplifying (pow n (/ k 2)) 1545816773.293 * * [misc]simplify: iters left: 3 (5 enodes) 1545816773.295 * [exit]simplify: Simplified to (pow n (/ k 2)) 1545816773.295 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (/ (pow n 1/2) (pow n (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.295 * * * * [misc]progress: [ 3 / 94 ] simplifiying candidate # 1545816773.295 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816773.295 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.297 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.299 * * [misc]simplify: iters left: 3 (11 enodes) 1545816773.302 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816773.302 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (pow n (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.302 * * * * [misc]progress: [ 4 / 94 ] simplifiying candidate # 1545816773.302 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816773.302 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.304 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.306 * * [misc]simplify: iters left: 3 (11 enodes) 1545816773.309 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816773.309 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (pow n (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.309 * * * * [misc]progress: [ 5 / 94 ] simplifiying candidate # 1545816773.310 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816773.310 * * [misc]simplify: iters left: 4 (5 enodes) 1545816773.311 * * [misc]simplify: iters left: 3 (7 enodes) 1545816773.313 * * [misc]simplify: iters left: 2 (10 enodes) 1545816773.315 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816773.315 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (pow n 1) (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.315 * * * * [misc]progress: [ 6 / 94 ] simplifiying candidate # 1545816773.316 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1545816773.316 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.317 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.319 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1545816773.319 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n 1/2) (pow n (/ (- k) 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.319 * * * * [misc]progress: [ 7 / 94 ] simplifiying candidate # 1545816773.320 * [enter]simplify: Simplifying (pow n (- (/ k 2))) 1545816773.320 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.321 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.323 * [exit]simplify: Simplified to (pow n (/ (- k) 2)) 1545816773.323 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n 1/2) (pow n (/ (- k) 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.323 * * * * [misc]progress: [ 8 / 94 ] simplifiying candidate # 1545816773.323 * * * * [misc]progress: [ 9 / 94 ] simplifiying candidate # 1545816773.323 * * * * [misc]progress: [ 10 / 94 ] simplifiying candidate # 1545816773.323 * * * * [misc]progress: [ 11 / 94 ] simplifiying candidate # 1545816773.323 * * * * [misc]progress: [ 12 / 94 ] simplifiying candidate # 1545816773.323 * * * * [misc]progress: [ 13 / 94 ] simplifiying candidate # 1545816773.324 * * * * [misc]progress: [ 14 / 94 ] simplifiying candidate # 1545816773.324 * * * * [misc]progress: [ 15 / 94 ] simplifiying candidate # 1545816773.324 * * * * [misc]progress: [ 16 / 94 ] simplifiying candidate # 1545816773.324 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1545816773.324 * * [misc]simplify: iters left: 3 (5 enodes) 1545816773.325 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1545816773.325 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.325 * * * * [misc]progress: [ 17 / 94 ] simplifiying candidate # 1545816773.325 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1545816773.326 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.327 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.329 * * [misc]simplify: iters left: 3 (11 enodes) 1545816773.331 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1545816773.332 * [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 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.332 * * * * [misc]progress: [ 18 / 94 ] simplifiying candidate # 1545816773.332 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1545816773.332 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.333 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.335 * * [misc]simplify: iters left: 3 (11 enodes) 1545816773.338 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1545816773.338 * [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 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.338 * * * * [misc]progress: [ 19 / 94 ] simplifiying candidate # 1545816773.338 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816773.338 * * [misc]simplify: iters left: 4 (5 enodes) 1545816773.341 * * [misc]simplify: iters left: 3 (7 enodes) 1545816773.343 * * [misc]simplify: iters left: 2 (10 enodes) 1545816773.345 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816773.345 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.345 * * * * [misc]progress: [ 20 / 94 ] simplifiying candidate # 1545816773.345 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545816773.345 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.347 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.349 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545816773.349 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.349 * * * * [misc]progress: [ 21 / 94 ] simplifiying candidate # 1545816773.349 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1545816773.349 * * [misc]simplify: iters left: 5 (6 enodes) 1545816773.351 * * [misc]simplify: iters left: 4 (8 enodes) 1545816773.353 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1545816773.353 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816773.353 * * * * [misc]progress: [ 22 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 23 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 24 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 25 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 26 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 27 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 28 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 29 / 94 ] simplifiying candidate # 1545816773.353 * * * * [misc]progress: [ 30 / 94 ] simplifiying candidate # 1545816773.353 * [enter]simplify: Simplifying (- (+ (* (log n) (- 1/2 (/ k 2))) (* (log 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545816773.354 * * [misc]simplify: iters left: 6 (14 enodes) 1545816773.358 * * [misc]simplify: iters left: 5 (25 enodes) 1545816773.366 * * [misc]simplify: iters left: 4 (51 enodes) 1545816773.386 * * [misc]simplify: iters left: 3 (134 enodes) 1545816773.436 * * [misc]simplify: iters left: 2 (283 enodes) 1545816773.577 * [exit]simplify: Simplified to (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816773.577 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545816773.577 * * * * [misc]progress: [ 31 / 94 ] simplifiying candidate # 1545816773.577 * [enter]simplify: Simplifying (- (+ (* (log n) (- 1/2 (/ k 2))) (log (pow 2 (- 1/2 (/ k 2))))) (log (sqrt k))) 1545816773.577 * * [misc]simplify: iters left: 6 (14 enodes) 1545816773.582 * * [misc]simplify: iters left: 5 (24 enodes) 1545816773.586 * * [misc]simplify: iters left: 4 (46 enodes) 1545816773.599 * * [misc]simplify: iters left: 3 (96 enodes) 1545816773.641 * * [misc]simplify: iters left: 2 (242 enodes) 1545816773.703 * * [misc]simplify: iters left: 1 (498 enodes) 1545816773.997 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (log (sqrt k))) 1545816773.997 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (log (sqrt k)))))) 1545816773.997 * * * * [misc]progress: [ 32 / 94 ] simplifiying candidate # 1545816773.998 * [enter]simplify: Simplifying (- (+ (log (pow n (- 1/2 (/ k 2)))) (* (log 2) (- 1/2 (/ k 2)))) (log (sqrt k))) 1545816773.998 * * [misc]simplify: iters left: 6 (14 enodes) 1545816774.003 * * [misc]simplify: iters left: 5 (24 enodes) 1545816774.011 * * [misc]simplify: iters left: 4 (46 enodes) 1545816774.028 * * [misc]simplify: iters left: 3 (96 enodes) 1545816774.076 * * [misc]simplify: iters left: 2 (246 enodes) 1545816774.191 * [exit]simplify: Simplified to (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816774.191 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545816774.191 * * * * [misc]progress: [ 33 / 94 ] simplifiying candidate # 1545816774.192 * [enter]simplify: Simplifying (- (+ (log (pow n (- 1/2 (/ k 2)))) (log (pow 2 (- 1/2 (/ k 2))))) (log (sqrt k))) 1545816774.192 * * [misc]simplify: iters left: 6 (14 enodes) 1545816774.194 * * [misc]simplify: iters left: 5 (25 enodes) 1545816774.198 * * [misc]simplify: iters left: 4 (42 enodes) 1545816774.205 * * [misc]simplify: iters left: 3 (66 enodes) 1545816774.223 * * [misc]simplify: iters left: 2 (212 enodes) 1545816774.313 * * [misc]simplify: iters left: 1 (466 enodes) 1545816774.586 * [exit]simplify: Simplified to (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816774.586 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545816774.586 * * * * [misc]progress: [ 34 / 94 ] simplifiying candidate # 1545816774.586 * [enter]simplify: Simplifying (- (log (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (log (sqrt k))) 1545816774.586 * * [misc]simplify: iters left: 6 (13 enodes) 1545816774.588 * * [misc]simplify: iters left: 5 (21 enodes) 1545816774.591 * * [misc]simplify: iters left: 4 (34 enodes) 1545816774.596 * * [misc]simplify: iters left: 3 (48 enodes) 1545816774.604 * * [misc]simplify: iters left: 2 (69 enodes) 1545816774.638 * * [misc]simplify: iters left: 1 (225 enodes) 1545816774.751 * [exit]simplify: Simplified to (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k))) 1545816774.751 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (exp (- (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1545816774.751 * * * * [misc]progress: [ 35 / 94 ] simplifiying candidate # 1545816774.751 * * * * [misc]progress: [ 36 / 94 ] simplifiying candidate # 1545816774.751 * * * * [misc]progress: [ 37 / 94 ] simplifiying candidate # 1545816774.751 * [enter]simplify: Simplifying (/ (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545816774.751 * * [misc]simplify: iters left: 6 (17 enodes) 1545816774.754 * * [misc]simplify: iters left: 5 (34 enodes) 1545816774.760 * * [misc]simplify: iters left: 4 (114 enodes) 1545816774.789 * * [misc]simplify: iters left: 3 (360 enodes) 1545816775.015 * [exit]simplify: Simplified to (* (* (/ (pow n (- 1/2 (/ k 2))) k) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1545816775.015 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (* (/ (pow n (- 1/2 (/ k 2))) k) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))))) 1545816775.015 * * * * [misc]progress: [ 38 / 94 ] simplifiying candidate # 1545816775.015 * [enter]simplify: Simplifying (/ (* (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) 1545816775.015 * * [misc]simplify: iters left: 6 (15 enodes) 1545816775.023 * * [misc]simplify: iters left: 5 (33 enodes) 1545816775.035 * * [misc]simplify: iters left: 4 (96 enodes) 1545816775.079 * * [misc]simplify: iters left: 3 (311 enodes) 1545816775.355 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (sqrt k) k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) 1545816775.355 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (cbrt (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (sqrt k) k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))))) 1545816775.356 * * * * [misc]progress: [ 39 / 94 ] simplifiying candidate # 1545816775.356 * * * * [misc]progress: [ 40 / 94 ] simplifiying candidate # 1545816775.356 * * * * [misc]progress: [ 41 / 94 ] simplifiying candidate # 1545816775.356 * * * * [misc]progress: [ 42 / 94 ] simplifiying candidate # 1545816775.356 * * * * [misc]progress: [ 43 / 94 ] simplifiying candidate # 1545816775.356 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816775.356 * * [misc]simplify: iters left: 6 (11 enodes) 1545816775.360 * * [misc]simplify: iters left: 5 (15 enodes) 1545816775.364 * * [misc]simplify: iters left: 4 (18 enodes) 1545816775.369 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1545816775.370 * [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)))))) 1545816775.370 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816775.370 * * [misc]simplify: iters left: 6 (9 enodes) 1545816775.373 * * [misc]simplify: iters left: 5 (11 enodes) 1545816775.376 * * [misc]simplify: iters left: 4 (14 enodes) 1545816775.379 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1545816775.380 * [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)))))) 1545816775.380 * * * * [misc]progress: [ 44 / 94 ] simplifiying candidate # 1545816775.380 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816775.380 * * [misc]simplify: iters left: 6 (10 enodes) 1545816775.383 * * [misc]simplify: iters left: 5 (12 enodes) 1545816775.386 * * [misc]simplify: iters left: 4 (15 enodes) 1545816775.390 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816775.390 * [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)))))) 1545816775.391 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816775.391 * * [misc]simplify: iters left: 6 (9 enodes) 1545816775.393 * * [misc]simplify: iters left: 5 (11 enodes) 1545816775.396 * * [misc]simplify: iters left: 4 (14 enodes) 1545816775.400 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1545816775.400 * [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)))))) 1545816775.400 * * * * [misc]progress: [ 45 / 94 ] simplifiying candidate # 1545816775.401 * [enter]simplify: Simplifying (/ (pow n (- 1/2 (/ k 2))) 1) 1545816775.401 * * [misc]simplify: iters left: 6 (9 enodes) 1545816775.403 * * [misc]simplify: iters left: 5 (13 enodes) 1545816775.407 * * [misc]simplify: iters left: 4 (18 enodes) 1545816775.412 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545816775.412 * [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))))) 1545816775.412 * [enter]simplify: Simplifying (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816775.412 * * [misc]simplify: iters left: 6 (8 enodes) 1545816775.414 * * [misc]simplify: iters left: 5 (10 enodes) 1545816775.417 * * [misc]simplify: iters left: 4 (13 enodes) 1545816775.421 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1545816775.421 * [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))))) 1545816775.421 * * * * [misc]progress: [ 46 / 94 ] simplifiying candidate # 1545816775.421 * * * * [misc]progress: [ 47 / 94 ] simplifiying candidate # 1545816775.421 * * * * [misc]progress: [ 48 / 94 ] simplifiying candidate # 1545816775.421 * * * * [misc]progress: [ 49 / 94 ] simplifiying candidate # 1545816775.421 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1545816775.421 * * [misc]simplify: iters left: 2 (3 enodes) 1545816775.422 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1545816775.422 * [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)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))) 1545816775.422 * * * * [misc]progress: [ 50 / 94 ] simplifiying candidate # 1545816775.422 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1545816775.423 * * [misc]simplify: iters left: 2 (3 enodes) 1545816775.423 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1545816775.423 * [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 (sqrt k))) (sqrt (sqrt k))))) 1545816775.423 * * * * [misc]progress: [ 51 / 94 ] simplifiying candidate # 1545816775.424 * [enter]simplify: Simplifying (sqrt k) 1545816775.424 * * [misc]simplify: iters left: 1 (2 enodes) 1545816775.424 * [exit]simplify: Simplified to (sqrt k) 1545816775.424 * [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)))) 1) (sqrt k)))) 1545816775.424 * * * * [misc]progress: [ 52 / 94 ] simplifiying candidate # 1545816775.425 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1545816775.425 * * [misc]simplify: iters left: 5 (7 enodes) 1545816775.427 * * [misc]simplify: iters left: 4 (9 enodes) 1545816775.429 * * [misc]simplify: iters left: 3 (12 enodes) 1545816775.432 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1545816775.433 * [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))))))) 1545816775.433 * * * * [misc]progress: [ 53 / 94 ] simplifiying candidate # 1545816775.433 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 1/2)) 1545816775.433 * * [misc]simplify: iters left: 3 (6 enodes) 1545816775.436 * * [misc]simplify: iters left: 2 (9 enodes) 1545816775.439 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt n)) 1545816775.439 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (sqrt 2) (sqrt n)) (* (sqrt k) (* (pow n (/ k 2)) (pow 2 (/ k 2))))))) 1545816775.440 * * * * [misc]progress: [ 54 / 94 ] simplifiying candidate # 1545816775.440 * [enter]simplify: Simplifying (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) 1545816775.440 * * [misc]simplify: iters left: 6 (9 enodes) 1545816775.444 * * [misc]simplify: iters left: 5 (13 enodes) 1545816775.449 * * [misc]simplify: iters left: 4 (16 enodes) 1545816775.454 * [exit]simplify: Simplified to (* (sqrt 2) (pow n (- 1/2 (/ k 2)))) 1545816775.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (sqrt 2) (pow n (- 1/2 (/ k 2)))) (* (sqrt k) (pow 2 (/ k 2)))))) 1545816775.454 * * * * [misc]progress: [ 55 / 94 ] simplifiying candidate # 1545816775.454 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))) 1545816775.454 * * [misc]simplify: iters left: 6 (9 enodes) 1545816775.457 * * [misc]simplify: iters left: 5 (13 enodes) 1545816775.460 * * [misc]simplify: iters left: 4 (16 enodes) 1545816775.465 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) 1545816775.465 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) (* (sqrt k) (pow n (/ k 2)))))) 1545816775.465 * * * * [misc]progress: [ 56 / 94 ] simplifiying candidate # 1545816775.468 * [enter]simplify: Simplifying (* n 2) 1545816775.468 * * [misc]simplify: iters left: 2 (3 enodes) 1545816775.469 * * [misc]simplify: iters left: 1 (4 enodes) 1545816775.470 * [exit]simplify: Simplified to (* n 2) 1545816775.470 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816775.470 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1545816775.470 * * [misc]simplify: iters left: 4 (5 enodes) 1545816775.472 * * [misc]simplify: iters left: 3 (7 enodes) 1545816775.474 * * [misc]simplify: iters left: 2 (10 enodes) 1545816775.476 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1545816775.476 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1545816775.476 * * * * [misc]progress: [ 57 / 94 ] simplifiying candidate # 1545816775.477 * * * * [misc]progress: [ 58 / 94 ] simplifiying candidate # 1545816775.477 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (* (log 2) (- 1/2 (/ k 2)))) 1545816775.477 * * [misc]simplify: iters left: 6 (11 enodes) 1545816775.481 * * [misc]simplify: iters left: 5 (18 enodes) 1545816775.487 * * [misc]simplify: iters left: 4 (36 enodes) 1545816775.501 * * [misc]simplify: iters left: 3 (80 enodes) 1545816775.528 * * [misc]simplify: iters left: 2 (141 enodes) 1545816775.579 * * [misc]simplify: iters left: 1 (224 enodes) 1545816775.665 * [exit]simplify: Simplified to (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) 1545816775.665 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545816775.665 * * * * [misc]progress: [ 59 / 94 ] simplifiying candidate # 1545816775.666 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (log (pow 2 (- 1/2 (/ k 2))))) 1545816775.666 * * [misc]simplify: iters left: 6 (11 enodes) 1545816775.668 * * [misc]simplify: iters left: 5 (17 enodes) 1545816775.671 * * [misc]simplify: iters left: 4 (31 enodes) 1545816775.677 * * [misc]simplify: iters left: 3 (58 enodes) 1545816775.689 * * [misc]simplify: iters left: 2 (129 enodes) 1545816775.728 * * [misc]simplify: iters left: 1 (200 enodes) 1545816775.780 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1545816775.780 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545816775.780 * * * * [misc]progress: [ 60 / 94 ] simplifiying candidate # 1545816775.780 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (* (log 2) (- 1/2 (/ k 2)))) 1545816775.780 * * [misc]simplify: iters left: 6 (11 enodes) 1545816775.782 * * [misc]simplify: iters left: 5 (17 enodes) 1545816775.785 * * [misc]simplify: iters left: 4 (31 enodes) 1545816775.791 * * [misc]simplify: iters left: 3 (58 enodes) 1545816775.805 * * [misc]simplify: iters left: 2 (129 enodes) 1545816775.851 * * [misc]simplify: iters left: 1 (200 enodes) 1545816775.928 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1545816775.928 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545816775.928 * * * * [misc]progress: [ 61 / 94 ] simplifiying candidate # 1545816775.928 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (log (pow 2 (- 1/2 (/ k 2))))) 1545816775.929 * * [misc]simplify: iters left: 6 (11 enodes) 1545816775.933 * * [misc]simplify: iters left: 5 (18 enodes) 1545816775.937 * * [misc]simplify: iters left: 4 (27 enodes) 1545816775.943 * * [misc]simplify: iters left: 3 (44 enodes) 1545816775.952 * * [misc]simplify: iters left: 2 (100 enodes) 1545816775.968 * * [misc]simplify: iters left: 1 (169 enodes) 1545816776.033 * [exit]simplify: Simplified to (* (+ (log 2) (log n)) (- 1/2 (/ k 2))) 1545816776.033 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (+ (log 2) (log n)) (- 1/2 (/ k 2)))) (sqrt k)))) 1545816776.033 * * * * [misc]progress: [ 62 / 94 ] simplifiying candidate # 1545816776.033 * * * * [misc]progress: [ 63 / 94 ] simplifiying candidate # 1545816776.033 * * * * [misc]progress: [ 64 / 94 ] simplifiying candidate # 1545816776.034 * [enter]simplify: Simplifying (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1545816776.034 * * [misc]simplify: iters left: 6 (13 enodes) 1545816776.038 * * [misc]simplify: iters left: 5 (22 enodes) 1545816776.045 * * [misc]simplify: iters left: 4 (50 enodes) 1545816776.066 * * [misc]simplify: iters left: 3 (82 enodes) 1545816776.081 * * [misc]simplify: iters left: 2 (97 enodes) 1545816776.093 * * [misc]simplify: iters left: 1 (98 enodes) 1545816776.103 * [exit]simplify: Simplified to (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3) 1545816776.103 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (cbrt (pow (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 3)) (sqrt k)))) 1545816776.104 * * * * [misc]progress: [ 65 / 94 ] simplifiying candidate # 1545816776.104 * * * * [misc]progress: [ 66 / 94 ] simplifiying candidate # 1545816776.104 * * * * [misc]progress: [ 67 / 94 ] simplifiying candidate # 1545816776.104 * * * * [misc]progress: [ 68 / 94 ] simplifiying candidate # 1545816776.104 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 1/2)) 1545816776.104 * * [misc]simplify: iters left: 3 (6 enodes) 1545816776.108 * * [misc]simplify: iters left: 2 (9 enodes) 1545816776.111 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt n)) 1545816776.111 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (* (sqrt 2) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k)))) 1545816776.111 * [enter]simplify: Simplifying (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1545816776.111 * * [misc]simplify: iters left: 5 (7 enodes) 1545816776.114 * * [misc]simplify: iters left: 4 (8 enodes) 1545816776.116 * [exit]simplify: Simplified to (* (pow n (/ k 2)) (pow 2 (/ k 2))) 1545816776.116 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (* (sqrt 2) (sqrt n)) (* (pow n (/ k 2)) (pow 2 (/ k 2)))) (sqrt k)))) 1545816776.116 * * * * [misc]progress: [ 69 / 94 ] simplifiying candidate # 1545816776.116 * * * * [misc]progress: [ 70 / 94 ] simplifiying candidate # 1545816776.116 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1545816776.117 * * [misc]simplify: iters left: 5 (5 enodes) 1545816776.118 * * [misc]simplify: iters left: 4 (7 enodes) 1545816776.120 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1545816776.120 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (- (/ k 2)))) (sqrt k)))) 1545816776.120 * * * * [misc]progress: [ 71 / 94 ] simplifiying candidate # 1545816776.121 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1545816776.121 * * [misc]simplify: iters left: 5 (5 enodes) 1545816776.122 * * [misc]simplify: iters left: 4 (7 enodes) 1545816776.124 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1545816776.124 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (- (/ k 2)))) (sqrt k)))) 1545816776.124 * * * * [misc]progress: [ 72 / 94 ] simplifiying candidate # 1545816776.125 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1545816776.125 * * [misc]simplify: iters left: 6 (7 enodes) 1545816776.127 * * [misc]simplify: iters left: 5 (9 enodes) 1545816776.128 * * [misc]simplify: iters left: 4 (12 enodes) 1545816776.130 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1545816776.130 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.130 * * * * [misc]progress: [ 73 / 94 ] simplifiying candidate # 1545816776.130 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1545816776.130 * * [misc]simplify: iters left: 6 (7 enodes) 1545816776.131 * * [misc]simplify: iters left: 5 (9 enodes) 1545816776.133 * * [misc]simplify: iters left: 4 (12 enodes) 1545816776.134 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1545816776.134 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.134 * * * * [misc]progress: [ 74 / 94 ] simplifiying candidate # 1545816776.134 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1545816776.134 * * [misc]simplify: iters left: 5 (6 enodes) 1545816776.135 * * [misc]simplify: iters left: 4 (8 enodes) 1545816776.136 * * [misc]simplify: iters left: 3 (11 enodes) 1545816776.138 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1545816776.138 * [misc]simplify: Simplified (2 2 1 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)))) 1545816776.138 * * * * [misc]progress: [ 75 / 94 ] simplifiying candidate # 1545816776.138 * [enter]simplify: Simplifying (pow n 1/2) 1545816776.138 * * [misc]simplify: iters left: 1 (3 enodes) 1545816776.139 * [exit]simplify: Simplified to (sqrt n) 1545816776.139 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (sqrt n) (* (pow n (- (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.139 * * * * [misc]progress: [ 76 / 94 ] simplifiying candidate # 1545816776.139 * [enter]simplify: Simplifying (pow n 1/2) 1545816776.139 * * [misc]simplify: iters left: 1 (3 enodes) 1545816776.139 * [exit]simplify: Simplified to (sqrt n) 1545816776.139 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (sqrt n) (* (pow n (- (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.139 * * * * [misc]progress: [ 77 / 94 ] simplifiying candidate # 1545816776.140 * [enter]simplify: Simplifying (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1545816776.140 * * [misc]simplify: iters left: 6 (9 enodes) 1545816776.141 * * [misc]simplify: iters left: 5 (11 enodes) 1545816776.142 * * [misc]simplify: iters left: 4 (14 enodes) 1545816776.144 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1545816776.144 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.144 * * * * [misc]progress: [ 78 / 94 ] simplifiying candidate # 1545816776.145 * [enter]simplify: Simplifying (sqrt (pow n (- 1/2 (/ k 2)))) 1545816776.145 * * [misc]simplify: iters left: 6 (8 enodes) 1545816776.146 * * [misc]simplify: iters left: 5 (10 enodes) 1545816776.147 * * [misc]simplify: iters left: 4 (13 enodes) 1545816776.150 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1545816776.150 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) (sqrt k)))) 1545816776.150 * * * * [misc]progress: [ 79 / 94 ] simplifiying candidate # 1545816776.150 * * * * [misc]progress: [ 80 / 94 ] simplifiying candidate # 1545816776.151 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1545816776.151 * * [misc]simplify: iters left: 3 (4 enodes) 1545816776.151 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1545816776.151 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 1/2)) (pow 2 (/ k 2))) (sqrt k)))) 1545816776.151 * * * * [misc]progress: [ 81 / 94 ] simplifiying candidate # 1545816776.151 * [enter]simplify: Simplifying (* (pow n 1/2) (pow 2 (- 1/2 (/ k 2)))) 1545816776.152 * * [misc]simplify: iters left: 6 (9 enodes) 1545816776.153 * * [misc]simplify: iters left: 5 (13 enodes) 1545816776.155 * * [misc]simplify: iters left: 4 (16 enodes) 1545816776.158 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) 1545816776.158 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (/ (* (pow 2 (- 1/2 (/ k 2))) (sqrt n)) (pow n (/ k 2))) (sqrt k)))) 1545816776.158 * * * * [misc]progress: [ 82 / 94 ] simplifiying candidate # 1545816776.158 * * * * [misc]progress: [ 83 / 94 ] simplifiying candidate # 1545816776.159 * [enter]simplify: Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k)))) 1545816776.159 * * [misc]simplify: iters left: 6 (18 enodes) 1545816776.165 * * [misc]simplify: iters left: 5 (39 enodes) 1545816776.180 * * [misc]simplify: iters left: 4 (105 enodes) 1545816776.204 * * [misc]simplify: iters left: 3 (252 enodes) 1545816776.354 * [exit]simplify: Simplified to (+ (+ (* (* (sqrt n) -1/2) (* k (log n))) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) 1545816776.354 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (+ (+ (* (* (sqrt n) -1/2) (* k (log n))) (sqrt n)) (* (* (* k (log n)) (* k (log n))) (* (sqrt n) 1/8))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816776.354 * * * * [misc]progress: [ 84 / 94 ] simplifiying candidate # 1545816776.354 * [enter]simplify: Simplifying (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) 1545816776.354 * * [misc]simplify: iters left: 6 (12 enodes) 1545816776.360 * * [misc]simplify: iters left: 5 (28 enodes) 1545816776.371 * * [misc]simplify: iters left: 4 (67 enodes) 1545816776.399 * * [misc]simplify: iters left: 3 (159 enodes) 1545816776.499 * * [misc]simplify: iters left: 2 (324 enodes) 1545816776.694 * [exit]simplify: Simplified to (pow n (- 1/2 (* k 1/2))) 1545816776.695 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (* k 1/2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816776.695 * * * * [misc]progress: [ 85 / 94 ] simplifiying candidate # 1545816776.695 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) 1545816776.695 * * [misc]simplify: iters left: 6 (12 enodes) 1545816776.700 * * [misc]simplify: iters left: 5 (22 enodes) 1545816776.708 * * [misc]simplify: iters left: 4 (52 enodes) 1545816776.734 * * [misc]simplify: iters left: 3 (141 enodes) 1545816776.799 * * [misc]simplify: iters left: 2 (402 enodes) 1545816777.175 * [exit]simplify: Simplified to (pow (sqrt n) (- 1 k)) 1545816777.175 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (* (pow (sqrt n) (- 1 k)) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816777.175 * * * * [misc]progress: [ 86 / 94 ] simplifiying candidate # 1545816777.175 * [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)))) 1545816777.175 * * [misc]simplify: iters left: 6 (18 enodes) 1545816777.181 * * [misc]simplify: iters left: 5 (39 enodes) 1545816777.195 * * [misc]simplify: iters left: 4 (104 enodes) 1545816777.237 * * [misc]simplify: iters left: 3 (270 enodes) 1545816777.380 * [exit]simplify: Simplified to (* (+ (+ 1 (* (* k -1/2) (log PI))) (* (* (* 1/8 k) (log PI)) (* k (log PI)))) (sqrt PI)) 1545816777.380 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (+ (+ 1 (* (* k -1/2) (log PI))) (* (* (* 1/8 k) (log PI)) (* k (log PI)))) (sqrt PI)) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816777.380 * * * * [misc]progress: [ 87 / 94 ] simplifiying candidate # 1545816777.381 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545816777.381 * * [misc]simplify: iters left: 5 (6 enodes) 1545816777.382 * * [misc]simplify: iters left: 4 (9 enodes) 1545816777.386 * * [misc]simplify: iters left: 3 (17 enodes) 1545816777.390 * * [misc]simplify: iters left: 2 (20 enodes) 1545816777.395 * * [misc]simplify: iters left: 1 (24 enodes) 1545816777.405 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545816777.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816777.405 * * * * [misc]progress: [ 88 / 94 ] simplifiying candidate # 1545816777.405 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1545816777.405 * * [misc]simplify: iters left: 5 (6 enodes) 1545816777.407 * * [misc]simplify: iters left: 4 (9 enodes) 1545816777.410 * * [misc]simplify: iters left: 3 (17 enodes) 1545816777.414 * * [misc]simplify: iters left: 2 (20 enodes) 1545816777.419 * * [misc]simplify: iters left: 1 (24 enodes) 1545816777.429 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1545816777.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (* k 1/2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt k)))) 1545816777.429 * * * * [misc]progress: [ 89 / 94 ] simplifiying candidate # 1545816777.429 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) k) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n)))))))))))))))))))))) 1545816777.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816777.429 * * * * [misc]progress: [ 90 / 94 ] simplifiying candidate # 1545816777.430 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1545816777.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816777.430 * * * * [misc]progress: [ 91 / 94 ] simplifiying candidate # 1545816777.430 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))))))) 1545816777.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) +nan.0)) 1545816777.430 * * * * [misc]progress: [ 92 / 94 ] simplifiying candidate # 1545816777.431 * [enter]simplify: Simplifying (- (+ (* (sqrt 2) (sqrt n)) (+ (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (* (log n) (pow k 2)))) (sqrt n))) (* 1/8 (* (* (sqrt 2) (* (pow (log n) 2) (pow k 2))) (sqrt n)))))) (+ (* 1/2 (* (* (sqrt 2) (* (log n) k)) (sqrt n))) (* 1/2 (* (* (log 2) (* (sqrt 2) k)) (sqrt n))))) 1545816777.431 * * [misc]simplify: iters left: 6 (40 enodes) 1545816777.447 * * [misc]simplify: iters left: 5 (111 enodes) 1545816777.492 * * [misc]simplify: iters left: 4 (370 enodes) 1545816777.737 * [exit]simplify: Simplified to (+ (+ (+ (* (* (* 1/4 (sqrt n)) (log 2)) (* (* (* k k) (log n)) (sqrt 2))) (* (* (* (sqrt n) 1/8) (sqrt 2)) (* (* k k) (* (log 2) (log 2))))) (* (sqrt n) (sqrt 2))) (- (* (* (* (sqrt n) 1/8) (sqrt 2)) (* (* (log n) k) (* (log n) k))) (* (* (sqrt n) 1/2) (* (* k (sqrt 2)) (+ (log n) (log 2)))))) 1545816777.737 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (+ (+ (+ (* (* (* 1/4 (sqrt n)) (log 2)) (* (* (* k k) (log n)) (sqrt 2))) (* (* (* (sqrt n) 1/8) (sqrt 2)) (* (* k k) (* (log 2) (log 2))))) (* (sqrt n) (sqrt 2))) (- (* (* (* (sqrt n) 1/8) (sqrt 2)) (* (* (log n) k) (* (log n) k))) (* (* (sqrt n) 1/2) (* (* k (sqrt 2)) (+ (log n) (log 2)))))) (sqrt k)))) 1545816777.737 * * * * [misc]progress: [ 93 / 94 ] simplifiying candidate # 1545816777.738 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816777.738 * * [misc]simplify: iters left: 6 (17 enodes) 1545816777.750 * * [misc]simplify: iters left: 5 (40 enodes) 1545816777.765 * * [misc]simplify: iters left: 4 (87 enodes) 1545816777.798 * * [misc]simplify: iters left: 3 (218 enodes) 1545816777.905 * [exit]simplify: Simplified to (exp (* (- 1/2 (* k 1/2)) (+ (log 2) (log n)))) 1545816777.905 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (- 1/2 (* k 1/2)) (+ (log 2) (log n)))) (sqrt k)))) 1545816777.905 * * * * [misc]progress: [ 94 / 94 ] simplifiying candidate # 1545816777.905 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) 1545816777.905 * * [misc]simplify: iters left: 6 (17 enodes) 1545816777.909 * * [misc]simplify: iters left: 5 (34 enodes) 1545816777.915 * * [misc]simplify: iters left: 4 (74 enodes) 1545816777.933 * * [misc]simplify: iters left: 3 (217 enodes) 1545816778.041 * [exit]simplify: Simplified to (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1545816778.041 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (sqrt k)))) 1545816778.041 * * * [misc]progress: adding candidates to table 1545816779.710 * [misc]progress: [Phase 3 of 3] Extracting. 1545816779.710 * * [misc]regime: Finding splitpoints for: (# # # # # #) 1545816779.713 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1545816779.713 * * * * [misc]regimes: Trying to branch on n from (# # # # # #) 1545816779.809 * * * * [misc]regimes: Trying to branch on k from (# # # # # #) 1545816779.869 * * * [misc]regime: Found split indices: #